Which expression is equivalent to 6/12 divided by 2/3
1 answer:
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Answer:
≈ 33°
Step-by-step explanation:
So, first, you can draw a visual. Refer to the image attached below:
Using this info, you can use trigonometric ratios. Recall that:
tangent = opposite side/adjacent side
sine = opposite side/ hypotenuse
cosine = adjacent side/hypotenuse
You can clearly see that you have an opposite side and a given hypotenuse. This means we'll be using sine.
So:
However, we're not trying to find sinX, we're trying to find X.
So we would have to use inverse sine, which would then be:
Put this into your calculator, and:
X ≈ 33.05573115...
Answer: Option C.
Step-by-step explanation:
Use the formula for calculate the volume of a cone:
Where r is the radius and h is the height.
Volume of the cone A:
Volume of the cone B:
If the height of the cone B and the height of the cone A are the same , but the radius of the cone B is doubled, then its radius is:
Then:
Divide by
:
Therefore: When the radius is doubled, the resulting volume is 4 times that of the original cone.
Answer: (3) f(8) = g(8)
<u>Step-by-step explanation:</u>
Let's compare the values of f(x) and g(x) when x = 0, 2, 8, and 4
<u> f(x) </u> <u> g(x) </u> <u>Comparison</u>
f(x) = 2x - 3
f(0) = 2(0) - 3
= -3 = 1 f(0) < g(0)
f(2) = 2(2) - 3
= 1 = 4 f(2) < g(2)
f(8) = 2(8) - 3
= 13 = 13 f(8) = g(8)
f(4) = 2(4) - 3
= 5 = 7 f(4) < g(4)
The only statement provided that is true is f(8) = g(8)