Answer:
The height of the incline is 462 feet
Step-by-step explanation:
Here, we are asked to calculate height, given the angle of elevation.
When we talk about angle of elevation, we refer to the observation angle that we have when we look up from a position which is at the base.
Please check attachment for diagrammatic representation of the question terms.
From the attachment, we can see that we have a right angled triangle. We are asked to calculate the opposite given the adjacent.
Thus the trigonometric identity to use is the Tangent
Tan 30 = h/800
h = 800 * Tan 30 = 461.88 approximately 462 feet
Hello :
<span>the nth term of a geometric sequence is :
Un = Up ×r^(n-p) . r is the common ratio
for : p=5 and n= 2
U5 = U2 ×r^3
16 = -2 r^3
r^3 = -8
but : -8 = (-2)^3
so : r = -2
Un = U2 × r^(n-2)
Un = -2 ×(-2)^(n-2)= (-2)^(n-2+1)
</span><span>the nth term of a geometric sequenceis : Un = (-2)^(n-1)</span>
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Answer:
2 1/3 cubic inches
Step-by-step explanation:
Perhaps you want to know the volume of the prism in cubic inches.
Find the total volume of the smaller cubes:
63(1/3 in)^3 = 63/27 in^3 = 7/3 in^3 = 2 1/3 in^3
This sounds like a very poor business model right from the beginning.
The mine continuously operates at a loss, and it has nothing to sell.
If it uses 14 tons an hour just to keep running, and it produces 2 tons
an hour, then it doesn't take a business genius to point out that this
operation is rapidly digging itself straight into the ground.
I'm guessing that there was a major mistake made during the copying
of the problem.