Answer: There will be about 888,915 gallons of water left in the spherical tank.
First, we need to determine the volume of the tank. The volume formula for a sphere is (4/3)pi(r^3). All we have to do is input the 32 for pi and evaluate. You will have a volume of 137,189 cubic feet.
Now, multiply that by 7.5 and you will have 1,028,915 gallons of water in the tank.
Finally, just subtract the 140,000 gallons and we are at our answer.
Answer:
(–19, 55)
Step-by-step explanation:
y = –3x – 2 equation 1
5x + 2y = 15 equation 2
using equation 1 in equation 2 we have:
5x + 2(–3x – 2) = 15
5x –6x – 4 = 15
-x = 15+4
x=-19
using equation 1:
y = -3(-19)- 2
y= 57-2
y= 55
Answer:
The rigth answer is, ( 5/2 , -1 )
Step-by-step explanation:
To find the midpoint we use the respective formula:
m = ( x1 + x2 / 2 , y1 + y2 / 2 )
We replace:
m = ( 1 + 4/2 , 3 + (- 5) / 2 )
We solve:
m = ( 5/2 , -1 )
Answer:
27 inches
Step-by-step explanation:
To find the length of the diagonal, we just need to use the cosine relation of the 48° angle.
The adjacent side to the angle is the height of the canvas, and the hypotenuse formed is the diagonal of the canvas. So, we have that:
cos(48) = height / diagonal
0.6691 = 18 / diagonal
diagonal = 18 / 0.6691 = 26.9 inches
Rounding to the nearest inch, the diagonal of the canvas measures 27 inches
