( 9 + 4) 2+(5-15 / 3)
2 answers:
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The surface area of the triangular prism is: B. 72 sq. ft
<h3>Surface Area of a Triangular Prism</h3>- The surface area of a triangular prism is given by the formula: SA = bh + (s1+s2+s3)H
- Where, b is the base, h is the height, and s1+s2+s3 is the perimeter of the triangular base, H is the length of the prism.
Thus, given the triangular prism as shown in the diagram attached below, we have the following:
b = 4 ft
h = 3 ft
H = 5 ft
s1 + s2 + s3 = 3 + 4 + 5 = 12 ft
- Plug in the values
Surface area = 4×3 + (12)5 = 12 + 60 = 72
Therefore, the surface area of the triangular prism is: B. 72 sq. ft
Learn more about the surface area of triangular prism on:
Answer:
(x, y) = (-6, 0)
Step-by-step explanation:
The y-coefficients have opposite signs, so we can eliminate y-terms by multiplying both equations by a positive number and adding the results.
9 times the first equation plus 4 times the second gives ...
9(5x +4y) +4(3x -9y) = 9(-30) +4(-18)
45x +36y +12x -36y = -270 -72 . . . . eliminate parentheses
57x = -342 . . . . . collect terms
x = -6 . . . . . . . divide by the coefficient of x
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Substituting into the first equation gives ...
5(-6) +4y = -30
4y = 0 . . . . . . . . . add 30
y = 0
The solution is (x, y) = (-6, 0).
Answer:
The factors of are
.
Step-by-step explanation:
We know that:
Compute the factors of as follows:
Thus, the factors of are
.