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Delicious77 [7]
3 years ago
5

A slice is made parallel to the base of a right rectangular pyramid.

Mathematics
1 answer:
galina1969 [7]3 years ago
6 0
If the slice is made parallel to the base, then if the base is a rectangle, the cross-section would be A. rectangle
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Will wanted to make some brownies using the pan shown below.
luda_lava [24]

Answer:

108 since in order to find out the maximum amount, we have to find the volume of the full pan, which is found by the formula shown below:

Vbrownie batter=L×W×H=9×8×1.5=108cubic inches

5 0
4 years ago
I WILL MARK YOU AS BRAINLIEST!PLEASE HELP ME WITH 19
Alex787 [66]

Answer:

x is 7.5 so the answer is D

Step-by-step explanation:

Since the triangles are similar, you can flip the 1st one to match the 2nd.

Now you can write

16/12=10/x

(the 9 is irrelevant)

now cross multiply to solve for x

12x10=120

120/16=7.5

x is 7.5

3 0
3 years ago
What is the density of a brick
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While fire clay bricks have a density of 2400 kg/m3, for common red bricks it is 1900 kg/m3 . [
7 0
3 years ago
Chloe is trying to find three consecutive, positive integers such that six times the largest is equal to the twice sum of the tw
andrezito [222]

Answer:

The three consecutive numbers cannot be 4, 5, and 6 because, the result will be 36 ≠ 18, which is indeterminate

Step-by-step explanation:

The given parameters are;

The three consecutive positive numbers Chloe is trying to find are x, x+1, x + 2

The conditions of the three positive numbers are;

6 × (x + 2) = 2 × (x + x + 1)

We check if the three consecutive numbers can be 4, 5, and 6 by substituting the values as follows;

x + 2 = 6

x + 1 = 5

x = 4

Which gives;

6 × (6) ≠ 2 × (4 + 5)

36 ≠ 18

Therefore, the three consecutive numbers cannot be 4, 5, and 6

6 0
3 years ago
Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined that the popu
Tju [1.3M]

Answer:

a) 3.3352 inches.

b) 8.2648 inches.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

\mu = 5.8, \sigma = 1.2

A. What is the minimum head breadth that will fit the clientele?

This is the 2nd percentile, which is X when Z has a pvalue of 0.02. So X when Z = -2.054.

Z = \frac{X - \mu}{\sigma}

-2.054 = \frac{X - 5.8}{1.2}

X - 5.8 = -2.054*1.2

X = 3.3352

So the minimum head breadth that will fit the clientele is 3.3352 inches.

B. What is the maximum head breadth that will fit the clientele?

The 100-2 = 98th percentile, which is X when Z has a pvalue of 0.98. So X when Z = 2.054.

Z = \frac{X - \mu}{\sigma}

2.054 = \frac{X - 5.8}{1.2}

X - 5.8 = 2.054*1.2

X = 8.2648

So the maximum head breadth that will fit the clientele is 8.2648 inches.

8 0
4 years ago
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