Answer:
4√3/3
Step-by-step explanation:
This is a 30,60,90 triangle. Therefore, small side (X) is equal to 4/√3 or X√3. In this case, it is 4/√3. This is equal to 4/√3 times √3/√3. This means the answer will be 4√3/3. Therefore, X=4√3/3
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rectangular cards 2 inches by 3 Inches are cut from a rectangular sheet 2 ft by 3 ft what is the greatest number of cards that can be cut from the sheer?
Answer:
144
Step-by-step explanation:
3ft = 36 inches card 2x3 = square 6 inches
2ft = 24 inches
36X24 = 864 square inches
864/6= 144
The greatest number of cards that can be cut from the sheer if rectangular cards 2 inches by 3 Inches are cut from a rectangular sheet 2 ft by 3 ft is 144.
What is Rectangle?An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel, opposite sides. Since a rectangle is a two-dimensional form, it has two dimensions: length and width. The rectangle's longer side is its length, while its shorter side is its breadth.
Given:
The dimension of rectangular card = 2 inches × 3 inches,
The dimension of rectangular sheet = 2 ft × 3 ft,
We know that 1 foot = 12 inches,
The dimension of a rectangular sheet = 24 inches × 36 inches
Area of sheet = 24 × 36 = 864 inches²,
Area of card = 2 × 3 = 6 inches²,
The no of card = Area of sheet / Area of card
The no of card = 864 / 6 = 144
Therefore, the greatest number of cards that can be cut from the sheer if rectangular cards 2 inches by 3 Inches are cut from a rectangular sheet 2 ft by 3 ft is 144.
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The dimensions of a triangular prism are shown in the diagram.
5 cm
16 cm
4 cm
6 cm
What is the volume of the triangular prism in cubic centimeters?
The answer is 158.75 cubic centimeters! :))
what is the area shaded in the region?
Answer:
Option C
The Area Of Shaded Region is 50.2 cm²
Step-by-step explanation:
For A given Circle,
For Small (Non-Shaded) Circle:
Diameter (d) = 6 cm
Radius = d ÷ 2 = 6/2 = 3 cm
For Area of Small (Non-Shaded) Circle
Formula:A = πr²
A = 3.14 × (3)² cm
A = 3.14 × 9 cm
A = 28.26 cm²
For Area of Big (Shaded) Circle:
Diameter (d) = 10 cm
Radius = d ÷ 2 = 10/2 = 5 cm
For Area of Small (Non-Shaded) Circle
Formula:A = πr²
A = 3.14 × (5)² cm
A = 3.14 × 25 cm
A = 78.5 cm²
For The Area Of Shaded Region
Area of Big Circle - Area of Small Circle
78.5 cm² - 28.26 cm² = 50.24 cm²
Thus, The Area Of Shaded Region is
50.2 cm²
-TheUnknownScientist
Answer:
3rd option
50cm2
Step-by-step explanation:
50cm2
explanation is given above
A walkway forms one diagonal of a square playground. The walkway is 32 m long. How long is each side?
Answer:30.45751052, or 30.5
Step-by-step explanation:
since you know that the playground is a square, a diagonal would cut the square into 2 45-45-90 triangles, now that you know that information, there is a really easy way to solve the problem, the way i did it was i used the law of sines, which states that side a/sin(angle A)=side b/sin(angle B). so 32/sin(90)=30.7943... substitute that into the equation and you get 30.7943... =side b/sin(angle B). since you know that angle B =45 degrees take the sin of that and multiply it by 30.7943 to get the answer.
Only answer if you’re sure :) need the whole answer! Will give Brainly
Answer:
Step-by-step explanation:
y = -1x + 1
y = -x + 1
I'm sure :P
Answer:
y=-1x+1
Step-by-step explanation:
the slope is 1/1 and line is declining hence the negative
PLEASE ANSWER FAST WILL GIVE BRANLIEST DONT RESPOND WITH LINKS
In the diagram above, if m∠8=48º, find each angle measure
M∠1 =
m∠2 =
m∠3 =
m∠4=
m∠5=
m∠6=
m∠7=
Answer:
<6, <5, <7 all equal 48 degrees.
<1, <2, <3, <4 all equal 132 degrees.
Step-by-step explanation:
Straight angles (like <5 & <2) are supplementary, so they equal 180 when added together
Vertical angles (like <2 & <1) have the same measurments
Corresponding angles (like <8 & <6) have the same measurements
Alternate interior angles (like <8 & <5) have the same measurments
Alternate exterior angles (like <6 & <7) have the same measurements
Same-side interior angles (like <8 & <2) are supplementary, so they add to 180.
There's more, and there's other ways to do this, this is just an example. Good luck! <3
Two Trends pay the restaurant bill in the ratio of 16:4. If more paying friend pays
Rs 140 find the total amount paid by them.
Answer:
Cici O i itcivouvitci cc tfurx
Step-by-step explanation:
vhihciycyivovitcu
5000e^72
and
5000e^0.72
A netball court measures 31 metres long and 15 metres wide.
What is the perimeter of a netball court?
The perimeter of the netball court is equal to 92 meters.
What does perimeter mean?
The whole distance encircling a shape is referred to as its perimeter. It is the length of any two-dimensional geometric shape's boundary or outline.
A netball court is a rectangle,
it is given that length of the net ball court is equal to 31 meters.
The width of the netball court is equal to 15 meters.
Therefore the perimeter of the netball court is equal to the length of all sides of the rectangle.
Perimeter of netball court = 2(31+15)=92 meters.
Therefore perimeter of the netball court is equal to 92 meters.
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What is ?
PLEASE HELP ASAP!
Answer:
116
Step-by-step explanation:
Here is a list of numbers:
14, 4, 4, 16, 14, 3, 13 ,11 ,1 ,8
State the median.
Answer:
the Median is 9.5
I need help . Only respond if you got the real answer
Answer:
It's not similar
Step-by-step explanation:
the triangle on the left is "85*" and the triangle on the right is "65*"
this is what I know based on my knowledge
pls help with this question find the slope from 1-6
Answer:
Step-by-step explanation:
1. ( -2, 2), (-1, 5)
(5 - 2)/(-1 + 2)= 3/1= 3
2. (-4, 2), (2, 0)
(0 - 2)/(2 + 4) = -2/6 = -1/3
3. (0, 3), (5, 1)
(1 - 3)/(5 - 0)= -2/5
4. (0, 0), (1, 1)
(1 - 0)/(1 - 0)= 1/1= 1
5. (3, 0), (3, 1)
(1 - 0)/(3 - 3) = 1/0 = undefined
6. (0, -1) (1, -1)
(-1 + 1)/(1 - 0)= 0/1 = 0
A variable needs to be eliminated to solve the system of equations below. Choose the
correct first step.
10x – 2y = -36
7x – 2y = -30
-Add to eliminate y.
-Subtract to eliminate x.
-Subtract to eliminate y.
-Add to eliminate x.
Answer:
x=-2
y= 8
Step-by-step explanation:
Given data
10x – 2y = -36-----------1
7x – 2y = -30--------------2
-Subtract to eliminate y
3x-0= -6
3x= -6
x= -6/3
x= -2
Put x= -2 in
7(-2)– 2y = -30
-14-2y=-30
-14+30=2y
16=2y
y= 16/2
y= 8
In a standard 52 card deck what is the probability of randomly drawing an ace or club?
Please help me!, also pls explain your answer thx :)
Answer:
H
Step-by-step explanation:
A table showing y as a function of x is a table that has exactly one y-value that is assigned to every x-value in the table.
Thus, all tables except table H do not meet this criteria.
In table H, every x-value has exactly one y-value. No x-value is having different y-values assigned to it.
Therefore, the answer is H.
What is an equation of the line that passes through the points (-6, -2) and (-3, -3)?
Answer:
[tex]y = - \frac{1}{3} x - 4[/tex]
Step-by-step explanation:
The equation of a kind can be written in the slope intercept form, y= mx +c, where m is the gradient and c is the y-intercept.
[tex]\boxed{gradient = \frac{y1 - y2}{x1- x2} }[/tex]
[tex]m = \frac{ - 2 - ( - 3)}{ - 6 - ( - 3)} [/tex]
[tex]m = \frac{ - 2 + 3}{ - 6 + 3}[/tex]
[tex]m = \frac{ 1}{ - 3} [/tex]
Substitute the value of m into the equation:
[tex]y = - \frac{1}{3} x + c[/tex]
To find the value of c, substitute a pair of coordinates.
When x= -3, y= -3,
[tex] - 3 = - \frac{1}{3} ( - 3) + c[/tex]
[tex] - 3 = 1 + c[/tex]
c= -3 -1
c= -4
∴ The equation of the line is [tex]y = - \frac{1}{3} x -4[/tex].
The opposite of the opposite of -2 is equal to
The opposite of the opposite of -2 is equal to: -2
This can be solved by using the concept of inverse.
What is inverse?This quantity is also referred to as the opposite (number), sign modification, and negation. It changes the sign of a real number so that the additive inverse of a positive number is negative and the additive inverse of a negative number is positive. Due to their ability to reverse mathematical processes, inverse techniques are crucial for solving equations. One of the most crucial issues to ask whenever a new mathematical method is presented is how to invert it.
The term inverse in mathematics refers to the inverse of another operation.
In this case firstly opposite of - 2 is 2 and next opposite of 2 is again -2.
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Original price: $22 Discount percent: 25%
Answer: 16.5
Step-by-step explanation:
Original price is 22 remove 25% by multiplying 22 by 0.75
If trying to find the original price when the discount is 25% and the discounted price is 22 take 22 and divide it by 3 and then multiply it by 4
Find the product of 3y^3(6y^2-9y+6)
Answer: Simplified expression- [tex]18y^{5} - 27y^{4} + 18y^{3}[/tex]
Step-by-step explanation: You get the product by simplifying it.
I tried my best, I hope this it what you were looking for:)
Decide whether triangles ABC and DEC are similar. Explain or show your reasoning.
Triangles ABC and DEC are similar.
What is triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
Here, we have,
Given the triangles ABC and DEC
For the triangle ABC:
m∠A = 36, m∠B = 21
So, the m∠C = 180 - (m∠A + m∠B ) = 180 - (36 + 21) = 123
Similarly, the angles of DEC are,
m∠D=36 , m∠C=123 & we get, m∠E =21
So, comparing the measurements of the angles of both triangles:
m∠A=m∠D.
m∠C=m∠C
m∠B=m∠E
So, the triangles are similar using the AAA postulate.
Hence, triangles ABC and DEC are similar.
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The crew on a fishing boat caught four fish that weighed a total of 1,032 pounds. The tarpon weighed twice as much as the amberjack and the white marlin weighed twice as much as the tarpon. The weight of the tuna was 5 times the weight of the amberjack.
Using equations, the weights of the four fish are as follows:
Amberjack = 86 poundsTarpon = 172 poundsWhite Marlin = 344 poundsTuna = 430 pounds.What are equations?Equations are mathematical statements showing the equality of two mathematical expressions.
Using the equation sign (=), equations depict that expressions are equal or equivalent.
The total weight of the four fish = 1,032
Let the weight of the Amberjack = x
Weight of the Tarpon = 2x
Weight of the White Marlin = 4x (2 x 2x)
Weight of the Tuna = 5x
x + 2x + 4x + 5x = 1,032
12x = 1,032
x = 86
Weights:Amberjack = 86 pounds (x)
Tarpon = 172 pounds (2x)
White Marlin = 344 pounds (4x)
Tuna = 430 pounds (5x)
Total weight = 1,032 pounds (86 + 172 + 344 + 430)
Thus, we solved the weight of each fish using equations.
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Question Completion:How much did each fish weigh?
Population Growth
Using the graph, find the value of y when x = 7.
a. y = 7 c. y = 2.71
b. y = 6.1 d. y = 4.42
Please select the best answer from choices provided
Answer:
D. y = 4.42
Step-by-step explanation:
I calculated it logically
Mr. Brown recorded the final exam scores for his fifth period math class in the histogram below.
Which of the following would be the best measure of center?
A.
mean
B.
median
C.
interquartile range
D.
mean absolute deviation
no links PLEASE HELP DUE IN 10 MINUTES you can use a calculator if you want. No links please help this is very important i will give you brain thing if its correct
Answer:
0.334
Step-by-step explanation:
Basically to show reasoning: 16*215= 3340
4 decimal places, so you would move it four decimal places from 3340.
Which equals to: 0.334
Hope this helped! :)
A company tests a new battery for an electric car. The distance the car travels, d km, and the charge left in the battery, C%, are measured. Some measurements are shown in the table. Find the C-axis intercept of the line. Pls help I would really appreciate it!
Based on the measurements shown in the table, the C-axis intercept of the line is equal to 100.
What is y-intercept?In Mathematics, the y-intercept of any graph such as a linear function, exponential function, polynomial function, quadratic function, etc., generally occur at the point where the value of "x" is equal to zero (x = 0).
What is the x-intercept?In Mathematics, the x-intercept can be defined as the point at which the graph of a linear function, exponential function, polynomial function, quadratic function, etc., crosses the x-coordinate and the value of "y" is equal to zero (y = 0).
In this scenario, the C-axis intercept of the line simply refers to x-intercept. Therefore, we can reasonably infer and logically deduce that the C-axis intercept of the line (x-intercept) is equal to 100 while the d-axis intercept of the line (y-intercept) is equal to 200.
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Please help, no links
A circle of radius 8 cm is cut into 6 parts
of equal size, as shown in the diagram.
Calculate the area of each part, giving
your answer correct to 2 decimal places.
Answer: To calculate the area of each part of the circle, we need to first find the total area of the circle and then divide it by the number of parts.
The formula for the area of a circle is A = πr², where A is the area, r is the radius, and π is approximately equal to 3.14.
In this case, the radius of the circle is 8 cm, so the area of the circle is A = π * 8² = 3.14 * 64 = 200.96 cm².
Since the circle is divided into 6 parts of equal size, the area of each part is equal to the total area of the circle divided by the number of parts. Therefore, the area of each part is 200.96 cm² / 6 = 33.49 cm².
Rounded to 2 decimal places, the area of each part is 33.49 cm² ≈ 33.50 cm².
Step-by-step explanation:
10 POINTS!
What is the constant of proportionality in this proportional relationship?
x 2 4 6 8
y 5/6 1 2/3 2 1/2 3 1/3
A. 12
B. 5
C. 12/5
D. 5/12
Answer:
d
Step-by-step explanation:
The constant of proportionality in a proportional relationship is the number that relates the two variables, x and y, in the equation y = kx.We can see that the relationship between x and y is in the form of y = kx. We can find the constant of proportionality (k) by dividing the y-value by the corresponding x-value.For example:
x = 2; y = 5/6
k = y/x = (5/6) / 2 = 5/12The constant of proportionality is 5/12 for the given proportional relationship,
y = kx where k = 5/12Note that it is important to understand that the relationship is a proportion because in this case, the k(constant) is the same for every point, if we calculate each (y/x) point it will be 5/12
Which expression is equal to:
³ × ³ × ³ × ³ × ³ × ³ × ² × ³ ×
3
X
4
3
4
3 x 3 x 3 x 3 x 3 x 3 x 2 x 3 x 3 x 434 = 5,694,948