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Mariana [72]
3 years ago
10

A square pyramid has a base length of 6 inches. The height of each triangular face is 11 inches. Which expressions correctly cal

culate the surface area of the pyramid
Mathematics
1 answer:
VMariaS [17]3 years ago
7 0

Answer:

168 in²

Step-by-step explanation:

The square would be 36 in²

Area of a triangle is A= 1/2 bh

A = 1/2 (11 x 6), A= 1/2 (66)

1/2 (66) = 33 in², which is the area of a triangle.

Then you multiply 33 x 4 to get the area of all the triangles, which is 132 in²

You add the area of the square to the area of the triangles, which is 168 in².

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Tracy mckinney is a disc jockey at radio station wmmm. her annual salary is $52,750. what is her monthly salary? $4,395.83 $5,27
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Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined that the popu
vitfil [10]

Answer:

a) The minimum head breadth that will fit the clientele = 4.105 inches to 3d.p = 4.1 inches to 1 d.p

b) The maximum head breadth that will fit the clientele = 8.905 inches to 3 d.p = 8.9 inches to 1 d.p

Step-by-step explanation:

This is normal distribution problem.

A normal distribution has all the data points symmetrically distributed around the mean in a bell shape.

For this question, mean = xbar = 6.1 inches

Standard deviation = σ = 1 inch

And we want to find the lowermost 2.3% and uppermost 2.3% of the data distribution.

The minimum head breadth that will fit the clientele has a z-score with probability of 2.3% = 0.023

Let that z-score be z'

That is, P(z ≤ z') = 0.023

Using the table to obtain the value of z'

z' = - 1.995

P(z ≤ - 1.995) = 0.023

But z-score is for any value, x, is that value minus the mean then divided by the standard deviation.

z' = (x - xbar)/σ

- 1.995 = (x - 6.1)/1

x = -1.995 + 6.1 = 4.105 inches

The maximum head breadth that will fit the clientele has a z-score with probability of 2.3% also = 0.023

Let that z-score be z''

That is, P(z ≥ z'') = 0.023

Using the table to obtain the value of z''

P(z ≥ z") = P(z ≤ -z")

- z'' = - 1.995

z" = 1.995

P(z ≥ 1.995) = 0.023

But z-score is for any value, x, is that value minus the mean then divided by the standard deviation.

z'' = (x - xbar)/σ

1.995 = (x - 6.1)/1

x = 1.995 + 6.1 = 8.905 inches

6 0
3 years ago
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