Answer:
The volume is 2140.98 inches³
Step-by-step explanation
The basketballs are spherical, and it is known that the volume of a sphere is
Where V is the volume of the ball and r is its radius
They tell us that the ball measures 8.8 inches wide. This means that its diameter is 8.8 inches.
It is known that the radius of a sphere is equal to half its diameter.
Therefore, the radius r of the ball is:
r = 4.4 inches.
Then, they tell us to consider that the walls of the ball are infinitely thin, which means that we should not take into account their thickness in the calculation of the volume.
We already have all the data we need, now we proceed to calculate the volume.
Where V is the volume of only one of the balls
The volume of the six balls is V = 6 * 356.83 = 2140.98 inches³
Finally the volume is 2140.98 inches³
The answers are
11. c) 7x² +5x +8 remainder 7.
12. d) 6x² -6x +3 remainder 2x.
Step-by-step explanation:
Step 1; By dividing 7x³ -2x² +3x -1 with x -1 we get the following calculations. We multiply 7x² with x-1 and get 7x³ - 7x². We subtract this from 7x³ -2x² and get 5x². Now we add this with the 3x in 7x³ -2x² +3x -1. We get 5x² +3x. We multiply x -1 with 5x and get 5x² -5x and subtract it from 5x² +3x and get 8x. We multiply the x -1 with 8 and get 8x -8. We subtract this from 8x -1 and get a remainder of 7. So the quotient is 7x² +5x +8 with a remainder of 7.
Step 2; By dividing 6
+0x³ -3x² +5x with x² +x we get the following calculations. We multiply 6x² with x² +x and get 6 +6x³. We subtract this from 6 +0x³ and get -6x³. Now we add this with the -3x² in 6 +0x³ -3x² +5x. We get -6x³ -3x². We multiply x² +x with -6x and get -6x³ -6x² and subtract it from -6x³ -3x² and get 3x². We multiply the x² +x with 3 and get 3x² +3x. We subtract this from 3x² +5x and get a remainder of 2x. So the quotient is 6x² -6x +3 with a remainder of 2x.
Answer: 22.5% chance
Step-by-step explanation:
The number of students in total is 40 and 9 kids have chosen to play tag. 9 divided by 40 is .225 then we would multiply .225 with 100 to make it a percent.
Answer:
2:45
Step-by-step explanation:
the tiny hand on the clock represents the hour while the long hand on the clock represents the minute(s).
that being said, the tiny hand is between 2 and 3-we can eliminate c and d.
look at the minute hand. it is on 9, which means 45
we can cross out 3:45 as the hour hand is not between 3 and 4.
this leaves us with 2:45
hope this helps :)
Answer:
174
Step-by-step explanation:
I divided 2438 by 14 and got 174 mph.
