Because this is a triangle and we know that we can use the Pythagorean Theorem to find the hypotenuse we just plug in the numbers. But because you have the hypotenuse already you will subtract the leg from the hypotenuse.
A^2+B^2=C^
16^2+B^2=20^2
256+B^2=400 subtract 256 from both sides
B^2=144 now take the square root of both sides
B=12
The second leg is 12 cm long. Your answer is B, the second answer.
Answer:
D
Step-by-step explanation:
Use the formula for the SA of a hemisphere.

Now we can find the radius of the hemisphere, which is 15.
Then, we can square that and multiply it by 2 to get 450.
Now, let's use the formula for the Volume of a hemisphere.

Now we can cube 15 and multiply it by 2 to get 6750.
Then we can divide this number by 3.
2250.
So the answer is D.
9514 1404 393
Answer:
(c) 52.0
Step-by-step explanation:
The angle whose cosine is 8/13 is found using the inverse cosine function:
y° = arccos(8/13) ≈ 52.0°
y ≈ 52.0
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The calculator button to compute this value is probably labeled cos⁻¹. You may need to access the function using a <em>Shift</em> or <em>2nd</em> key. The calculator must be set to degrees mode to prevent the answer from appearing in radians or grads. If you use a spreadsheet, your formula may look like ...
=DEGREES(ARCCOS(8/13))
Simply take the numerator (3) and denominator (7) and add them together.
3+7 = 10, which means that the ratio will provide parts that are in multiples of 10 depending on the total
so take 10x = 800
x = 80.
Then multiply this by the numerator and denominator
3*80/7*80 = 240/560.