Answer: It is 144 but add pi symbol
Step-by-step explanation:
In conclusion the exact volume of the cone is 144π cubic inches.
How to solve and what does volume mean?
The radius of the circular base is half the diameter, which is 12/2 = 6 inches.
The volume of a cone can be found using the formula V = (1/3)πr²2h, where r is the radius and h is the height.
Substituting the given values, we get:
V = (1/3)π(6²2)(12)
V = (1/3)π(36)(12)
V = (1/3)(432π)
V = 144π
Therefore, the exact volume of the cone is 144π cubic inches.
Volume is a measure of the amount of space occupied by a three-dimensional object, such as a solid, liquid, or gas. It is typically measured in cubic units, such as cubic meters (m³) or cubic centimeters (cm³). The volume of an object can be determined by measuring its dimensions, such as length, width, and height, and applying the appropriate formula for the shape of the object.
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Calculator
What is the volume of this figure?
Enter your answer in the box.
ft³
Answer:
76
Step-by-step explanation:
its 76 :) <333
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.
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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
Written as a simplified polynomial in standard form, what is the result when
(x - 7)? is subtracted from 6x?
Answer: 45r6
Step-by-step explanation:
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:
can someone help please
Choose ALL answers that describe the polygon
jk=KL=LM=MJ, m∠J = 90 degrees, m∠K = 90 degrees, m∠L = 90 degrees, and m∠M = 90 degrees
The polygon is a quadrilateral, rectangle, parallelogram, square and rhombus.
Define polygonA polygon is a closed two-dimensional geometric figure made up of straight line segments connected end-to-end. The segments, or sides, intersect at their endpoints, or vertices.
reason The polygon is a quadrilateral, as it has four sides.The polygon is a rectangle since all four angles are right angles.The polygon is a parallelogram since opposite sides are parallel (implied by the fact that JK=KL=LM=MJ).The polygon is a square, since it is specified that all four sides are equal.It is a rhombus. A rhombus is a parallelogram in which all four sides are congruent. The given polygon has sides of equal length (JK=KL=LM=MJ), and diagonal bisects each other with opposite angles equal.it is not a trapezoid as other two legs of polygon are parallel.To know more about line, visit:
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Determine the domain of the function F(x) =2-x/12x^2+8x
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.
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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.
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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°
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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.
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A pump moves 42 gallons in seven minutes find the unit rate
[tex]boommamama[/tex]
0.1 gallons per second is the unit rate in the given situation.
What is the unit rate?An item's unit rate is its price for one of them.
This is expressed as a ratio with a one as the denominator.
For instance, if you covered 70 yards in 10 seconds, you covered 7 yards on average every second.
Seven yards in one second and 70 yards in ten seconds are both ratios, but only one of them is a unit rate.
The denominator of a unit rate is always 1.
Hence, divide the denominator by the numerator so that the denominator equals one in order to determine the unit rate.
The unit rate is 50km/5.5 hours = 9.09 km/hour, for instance, if 50km are traveled in 5.5 hours.
So, in the given situation the unit rate would be:
0.1 gallons per second
Therefore, 0.1 gallons per second is the unit rate in the given situation.
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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
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.
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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
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Prepare Journal Voucher of District Administration Office, Jhapa for its Budget Expenditure. (i) On 7th Shrawan office furniture purchased for Rs. 40,000 from Sharma furniture 1 store and payment made by issuing a payment order. (ii) Rs. 25,000 paid for house rent on 5th of Bhadra. (iii) Rs. 1,00,000/- paid for purchase of computers from Computer Land on 15th of Bhadra. (iv) Rs. 15,000 was paid for TADA to section officer on 25th of Bhadra. (v) Telephone charge Rs. 5,000 and electricity charge Rs. 6000 paid on 30th of Bhadra
Below is the Journal Voucher of District Administration Office, Jhapa for its Budget Expenditure.
What is budget expenditure?
Budget expenditure refers to the total amount of money spent by an organization, government, or individual during a specific period of time, as specified in their budget. A budget is a financial plan that outlines the expected income and expenses for a certain period of time, usually a year.
In this journal voucher, we have recorded the various expenses incurred by the District Administration Office, Jhapa during the month of Bhadra.
The first entry records the purchase of office furniture from Sharma Furniture Store for Rs. 40,000, paid by issuing a payment order.
The second entry records the payment of house rent for Rs. 25,000 on the 5th of Bhadra.
The third entry records the payment of Rs. 1,00,000 for the purchase of computers from Computer Land on the 15th of Bhadra.
The fourth entry records the payment of TADA to a section officer for Rs. 15,000 on the 25th of Bhadra.
The fifth entry records the payment of telephone charges of Rs. 5,000 and electricity charges of Rs. 6,000 on the 30th of Bhadra. The bank account is credited for each transaction, indicating that the expenses have been paid through the bank.
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solve for x in y=a(b-x)
Answer:
[tex]x = \frac{ab - y}{a} [/tex]
Step-by-step explanation:
[tex]y = a(b - x)[/tex]
[tex](b - x) = \frac{y}{a} [/tex]
[tex] - x = \frac{y}{a} - b[/tex]
[tex]x = b - \frac{y}{a} [/tex]
Make a the common denominator:
[tex]x = \frac{ab - y}{a} [/tex]
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.
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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).
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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).
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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
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.
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.
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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.
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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.
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
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.
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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.
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Someone do this for me
∆ACE is similar to ∆BDE because angle A is equal to angle B and angle is common.
What are similar triangles?Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.
Therefore for ∆ACE to be similar to ∆BDE, their corresponding angles must be equal.
To show that the angles are equal,
<AEC = <DEB( vertically opposite angles )
<A = <B ( alternate angles)
therefore the value of angle C will be equal to the angle of D.
We can therefore say that ACE is similar to ∆BDE.
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Each of these relationships reflects a correlation. Which relationship most likely reflects both correlation and causation?
The correct relationship most likely reflects both correlation and causation is Eating burgers more often is associated with eating french fries more often.
What is correlation?
Correlation refers to the statistical relationship between two variables. In other words, it measures how closely two variables are related to each other. A correlation can be positive, negative, or zero, depending on the direction and strength of the relationship between the variables.
However, correlation does not imply causation, which means that even if two variables are strongly correlated, it does not necessarily mean that one causes the other. There may be other underlying factors or variables that are responsible for the observed correlation.
The relationship that most likely reflects both correlation and causation is:
Eating burgers more often is associated with eating french fries more often.
This is because burgers and french fries are often served together at fast food restaurants, and the consumption of one is likely to lead to the consumption of the other.
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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.
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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: