-- #34 is choice-C .
-- See the picture attached to this answer, for both solutions.
Answer:
The volume of the triangular prism: 59.2
The value of the concrete used is: 16*4 = $64
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached photo
My answer:
As we know that, the formula to find out the volume of the triangular prism is:
V =
when h is the height and a&b are the length of the two square edges. So we have:
- V =
*4*4*7.4 = 59.2
To find the concrete used in the ramp if the cost of concrete is $ 4.00 per cubic foot, we need to know the area of the ramp, which is:
S = 4*4 = 16
Hence, the value of the concrete used is: 16*4 = $64
Answer:
23x = -115
Step-by-step explanation:
In the substitution method, you must solve for 1 variable in 1 equation to replace it in the other equation. For the system:
2x - 7y = 4
3x + y = -17
Solving for y in the second equation:
y = -17 - 3x
Replacing y in the first equation:
2x - 7(-17 - 3x) = 4
2x + 119 + 21x = 4
23x = -115
This is the new equation after use the substitution method.
X ≥ 90 + 3x
You simplify the right side, then subtract 180 from both sides, then multiply by negative one.
We can figure this out using the explicit formula.

n represents the term we are looking for.
f(1) represents the first term in the sequence, which in this case, is 7.
d represents the common difference, which in this case, is +3.
f(n) = 7 + 3(n - 1)
f(n) = 7 + 3n - 3
f(n) = 4 + 3n
Now, we can input 214 for n and solve.
f(214) = 4 + 3(214)
f(214) = 4 + 642
f(214) = 646
The 214th term in this sequence is 646.