|2x+3|-1<4
|2x+3|<5
1) when 2x +3 is positive
2x+3<5
2x<2
x<1 (-∞, 1)
2) when 2x+3 is negative
-(2x+3)<5
-2x-3<5
-2x<8
x>-4 (-4, ∞)
(-∞, 1)∩(-4, ∞)=(-4,1)
4*8*(3/4)=3*8=24
the volume is 24.
Answer:
Step-by-step explanation:
new length=15+x
width=19+x
then area=(15+x)×(19+x)=285+15x+19x+x²=x²+34x+285 ft²
original area=15×19=285 ft²
then 285+98=x²+34x+285
or
x²+34x-98=0
x²+34x+17²=98+17²
(x+17)²=98+289=387
x+17=√387=3√43
x=3√43-17 ft
Answer:
15.95 feets
Step-by-step explanation:
Given that:
Angle of elevation = 62°
Using trigonometric relation :
Tanθ = opposite / Adjacent
From the drawing attached :
Opposite = 30 feets
Distance between girl and lighthouse = d
Tan 62 = 30 / d
1.8807264 * d = 30
d = 30 / 1.8807264
d = 15.951283
d = 15.95 feets