Answer:
10.9
Step-by-step explanation:
Pythagoras theorem- a² + b² = c²
Since this is a right angle with each side on the right angle's length given you can use pythagoras theorem.
7² + 8.44² = c²
= 49 + 70.56 = c²
= 119.56 = c²
∴ c = √119.56
= 10.9
Answer:
7 hours
Step-by-step explanation:
567/9 = 63
441/63 = 7
It would take him 7 hours to drive 441 miles.
Hope this helps
Answer:
- Josh's book lands first
- Ben's lands about 0.648 seconds later
Step-by-step explanation:
Using the given equation for v=60 and s=40, the height of Ben's book is ...
h(t) = -16t² +60t +40
We want to find t when h(t) = 0, so we're looking for the solution to ....
0 = -16t² +60t +40
Using the quadratic formula, we find the positive value of t to be ...
t = (-60 -√(60² -4(-16)(40)))/(2(-16)) = (15 +√385)/8 ≈ 4.3277
__
Similarly, the height of Josh's book is ...
0 = -16t² +48t +40
t = (-48 -√(48² -4(-16)(40)))/(2(-16)) = (12 +√304)/8 ≈ 3.6794
__
The time before Josh's book lands is shorter by ...
4.3277 -3.6794 ≈ 0.6482 . . . . . seconds
Josh's book reaches the ground first, by about 0.648 seconds.
Subtract 3 both sides first. R-3=ts²
next, divide both sides by t, (R-3)/t=s²
finally, take the square root of both sides
√(R-3)/t = s. 2nd choice.