Answer:
2(k + 9) = 4
Step-by-step explanation:
Use distributive property.
2 x k = 2k
2 x 9 = 18
Equation:
2k + 18 = 4
Subtract 18 from both sides
2k = -14
Divide both sides by 2
k = -7
The formula is SA =

. r is the radius and l is the slant height. In your case it would be

.
1. 20 squared + 48 squared = 2704
square root of 2704 is 52. Answer: 52 inches.
2. -18 squared + 82 squared = 6400
square root of 6400 is 80 Answer: 80 inches
The answer is B because the prices are close enough to the next dollar that it would be too high of an estimate to round up
Th long side of the plastic sheet is bent into a U shape.
Therefore the dimensions of the file holder are 8, h, and (10 - 2h) as shown in the figure.
The volume of the file holder is
V = 8*h*(10 - 2h) = 80h - 16h²
To maximize V, V'(h) = 0.
That is,
80 - 32 h = 0
h = 80/32 = 2.5 in
V''(h) = -32 guarantees that V is maximum because V'' <0.
Maximum V = 80*(2.5) - 16*(2.5)² = 100 in³
Answer: h = 2.5 in