Answer: 3.675 seconds
Step-by-step explanation:
Hi, when the object hits the ground, h=0:
h=−16t^2+48.6t+37.5
0=−16t^2+48.6t+37.5
We have to apply the quadratic formula:
For: ax2+ bx + c
x =[ -b ± √b²-4ac] /2a
Replacing with the values given:
a=-16 ; b=48.6; c=37.5
x =[ -(48.6) ± √(-48.6)²-4(-16)37.5] /2(-16)
x = [ -48.6 ± √ 4,761.96] /-32
x = [ -48.6 ± 69] /-32
Positive:
x = [ -48.6 + 69] /-32 = -0.6375
Negative:
x = [ -48.6 - 69] /-32 = 3.675 seconds (seconds can't be negative)
Feel free to ask for more if needed or if you did not understand something.
A good way of doing this problem would be to use cross multiplication of ratios
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Then cross multiply
(10 girls)(270 students)=(X girls)(18 students)
2700=18x
150=x
Answer:
12
Because:
30 is to 25 as x is to 10.
As an equation: 30/25 = x/10
Do this equation by: look at image
46.
3x + y = 2x +y
X+y=y
X= 0
3x + y + 2x +y = 4x+10
2y+x= 10
Y=5