Answer:
Step-by-step explanation:
The formula for volume of a cylinder is..
V = πr²h where r is the radius and h is the height. We are given V = 452 and h = 9, plug those values in and solve for r
452 = πr²(9)
452/(9π) = r² (divide both sides by 9π)
√[452/(9π)] = r (take the square root of both sides)
(√452)/(√9π) = r (the next steps simplify the equation)
(2√113)/(3√π) = r
[(2√113)√π)]/[3(√π)(√π)] = r
[2√(113π)]/(3π) = r
Answer:
(1) 13.86 units.
(2) 1182.72 cubic units.
Step-by-step explanation:
Please find the attachment.
We have been given that a regular square pyramid has base edges of length 16 and its lateral faces are inclined 30° to the base of the pyramid.
(1) We can find height of pyramid using tan.

The length of opposite side will half the length of square base.





Therefore, the height of the pyramid will be 13.86 units.
(2). We know that volume of pyramid is 1/3 the product of base area and height.




Therefore, the volume of the pyramid would be 1182.72 cubic units.
Answer:
x = 20.75
Step-by-step explanation:
<u>Step 1: Solve for x</u>
4x + (-9) = 74
4x - 9 + 9 = 74 + 9
4x / 4 = 83 / 4
x = 20.75
Answer: x = 20.75
Given that:
A = 63
B = 56
C = 61 (since these angles should be equal to 180)
a =
b =
c = 1/2
sin 63 / a = sin 61 / .5
a = .51 miles
sin 56 / b = sin 61 / .5
b = .47 miles
The correct answers are: 0.51 miles and 0.47 miles. These are <span>the distances from each observer to the sailboat.
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Answer:
Step-by-step explanation:
I can't give you a direct answer, but i know something that might help