Answer:
250
Step-by-step explanation:
create a proportion based on 10 berries to every one orange:
let 'b' = # berries
10/1 = b/25
cross-multiply to get:
b = 10(25)
b = 250
Answer:
Pipe 1 twice as fast as pipe 2.
(Pipe 1 time * Pipe 2 time) / (Pipe 1 time + Pipe 2 time) = combined time
(x * (x/2)) / (x + x/2) = 10
(x^2/2) / 1.5 x = 10
x^2 / 2 = 15 x
x^2 /2 - 15 x = 0
x = 30 (slow pipe)
x/2 = 15 (fast pipe)
So it would take 30 hours using the slow pipe only.
Step-by-step explanation:
Answer:
3√15/4
Step-by-step explanation:
sin x = 2/8
- from the trigonometric rule sin²x+cos²x = 1
- cos²x = 1-sin²x
sinx = 2/8
sin²x = (2/8)² = 2²/8² = 4/64
1- sin²x = 1-4/64 = 64 -4/64 = 60/64 = 15/16
cos x = √(15/16) = √15 /4
3 x cos x = 3 x √15/4 = 3√15/4
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