Can someone help me with this problem? Please

Mathematics

1 answer:

Molodets [167]3 years ago

4 0

Semicircle g has center at (-4,0) and radius 2.

Use the general equation for a circle:

(x-h)^2 + (y-k)^2 = r^2

Here, the center is (h,k), where h = -4 and k=0. Also, r = 2

So we have (x-[-4])^2 + (y-0)^2 = r^2 = 4

Let's solve for y in terms of x:

y^2 = 4 - (x+4)^2

Since we are interested in only the bottom half of this circle,

y = - sqrt(4 - x^2 - 8x - 16)

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Mary is making some shirts for her school's drama department. The fabric store has 3 1/6 yards of the fabric she wants in stock.

ddd [48]

The answer is 4 3/4 yards of the fabric.

This can be calculated using the proportion.
If the 3 1/6 yards of the fabric is enough for 1 1/3 shirts, how many yards are necessary of 2 shirts:
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Similarly, 1 1/3 = 4/3:
$1 \frac{1}{3} =1+ \frac{1}{3} = 1* \frac{3}{3}+ \frac{1}{3} = \frac{3}{3} + \frac{1}{3} = \frac{3+1}{3} = \frac{4}{3}$

Now, let's use this in the proportion:
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Crossing the products:
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⇒ $x = \frac{19}{3} : \frac{4}{3}$
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Therefore, Mary needs in total 4 3/4 yards of the fabric.

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