Answer: d
Step-by-step explanation:
Find the area of the rectangle.
Find the area of the base of the semicircle.
12 in would be the diameter, divide by 2 to get the radius.
Plug this into the formula.
Since we do not have a full circle but a semi one instead, we must divide our result by 2.
Add both areas.
180+56.52=236.52
Answers:
x = -8/5 or x = 8/5
Sum of the first ten terms where all terms are positive = 4092
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Explanation:
r = common ratio
- first term = 4
- second term = (first term)*(common ratio) = 4r
- third term = (second term)*(common ratio) = (4r)*r = 4r^2
The first three terms are: 4, 4r, 4r^2
We're given that the sequence is: 4, 5x, 16
Therefore, we have these two equations
Solve the second equation for r and you should find that r = -2 or r = 2 are the only possible solutions. If r = -2, then 5x = 4r solves to x = -8/5. If r = 2, then 5x = 4r solves to x = 8/5.
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To find the sum of the first n terms, we use this geometric series formula
Sn = a*(1 - r^n)/(1 - r)
We have
- a = 4 = first term
- r = 2, since we want all the terms to be positive
- n = 10 = number of terms to sum up
So,
Sn = a*(1 - r^n)/(1 - r)
S10 = 4*(1 - 2^10)/(1 - 2)
S10 = 4*(1 - 1024)/(-1)
S10 = 4*(-1023)/(-1)
S10 = 4092
Answer: y=54
Step-by-step explanation: so 24/4 is 6 soooo 9*6=54 ez
Answer:
the length of each side of the square are 6 cm
<h3>
Answer: 128.74 square meters</h3>
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Explanation:
The area of the garden only (ignore the circular pathway) is approximately
A = pi*r^2
A = 3.14*20^2
A = 1256
The area of the garden plus the path is approximately
A = pi*r^2
A = 3.14*21^2
A = 1384.74
Notie how I added on 1 meter to increase the radius to 21
Subtract the two circle areas to get the area of the circular ring.
1384.74 - 1256 = 128.74
The units for all of the areas mentioned are "square meters".
