Answer:
C. x = 12
Step-by-step explanation:
5(12) + 9 = 69 - 3(12) = 33
18 + 15 = 33
Answer:
K/(4+9b) = a
Step-by-step explanation:
K = 4a + 9ab
Factor out a on the right hand side
K = a(4 + 9b)
Divide each side by (4+9b)
K/(4+9b) = a(4 + 9b)/(4+9b)
K/(4+9b) = a
Answer:
x = 2.5 or 7.5
Step-by-step explanation:
Subtract 3/4.
|5 -x| = 10/4 = 2.5
This resolves to two equations:
- 5 -x = 2.5 ⇒ x = 5 -2.5 = 2.5
- 5 -x = -2.5 ⇒ x = 5 +2.5 = 7.5
The solutions are x = 2.5 or 7.5.
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9514 1404 393
Answer:
A. 96
Step-by-step explanation:
The surface area is the sum of the areas of the two triangular bases and the areas of the three rectangular lateral faces.
A = 2(1/2)bh + PH
where b is the base of the triangle, h is its height, P is the perimeter of the triangle, and H is the height of the prism.
A = (3 cm)(4 cm) +(3 +4 +5 cm)(7 cm) = 12 cm² +84 cm²
A = 96 cm²
The surface area of the triangular prism is 96 square cm.
