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3 years ago

The circumference of a circle is 25.12 miles. What is the circle's diameter? C=25.12 mi Use 3.14 for pi

Mathematics

2 answers:

svetoff [14.1K]3 years ago

8 0

The answer to your question is 8mi. I just divide the circumference by pi to find your diameter.

AlekseyPX3 years ago

4 0

Circumference=2pi*r or
and diameter=2r
in your case, the circumference is 25.12 miles, so we plug it in to the first formula:
25.12=2pi*r
12.56=3.14*r
4=r
and since 2r=diameter, the diameter is 8

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aivan3 [116]

Answer:

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part B) Te ratio of the areas (small to large) is 1/4

part C) see the explanation

Step-by-step explanation:

Part A) Determine the scale factor of the sides (small to large).

we know that

The dilation is a non rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional

Let

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$\frac{CB}{C'B'}=\frac{CD}{C'D'}=\frac{BD}{B'D'}$

The scale factor is equal to

$z=\frac{CB}{C'B'}$

substitute

$z=\frac{4}{8}$

simplify

$z=\frac{1}{2}$

Part B) What is the ratio of the areas (small to large)?

<em>Area of the small triangle</em>

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<em>Area of the large triangle</em>

$A=\frac{1}{2}(4)(8)=16\ units^2$

ratio of the areas (small to large)

$ratio=\frac{4}{16}=\frac{1}{4}$

Part C) Write a generalization about the ratio of the sides and the ratio of the areas of similar figures

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In similar figures the ratio of its areas is equal to the scale factor squared

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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. In the equation√n+5

Yuki888 [10]

Answer:

n = 59

Step-by-step explanation:

The given equation of n is $\sqrt{n + 5} - \sqrt{n - 10} = 1$ and we have to solve it for n.

$\sqrt{n + 5} - \sqrt{n - 10} = 1$ ........... (1)

⇒ $\frac{(n + 5) - (n - 10)}{\sqrt{n + 5} + \sqrt{n - 10}} = 1$

{Rationalizing the numerator}

⇒ $\sqrt{n + 5} + \sqrt{n - 10} = 15$ .............. (2)

Now, adding (1) and (2) we get

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3 years ago

Translate the statement into an equation: the difference of four times a number and eight is equal to twenty-three less than tha

neonofarm [45]

Let, the number be "x"
Now,
according to the question,
4x -8 = x -23....................This is your equation.

Now solving it,
4x - 8 = x - 23
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x = -15 / 3
x = -5

Checking the answer,
4 (-5) - 8 = (-5) - 23
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The circumference of a circle is 25.12 miles. What is the circle's diameter? C=25.12 mi Use 3.14 for ​pi

The circumference of a circle is 25.12 miles. What is the circle's diameter? C=25.12 mi Use 3.14 for pi