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just olya [345]
3 years ago
14

A square has a diagonal of 18 millimeters what is its perimeter

Mathematics
1 answer:
Orlov [11]3 years ago
7 0
Its 18mil as well because all the sides are the same.
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Answer:

129.3 in²

Step-by-step explanation:

The shaded segment is calculated as

area of sector ABC - area of triangle ABC

area of sector = area of circle × fraction of circle

A = πr² × \frac{60}{360}

   = π × 18² × \frac{1}{6}

   = 324π × \frac{1}{6} = 54π in²

area of Δ ABC = \frac{1}{2} × 18 × 18 × sin60°  ≈ 40.30 in²

Then

shaded area = 54π - 40.30 ≈ 129.3 in² ( to the nearest tenth )

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3 years ago
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umka21 [38]
2 cakes - Theresa's and Joe's
Theresa's cake had 6 pieces after she cut it. (2 times the size of Joe's pieces)
Joe's cake had 12 pieces after he cut it. (1/2 the size of Theresa's pieces)

We know that 8/12ths of ONE cake were eaten and that Joe ate 2 of his pieces.
We want to know how many pieces Theresa ate of her cake. Keeping in mind that her pieces are equal to 2 of Joe's pieces we can solve this question. 

8/12 eaten total
if 2/12 by Joe
then 8-2 = 6, 6/12 by Theresa
(BUT: Theresa's pieces were twice the size of Joe's so we will divide by 2)
6/12 = 3/6

Answer: Theresa ate 3 pieces of her cake

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