Answer:
16 4/5 inches
Step-by-step explanation:
We can find the amount it will grow by taking the rate it grows times the time
growth = rate* time
= 2 2/5 * 7
Changing the mixed number to an improper fraction
2 2/5 = (5*2+2)/5 = 12/5
growth = (12/5)*7
=84/5 inches
Changing this back to a mixed number
5 goes into 84 16 times (5*16 = 80 ) with 4 left over
16 4/5 inches
Since there are 1000mL/L, and we have 400 L, there are clearly more millileters than liters (Think of the sentence King Henry Dances Many dances come monday or KHDMdcm). The L (aka M or the base value) is to the left of the m (standing for mL), so to get from M or L to m we move the decimal point 4 places to the right to get from 400.0000 to 4,000,000
Profit, or the surplus money after your costs are covered, is Revenue - Costs.
so in this case the profit P(x) = R(x) - C(x).
![\bf P(x)=(135x)-(93x+35000)\implies P(x)=135x-93x-35000 \\\\\\ P(x)=42x-35000 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{selling 5000 mp3s}}{P(5000)=42(5000)-35000}\implies P(5000)=210000-35000 \\\\\\ P(5000)=175000](https://tex.z-dn.net/?f=%5Cbf%20P%28x%29%3D%28135x%29-%2893x%2B35000%29%5Cimplies%20P%28x%29%3D135x-93x-35000%0A%5C%5C%5C%5C%5C%5C%0AP%28x%29%3D42x-35000%0A%5C%5C%5C%5C%5B-0.35em%5D%0A~%5Cdotfill%5C%5C%5C%5C%0A%5Cstackrel%7B%5Ctextit%7Bselling%205000%20mp3s%7D%7D%7BP%285000%29%3D42%285000%29-35000%7D%5Cimplies%20P%285000%29%3D210000-35000%0A%5C%5C%5C%5C%5C%5C%0AP%285000%29%3D175000)
Answer: 9.97
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Explanation:
y = distance from the base of the pole to the closest person
y+200 = total horizontal distance
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Focus on the smaller right triangle.
tan(angle) = opposite/adjacent
tan(26) = 55/y
y*tan(26) = 55
y = 55/tan(26)
y = 112.76671 approximately
Make sure your calculator is in degree mode.
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Now move to the larger right triangle
tan(angle) = opposite/adjacent
tan(x) = 55/(y+200)
tan(x) = 55/(112.76671+200)
tan(x) = 55/312.76671
tan(x) = 0.17585
x = arctan(0.17585) same as 
x = 9.97349
x = 9.97 degrees approximately
<h3>
Answer: 72.54</h3>
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Explanation:
We set up a cosine ratio, since we want to connect the adjacent and hypotenuse. Then we'll use the inverse cosine, which is also known as arccosine, to isolate the angle value.
This is what your steps could look like:
cos(angle) = adjacent/hypotenuse
cos(L) = LM/LN
cos(L) = 18/60
cos(L) = 0.3
L = arccos(0.3)
L = 72.542396876278 which is approximate
L = 72.54 degrees approximately
Make sure your calculator is in degree mode.
