Answer:
The slant height of the pyramid is 3√2 ft, or to the nearest tenth ft,
4.2 ft
Step-by-step explanation:
The equation for the volume of a pyramid of base area B and height h is
V = (1/3)·B·h. Here, V = 432 ft³, B = (12 ft)² and h (height of the pyramid) is unknown. First we find the height of this pyramid, and then the slant height.
V = 432 ft³ = (144 ft²)·h, so h = (432 ft³) / (144 ft²) = 3 ft.
Now to find the slant height of this pyramid: That height is the length of the hypotenuse of a right triangle whose base length is half of 12 ft, that is, the base length is 6 ft, and the height is 3 ft (as found above).
Then hyp² = (3 ft)(6 ft) = 18 ft², and the hyp (which is also the desired slant height) is hyp = √18, or √9√2, or 3√2 ft.
The slant height of the pyramid is 3√2 ft, or to the nearest tenth ft,
4.2 ft
Answer:
No. The den will have 8 times the volume of the bedroom.
Step-by-step explanation:
The volume of the bedroom:
9 * 5 * 7 = 315 cubic feet
The volume of the den:
(9*2) (5*2) (7*2)
18 * 10 * 14 = 2,520
2,520/315 = 8
Answer:
164
Step-by-step explanation:
Remark
The two base angles are equal. That means that
<M = <J
18x + 8 = 11x + 15 Subtract 8 from both sides
18x = 11x + 15 - 8 Combine
18x = 11x + 7 Subtract 11x from both sides
18x - 11x = 7 Combine
7x = 7 Divide by 7
x = 7/7
x = 1
Find J
<J = 18x + 8
<J = 18*1 + 8
<J = 26
Find K
<K is supplementary to <J
<K + <J = 180
<K + 26 = 180
<K = 180 - 26
<K = 164
The expected number of adults that believe ufos are watching earth is 4
<h3>How to determine the number of adults?</h3>
The given parameters are:
p = 48%
Sample size, n = 8
The expected number of adults that believe ufos are watching earth is calculated as:
E(x) = np
This gives
E(x) = 8 * 48%
Evaluate
E(x) = 3.84
Approximate
E(x) = 4
Hence, the expected number of adults that believe ufos are watching earth is 4
Read more about expected values at:
brainly.com/question/15858152
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Answer: 1) 5280 ft
2) 9.44882 inches
3) 512 ounces
Step-by-step explanation: