Use the net to find the surface area of the prism.
2 answers:
Answer:
Surface area of prism = 286 ft².
Step-by-step explanation:
Given : A prism with measurements of 5ft, 9ft, & the height of 7ft..
To find : What is the surface area of the prism .
Solution : We have given that a prism with
Length =5 ft,
Width = 9 ft .
Height = 7 ft.
Surface area of prism =
Plugging the values
Surface area of prism = 2 ( 5* 9 + 9 * 7 + 7 * 5)
Surface area of prism = 2 (45+ 63 + 35)
Surface area of prism = 2 ( 143).
Surface area of prism = 286 ft².
Therefore, Surface area of prism = 286 ft².
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Answer: x = 2, x = - 5
Explanation:
1) The given expression is not clear.
I will rewrite it using the math editor for better understanding
2) Since the bases are equal, the exponents are equal too.
=> x^2 + 5x - 4 = 2x + 6
Solve that quadratic equation step by step:
3) transpose 2x + 6 to the left side:
x^2 + 5x - 4 - 2x - 6 = 0
4) Combine like terms:
x^2 + 3x - 10 = 0
5) Factor:
(x + 5) (x - 2) = 0
6) Equal each factor to 0
x + 5 = 0 => x = - 5
x - 2 = 0 => x = 2
Those are the solutions x = - 5 and x = 2
Explanation:
1) The given expression is not clear.
I will rewrite it using the math editor for better understanding
2) Since the bases are equal, the exponents are equal too.
=> x^2 + 5x - 4 = 2x + 6
Solve that quadratic equation step by step:
3) transpose 2x + 6 to the left side:
x^2 + 5x - 4 - 2x - 6 = 0
4) Combine like terms:
x^2 + 3x - 10 = 0
5) Factor:
(x + 5) (x - 2) = 0
6) Equal each factor to 0
x + 5 = 0 => x = - 5
x - 2 = 0 => x = 2
Those are the solutions x = - 5 and x = 2