Answer:
9
Step-by-step explanation:
2n+4=22
2n=18
n=9
$11,000 because 10 percent would be that you use extra per one
Answer: B. 5/13
This is the same as writing ![\frac{5}{13}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B13%7D)
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Reason:
We have two given sides of this right triangle. Use the pythagorean theorem to find the missing side.
a = 5 and b = 12 are the two known legs; c is the unknown hypotenuse
![a^2+b^2 = c^2\\\\c = \sqrt{a^2+b^2}\\\\c = \sqrt{5^2+12^2}\\\\c = \sqrt{25+144}\\\\c = \sqrt{169}\\\\c = 13\\\\](https://tex.z-dn.net/?f=a%5E2%2Bb%5E2%20%3D%20c%5E2%5C%5C%5C%5Cc%20%3D%20%5Csqrt%7Ba%5E2%2Bb%5E2%7D%5C%5C%5C%5Cc%20%3D%20%5Csqrt%7B5%5E2%2B12%5E2%7D%5C%5C%5C%5Cc%20%3D%20%5Csqrt%7B25%2B144%7D%5C%5C%5C%5Cc%20%3D%20%5Csqrt%7B169%7D%5C%5C%5C%5Cc%20%3D%2013%5C%5C%5C%5C)
The hypotenuse is exactly 13 units long. This is a 5-12-13 right triangle.
Now we can compute sine of theta
![\sin(\text{angle}) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(\theta) = \frac{5}{13}\\\\](https://tex.z-dn.net/?f=%5Csin%28%5Ctext%7Bangle%7D%29%20%3D%20%5Cfrac%7B%5Ctext%7Bopposite%7D%7D%7B%5Ctext%7Bhypotenuse%7D%7D%5C%5C%5C%5C%5Csin%28%5Ctheta%29%20%3D%20%5Cfrac%7B5%7D%7B13%7D%5C%5C%5C%5C)
This points us to choice B as the final answer.
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Extra Info (optional)
- 5/12 is the value of tan(theta) since it's opposite/adjacent
- 12/5 is the value of cot(theta), the reciprocal of tangent
- 12/13 is the value of cos(theta), because cos = adjacent/hypotenuse
1,344 square feet / 250 square feet = 5.376 cans of paint
Answer:
80 square units
Step-by-step explanation:
I am in a rush so this might not be right but probably is