Answer:
B) $2508.53
Step-by-step explanation:
Please refer to the attached image for explanations
Answer: B
Step-by-step explanation:
4(x+3)+2x=6(x+2)
4x+12+2x=6x+12
6x+12=6x+12
12=12
All real solutions
5+2(3+2x)=x+3(x+1)
5+6+4x=x+3x+3
11+4x=4x+3
11=3
No solution
You will need to paint 9 faces to earn $15 in profit
good luck
Problem 1
Answers:
- Choice A) Cylinder
- Choice C) Rectangular prism
- Choice D) Rectangular pyramid
Reason:
Refer the diagram below to see how rectangular cross sections are possible. The cross sections are marked in red.
For the rectangular prism, we could have a vertical or horizontal plane. For the cylinder, only a vertical cross section is possible. On the flip side, a rectangular pyramid can only have horizontal rectangular cross sections (which are similar to the base).
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Problem 2
Answer: Approximately 73,280.62908 square feet
Explanation:
Calculate the area of the trapezoid. Ignore the small triangle for now.
A = h*(b1+b2)/2
A = 354*(266+158)/2
A = 75,048
Now calculate the area of the triangle we ignored earlier
Before we do this, we'll need to use the pythagorean theorem to find the missing horizontal piece
a^2 + b^2 = c^2
b = sqrt(c^2 - a^2)
b = sqrt(97^2 - 40^2)
b = 88.368546 which is approximate.
Now we can find the area of the small triangle
Area = base*height/2 = 88.368546*40/2 = 1,767.37092
This is to be subtracted from the area of the trapezoid we found earlier.
75,048 - 1,767.37092 = 73,280.62908
Round the result however you need to.