Answer:
60π
Step-by-step explanation:
Volume of a cone is π * (radius²) * (height / 3)
radius = 1/2 diameter = 1/2 * 12 = 6
=36π * 5/3
= <u>36π*5</u>
3
= 60π
Answer:
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Step-by-step explanation:
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Answer:
length = 4x
width = 3x
perimeter = 56 m
also, perimeter = 2 (length + width) [from formula]
therefore, 2(4x + 3x) = 56m
2(7x) = 56m
14x = 56m
x = 56/14 m
x = 4m
Answer:
With the information provided, we have to assume it was Rob, in the order Rob, Henry, Charles, Dale.
However, we don't know if there were other people in the race that were not mentioned, so we can only say he came in first of those four people.
Answer:
6.2 units
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relations between trig functions and sides of a right triangle.
<h3>Common segment</h3>
To find the value of x in this figure, we need to know the length of the common segment between the two triangles. That segment is opposite the 53° angle, so can be found using the sine relation:
Sin = Opposite/Hypotenuse
Opposite = Hypotenuse × Sin = 30·sin(53°) ≈ 23.9591
__
<h3>Missing measure</h3>
The side marked x is adjacent to the marked angle in that triangle, so the relevant relation is ...
Cos = Adjacent/Hypotenuse
Adjacent = Hypotenuse × Cos = 23.9591·cos(75°) ≈ 6.20106
The length of the side marked x is about 6.2 units.
