Answer:
D 2
Step-by-step explanation:
hope this helps you
Answer:
the volume for the second page is 607.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>Exponential function is:</u>
<u>If we consider the time difference in years as x and the initial population as a, then we get:</u>
<u>Find the value of b:</u>
- b¹⁰ = 675647/617594
- b¹⁰ = 1.09399864636
- b = 1.09399864636^(1/10)
- b = 1.009 (rounded)
<u>The equation we got is:</u>
Here we have y- population after x years since 2010, x - the number of years since 2010 and 1.009 is the population growth rate.
Let "what" and "what" be A and B
Put this in an algebraic equation
A * B = 21
A + B = -22
A must = -21 and B must = -1 , this is because two negatives multiply to make a positive
A + B = -22 , -21 +-1 = -22
The picture in the attached figure
we know that
the area of the shaded region is equal to
(2/3)*[area of the circle - the area of the triangle]
step 1Find the area of a circle Ac
Ac = π r²
Ac = π (6)²
Ac = 113.10 units²
step 2find the area of the triangle At
The triangle is an equilateral triangle with angles on each corner equal to 60 degrees. Meanwhile,
the 3 angles at the center is 120 degrees each since a circle is 360 degree.
We know that the radius (line from centerpoint to corner) is equivalent to 6.
Using the cosine law,
we can calculate for the length of one side.
s² = 6^ + 6² – 2 (6) (6) cos 120
s² = 108
s = 10.4 units
Since this is an equilateral triangle, therefore, all sides are equal.
The area for this is:
At = (sqrt3 / 4) * s²
At = 46.77 units²
step 3the area of the shaded region=(2/3)*[area of the circle - the area of the triangle]
the area of the shaded region=(2/3)*[113.10-46.77]------> 44.22 units²
therefore
the answer isthe area of the shaded region is 44.22 units²