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inna [77]
2 years ago
7

An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, t

he altitude cuts the base into two equal segments. The length of the altitude is 18 inches, and the length of the base is 17 inches. Find the triangle's perimeter. Round to the nearest tenth of an inch.
Mathematics
1 answer:
Dennis_Churaev [7]2 years ago
6 0

9514 1404 393

Answer:

  56.8 in

Step-by-step explanation:

The side length (s) can be found using the Pythagorean theorem. The short leg of the right triangle is 17/2 = 8.5 inches.

  8.5^2 + 18^2 = s^2

  s = √396.25 ≈ 19.906 . . . inches

Then the perimeter is ...

  2 × 19.9 in + 17 in = 56.8 in

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The amount of toothpaste in a tube is normally distributed with a mean of 6.5 ounces and a standard
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Answer:

a) 266 tubes ,  TC_r = $53.2

b) 266 tubes ,  T.Loss = $13.30

Step-by-step explanation:

Given:

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b) How many tubes will be found to contain more than 7 ounces? In that case, what will be the amount of  profit lost?

Solution:

- First we will compute the probability of tube containing less than 6 oz.

- Declaring X : The amount of toothpaste.

Where,                         X ~ N ( 6.5 , 0.8 )

- We need to compute P ( X < 6 oz )?

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                  P ( X < 6 oz ) =  P ( Z < (6 - 6.5) / 0.8 ) = P ( Z < -0.625 )

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- The total cost of refill:

                            TC_r = C_f*(number of tubes with X < 6)

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- We need to compute P ( X > 7 oz )?

Compute the Z-score value:

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Use the Z table to find the probability:

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                            T.Loss = 5*266 = 1330 cents = $13.30

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