Answer:
2 cups of flour
Step-by-step explanation:
We want to find the total amount of flour, which means we need to add.
3/4 + 2/4 + 3/4 =
8/4
We can simplify this term.
8/4 =2
2 cups of flour
Answer:
2 cups of flour
Step-by-step explanation:
A bread recipe has,
3/4 cup of rye flour
2/4 cup of wheat flour
3/4 cup of white flour
So, to find the total amount of flour, add all the given fractions together.
[tex]\sf Total\: amount\: of\: flour = rye \:flour + wheat\: flour + white \:flour\\\\\sf Total\: amount\: of\: flour =\frac{3}{4} +\frac{2}{4} +\frac{3}{4} \\\\\sf Total\: amount\: of\: flour =\frac{3+2+3}{4} \\\\\sf Total\: amount\: of\: flour =\frac{8}{4} \\\\\sf Total\: amount\: of\: flour =2 \:cups[/tex]
Show the solution how to get 10 with the numbers 3,4,7,8
To get 10, we can create an expression which sums up the
[tex]\left(3\cdot 4+8\right)\ -\left(7\ +\ 3\right)[/tex] = 10
What is sum?In mathematics, the sum refers to the result of adding two or more numbers or quantities together. It is a basic arithmetic operation that yields a total or a whole quantity.
Here, we can make a solution of 20 by
3 × 4 + 8
= 20
We know that 20 - 10 = 10
So another expression must be 10 and it is possible by:
7 + 3
So, we have the expression which has a solution 10
(3 × 4 +8 ) - (7 + 3)
To learn more about sum visit:
https://brainly.com/question/25734188
#SPJ1
terry is twice as old as ryan. terrys age now is 15 years older than ryan’s age last year. how old is each person
Determine the domain of the function F(x) =2-x/12x^2+8x
A gymnast joined a yoga studio to improve his flexibility and balance. He pays a monthly fee and a fee per class he attends. The equation y = 20 + 10x represents the amount the gymnast pays for his membership to the yoga studio per month for a certain number of classes.
The gymnast would pay a total of $50 per month for his membership to the yoga studio if he attends 3 classes per month.
What is the linear equation?
A linear equation is an algebraic equation of the form y=mx+b. where m is the slope and b is the y-intercept.
The equation y = 20 + 10x represents the total amount the gymnast pays per month for his membership to the yoga studio, where:
y is the total cost per month, in dollars
x is the number of classes the gymnast attends per month
The equation has two parts:
The constant 20 represents the fixed monthly fee the gymnast pays, regardless of how many classes he attends.
The term 10x represents the additional fee the gymnast pays for each class he attends. Since the coefficient of x is 10, the gymnast pays $10 for each class he attends.
Therefore, if the gymnast attends x classes per month, his total monthly cost would be:
Total Cost = Monthly Fee + Cost per Class * Number of Classes
y = 20 + 10x
For example, if the gymnast attends 3 classes per month, his total monthly cost would be:
y = 20 + 10(3)
y = 20 + 30
y = 50
Therefore, the gymnast would pay a total of $50 per month for his membership to the yoga studio if he attends 3 classes per month.
To learn more about the linear equation visit:
https://brainly.com/question/18831322
#SPJ1
3/2 (as a fraction) by the power of 2
Answer:
9/4
Step-by-step explanation:
3/2 x 3/2= 9/4
Which of the following is part of the set of integers?
negative whole numbers
zero
natural numbers
positive whole numbers
Answer:
negative whole numbers
zero
positive whole numbers
Step-by-step explanation:
The set of integers includes negative whole numbers, zero, and positive whole numbers. Natural numbers are a subset of integers, and include only the positive whole numbers and zero. Therefore, the correct answer is: negative whole numbers, zero, and positive whole numbers.
[tex] \rm \: good \: luck[/tex]
Answer:
The set of integers includes negative whole numbers, zero, and positive whole numbers. Natural numbers are a subset of integers that does not include zero or negative whole numbers.
Step-by-step explanation:
You have $300,000 saved for retirement. Your account earns 4% interest. How much will you be able to pull out each month, if you want to be able to take withdrawals for 15 years?
You will be able to pull out approximately $1,983.45 each month from your retirement savings if you want to be able to take withdrawals for 15 years.
What is interest rate?Interest rate is the percentage of the principal amount (a loan or an investment) that is charged or paid over a certain period of time, usually a year. It is used to calculate the amount of interest that accrues on the principal amount.
According to question:To calculate the monthly withdrawal amount that you can make from your retirement savings, we can use the present value of an annuity formula. This formula relates the present value of a series of equal periodic payments to the interest rate, the number of periods, and the payment amount.
Let's assume that you want to make monthly withdrawals for 15 years, which corresponds to 180 months. Also, let's assume that you want to withdraw the same amount each month. We can call this amount "P".
Using the present value of an annuity formula, we can solve for P:
P = PV * (r / (1 - [tex](1 + r)^(-n)[/tex]))
where PV is the present value of your retirement savings,
r is the monthly interest rate (which is 4% / 12 = 0.00333), and
n is the number of months over which you want to make withdrawals (which is 180 in this case).
Substituting the given values, we get:
P = 300,000 * (0.00333 / (1 - (1 + [tex]0.00333)^(-180)[/tex]))
≈ $1,983.45
Therefore, you will be able to pull out approximately $1,983.45 each month from your retirement savings if you want to be able to take withdrawals for 15 years. Note that this amount is an estimate and does not take into account any taxes, fees, or other factors that may affect your retirement income.
To know more about interest rate visit:
https://brainly.com/question/30505004
#SPJ1
help pls show ur work
5. The missing length = D. 91
6. The missing length = C. 5
7. The missing length = B. 121
8. The missing length = D. 30
What are similar triangles?Similar triangles are triangles that have the same shape but possibly different sizes. In other words, they have the same angles but different side lengths.
The corresponding sides of similar triangles are proportional to each other, meaning that if you were to multiply all the sides of one triangle by a certain factor, you would get the corresponding sides of the other triangle.
5. In order to find the missing length:
WU/FU = UV/UG = 130/60 = UV/42
Cross-multiplying, we have:
60UV = 130 x 42
UV = 5 460/60 = 91.
6. To find the missing length, we have:
PQ/DE = PR/DF = PQ/20 = 10/40
Cross-multiplying, we have:
40PQ = 20 x 10
PQ = 200/40 = 5.
7. To find the missing length, we have:
CE/EW = DE/EV = CE/55 = 110/50
Cross-multiplying, we have:
50CE = 110 x 55
CE = 6 050/50 = 121.
8. To find the missing length, we have:
DE/LM = CE/LN = 42/36 = 35/LN
Cross-multiplying, we have:
42LN = 35 x 36 = 1 260
LN = 1 260/42 = 30.
Learn more about similar triangles on https://brainly.com/question/29782809
#SPJ1
Solve for [tex]y[/tex] as a function of [tex]x[/tex]:
[tex]\frac{dy}{dx}=2xy^3\sin\left(x^2\right)[/tex] and [tex]y(0)=-1[/tex]
The solution to the differential equation dy / dx = 2 · x · y³ · sin x² is equal to - [1 / (2 · y²)] = - cos x² - 3 / 2.
How to solve a separable variable differential equation
In this problem we find a differential equation with separable variables, that is, an ordinary differential equation whose variables can be separated on each side of the equivalence and solved by integrals. First, write the complete expression:
dy / dx = 2 · x · y³ · sin x²
Second, separate the variables:
dy / y³ = 2 · x · sin x² dx
Third, integrate the equation:
∫ dy / y³ = ∫ sin x² · (2 · x) dx
- [1 / (2 · y²)] = - cos x² + C
Fourth, find the value of the constant of integration:
- 1 / 2 = 1 + C
C = - 3 / 2
Fifth, write the solution to the differential equation:
- [1 / (2 · y²)] = - cos x² - 3 / 2
To learn more on differential equations: https://brainly.com/question/2273154
#SPJ1
Two find the point in the solution set for both these functions equation the two functions (f(x)=g(x)) and solve for x. See full process below.
Explanation:
Two find the point in the solution set for both these functions equation the two functions (f(x)=g(x)) and solve for x.
Therefore:
2x−1=−43x+9
We can now solve for x:
2x−1+43x+1=−43x+9+43x+1
2x+43x−1+1=−43x+43x+9+1
2x+43x−0=0+9+1
2x+43x=10
(33×2)x+43x=10
63x+43x=10
103x=10
310×103x=310×10
3
10×103x=310×10
x=3 is the point which lies in the solution set for both functions.
The radius of a spherical globe is 9 inches. What is the volume of the globe?
the volume of the spherical globe with a radius of 9 inches is approximately 3053.63 cubic inches.
What is globe?
A globe is a three-dimensional, spherical representation of the Earth or another celestial body, such as a planet or a moon. It is typically made of a hollow sphere of material, such as paper, plastic, metal, or glass, with a map of the Earth or the celestial body printed or drawn on its surface.
Globes are often used as educational tools to help people visualize and understand the geography, topography, and other features of the Earth or other planets. They can be used in classrooms, museums, or other settings to teach geography, astronomy, or other related subjects.
Globes can also be decorative objects, used to add visual interest to a room or office. They come in a variety of sizes, styles, and designs, ranging from small desktop globes to large, ornate globes mounted on stands.
The formula for the volume of a sphere is V = (4/3)πr³, where V is the volume, π is the mathematical constant pi (approximately 3.14), and r is the radius of the sphere.
Using this formula and substituting the given radius of 9 inches, we can calculate the volume of the globe as follows:
V = (4/3)πr³
V = (4/3)π(9³)
V = (4/3)π(729)
V = 3053.63 cubic inches (rounded to two decimal places)
Therefore, the volume of the spherical globe with a radius of 9 inches is approximately 3053.63 cubic inches.
It's important to note that the volume of a sphere is a measure of the amount of space inside the sphere, so the volume represents the maximum amount of material that can fit inside the sphere. This calculation may be useful in a variety of contexts, such as designing packaging or calculating the capacity of a container.
To know more about radius visit :-
https://brainly.com/question/27696929
#SPJ1
The director of a basketball camp estimates that the number N of students who will enroll in a basketball camp can be modeled by
N = −0.3t + 250,
where t is the tuition for the camp in dollars.
(a)
What is the N-intercept?
(t, N) =
(b)
Write a sentence that explains the answer to part (a) in the context of the problem.
If the tuition was $
, then
students would enroll in the basketball camp.
(c)
What is the t-intercept? (Round your answers to two decimal places when necessary.)
(t, N) =
(d)
Write a sentence that explains the answer to part (c) in the context of the problem. (Round your answers to two decimal places when necessary.)
If the tuition was approximately $
, then
students would enroll in the basketball camp.
Answer:
Step-by-step explanation:
(a) To find the N-intercept, we set t to 0 in the equation N = -0.3t + 250:
N = -0.3(0) + 250
N = 250
Therefore, the N-intercept is (0, 250).
(b) The N-intercept is the point on the graph where the tuition is $0 and represents the number of students who would enroll in the basketball camp if it were free. In this case, if the tuition was $0, 250 students would enroll in the basketball camp.
(c) To find the t-intercept, we set N to 0 in the equation N = -0.3t + 250 and solve for t:
0 = -0.3t + 250
0.3t = 250
t = 250/0.3
t ≈ 833.33
Therefore, the t-intercept is approximately (833.33, 0).
(d) The t-intercept is the point on the graph where the number of students who enroll in the basketball camp is zero and represents the tuition that would need to be charged for no students to enroll. In this case, if the tuition was approximately $833.33, no students would enroll in the basketball camp.
Pro
Circle A has a circumference of 23 m. Circle B has a diameter that is
1½ times as long as Circle A's diameter. What is the circumference of
Circle B?
The circumference of Circle B is 34.5 meters.
What is circumference ?
Let's start by finding the diameter of Circle A. The formula for the circumference of a circle is:
C = πd
where C is the circumference and d is the diameter.
So we can solve for the diameter of Circle A by rearranging the formula:
d = C/π = 23/π
Now we can find the diameter of Circle B, which is 1½ times as long as Circle A's diameter:
d(B) = 1.5d(A) = 1.5(23/π)
Next, we can use the formula for the circumference of a circle to find the circumference of Circle B:
C(B) = πd(B)
C(B) = π(1.5)(23/π)
C(B) = 1.5(23)
C(B) = 34.5 meters
Therefore, the circumference of Circle B is 34.5 meters.
What is diameter of circle?
The diameter of a circle is the distance across the circle passing through its center. It is the longest chord of the circle and is twice the length of the radius.
The formula for the diameter of a circle is:
d = 2r
where d is the diameter and r is the radius of the circle.
Alternatively, we can use the formula for the circumference of a circle to find the diameter:
d = C/π
where C is the circumference of the circle and π (pi) is a mathematical constant approximately equal to 3.14159.
To know more about circumference , visit:
https://brainly.com/question/28757341
#SPJ1
Complete question is: Circle A has a circumference of 23 m. Circle B has a diameter that is 1½ times as long as Circle A's diameter. the circumference of Circle B is 34.5 meters.
A fair, six-sided number cube has the numbers 2, 2, 4, 4, 6, 6 on its faces. Sarah rolls this number cube 10 times and
records the number of times a 2 is rolled.
Have the conditions for a binomial setting been met for this scenario?
O Yes, all four conditions in BINS have been met.
O No, the rolls of a number cube are not independent of one another.
O No, this is not a fair number cube because each outcome shows on more than one face.
O No, without any odd-numbered faces, we cannot determine the probability of rolling a 2.
Base on the question, Yes, all four conditions in Binomial Settings have met.
Binomial setting explained.
A binomial setting is a statistical experiment or scenario that satisfies the following four conditions:
The four conditions in BINS are:
Binary: Each trial has only two possible outcomes, success (rolling a 2) or failure (rolling a number other than 2).Independent: The outcome of one trial does not affect the outcome of any other trial.Number of trials: There is a fixed number of trials, in this case 10 rolls.Success probability: The probability of success is the same for each trial, in this case 1/3 since there are two 2s out of six possible outcomes.All of these conditions are met in this scenario, so it is a binomial setting.
Learn more about binomial setting below.
https://brainly.com/question/7463132
#SPJ1
Need help!!! ASAPPPPPPPPPPPPPPPP
Answer: 8.4
Step-by-step explanation:
Rearrange the equation: 4x = 40 - 8y
Substitute 0.8 into the equation
— 4x = 40 - 8(0.8) = 40 - 6.4 = 33.6
Divide both sides by 4
— x = 8.4
Answer:
8.4
Step-by-step explanation:
8 x .8= 6.4
40 - 6.4 = 33.6
33.6 / 4= 8.4
4 x 8.4= 33.6
8 x .8= 6.4
33.6 + 6.4 = 40
what does the mean absolute deviation tell you about the set?
a
The middle number if the data points are arranged in order
b
The most likely value of a data point
c
The average value of the data points
d
The variation of the data points
The correct answer is d i.e. The variation of the data points.
What is mean absolute deviation?
Mean absolute deviation (MAD) is a measure that describes the average distance between each data point in a set and the mean of that set. It is a way of measuring how spread out the data points are from the average or central value.
The correct answer is d. The mean absolute deviation tells you about the variation of the data points in a set. Specifically, it measures how much the data points deviate, on average, from the mean value of the set.
A higher mean absolute deviation indicates that the data points are more spread out from the mean, while a lower mean absolute deviation indicates that the data points are closer to the mean. The mean absolute deviation is useful for comparing the amount of variation between two or more sets of data, and can provide insight into the consistency or stability of the data.
To learn more about mean absolute deviation visit the link:
https://brainly.com/question/447169
#SPJ1
A shop gave different discounts to different customers. Libby paid $600 for a watch at a discount of 20%. However, Scott paid $630 for the same watch. How many percent discount was given to Scott?
Answer: Let's first find out the original price of the watch, before any discount was applied.
Since Libby paid $600, which is 80% of the original price, we can set up the equation:
0.8P = 600
where P is the original price of the watch.
Solving for P, we get:
P = 600/0.8 = $750
So the original price of the watch was $750.
Now, we can find the discount that was given to Scott. He paid $630, which is a discount from the original price of:
$750 - $630 = $120
So the discount amount was $120.
To find the percentage discount, we can use the formula:
Discount percentage = (discount amount / original price) x 100%
Plugging in the values, we get:
Discount percentage = (120 / 750) x 100% = 16%
Therefore, Scott received a 16% discount on the watch.
Step-by-step explanation:
A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 80 pounds. The truck is transporting 60 large boxes and 70 small boxes. If the truck is carrying a total of 5050 pounds in boxes, how much does each type of box weigh?
The weight of small box and large box is 25pounds and 55 pounds respectively.
What is Simultaneous equation?Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . Example of a Simultaneous equation include;
3x+2 = y equation 1
5x +3 = 2y equation 2
Represent the weight of small box by x and the weight of large box by y
x + y = 80 equation 1
70x + 60y = 5050 equation 2
therefore 70( 80-y) + 60y = 5050
5600 -70y +60y = 5050
-10y = 5050-5600
-10y = -550
y = -550/-10
y = 55 pounds
From equation 1
x +55 = 80
x = 80-55
x = 25 pounds
therefore the weight of small box is 25 pounds and the weight of large box is 55 pounds
learn more about Simultaneous equation from
https://brainly.com/question/148035
#SPJ1
Connor began his newspaper route at 3:25
p.m. Monday afternoon and finished it at 5:56
p.m. He got very hot while he was working
and stopped for eleven minutes to cool off
and have a soda. One of his customers
stopped him for four minutes to talk about the
weather. How long did Connor spend actually
delivering newspapers?
According to the given question, by calculating the total time spent by Connor we can conclude that Connor will deliver newspaper in 2 hours and 16 minutes.
What Is Time?"Time" has no clear beginning, middle, or end. An interruption in time is called an interval. It has a start, an endpoint, and a set amount of time.
To find the amount of time Connor spent actually delivering newspapers, we need to subtract the time he spent cooling off and having a soda and the time he spent talking with a customer from the total time he was on the route.
First, we need to calculate the total time Connor was on the route:
5:56 p.m. - 3:25 p.m. = 2 hours and 31 minutes
Next, we need to subtract the time he spent cooling off and having a soda:
2 hours and 31 minutes - 11 minutes = 2 hours and 20 minutes
Finally, we need to subtract the time he spent talking with a customer:
2 hours and 20 minutes - 4 minutes = 2 hours and 16 minutes
Therefore, Connor spent 2 hours and 16 minutes actually delivering newspapers.
To know more about time visit:
https://brainly.com/question/479532
#SPJ1
somebody help me. how can i do it
Answer: The tank starts with 10 gallons of gas
Step-by-step explanation:
so the first thing that you are going to do is divide and multiply what might you be dividing great question, you will divide 10 in to 9 then multiplying 160 into 15.
If you want to know how i got this answer please ask me in the commets below.
A regular hexagon has an apothem measuring 14 cm and an approximate perimeter of 96 cm.
A regular hexagon has an apothem with length 14 centimeters and a perimeter of 96 centimeters.
What is the approximate area of the hexagon?
224 cm2
336 cm2
448 cm2
672 cm
The area of the hexagon is 1344 square centimeters for the given perimeter and apothem.
What is an apothem?The distance between a polygon's midpoint and any one of its sides is the polygon's apothem. The radius of the polygon's inscribed circle is equal to the perpendicular distance that runs from the centre to the side of the polygon. The formula for computing the area of regular polygons uses the apothem, which is a crucial component for determining their area.
The area of hexagon is given by the formula:
Area = (Perimeter x Apothem) / 2
Substituting the given values we have:
Area = (96 cm x 14 cm) / 2
Area = 1344 sq. cm
Hence, the area of the hexagon is 1344 square centimeters.
Learn more about apothem here:
https://brainly.com/question/29074297
#SPJ1
If ABCD is dilated by a factor of 3, the
coordinate of B' would be:
-5 -4
MA
А
B
3
26
1
-2 -10
-1
-2.
-3
C
2 3 4 5
D
B' = ([?], [])
Enter
If ABCD is dilated by a scale factor of 3, the coordinate of B' would be (-6, 6).
What is dilation?In Geometry, dilation simply refers to a type of transformation which typically changes the size of a geometric object, but not its shape.
This ultimately implies that, the size of the geometric shape would be increased (stretched or enlarged) or decreased (compressed or reduced) based on the scale factor applied.
Next, we would apply a dilation to the coordinates of the pre-image by using a scale factor of 3 centered at the origin as follows:
Ordered pair B (-2, 2) → Ordered pair B' (-2 × 3, 2 × 3) = Ordered pair B' (-6, 6).
Read more on scale factor here: brainly.com/question/20482938
#SPJ1
Crook Island is 25 km due east of the Isle of Strutay.
Grass Rock is 21 km due south of Crook Island.
Emerald Cay is 19 km due east of Grass Rock.
What bearing should a ship sailing in a straight line from the Isle of Strutay to
Emerald Cay travel on?
Give your answer in degrees to 1 d.p
The bearing that the ship should take when sailing in a straight line from the Isle of Strutay to Emerald Cay is 25.38 degrees.
How to find the bearing ?To find the bearing from the Isle of Strutay to Emerald Cay, we can first find the total eastward distance and the total southward distance, and then use the arctangent function to find the angle.
Total eastward distance:
From Isle of Strutay to Crook Island: 25 km
From Grass Rock to Emerald Cay: 19 km
Total eastward distance = 25 km + 19 km = 44 km
Total southward distance:
From Crook Island to Grass Rock: 21 km
Now we can use the arctangent function to find the angle :
tan(θ) = (total southward distance) / (total eastward distance)
tan(θ) = 21 km / 44 km
θ = arctan (21/44) = 25.38°
Find out more on bearing at https://brainly.com/question/14796795
#SPJ1
Please determine the follow arc measures
the answer of the subsets of the questions are Angle BTC is 198 degree
Arc bd is 90 degree,
How to find the Arc of the circle?
Since points T, C, B, D are on the boundary of a circle and meet at point P, we can conclude that P is the center of the circle.
Let's label the angles at the center of the circle. Since the angle between TCP is 128 degrees, we know that the angle TPC at the center of the circle is twice that, or 256 degrees. Similarly, since the angle between TPB is 90 degrees, we know that the angle TPB at the center of the circle is 180 degrees.
Let's also label the points where the arcs intersect the circle. The arc BD intersects the circle at points B, D, and P. The arc BC intersects the circle at points B, C, and P. The arc BTC intersects the circle at points B, T, C, and P. The arc TDC intersects the circle at points T, D, C, and P.
To find the arc BD, we need to find the central angle that corresponds to that arc. We can do this by adding the angles at the center of the circle that correspond to the arcs that intersect BD. In this case, those angles are TPB and TPC. So the central angle corresponding to arc BD is:
central angle for arc BD = angle TPB + angle TPC
central angle for arc BD = 180 degrees + 256 degrees
central angle for arc BD = 436 degrees
Therefore, the arc BD is a 436-degree arc.
To find the arc BC, we can follow the same process. The angles at the center of the circle that correspond to the arcs that intersect BC are TPB and TPC. So the central angle corresponding to arc BC is:
central angle for arc BC = angle TPB + angle TPC
central angle for arc BC = 180 degrees + 256 degrees
central angle for arc BC = 436 degrees
Therefore, the arc BC is also a 436-degree arc.
To find the arc BTC, we can again follow the same process. The angles at the center of the circle that correspond to the arcs that intersect BTC are TPB and TPC and the angle at the center of the circle that corresponds to arc BC. So the central angle corresponding to arc BTC is:
central angle for arc BTC = angle TPB + angle TPC + angle BPC
central angle for arc BTC = 180 degrees + 256 degrees + (360 degrees - angle BC)/2
central angle for arc BTC = 436 degrees + (360 degrees - angle BC)/2
To find angle BC, we can use the fact that the angles in a triangle sum to 180 degrees. So:
angle B + angle C + angle TCP = 180 degrees
Since TCP is 256 degrees, we can solve for angle BC:
angle B + angle C = 180 degrees - 256 degrees
angle B + angle C = -76 degrees
Since angles in a circle cannot be negative, we made an error somewhere. In fact, it is not possible for the given angles to correspond to a circle with center P. If we assume that the given angles are correct, we can conclude that there is no circle that contains all four points T, C, B, and D.
To know more about circle visit :-
https://brainly.com/question/24375372
#SPJ1
Drag a figure into each blank space so that the two figures in the row match the description.
I NEED THIS PLS
Answer: 1234
Step-by-step explanation: number 4 put on the second row and also number 2 the other ones is going to be similar and the last one is the first row
find the area of the shaded portion 6cm and 3cm. π = 3.14
The Area of the shaded portion will be 54.5 [tex]cm^{2}[/tex]
In the figure which is provided let's name the triangle ∠ABC, therefore AB= the diameter of the circle
And, AC=6 cm and BC=8 cm
To calculate the area of the shaded portion we know that ∠ACB= 90°
And then applying Pythagoras' Theorem, we get -
AB=[tex]\sqrt{(AC)^{2}+ \sqrt{(BC}) ^{2} }[/tex] = [tex]\sqrt{(6)^{2} }+ \sqrt{(8)^{2} }[/tex] = 10 cm
Diameter AB= 10cm
The radius of the circle = [tex]d\\ 2[/tex] = 5 cm
Area of Circle= π[tex]r^{2}[/tex] = 3.14× [tex]5^{2}[/tex] = 78.5 [tex]cm^{2}[/tex]
Area of triangle ABCD =[tex]\frac{1}{2}[/tex]× AB× BC
=[tex]\frac{1}{2}[/tex]× 6×8 = 24 [tex]cm^{2}[/tex]
Now,
The Area of the shaded region = Area of the circle - Area of the triangle
= (78.5 - 24) [tex]cm^{2}[/tex]
= 54.5 [tex]cm^{2}[/tex]
The Right question is: AB is the diameter of the circle, AC =6 cm and BC =8 cm. Find the area of the shaded region (Use π=3.14).
To know more about the Radius and Diameter of a circle:
https://brainly.com/question/28162977
ecide whether each point is a solution to the
stem.
3x+4 and y <3x-2
,-2)
5,0)
3, 13)
DONE
O
y=3x+4
T
-2
-2
Y
2
y=3x-2
Therefore, the only solution to the system of inequalities is (0,0).
What is equation?An equation is a mathematical statement that shows that two expressions are equal. It typically consists of variables, constants, and mathematical operations. Equations can be solved by manipulating the expressions to find the value of the variables that satisfy the equation. Equations can be used to model real-world situations, and they are an important tool in many fields, including mathematics, physics, engineering, and economics.
Here,
Let's check each point if it satisfies the given system of inequalities:
1. (-2,5)
3x + 4 = -7, which is true since -3(-2) + 4 = 10
y < 3x - 2, which is true since 5 < 3(-2) - 2
Therefore, (-2,5) is NOT a solution to the system of inequalities.
2. (0,0)
3x + 4 = 4, which is true since -3(0) + 4 = 4
y < 3x - 2, which is true since 0 < 3(0) - 2
Therefore, (0,0) is a solution to the system of inequalities.
3. (3,13)
3x + 4 = -5, which is false since -3(3) + 4 = -5
y < 3x - 2, which is false since 13 < 3(3) - 2
Therefore, (3,13) is NOT a solution to the system of inequalities.
To know more about equation,
https://brainly.com/question/28243079
#SPJ1
Delivery of 5 large boxes, 3 small boxes; total weight 135 kilograms. And 7 large boxes, 9 smaller boxes total weight,279 kilograms. How much does each box weigh?
The weight of each of the boxes are:
Large box = 15.75 kg
Small box = 18.75 kg
How to solve simultaneous Equations?Let the weight of each large box be x
Let the weight of each small box be y.
Thus, if 5 large boxes and 3 small boxes have a total weight of 135 kilograms, then we have the equation:
5x + 3y = 135 -------(1)
Thus, if 7 large boxes and 9 small boxes have a total weight of 279 kilograms, then we have the equation:
7x + 9y = 279 ------(2)
Multiply eq 1 by 3 and eq 2 by 1 to get:
15x + 9y = 405 -----(3)
Subtract eq 2 from eq 3 to get:
8x = 126
x = 126/8
x = 15.75 kg
Thus:
5(15.75) + 3y = 135
3y = 135 - 78.75
3y = 56.25
y = 18.75 kg
Read more about Simultaneous Equations at: https://brainly.com/question/13729904
#SPJ1
Calculator
What is the volume of this figure?
Enter your answer in the box.
ft³
Answer:
76
Step-by-step explanation:
its 76 :) <333
15)Writing fractions as decimals
3/5
=
Answer: 0.6
Step-by-step explanation: to convert 3/5 to a decimal, divide the numerator over the denominator. 3 divided by 5 = 0.60
Answer: 0.60
Step-by-step explanation: multiply 3x 20 adn 5 x 20 which will give you 60/100 now just place the decimal 2 places left of the 60 which will give you .60 or .6
6. Tim has used 11 squares tiles to cover a surface. What is the height of this surface if its base is 12 cm.
12 cm
b) 13 cm
c) 10 cm
d) 14 cm
e) 11 cm
Height of this surface if its base is 12 cm 42 tiles are required.=14400
What is unitary method?"A method to find a single unit value from a multiple unit value and to find a multiple unit value from a single unit value."
We always count the unit or amount value first and then calculate the more or less amount value.
For this reason, this procedure is called a unified procedure.
Many set values are found by multiplying the set value by the number of sets.
A set value is obtained by dividing many set values by the number of sets.
According to our question-
Area of region = 100 cm x 144 cm = 14400 cm.sq
learn more about unitary method click here:
brainly.com/question/24587372
#SPJ1
COMPLETE QUESTION-
Tim has used 11 squares tiles to cover a surface. What is the height of this surface if its base is 12 cm?