Answer:
here <em>given.</em><em>,</em>
a =5 b =6 and c=a-2(5-2=3)
putting the given value in the equation...we get..
=8*5-2*6+1*3
=40-12+3
=43-12
=31
4*5 and 7*5
20 centimeters and 35 centimeters
Perimeter= 2*(4+7)
2*11= 22cm
Answer:
x + 4
Step-by-step explanation:
We can see this because x² + 10x + 24 is divisible by x + 6, giving us the quotient of x + 4.
We can demonstrate that by simply multiplying the two binomials:
(x + 4)(x + 6)
= x² + 6x + 4x + 24
= x² + 10x + 24
Answer:
21806 basketballs are needed to fill the gym
Step-by-step explanation:
We have to find both volumes in the same units, so I will use feet for the dimensions, the volume will be in cubic feet. Each feet has 12 inches.
Volume of the gym:
The volume of the gym(rectangular base with height) is given by the multiplication of its dimensions. So
cubic inches
Volume of the basketball:
The basketball is an sphere, so its volume is

In which r is the radius, which is half the diameter.
28.5 inches in diameter, so 2.375 feet in diameter, radius of 1.1875 feet. The volume of the basketball is:
cubic inches
How many basketballs are needed to fill the gym?
This is given dividing the volume of the gym by the volume of a basketball. So
152640/7 = 21805,7
Rouding up
21806 basketballs are needed to fill the gym