if ∡a and ∡b are complementary angles, that simply means that ∡a + ∡b = 90°.
Answer:
113.1 (113.0973355...)
Step-by-step explanation:
1. Use the sphere volume formula of π.
2. Divide 6 by 2 in order to get a radius of 3.
3. Substitute 3 in for r.
4. Cube the 3, you'll get 27.
5. Multiply 27 by Pi and 4/3.
6. You get 113.1 as a rough estimate, or 113.0973355... for a more exact number. If you leave it in Pi terms, it's 36π.
Answer:
f^-1(x) = 4x^2 -3 . . . . x ≤ 0
Step-by-step explanation:
Interchange x and y, then solve for y.
x = -1/2√(y+3)
-2x = √(y +3)
4x^2 = y +3
4x^2 -3 = y
Note that the range of the function f(x) is f(x) ≤ 0, so this will be the domain of the inverse function. Then the inverse function is ...
f^-1(x) = 4x^2 -3 . . . . for x ≤ 0
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The attached graph shows this inverse function is a reflection of the function across the line y=x, as it should be.
Answer:
Y=3/2x
Step-by-step explanation:
Answer:
1/4 of the work
Step-by-step explanation:
A quarter (1/4) of the work is done in 2 days. Let's break it down:
Work can be finished in 8 days total so with 2 days it is only partially completed. If we set it up as 2/8 we can simplify to get 1/4. Therefore, we know only a quarter of the work is done so far.