Answer: ![m\angle R=77.2\°](https://tex.z-dn.net/?f=m%5Cangle%20R%3D77.2%5C%C2%B0)
Step-by-step explanation:
For this exercise you need to use an Inverse Trigonometric Function called "Arctangent".
By definition:
![\alpha =arctan(\frac{opposite}{adjacent})](https://tex.z-dn.net/?f=%5Calpha%20%3Darctan%28%5Cfrac%7Bopposite%7D%7Badjacent%7D%29)
You must observe carefully the triangle PQR shown in the picture attached.
In this case you can identify that:
![\alpha=m\angle R\\\\opposite=PQ=8\\\\adjacent=QR=3](https://tex.z-dn.net/?f=%5Calpha%3Dm%5Cangle%20R%5C%5C%5C%5Copposite%3DPQ%3D8%5C%5C%5C%5Cadjacent%3DQR%3D3)
Therefore, knowing those values you can substitute them into
, as following:
![m\angle R=arctan(\frac{PQ}{QR})\\\\m\angle R=arctan(\frac{8}{3})](https://tex.z-dn.net/?f=m%5Cangle%20R%3Darctan%28%5Cfrac%7BPQ%7D%7BQR%7D%29%5C%5C%5C%5Cm%5Cangle%20R%3Darctan%28%5Cfrac%7B8%7D%7B3%7D%29)
Finally, evaluating, you get that the measure of the angle R is the following:
![m\angle R=77.15\°](https://tex.z-dn.net/?f=m%5Cangle%20R%3D77.15%5C%C2%B0)
Rounding to the nearest tenth:
![m\angle R\approx77.2\°](https://tex.z-dn.net/?f=m%5Cangle%20R%5Capprox77.2%5C%C2%B0)
Answer:
![2,124\ in^{2}](https://tex.z-dn.net/?f=2%2C124%5C%20in%5E%7B2%7D)
Step-by-step explanation:
we know that
The surface area of a rectangular prism is equal to
![SA=2B+Ph](https://tex.z-dn.net/?f=SA%3D2B%2BPh)
where
B is the area of the base
P is the perimeter of the base
h is the height
In this problem we have
![B=18*24=432\ in^{2}](https://tex.z-dn.net/?f=B%3D18%2A24%3D432%5C%20in%5E%7B2%7D)
![P=2(18+24)=84\ in](https://tex.z-dn.net/?f=P%3D2%2818%2B24%29%3D84%5C%20in)
![h=15\ in](https://tex.z-dn.net/?f=h%3D15%5C%20in)
substitute
![SA=2(432)+(84)(15)=2,124\ in^{2}](https://tex.z-dn.net/?f=SA%3D2%28432%29%2B%2884%29%2815%29%3D2%2C124%5C%20in%5E%7B2%7D)
Answer:
x= 8,-18
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Answer:
Answer : 1,2,3,5,6,10,15,25,30,50,75,150, Related Links : Is 150 a rational number?
Step-by-step explanation:
The factors of 150.
-distance/length?
-line
1.Circumference is the perimeter of a circle
2. They both are the measure of the distances around each shape.