Answer:
228.4cm²
Step-by-step explanation:
Find the diagram attached
Total surface area of the prism = Ph + 2B
P is the perimeter of the base (triangle)
h is the height of the prism
B is Base area
P = 5cm + 5cm + 4cm
P = 14cm
h = 15cm
B = 1/2 * base * height
B = 1/2 * 4.6 * 4
B = 4.6 * 2
B = 9.2cm²
Substitute the values into the formula;
Total surface area of the prism = Ph + 2B
Total surface area of the prism = 14(15)+2(9.2)
Total surface area of the prism = 210 + 18.4
Total surface area of the prism = 228.4cm²
Hence the total surface area of the triangular prism is 228.4cm²
Answer:
B
Step-by-step explanation:
Since p and v vary inversely then the equation relating them is
p =
← k is the constant of variation
to find k use the condition p = 8 when v = 40
k = pv = 8 × 40 = 320
⇒ p(v) =
→ B
I think it may be 5+3 and carry the one up top to get the sum of 56.
Answer:
Answer is 
Step-by-step explanation:
To find the interval of x. Use our equations to equal each other.



Integrate.
![\frac{-x^3}{3}+x^2\\(\frac{-2^3}{3}+2^2)-[\frac{-0^3}{3}+0^2]\\-\frac{8}{3} +4-0\\-\frac{8}{3}+\frac{12}{3} =4/3](https://tex.z-dn.net/?f=%5Cfrac%7B-x%5E3%7D%7B3%7D%2Bx%5E2%5C%5C%28%5Cfrac%7B-2%5E3%7D%7B3%7D%2B2%5E2%29-%5B%5Cfrac%7B-0%5E3%7D%7B3%7D%2B0%5E2%5D%5C%5C-%5Cfrac%7B8%7D%7B3%7D%20%2B4-0%5C%5C-%5Cfrac%7B8%7D%7B3%7D%2B%5Cfrac%7B12%7D%7B3%7D%20%20%3D4%2F3)
Using Desmos I have Graphs of both of the equations you have provided. The problem asks us to find the shaded region between those curves/equations.
Proof Check your interval of x.