Answer:
C. 82.43
Step-by-step explanation:
acb's angle is 315 degrees because
360 - 45 = 315
arc length is in radians
arc length is radius times (angle times (pi÷180))
arc length is 15 times (315 times (pi÷180))
arc length is 82.43
cuemathcomgeometry
Well the displacement of milage from the 2 places if 75km however, the women and her car are in the same place so there is no displacement. But 75km is the correct mathematical answer.
3.14(radius)squared(height)(3)
3.14(9)(8)(3)
3.14(72)(3)
3.14(216)
678.24
I believe the correct answer is A.
Answer:
![85in^2](https://tex.z-dn.net/?f=85in%5E2)
Step-by-step explanation:
to find the surface area we need to find the followng areas:
- area of a triangle and multiply it by 4 (because there are 4 triangles)
And once we have those areas, we add them to find the surface area.
Area of the square:
the formula to find the area of a square is:
![a_{square}=l^2](https://tex.z-dn.net/?f=a_%7Bsquare%7D%3Dl%5E2)
where
is the length of the side: ![l=5in](https://tex.z-dn.net/?f=l%3D5in)
thus the area of the square is:
![a_{square}=(5in)^2](https://tex.z-dn.net/?f=a_%7Bsquare%7D%3D%285in%29%5E2)
![a_{square}=25in^2](https://tex.z-dn.net/?f=a_%7Bsquare%7D%3D25in%5E2)
Area of the triangles:
the are of 1 triangle is given by
![a_{triangle} =\frac{b*h}{2}](https://tex.z-dn.net/?f=a_%7Btriangle%7D%20%3D%5Cfrac%7Bb%2Ah%7D%7B2%7D)
where
is the base of the triangle:
(the base of the triangle is the side of the square)
and
is the height of the triangle: ![h=6in](https://tex.z-dn.net/?f=h%3D6in)
thus, the area of 1 triangle is:
![a_{triangle} =\frac{(5in)*(6in)}{2}](https://tex.z-dn.net/?f=a_%7Btriangle%7D%20%3D%5Cfrac%7B%285in%29%2A%286in%29%7D%7B2%7D)
![a_{triangle} =\frac{30in^2}{2}](https://tex.z-dn.net/?f=a_%7Btriangle%7D%20%3D%5Cfrac%7B30in%5E2%7D%7B2%7D)
![a_{triangle} =15in^2](https://tex.z-dn.net/?f=a_%7Btriangle%7D%20%3D15in%5E2)
the area of the 4 triangles is (we multiply by 4):
![a_{4-triangles}=4(15in^2)](https://tex.z-dn.net/?f=a_%7B4-triangles%7D%3D4%2815in%5E2%29)
![a_{4-triangles}=60in^2](https://tex.z-dn.net/?f=a_%7B4-triangles%7D%3D60in%5E2)
finally we add the area of the square and the area of the 4 triangles to find the total surface area:
![Surface=25in^2+60in^2](https://tex.z-dn.net/?f=Surface%3D25in%5E2%2B60in%5E2)
![Surface=85in^2](https://tex.z-dn.net/?f=Surface%3D85in%5E2)