Answer: C
Work:
1) Change the Mixed number into an improper fraction
3 x 8 = 24
1+24 = 25/3
2) Get both fractions on equal terms. Find the Greatest Common Denominator. In this case, it’s 24. Multiply by what you need to get 24. 8x3=24 and 12x2=24
3) Multiply Accordingly
25/8 x 3 = 75/24
7/12 x 2 = 14/24
4) Subtract and change back to Mixed Number
75-14 = 61
61/24 = 2 13/24
Greater than or equal to 8
1/2(5x + 12) = 2x - 3
5/2 x + 6 = 2x - 3
5/2 x - 2x = -3 - 6 = -9
5x = 2 x -9 = -18
x = -18/5
Answer:
The lateral surface area of the triangular prism is 379.5sq units
Step-by-step explanation:
The side lengths of the base of the triangular prism are 5 meters, 8 meters, and 10 meters.
It is given that the height of the prism is 16.5 meters.
To determine the lateral surface area of the prism, let us use the formula
where a, b,c are the side lengths of the base of the triangular prism and h is the height of the prism.
Here and
Substituting these values in the formula, we have,
Simplifying, we get,
Multiplying, we get,
Thus, the lateral surface area of the triangular prism is
