Answer:
Sara read 17 more
Step-by-step explanation:
81-64=17
64+17=84
Answer:
= 5![(-2)^{n-1}](https://tex.z-dn.net/?f=%28-2%29%5E%7Bn-1%7D)
Step-by-step explanation:
The recursive rule for a geometric sequence is
= a![(r)^{n-1}](https://tex.z-dn.net/?f=%28r%29%5E%7Bn-1%7D)
where a is the first term and r the common ration
Here
r = - 10 ÷ 5 = 20 ÷ - 10 = - 2 and a = 5, thus
= 5![(-2)^{n-1}](https://tex.z-dn.net/?f=%28-2%29%5E%7Bn-1%7D)
Answer:
Step One
Calculate the area of both the skating area and the spectator area.
Area = L * W
L = 4x
W = 4x
Area = 4x * 4x
Area = 16x^2
Step Two.
Find the radius of the semicircle. R = radius
From the diagram
R = The full length - the length given in the red shaded area.
R = 4x - 2x
R = 2x
Step Three
Find the area of the semicircle.
Area of a full circle = pi R^2
Area of a 1/2 circle = ![\frac{\pi *(2x)^2}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%2A%282x%29%5E2%7D%7B2%7D)
Area of a 1/2 circle = ![\frac{\pi *4*x^2}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%2A4%2Ax%5E2%7D%7B2%7D)
Area of a 1/2 circle = ![\frac{\pi *2*x^2}{}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%2A2%2Ax%5E2%7D%7B%7D)
Notice that the 2 in the denominator cancels in part with the 4 in the numerator.
Step Four
Find the area of the shaded area
Area of the shaded Area = Whole Area - Area of the Semi Circle.
Area of the shaded Area = 16x² - ![\frac{\pi *2*x^2}{}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%2A2%2Ax%5E2%7D%7B%7D)
The answer is the upper right corner choice I think
Answer:
x = 11
Step-by-step explanation:
The relationship between the sine and cosine functions can be written as ...
sin(x) = cos(90 -x)
sin(A) = cos(90 -A) = cos(B) . . . . substituting the given values
Equating arguments of the cosine function, we have ...
90 -(3x+4) = 8x -35
86 -3x = 8x -35
86 +35 = 8x +3x . . . . . add 3x+35 to both sides
121 = 11x . . . . . . . . . . . . collect terms
121/11 = x = 11 . . . . . . . . divide by 11
_____
<em>Comment on the solution</em>
There are other applicable relationships between sine and cosine as well. The result is that there are many solutions to this equation. One set is ...
11 +(32 8/11)k . . . for any integer k
Another set is ...
61.8 +72k . . . . . for any integer k