Answer:
The rate of plane in still air is 834 km/hr and the rate of wind is 80 km/hr.
Step-by-step explanation:
The airplane travels 6032 km in 8 hours against the wind.
So, 
........ (1) {Where u is the speed of plane in still air and v is the wind speed}
Again, the airplane travels 7312 km in 8 hours with the wind.
So, 
........ (2)
Now, adding equations (1) and (2) we get,
2u = 1668
⇒ u = 834 km per hour.
So, from equation (1), we get
v = u - 754 = 834 - 754 = 80 km per hour.
Therefore, the rate of the plane in still air is 834 km/hr and the rate of wind is 80 km/hr. (Answer)
Answer:
672 students
Step-by-step explanation:
To find the answer you would first need to find how many people out of the 75 middle school students didn't prefer apples. Since 67 out of 75 students liked apples we can only assume the other 8 students didn't prefer apples. We will then divide 8 by 75 to get the percentage. This will give us the percentage .106. Next multiply 6,300 by .106 and we get 672.
You get 5/10, or simplified as 1/2.
The slope formula is rise over run, or Y(1)-Y(2)/X(1)-X(2), which becomes 5-0/14-4. That then simplifies to 5/10, or 1/2
The side length of the square base is 18 inches and the height of the pyramid is 9 inches.
Step-by-step explanation:
Step 1:
The volume of a square pyramid is calculated by multiplying the square of the base edge with the height of the pyramid and 
.
The volume of a square pyramid, 
Step 2:
From the given diagram, the base edge is the length of the four base edges which is x inches in this pyramid. a = x inches.
The height of the pyramid is from the base to the top, h = 
inches .
The volume of a square pyramid, 
Substituting the known values, we get
![x^{3} = 6(972) = 5,832. x = \sqrt[3]{5,832} = 18.](https://tex.z-dn.net/?f=x%5E%7B3%7D%20%3D%206%28972%29%20%3D%205%2C832.%20x%20%3D%20%5Csqrt%5B3%5D%7B5%2C832%7D%20%3D%2018.)
So x is 18 inches long.
The side length 
inches.
The height of the pyramid 
inches.
