Answer:
62
Step-by-step explanation:
The enclosing rectangle is 24 units long and 12 units high. Its area is ...
(24 units)(12 units) = 288 square units
The white circles obviously cover more than half the area, so the only viable answer choice is 62.
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If you want to go to the trouble to actually figure it out, you can find the area of each circle using the area formula ...
A = πr² = (3.14)(6²) = 113.04
Then both circles have an area of 2×113.04 = 226.08, and the shaded area is the difference between that and the rectangle area:
shaded area = 288 -226.08 = 61.92 ≈ 62
Step-by-step explanation:
First, replace f(x) with y . ...
Replace every x with a y and replace every y with an x .
Solve the equation from Step 2 for y . ...
Replace y with f−1(x) f − 1 ( x ) . ...
Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.
Answer:
∠y=60°
Step-by-step explanation:
Question says to find the measure of the angle Y.
We have been given a picture of triangle XYZ. All angles are marked with same sign so that indicates that all three angles are equal.
∠x = ∠y = ∠z...(i)
We know that sum of all three angles of the triangle is always 180°.
So we can write:
∠x+∠y+∠z=180°
∠y+∠y+∠y=180° {using equation (i) }
3∠y=180°
divide both side by 3
∠y=60°
Hence final answer is the measure of angle y is 60 degree.
Answer: B) y=6/11.
To find the horizontal asymptote(s) you must find the limit as x approaches infinity and the limit as x approaches -infinity.
Using L’Hôpital’s rule:
lim x-> infinity (f(x))=6/11.
lim x-> -infinity (f(x))=6/11.
