P = 4r + 3t
4r = p - 3t
r = (p - 3t)/4
Answer:
PT = 1.5 , VT = 1.5√3
Step-by-step explanation:
Given
PV = 3
With reference angle 60°
hypotenuse (h) = 3
perpendicular (p) = ?
sin 60° = p/h
√3 / 2 = p / 3
p = √3 * 3 / 2
p = 1.5√3
With reference angle 30°
hypotenuse (h) = 3
perpendicular (p) = ?
sin 30° = p/h
1/2 = p/ 3
p = 1.5
Hope it will help :)❤
Answer:
1. 8 hours 2. 12 pumps
Step-by-step explanation:
1. 80 ×10=800
there are 800 miles between abuja and lagos
800÷100=8
it will take 8 hours
2. with 3 pumps it takes 36 hours. you need to be 4 times quicker so you need 4 times more pumps.
4×3=12 pumps
You need to find the slope too.
point slope formula y - y1 = m(x - x1)
use (0, -3)
y - (-3) = 1 (x -0)
y + 3 = 1x
Multiply all terms in the first equation by 2 and all terms in the second by 3.
You should obtain:
6x + 16y = 34
-6x + 27y = 9
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43y =43, and so y = 1. Subbing 1 for y in the first eq'n, we get
3x + 8(1) = 17, or 3x = 9, or x = 3.
The solution is (3, 1).
