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Elenna [48]
3 years ago
10

Three sevenths of a children's choir are boys. If there are 12 boys in the choir, how many children, c, total are in the choir?

Solve for c.
Mathematics
2 answers:
ruslelena [56]3 years ago
6 0

Answer:

Here c represents the total number of children  in choir.

As per the statement:

Total number of boys in choir = 12

It is also given that: Three sevenths of a children's choir are boys.

⇒ Total number of boys = \frac{3}{7} c

or

12 = \frac{3}{7}c

By cross multiply we have;

84 = 3c

Divide both sides by 3 we have;

c = 28

Therefore, the total number of children in choir is 28 children


Zolol [24]3 years ago
3 0
28 kids are in the choir. Its 3 * 4 = 12. Then Its 3/7 * 4 = 12/28. Ther you gooooo.
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vitfil [10]

Answer:

Circumscribed circle: Around 80.95

Inscribed circle: Around 3.298

Step-by-step explanation:

Since C is a right angle, when the circle is circumscribed it will be an inscribed angle with a corresponding arc length of 2*90=180 degrees. This means that AB is the diameter of the circle. Since the cosine of an angle in a right triangle is equivalent to the length of the adjacent side divided by the length of the hypotenuse:

\cos 38= \dfrac{8}{AB} \\\\\\AB=\dfrac{8}{\cos 38}\approx 10.152

To find the area of the circumscribed circle:

r=\dfrac{AB}{2}\approx 5.076 \\\\\\A=\pi r^2\approx 80.95

To find the area of the inscribed circle, you need the length of AC, which you can find with the Pythagorean Theorem:

AC=\sqrt{10.152^2-8^2}\approx 6.25

The area of the triangle is:

A=\dfrac{bh}{2}=\dfrac{8\cdot 6.25}{2}=25

The semiperimeter of the triangle is:

\dfrac{10.152+6.25+8}{2}\approx 24.4

The radius of the circle is therefore \dfrac{25}{24.4}\approx 1.025

The area of the inscribed circle then is \pi\cdot (1.025)^2\approx 3.298.

Hope this helps!

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Answer:

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Step-by-step explanation:

We are given the following in the question:  

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