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densk [106]
4 years ago
9

a triangle pyramid with an equilateral base has a side length of 10 centimeters and a surface area of 214.5 square meters. find

its slant height
Mathematics
1 answer:
sweet [91]4 years ago
6 0
Area of the base = 1/2 * 10 *  5sqrt3 =  25 sqrt3

Total surface area = 25 sqrt3 + 3 *  1/2 * 10 * slant height = 214.5

25 sqrt3 + 15h = 214.5
15h = 214.5 - 25 sqrt3

h =   (214.5 - 25sqrt3() / 15

=  11.41 cm to nearest hundredth
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Ludmilka [50]
We can solve this problem by rule of 3:

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4 years ago
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dedylja [7]

Answer:  a) 0.8413, b) 0.9987.

Step-by-step explanation:

Since we have given that

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P(X>2.75)\\\\=P(z>\dfrac{2.75-3}{0.25}\\\\=P(z>\dfrac{-0.25}{0.25})\\\\=P(z>-1)\\\\=0.8413

b) What is the probability that the heaviest brick in the sample exceeds 3.75 pounds?

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Hence, a) 0.8413, b) 0.9987.

4 0
3 years ago
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Anon25 [30]

Answer:

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Step-by-step explanation:

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7 0
4 years ago
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Step-by-step explanation:

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4 years ago
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