Answer: the building is 355.2 feet
Step-by-step explanation:
A right angle triangle is formed. The distance of the lamppost from the building represents the adjacent side of the right angle triangle. The height of the building represents the hypotenuse of the right angle triangle.
To determine how tall the building is, h, we would apply apply
the Tangent trigonometric ratio.
Tan θ = opposite side/adjacent side. Therefore,
Tan 36.4 = h/482
h = 482Tan36.4
h = 482 × 0.737
h = 355.2 feet
So you would plug them in:
2(9)+4(5)-3(12)
18+20-36
38-36
2 would be the answer
Answer:
the outlier is 20 and 24
Step-by-step explanation: An outlier, in mathematics, statistics and information technology, is a specific data point that falls outside the range of probability for a data set. In this Case 20 and 24 are outliers because they are not in the range of 58, 59, 63, 63, 65, 66. :) your welcome.
<h3>
Answer: False</h3>
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Explanation:
If you have the two 3D solids with cross sections of equal area, and they are of the same height, then it can be proven the two volumes are the same. So it is possible for a cylinder and triangular prism to have the same volume.
An example would be that imagine you had a stack of pennies to form a large cylinder. The volume is found by computing the area of one penny's face (aka area of a circle) multiplied by the height of the stack.
Now imagine moving the stack to form a strange curve of any sort you want. The pillar has a bend in it now. It's no longer a perfect cylinder, but we still have the same volume since we haven't destroyed any of the pennies.
All we've done is move things around. The small pieces all have the same volume, so the total volume is still the same as well. So this is one application of Cavalieri's principle.