A drawing of a basketball backboard was made using semicircle and rectangle
What is the area of the drawing of the backboard
A: 126 in
B: 253.17in
C:380.34in
D:122.5 in

Answer:

I'm sorry I don't know how to put in words of how to solve but the answer would be

ZY = 3 ft

XY= 7.42 ft

x + 83° = 180°

x = 180° - 83°

x = 97°

Answer:

The length of the arc is approximately 2.0944

Step-by-step explanation:

The given parameters are;

The equation of the circle = x² + y² = 1

The radius of the circle, r = 1

The equation of the line, y = 1/2

Therefore, we point where the line intersects with the circle are given as the points 'y = 1/2' as follows;

When y = 1/2, the equation of the circle becomes;

x² + (1/2)² = 1

x² = 1 - (1/2)² = 3/4

x = ±√3/2

The angle subtended by the arc, θ = 2 × arctan((√3/2)/(1/2)) = 120°

The circumference of the circle, C = 2·π·r

∴ C = 2 × π × 1 = 2·π

The length of the arc, l = (θ/360) × C

∴ l = (120/360) × 2·π = (2/3)·π

The length of the arc, l = (2/3)·π ≈ 2.0944

The length of the arc is approximately 2.09

From the question, we have the following parameters

The equation of the circle = x² + y² = 1

The radius of the circle, r = 1

The equation of the line, y = 1/2

The line intersects with the circle are given as the points 'y = 1/2' as follows;

When y = 1/2, the equation of the circle becomes;

x² + (1/2)² = 1

x² = 1 - (1/2)² = 3/4

x = ±√3/2

Determine the subtended angle

The angle subtended by the arc is expressed as:

θ = 2 × arctan((√3/2)/(1/2))

θ = 120°

The circumference of the circle, C = 2·π·r

C = 2 × π × 1 = 2·π

The length of the arc, l = (θ/360) × C

l = (120/360) × 2·π = (2/3)·π

The length of the arc, l = (2/3)·π ≈ 2.09

The length of the arc is approximately 2.09

Learn more on length of an arc here:https://brainly.com/question/2005046

Answer:48-8=40 the temperature range is 8. , I think.

Step-by-step explanation:To find the interquartile range subtract the bigger number to the smallest number,which is Q3-Q1.So basically inequality range is another way to say range.

Hope it helps!!!

The interquartile range (IQR) of the data set is 24 degrees Celsius.

The interquartile range (IQR) is a measure of variability or spread in a dataset. It is the difference between the third quartile (Q'') and the first quartile (Q) of the dataset.

To calculate the interquartile range (IQR) of this data set, we first need to find the first quartile (Q) and the third quartile (Q'').

Arrange the data in order from smallest to largest:

08, 09, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48

Find the median (Q') of the entire data set:

Median (Q') = (24 + 28)/2 = 26

Find Q by taking the median of the lower half of the data:

Lower half: 08, 09, 12, 16, 20, 24

Q = (12 + 16)/2 = 14

Find Q'' by taking the median of the upper half of the data:

Upper half: 28, 32, 36, 40, 44, 48

Q'' = (36 + 40)/2 = 38

Calculate the IQR by subtracting Q from Q'':

IQR = Q'' - Q = 38 - 14 = 24

Therefore, the interquartile range (IQR) of this data set is 24 degrees Celsius.

Learn more about IQR here:

https://brainly.com/question/31207390

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Answer:

G

Step-by-step explanation:

Dude really

Answer:

A. G is the correct answer

Step-by-step explanation:

the quadrants are shown in the picture

and G. is the only one that fits the description

hope this helps <3

Answer:

Step-by-step explanation:I had this in an exam and got the same as you but my teacher explained to change 4 squared 5 to 5 squared 4 i am not 100% sure as to why you have to do this but apparently that was the answer hope this helps

Answer:

yes he have a great answear

Answer:

b

Step-by-step explanation:

answer: 8

Explanation:

Use the formula for the area of a circle:

A = π r 2

Here, the area is  16 π

16 π = π r 2  

Divide both sides by  

16 = r 2

Take the square root of both sides:

√ 16 = √ r 2

4 = r

Since the radius of the circle is  

4

, the diameter is twice that:

d = 4 × 2 = 8

Answer:

57 dollars

Step-by-step explanation:

95-40%

95 - 38 = 57 dollars.

Answer:

The 3rd one

Step-by-step explanation:

The 3rd one because a tessellation is (By definition) "an arrangement of shapes closely fitted together, especially of polygons in a repeated pattern without gaps or overlapping." In this case 3rd because they fit with no gaps and no overlapping.

Answer:

the third one sorry couldn't answer here sooner!

Step-by-step explanation:

-Ash

Answer:

i think its - 2/1/2 hope its correct

Answer:

15.D

16.A

Step-by-step explanation:

Hello There!

For 15

We can find the slope given two points by using the slope formula

[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

so given the two points (2,-3) and (-2,5)

we plug in the y values and x values into the formula

[tex]slope=\frac{5-(-3)}{-2-2} \\5-(-3)=8\\-2-2=-4\\slope=\frac{8}{-4}[/tex]

Finally we want to simplify

8/-4=-2

so we can conclude that the slope of a line that passes through the points (2,-3) and (-2,5) is -2 (D)

For 16

The y intercept is at (0,0) meaning that at 0 hours there was no water in the pool

So we can conclude that the pool was originally empty

Answer:

what's the question?

Step-by-step explanation:

what the question

Answer:

The angle is 136 degrees because the 44 degree angle adds up to 180 since it is suplementary. so that means when u minus or take away 44 degrees from 180 it gives u 136.

Step-by-step explanation:

Hope this helps!

Answer: 12

Step-by-step explanation: you need to look at the paper

Answer:

Option A. 47°

Step-by-step explanation:

In the given triangle as per sine rule

sin F/DE = sin D/54

sin 71/70 = sin D/54

sin D = (54×sin 71)/70 = 54×0.9455/70 = 51.06/70 = 0.729

Therefore Option A. angle D = 47° is the answer.

Answer:

1739.42393 cubic foot

Step-by-step explanation:

volume of cone= 1/3× πr²h

r= d/2= 9.35ft

putting the value in the formula and calculating

l

Answer:

We know that for every (3/4) cups of sugar, she uses (1/2) cups of flour.

Now let's find how much flour she needs to use for each case:

If she uses (1/8) cups of sugar, how much flour she uses?

First, we need to count how many times we have (3/4) cups of sugar in (1/8) cups of sugar, which is the quotient:

(1/8)/(3/4) = 4/(3*8) = 4/24 = 1/6

This means that we need to use (1/6) times (1/2) cups of flour.

this is:

(1/6)*(1/2) cups of flour = (1/12) cups of flour.

If she uses (4/3) cups of sugar, we need to count how many times we have (3/4) cups of flour in that amount, this is:

(4/3)/(3/4) = (4*4)/(3*3) = 16/9

Then we need to se (16/9) times (1/2) cups of flour, this is:

(16/9)*(1/2) cups of flour = (16/18) cups of flour = (8/9) cups of flour

If she uses (1/2) cups of sugar, we need to count how many times we have (3/4) cups of sugar in that amount, this is:

(1/2)/(3/4) = 4/(2*3) = 4/6

Then she needs to use (4/6) times (1/2) cups of flour

this is:

(4/6)*(1/2) cups of flour = 4/(6*2) cups of flour = (1/3) cups of flour.

If she uses (1/4) cups of sugar, we need to count how many times we have (3/4) cups of sugar in that amount, this is:

(1/4)/(3/4) = 4/(4*3) = 4/12

Then she needs to use (4/12) times (1/2) cups of flour

this is:

(4/12)*(1/2) cups of flour = 4/(12*2) cups of flour = (1/6) cups of flour.

If she uses (1/5) cups of sugar, we need to count how many times we have (3/4) cups of sugar in that amount, this is:

(1/5)/(3/4) = 4/(5*3) = 4/15

Then she needs to use (4/15) times (1/2) cups of flour

this is:

(4/15)*(1/2) cups of flour = 4/(15*2) cups of flour = (2/15) cups of flour.

Answer:

below sea level;

-100 feets

Step-by-step explanation:

Given that:

Dallas, Texas elevation = 200 feets

Jacksonville = 300 feets less than elevation of Dallas

Hence, elevation of Jacksonville :

Dallas elevation - 300 feets

200 feets - 300 feets = - 100 feets

Hence Elevation of Jacksonville city is - 100 feets

-100 feets, means elevation of Jacksonville city is below sea level (elevation points less than 0, are below sea level).

Answer:

4x³ + 14x² + 8x + 6

Step-by-step explanation:

Perimeter = 2(L + W) = 2(7x² + 4x + 3 + 2x³) = 14x² + 8x + 6 + 4x³

4x³ + 14x² + 8x + 6

Answer:

2x and -36x

Step-by-step explanation:

-72/2 = -36

-36x + 2x = -34x

2x * -34x = -72x

Answer:

A) 1

Step-by-step explanation:

The formula is

y2 - y1  /  x2 - x 1

So in this case it would be...

7 - 3 / 2 - (-2)

7 - 3 / 2 + 2

4 / 4

1

Answer:

A

Step-by-step explanation:

7 - 3 / 2 - (- 2)

4 / 4

1

Answer:

B

Step-by-step explanation:

B'(7, -4)

Let the pre-image coordinates be (x,y)

Consider x-coordinate,

x + 4 = 7

x = 3

Consider y-coordinates,

y + 5 = -4

y = -9

pre-image coordinates is (3, -9)

Answer:

i did this for now :)) ill try others too

Answer:

for # 1 the answer is B

for the second one i dont know

for the last one the answer is D

Step-by-step explanation:

Answer: [tex]\frac{5}{4}\ ft[/tex]

Step-by-step explanation:

Given

Maria kite tail is [tex]3\ \frac{1}{2}\ ft[/tex] long

Max's kite tail is [tex]2\ \frac{1}{4}\ ft[/tex] long

Converting it to a fraction

Maria kite tail

[tex]\Rightarrow \dfrac{3\times2+1}{2}=\dfrac{7}{2}\ ft[/tex]

Max's kite tail

[tex]\Rightarrow \dfrac{2\times4+1}{4}=\dfrac{9}{4}\ ft[/tex]

Difference between lengths

[tex]\Rightarrow \dfrac{7}{2}-\dfrac{9}{4}\\\Rightarrow \dfrac{14-9}{4}=\dfrac{5}{4}\ ft[/tex]

Max's tail is [tex]\frac{5}{4}\ ft[/tex] short than Maria kite tail

Given:

A figure of a kite.

To find:

The area of the given kite.

Solution:

The area of a kite is the half of the product of its diagonals.

[tex]A=\dfrac{d_1d_2}{2}[/tex]             ...(i)

Where, [tex]d_1,d_2[/tex] are two diagonals of the kite.

From the given figure it is clear that the length of one diagonal is the sum of 12 and 8.

[tex]d_1=12+8[/tex]

[tex]d_1=20[/tex]

Let the second diagonal be 2x. The first diagonals bisect the second diagonal. So, the length of one parts of the diagonal is x.

Diagonals of a kite are perpendicular to each other. Using Pythagoras theorem, we get

[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]

[tex]13^2=x^2+12^2[/tex]

[tex]169-144=x^2[/tex]

[tex]25=x^2[/tex]

[tex]5=x[/tex]

The length of second diagonal is:

[tex]d_2=2x[/tex]

[tex]d_2=2(5)[/tex]

[tex]d_2=10[/tex]

Substituting [tex]d_1=20,d_2=10[/tex] in (i), we get

[tex]A=\dfrac{20\times 10}{2}[/tex]

[tex]A=\dfrac{200}{2}[/tex]

[tex]A=100[/tex]

Therefore, the area of the kite is 100 square units.