Show Examples
=
The formula for the volume of a cylinder is V 7r²h, where r is the radius of the cylinder and his the
height of the cylinder. Rewrite the formula to solve for h in terms of r and V.
G
To solve for the height of a cylinder in terms of its radius and volume, rewrite the formula as h = V/(7r²).
To rewrite the formula to solve for h in terms of r and V, we need to isolate h on one side of the equation. The given formula is V = 7r²h. To isolate h, we divide both sides of the equation by 7r². This gives us the formula: h = V/(7r²). This formula allows us to calculate the height of a cylinder given its radius and volume.
Answer:
Step-by-step explanation:
p(q ÷ 3 - p )
p = -6
q= -3
-6(-3/3 - (-6))
-6(-1 + 6)
-6(+5)
-30
4a -4a + 3 Distributive property
0 -3 Combine like terms.
3 simplify
I really don't get how they got plus 3
Thanks again!
Answer:
Step-by-step explanation:
4a - (4a-3)
= 4a -1(4a - 3)
= 4a - 4a + 3 <--- Distributing the -1 over the parenthes
= 3 <---- ( as 4a - 4a = 0)
Answer:
78 games
Step-by-step explanation:
Think of it this way. Let's name the teams Team 1 through Team 13. Team 1 needs to have 12 games to play each other team. Once those are scheduled, Team 2 needs to have 11 games scheduled to play all the other teams (remember their game against Team 1 was already scheduled). Team 3 needs to have 10 games scheduled to play all the other teams (remember their games against Team 1 and Team 2 have already been scheduled). This patten continues until you schedule a single game between Team 12 and Team 13. So the total number of games that need to be scheduled are:
12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 78
I don't know if the concept of triangular numbers has been touched on in your class, but if so, there is a much simpler way to calculate this using the triangular number formula with n = 12. The formula is:
T = (n * (n + 1)) / 2
So in this case:
(12 * (12 + 1)) / 2 = (12 * 13) / 2 = 6 * 13 = 78
Answer:
This is correct.
Step-by-step explanation:
Answer:
Step-by-step explanation:
In this problem i will assume that the side AB is the hypotenuse
The picture in the attached figure
we know that
In a right triangle, if one angle is 45 degrees, then the other angle complementary is equal to 45 degrees too
so
In the right triangle ABC
----> by CAH (adjacent side divided by the hypotenuse)
substitute the given values
we have
substitute
Answer: 6 square root 2
Step-by-step explanation: