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.
The GCF of 44 and 121 is 11
:)
Answer:
It rained 1.29 inches in 3 hours
Step-by-step explanation:
<u>Step 1: Make an equation for the word problem</u>
It rained 0.43 inch each hour. What was the total amount of rainfall in 3 hours
0.43n
<u>Step 2: Plug in 3 for n</u>
0.43n
0.43(3)
1.29
Answer: It rained 1.29 inches in 3 hours
Factors of 24 are (1*24), (2*12), (3*8), (4*6)
