Answer:
f(5) = 11 and 1/3, or approx. 11.33
Step-by-step explanation:
We can divide away x in 4x/3x:
To calculate f(5), we substitute x with 5:
Answer: 11 and 1/3, or approx. 11.33
Answer:
x = 8.75, y = 8.125
Step-by-step explanation:
The triangles are similar thus the ratios of corresponding sides are equal, that is
= 
( cross- multiply )
8x = 70 ( divide both sides by 8 )
x = 8.75
And
= 
( cross- multiply )
8y = 65 ( divide both sides by 8 )
y = 8.125
Answers A and C and correct for this equation.
Answer:
3 boxes
Step-by-step explanation:
First, we need to find the area of the whole square, so we can find out how much to subtract from. We can easily do this by multiplying 16 by 16, since it is a square.
16*16=256 square feet.
Now, we just need to find the area of the circular rug, and subtract it from 256 to find the area not covered by the rug that needs to be tiled. Since the sides of the rug touch each side of the floor, than the diameter will be the same as the side length of the square. Thus, the diameter is 16.
Now we can use the equation <em>A=pir^2 </em>or <em>Area=pi*radius squared</em> to find the area of the circle. The radius is halve of the diameter, so divide 16 by 2 to get the radius, or 8. Now all we have to do is square 8 and multiply it by 3.14.
8^2=64
Now multiply.
64*3.14=200.96.
The area of the circle is 200.96, so subtract 200.96 from 256.
256-200.96=55.04.
So they will need 3 boxes to cover the area left.
Hope this helps!
The volume of the figure, using the formula v=bh, equals 8896000. Hope it helps :)
