Answer: yeah gas is v important
D. angle A and B are the same angle
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.
Answer:
x = 3
Step-by-step explanation:
For this problem, it's important to understand what an angle bisector is. An angle bisector is simply a line that splits an angle into two equal portions. In this problem, <ATS is bisected by TR which gives us <ATR = <RTS = 1/2 <ATS.
Let's use this information to solve our equation to find x.
m<RTS = 1/2 m<ATS
17x - 5 = (1/2) (28x + 8)
17x - 5 = (1/2)(28x) + (1/2)(8)
17x - 5 = 14x + 4
17x - 14x - 5 = 14x - 14x + 4
3x - 5 = 4
3x - 5 + 5 = 4 + 5
3x = 9
3x * 1/3 = 9 * 1/3
x = 3
Hence, we have found the value of x to be 3.
Cheers.
Answer
A little over 16.
Step-by-step explanation:
If you convert 5 liters to milli-liters, you get 5,000. You then divide 5,000 by 300 and get 16.67.
Hope this helps!