Answer:
5/6 × 3/7 ÷ 2/3 = 45/84
Step-by-step explanation:
5/6 × 3/7 = 15/42
5 × 3 = 15
6 × 7 = 42
15/42 ÷ 2/3
15/42 × 3/2
15 × 3 = 45
42 × 2 = 84
15/42 × 3/2 = 45/84
Answer:
The volume of the area not occupied by the tennis balls is 12.28 cubic inches.
Step-by-step explanation:
It is given that tennis balls with a diameter of 2.5in are sold in cans of three. the can is a cylinder.
Radius of ball = Radius of can = 
Height of can = 
The volume of sphere is

where, r is radius of sphere.
The volume of a tennis balls is



Volume of three tennis balls is

The volume of cylinder is

The volume of can is



The volume of the area not occupied by the tennis balls is
Volume = Volume of cylinder - Volume of three tennis balls
= 36.82 - 24.54 = 12.28 inches
Therefore, the volume of the area not occupied by the tennis balls is 12.28 cubic inches.
Y=10x-40
i hope that helps!!
Answer:
357.1573 (If you don't round)
Step-by-step explanation:
To find area of a rectangle is to multiply length by width, which in this situation would be 15 by 16.6, which is equal to 249. Next, we need to add this to the area of the semicircle. The area of a semicircle is equal to 1/2 * pi * radius^2 (Because a semicircle is half a circle and a circle's area is pi * radius^2). The radius is equal to half the diameter, which in this case is 16.6. 16.6/2 = 8.3, so the radius is 8.3. If we plug this into the equation, we get that 108.1573 is the area of the circle (If you use 3.14 as pi). 108.1573 + 249 is equal to 357.1573.
N = 5m
n = m + 36
since n is equal to both the expression in m we can say:-
5m = m + 36
4m=36
m = 9
and n = 5*9 = 45