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storchak [24]
3 years ago
10

Another Brainliest/35pt Question to toss at yall

Mathematics
1 answer:
olchik [2.2K]3 years ago
3 0

Answer:

6/14 and 15/35

Step-by-step explanation:

Hope this helps :) mark me brainliest plz :)

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The ratio of the circumference of two circles is 3:2.What is the ratio of their area
Nezavi [6.7K]

The ratio of their area is 9/4

<h2>Explanation:</h2>

We use ratios to compares values. In this exercise, we are comparing the circumference of two circles, which is:

3:2

and we want to know what is the ratio of their area. Recall that the circumference of a circle is given by:

C=2\pi r \\ \\ \\ Where: \\ \\ C:Circumference \\ \\ r:Radius \ of \ the \ circle

If we define:

C_{1}: \ Circumference \ of \ circle \ 1 \\ \\ C_{2}: \ Circumference \ of \ circle \ 2 \\ \\ r_{1}: \ Radius \ of \ circle \ 1 \\ \\ r_{2}: \ Radius \ of \ circle \ 2

Then, the ratio of the circumference of two circles is 3:2 is:

\frac{C_{1}}{C_{2}}=\frac{2\pi r_{1}}{2\pi r_{2}}=\frac{3}{2} \\ \\ \therefore \frac{r_{1}}{r_{2}}=\frac{3}{2}

The area of a circle is given by:

A=\pi r^2 \\ \\ A:Area \\ \\ r:Radius

So the ratio of their area can be found as:

\frac{A_{1}}{A_{2}}=\frac{\pi r_{1}^2}{\pi r_{2}^2} \\ \\ \\ A_{1}:Area \ of \ circle \ 1 \\ \\ A_{2}:Area \ of \ circle \ 2

So:

\frac{A_{1}}{A_{2}}=\frac{r_{1}^2}{r_{2}^2}=\left( \frac{r_{1}}{r_{2}} \right)^2 \\ \\ \frac{A_{1}}{A_{2}}=\left(\frac{3}{2}\right)^2 \\ \\ \boxed{\frac{A_{1}}{A_{2}}=\frac{9}{4}}

<h2>Learn more:</h2>

Unit rate: brainly.com/question/13771948#

#LearnWithBrainly

5 0
3 years ago
Zane spent $1.50 more than Taylor
Virty [35]
How much does Taylor has?
8 0
3 years ago
Write an equation for three-fourth of m is 20​
alisha [4.7K]

Answer:

Since, three fourth of \(t\) is \(15\). Hence, the required equation is \(\frac{3t}{4}=15\)

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
The triangles at right are similar what is the value of x
Ilya [14]

Answer:

must remember triangle interior angle is 180.

and they said the triangle is similar so they have similar angle

180-95-58=27

6 0
3 years ago
The equation having null set as its solution set is
KIM [24]

Answer:

  B) x = e^x

Step-by-step explanation:

The graphs of y = e^x and y = x never intersect, so the solution set will be the empty (null) set for ...

  x = e^x

_____

There is one intersection of y=x with cos(x) and with sin(x). There are an infinite number of solutions for x = tan(x).

4 0
3 years ago
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