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3 years ago

A circle has a circumference of 50.2450.24 units. What is the radius of the circle?

Mathematics

1 answer:

Roman55 [17]3 years ago

8 0

The formula for circumference is 2 x PI x r

Using the circumference we can find the radius:

50.24 = 2 x PI x r

Multiply 2 by PI:

2 x 3.14 = 6.28

50.24 = 6.28 x r

Divide both sides by 6.28:

R = 50.24 / 6.28

R = 8

The radius is 8 units.

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Step-by-step explanation:

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3 years ago

Find the coordinates of point B along a directed line segment from A(3,4) and

andreev551 [17]

We have been given two points. $A(3,4)$ and $C(3,9)$ . We are asked to find the point B such that it divides line segment AC so that the ratio of AB to BC is 4:1.

We will use segment formula to solve our given problem.

When a point P divides segment any segment internally in the ratio $m:n$ , then coordinates of point P are:

$[\right x=\frac{mx_2+nx_1}{m+n},y=\frac{my_2+ny_1}{m+n}\left]$

$(x_1,y_1)=(3,4)$ and $(x_2,y_2)=(3,9)$ .

$m=4,n=1$

Upon substituting our given information in above formula, we will get:

$[\right x=\frac{4(3)+1(3)}{4+1},y=\frac{4(9)+1(4)}{4+1}\left]$

$[\right x=\frac{12+3}{5},y=\frac{36+4}{5}\left]$

$[\right x=\frac{15}{5},y=\frac{40}{5}\left]$

$[\right x=3,y=8\left]$

Therefore, the coordinates of point B would be $(3,8)$ .

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3 years ago

2. Kim is x years old. Jordan is 7 years older than Kim. Four times Jordan’s age is equal to 200. (a) Write an equation that cou

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(a) Kim x years old
Jordan x+7 years old
4(x+7)=200
An Equation That Could Be Used To Solve For Kim's Age , x Is 4x+28=200.
(b) 4x=200-28
4x=172
x=43
Kim Is 43 Years Old.
(c) x+7
=43+7
=50
Jordan Is 50 Years Old.

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3 years ago