Answer:AB = 30 in and BC = 50 in.
We use Pythagorean theorem to solve this. Since AN is an altitude, this means that it is perpendicular to BC. This means BN and AN are the legs of one right triangle, with AB being the hypotenuse:
18²+24² = AB²
324 + 576 = AB²
900 = AB²
Take the square root of both sides:
√900 = √AB²
30 = AB
NC and AN form the legs of the other right triangle, with AC being the hypotenuse:
24²+NC² = 40²
576 + NC² = 1600
Subtract 576 from both sides:
576 + NC² - 576 = 1600 - 576
NC² = 1024
Take the square root of both sides:
√NC² = √1024
NC = 32
BC = BN + NC = 18 + 32 = 50
Step-by-step explanation:
Answer:
All of the above
Step-by-step explanation:
Answer:
15/8
Step-by-step explanation:
tan is opposite/adjacent
Answer:
9 1/2
Step-by-step explanation:
<h2>
Hello!</h2>
The answer is:
D. ![m(p)=4p-28](https://tex.z-dn.net/?f=m%28p%29%3D4p-28)
<h2>
Why?</h2>
Inversing a function consists of switching the function (name) and the variable, so, where we have the variable (m for this case) we should rewrite it as the function (p(m)), and then, isolate the function in order to know the inverse function.
So, we are given the function:
![p(m)=\frac{m}{4}+7](https://tex.z-dn.net/?f=p%28m%29%3D%5Cfrac%7Bm%7D%7B4%7D%2B7)
We know that:
![p(m)^{-1}=m(p)](https://tex.z-dn.net/?f=p%28m%29%5E%7B-1%7D%3Dm%28p%29)
Then, rewriting and calculating, we have:
![p(m)=\frac{m}{4}+7](https://tex.z-dn.net/?f=p%28m%29%3D%5Cfrac%7Bm%7D%7B4%7D%2B7)
![p=\frac{m(p)}{4}+7\\\\p-7=\frac{m(p)}{4}\\\\m(p)=(p-7)*4=4p-28](https://tex.z-dn.net/?f=p%3D%5Cfrac%7Bm%28p%29%7D%7B4%7D%2B7%5C%5C%5C%5Cp-7%3D%5Cfrac%7Bm%28p%29%7D%7B4%7D%5C%5C%5C%5Cm%28p%29%3D%28p-7%29%2A4%3D4p-28)
Hence, we have that the answer is:
D. ![m(p)=4p-28](https://tex.z-dn.net/?f=m%28p%29%3D4p-28)
Have a nice day!