Answer:
7.09 mph
30.87 mph
Step-by-step explanation:
We are given that
![\theta=77^{\circ} 48'=77+\frac{48}{60}=77.8^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%3D77%5E%7B%5Ccirc%7D%2048%27%3D77%2B%5Cfrac%7B48%7D%7B60%7D%3D77.8%5E%7B%5Ccirc%7D)
1 degree=60 minute
The speed of boat in still water=v=31.7mph
We have to find the speed of the current and the actual speed of the motorboat.
![\theta'=90-77.8=`2.92^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%27%3D90-77.8%3D%602.92%5E%7B%5Ccirc%7D)
Speed of the current=![vsin\theta'](https://tex.z-dn.net/?f=vsin%5Ctheta%27)
Speed of the current=![31.7sin12.92=7.09 mph](https://tex.z-dn.net/?f=31.7sin12.92%3D7.09%20mph)
Actual speed of the motorboat=![vcos\theta'=31.7cos12.92=30.87mph](https://tex.z-dn.net/?f=vcos%5Ctheta%27%3D31.7cos12.92%3D30.87mph)
12÷3=4. As a result, Raul runs 4 miles. Hope it help!
Answer:
105
Step-by-step explanation:
Angles HJG and HJG form a straight line so they add to 180
< HJG + < FJG = 180
75 + <FJG = 180
<FJG = 180-75
<FJG = 105
Take 85 and multiply it by .09
we multiply by .09 instead of .9 because you have to imagine the percent is the decimal and you move it 2 places to the left, making it .09
85*.09= 7.65
Below are the choices that can be found from other sources:
A) 36 pi
<span>B) 6 pi </span>
<span>C) 27 pi </span>
<span>D) 216 pi </span>
<span>E) 48 pi
</span>
A sphere's volume is (4/3)*pi*r^3.
<span>The diameter of the balloon is 6 inches. The diameter is twice the radius. The radius is 3 inches. </span>
<span>(4/3)*pi*3^3 = 36 * pi </span>
<span>But the balloon is only 3/4 full. So </span>
<span>36 * (3/4) * pi = 27 * pi. </span>
<span>The balloon has 27 pi cubic inches of water.</span>