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Vitek1552 [10]
3 years ago
7

Find the slant height l of the cone. 3. S = 1127 ft? 8 ft

Mathematics
1 answer:
pishuonlain [190]3 years ago
5 0

Answer:

l = 14 ft

Step-by-step explanation:

S = 112π ft²

πrl = 112π

π*8*l = 112π

l=\frac{112*\pi}{\pi*8}\\\\l=\frac{112}{8}\\\\

l = 14 ft

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Given that the two triangles are similar, solve for x if AU = 20x + 108, UB = 273, BC = 703, UV = 444, AV = 372 and AC = 589.
skelet666 [1.2K]
Data:

<span>segment AU = 20x + 108,
segment UB = 273,
segment BC = 703,
segment UV = 444,
segment AV = 372 and
segment AC = 589.

From the figure:

1) Similarity => segment AB / segment BC = segment AU / segment UV

2) segment AB = segment AU + segment UB = 20x + 108 + 273 = 20x + 381

=> (20x + 381) / 703 = (20x + 108) / 444

=> 444 (20x + 381) = 703 (20x + 108)

=> 8880x + 169164 = 14060x + 75924

=> 14060x - 8880x = 169164 - 75924

=> 5180 x = 93240

=> x = 93240 / 5180

=> x = 18

Answer: x = 18
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