Answer:
18,432 pi cubic ft
Step-by-step explanation:
This problem can be solved using formula to find circumference and volume of sphere
for any sphere with radius r
circumference of sphere is 2* pi * r
volume of sphere is found by using formula 4/3*(pi*r^2)
Given circumference of sphere is 48 pi ft
therefore
2* pi * r = 48 pi ft
r = 48 pi ft/ 2* pi = 24 ft
substituting the value of r is formula of volume of sphere we have
volume of sphere is = 4/3*(pi*24^3) = 18,432 pi cubic ft
Answer:
Kindly check explanation
Step-by-step explanation:
Given :
Relative frequency = frequency / total frequency
Total frequency = 389+335+975+351+72 = 2122
Response ________ Frequency __ R/ frequency
Never ____________ 389 _ 389/2122 = 0.180
Rarely ____________ 335 _ 335/2122 = 0.158
Sometimes _________975 _975/2122 = 0.459
Most of the time _____ 351 _ 351/2122 = 0.165
Always ____________ 72 __ 72/2122 = 0.034
Applying the tangent ratio, the distance across the suspension bridge is: 499.2 ft.
<h3>What is the Tangent Ratio?</h3>
Where we are given a right triangle, the tangent ratio is determined using the formula, tan ∅ = opposite side/adjacent side.
The diagram atatched beow whos the distance across the suspension bridge which consists of 6 identical right triangles.
Find the adjacent side of each right triangle using the tangent ratio:
∅ = 32
Opposite side = 52 ft
Adjacent side = x
Plug in the values into the tangent ratio:
tan 32 = 52/x
x = 52/tan 32
x = 83.2 ft.
Distance across the suspension bridge = 6(83.2) = 499.2 ft.
Therefore, applying the tangent ratio, the distance across the suspension bridge is: 499.2 ft.
Learn more about the tangent ratio on:
brainly.com/question/4326804
The lowest terms for 19/31 would be 1
