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3 years ago

What circular area is covered by the signal if the circumference is 754 miles?

Mathematics

1 answer:

Alekssandra [29.7K]3 years ago

5 0

Answer:

A =45216 miles^2

Step-by-step explanation:

We can find the radius

C = 2 * pi *r

754 = 2 * pi *r

Divide each side by 2 pi

754 /2pi = 2 * pi *r/ 2 pi

377/pi =r

Approximating 3.14 for pi and rounding the radius to the nearest mile

120 = r

Now we need to find the area

A = pi r^2

A = 3.14 (120)^2

A = 3.14 (14400)

A =45216 miles^2

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Find the volume of the cubes or rectangular prisms in cubic centimeters.

DanielleElmas [232]

a) Volume of Rectangular prism is $\frac{36}{125}\,\,cm^3$

b) Volume of cube is $\frac{8}{125}\,\,cm^3$

c) Volume of cube is $\frac{1}{125}\,\,cm^3$

d) Volume of Rectangular prism is $\frac{6}{125}\,\,cm^3$

Step-by-step explanation:

Part a)

Volume of rectangular prism with

length= $\frac{3}{5}\,\,cm$

width= $\frac{4}{5}\,\,cm$

height = $\frac{3}{5}\,\,cm$

The formula used to find Volume of rectangular prism is:

$Volume\,\,of\,\,rectangular\,\,prism=length*width*height$

Putting values:

$Volume\,\,of\,\,rectangular\,\,prism=\frac{3}{5} *\frac{4}{5} *\frac{3}{5}\\Volume\,\,of\,\,rectangular\,\,prism=\frac{36}{125}\,\,cm^3$

So, Volume of Rectangular prism is $\frac{36}{125}\,\,cm^3$

Part b)

Volume of cube with side length of $\frac{2}{5}\,\,cm$

The formula used to find Volume of cube is:

$Volume\,\,of\,\,cube=length^3$

Putting value of length and finding volume:

$Volume\,\,of\,\,cube=length^3\\Volume\,\,of\,\,cube=(\frac{2}{5})^3\\ Volume\,\,of\,\,cube=\frac{8}{125}\,\,cm^3$

So, Volume of cube is $\frac{8}{125}\,\,cm^3$

Part c)

Volume of cube with side length of $\frac{1}{5}\,\,cm$

The formula used to find Volume of cube is:

$Volume\,\,of\,\,cube=length^3$

Putting value of length and finding volume:

$Volume\,\,of\,\,cube=length^3\\Volume\,\,of\,\,cube=(\frac{1}{5})^3\\ Volume\,\,of\,\,cube=\frac{1}{125}\,\,cm^3$

So, Volume of cube is $\frac{1}{125}\,\,cm^3$

Part d)

Volume of rectangular prism with

length= $\frac{1}{5}\,\,cm$

width= $\frac{2}{5}\,\,cm$

height = $\frac{3}{5}\,\,cm$

The formula used to find Volume of rectangular prism is:

$Volume\,\,of\,\,rectangular\,\,prism=length*width*height$

Putting values:

$Volume\,\,of\,\,rectangular\,\,prism=\frac{1}{5} *\frac{2}{5} *\frac{3}{5}\\Volume\,\,of\,\,rectangular\,\,prism=\frac{6}{125}\,\,cm^3$

So, Volume of Rectangular prism is $\frac{6}{125}\,\,cm^3$

Keywords: Volume

Learn more about Volume at:

#learnwithBrainly

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3 years ago

A map has a scale of 66 miles to the inch. How far apart on the map are two cities that in reality are 198 miles apart?

lesya [120]

They are 3 inches apart

5 0

4 years ago

Trisha needs 4.5 yards of fabric to do a project. If she already has 2/3 of a yard of fabric, what is the minimum amount of fabr

DochEvi [55]

1 yard = 3 feet
2/3 of a yard would be 2 feet

4.5 yards = 13.5 feet
13.5-2 = 11.5 feet

11.5 feet = 3.83 yards

therefore at least 11.5 feet or 3.83 yards must be purchased

8 0

3 years ago

Find the measure of angle s

olga_2 [115]

Answer: S=35

Step-by-step explanation:

90-55=35

the angles combined are 90 degrees so that why you would subtract 55 from 90 to get the angle of S.

4 0

2 years ago

4 is a multiple of both 2 and 4. Write an equivalent fraction for 1/2 using fourths.

Svetradugi [14.3K]

Answer:

Step-by-step explanation:

1/2*2=2/4

1/2*4=4/8

7 0

3 years ago

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