Answer:
(4) 5 m
Step-by-step explanation:
You want the length of side x of a right triangular prism with base edge lengths of 2.5 m and 2 m, and a volume of 12.5 m³.
<h3>Volume</h3>
The volume of the prism is given by the formula ...
V = Bh
where B is the area of the base:
B = 1/2bh . . . . where b and h are the leg dimensions of the right triangle
Using these formulas together, we have ...
V = 1/2(2.5 m)(2 m)x
12.5 m³ = 2.5x m²
Dividing by 2.5 m², we find x to be ...
(12.5 m³)/(2.5 m²) = x = 5 m
The dimension labeled x has length 5 meters.
Answer:
3a^2+12a-7
Step-by-step explanation:
Answer:
The length of the call that would cost the same with both cards is 5 minutes.
Step-by-step explanation:
Hi there!
The cost with card A can be expressed as follows:
cost A = 30 + 2 · m
Where "m" is the length of the call in minutes.
In the same way, the cost of card B will be:
cost B = 10 + 6 · m
Where "m" is the length of the call in minutes.
We have to find the value of "m" for which the call would cost the same with both cards.
Then:
cost A = cost B
30 + 2 · m = 10 + 6 · m
Subtract 10 and 2 · m to both sides of the equation:
30 - 10 = 6 · m - 2 · m
20 = 4 · m
Divide by 4 both sides of the equation:
20/4 = m
5 = m
The length of the call that would cost the same with both cards is 5 minutes.
Have a nice day!
1.
8 > 1 so: a(x) = -4x + 7
a(8) = - 4(8) + 7 = - 32 + 7 = - 25
2.
-6 ≤ 1 ≤ 1 so: a(x) = 2x - x²
a(1) = 2(1) - (1)² = 2 - 1 = 1
3.
-7 ≤ -6 so: a(x) = |x - 8|
a(-7) = |-7 - 8| = |-15| = 15
4.
-6 ≤ -3 ≤ 1 so: a(x) = 2x - x²
a(-3) = 2(-3) - (-3)² = -6 - 9 = - 15
5.
-6 ≤ -¹/₂ ≤ 1 so: a(x) = 2x - x²
a(-¹/₂) = 2(-¹/₂) - (-¹/₂)² = - 1 - ¹/₄ = - 1¹/₄
6.
⁹/₄ > 1 so: a(x) = -4x + 7
a(⁹/₄) = - 4(⁹/₄) + 7 = - 9 + 7 = - 2
