Answer:
12 in.
Step-by-step explanation:
Formula: a^2 + b^2 = c^2
This case: c^2 - a^2 = b^2
1) 15^2 + 9^2 = b^2
2) 225 - 81 = 144
3) 
= 12
Answer:
They'll reach the same population in approximately 113.24 years.
Step-by-step explanation:
Since both population grows at an exponential rate, then their population over the years can be found as:
For the city of Anvil:
For the city of Brinker:
We need to find the value of "t" that satisfies:
![\text{population brinker}(t) = \text{population anvil}(t)\\21000*(1.04)^t = 7000*(1.05)^t\\ln[21000*(1.04)^t] = ln[7000*(1.05)^t]\\ln(21000) + t*ln(1.04) = ln(7000) + t*ln(1.05)\\9.952 + t*0.039 = 8.8536 + t*0.0487\\t*0.0487 - t*0.039 = 9.952 - 8.8536\\t*0.0097 = 1.0984\\t = \frac{1.0984}{0.0097}\\t = 113.24](https://tex.z-dn.net/?f=%5Ctext%7Bpopulation%20brinker%7D%28t%29%20%3D%20%5Ctext%7Bpopulation%20anvil%7D%28t%29%5C%5C21000%2A%281.04%29%5Et%20%3D%207000%2A%281.05%29%5Et%5C%5Cln%5B21000%2A%281.04%29%5Et%5D%20%3D%20ln%5B7000%2A%281.05%29%5Et%5D%5C%5Cln%2821000%29%20%2B%20t%2Aln%281.04%29%20%3D%20ln%287000%29%20%2B%20t%2Aln%281.05%29%5C%5C9.952%20%2B%20t%2A0.039%20%3D%208.8536%20%2B%20t%2A0.0487%5C%5Ct%2A0.0487%20-%20t%2A0.039%20%3D%209.952%20-%208.8536%5C%5Ct%2A0.0097%20%3D%201.0984%5C%5Ct%20%3D%20%5Cfrac%7B1.0984%7D%7B0.0097%7D%5C%5Ct%20%3D%20113.24)
They'll reach the same population in approximately 113.24 years.
Answer:
E.200.5ft²
Step-by-step explanation:
To find the area of the composite figure we simply split it into two regular shapes, a half circle and a square, we then find the area of the two shapes individually and add them together.
Area of square = s² where s = side length
It appears the given side length is 12 so s = 12
Which means area = 12² = 144ft²
For semi circle
Area = 1/2(πr² ), where r is the radius
The side length of the square is shared with the diameter of the semi circle meaning that the diameter of the semi circle is 12
To convert to radius from diameter we simply divide by 2 so r = 12/2 = 6
We have area = 1/2(πr² ) and r = 6
So area = 1/2(π6²)
==> evaluate exponent
Area = 1/2(36π)
==> take one half of 36
Area = 18π
==> multiply 18 and π
Area = about 56.5
Finally we add the two areas together
Total area = 56.5 + 144 = 200.5ft²
Answer:
165
Step-by-step explanation:
18 x 6 = 108
19 x 3 = 57
108 + 57 = 165
:)
" · " - times
" + " - sum
n - a number
0.5n - half a number
10 · (0.5n + 6) = 8 |use distributive property
(10)(0.5n) + (10)(6) = 8
5n + 60 = 8 |substract 60 from both sides
5n = -52 |divide both sides by 5
n = -10.4
