<u>Answer:</u>
The total time taken to complete 25 miles is 7.6 hours.
Solution:
Ben walks 5 miles in 1 hour,
Second 5 miles in 1.4 hours,
Third 5 miles in 1.7 hours,
Last 5 miles in 1.8 hours
So he walked total 20 miles in (1+1.4+1.7+1.8) hours = 5.9 hours = 6 hours (approximately)
So his average speed is
miles/hours = 3.33 miles/hours.
i.e. he travels 3.3 miles in 1 hour,
Then, he travels 1 miles in
hours
Hence the total time he will take to walk 25 miles is 

That is approximately 7.57 or 7.6 hours.
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.
The answer to this question is
B. (x+7)²+(y-4)²=64
I hope this helps!!!!!!!
Answer:
Answer is (√1500) /(2√15 )= 5
Step-by-step explanation:
Answer:
Yes, It is a right triangle for the given vertices.
Step-by-step explanation:
Given:
Q(7, –10),
R(–3, 0),
S(9, –8)
To Find:
determine whether is a rig ht triangle for the given vertices = ?
Solution:
QR=
QR=
QR=
QR=
--------------------------(1)
QR=14.142136
RS=
RS=
RS=
RS=
---------------------------(2)
RS=14.422205
QS=
QS=
QS=
QS=
-------------------------------------(3)
QS=2.828427
According to Pythagorean Theorem,

Substituting the values,


208 = 208
Pythagorean theorem is satisfied. Hence it is a right triangle.