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bazaltina [42]
3 years ago
15

57. A small square pyramid of height 6 cm was removed from the top of a large square pyramid of height 12 cm forming the solid s

hown. Find the exact volume of the solid.
Mathematics
2 answers:
Fittoniya [83]3 years ago
7 0
The pyramids is 52 for this question
Mariana [72]3 years ago
3 0

Answer is: 62.4m^3

The volume of a pyramid is 1/3, where B is the

area of the base and h is the height of the pyramid.

The base of this pyramid is a rectangle with a length

of 8 meters and a width of 4.5 meters. The height of

the pyramid is 5.2 meters.

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Find the lateral area of the cylinder.<br><br>Give your answer in the terms of pi.
Wewaii [24]
Hi there! 

The formula for the lateral area of a cylinder is LA = 2 x pi x r x h. (two times pi times radius times height) Using this formula, we can plug in the values and solve for the lateral area.

Plugging in the values: LA = 2 x pi x 7 x 9
Simplifying: LA = 2pi x 63
LA = 126pi yd^2

ANSWER:
The 4th option - 126pi yd^2

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
6 0
3 years ago
What is the slope of the line in the graph?
Goshia [24]

Answer:

My answer would be y=2x+1

Step-by-step explanation:

7 0
3 years ago
There are big spenders among University of Alabama football season ticket holders. This data set Roll Tide!! shows the dollar am
Bas_tet [7]

Using the z-distribution, as we have a proportion, the 95% confidence interval is (0.2316, 0.3112).

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

We also consider that 130 out of the 479 season ticket holders spent $1000 or more at the previous two home football games, hence:

n = 479, \pi = \frac{130}{479} = 0.2714

Hence the bounds of the interval are found as follows:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2714 - 1.96\sqrt{\frac{0.2714(0.7286)}{479}} = 0.2316

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2714 + 1.96\sqrt{\frac{0.2714(0.7286)}{479}} = 0.3112

The 95% confidence interval is (0.2316, 0.3112).

More can be learned about the z-distribution at brainly.com/question/25890103

7 0
2 years ago
Please help, basic algebra. Find the value of x
Lesechka [4]

Answer:

X= 53

Random comment:

Hopefully i've helped you good luck.

4 0
3 years ago
Read 2 more answers
Two straight lines that intersect at a right angle are __?__ to each other.
GaryK [48]

Answer: perpendicular lines

Step-by-step explanation:

look up "Two straight lines that intersect at a right angle"

4 0
3 years ago
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