Answer: 70in^2
Step-by-step explanation:
Multiply 10 times 8 ( base * height )
to find the area of the bottom figure
10*8 = 80 Now divide it by 2 since it only covers half of it.
80/2 = 40
<h3>Next Part</h3>
We multiply Base times height again.
6*10 = 60
60/2 = 30
A = 70
Answer: The speed is 22.2 mi/hr and woman is 8° north relative to the surface of the water.
Step-by-step explanation:
Since we have given that
Speed at which woman walks due west = 3 mi/hr
Speed at which ship moving due north = 22 mi/hr
Now it forms "Pythagorus theorem":
So, it becomes,
![H^2=B^2+P^2\\\\H^2=3^2+22^2\\\\H^2=9+484\\\\H^2=493\\\\H=\sqrt{493}\\H=22.20\ mi/hr](https://tex.z-dn.net/?f=H%5E2%3DB%5E2%2BP%5E2%5C%5C%5C%5CH%5E2%3D3%5E2%2B22%5E2%5C%5C%5C%5CH%5E2%3D9%2B484%5C%5C%5C%5CH%5E2%3D493%5C%5C%5C%5CH%3D%5Csqrt%7B493%7D%5C%5CH%3D22.20%5C%20mi%2Fhr)
And the direction of the woman relative to the surface of the water is given by
![\theta=\sin^{-1}x(\dfrac{3}{22.2})=7.76\approx 8^\circ](https://tex.z-dn.net/?f=%5Ctheta%3D%5Csin%5E%7B-1%7Dx%28%5Cdfrac%7B3%7D%7B22.2%7D%29%3D7.76%5Capprox%208%5E%5Ccirc)
Hence, the speed is 22.2 mi/hr and woman is 8° north relative to the surface of the water.
Add the two equations together
2x+5y+6x-5y=17-9
Combine like terms
8x=8
Divide
x=1
Plug the x value in
2(1)+5y=17
2+5y=17
5y=15
y=3
Final answer: (1,3)
Answer:
V= 64 ft^3
Step-by-step explanation:
The volume of a pyramide is given by the formula
V = 1/3 l*w*h
Given the l = 8 w = 4 and h = 6
V = 1/3 ( 8*4*6)
V = 1/3 ( 192)
V= 64 ft^3