Answer:
w = 16.875 inches
Step-by-step explanation:
Given that the ratio of the length to width in a full-size cello is approximately 8 to 3.
This will be a constant for all cellos
Using the above we can find out length if we know width and vice versa.
Here we know the length = 45 inches
Since 
BY cross multiplication we find that
8w = 3(45)
Or w = 16.875 inches
Verify:
Let us check our answer by comparing with proportion
l/w = 45/16.875 = 8/3
Hence our answer is right
Answer:
7
Step-by-step explanation:
All of these equations will be set up as: h(t) =
+v₀t + h₀ where g represents gravity, v₀ represents initial velocity, and h₀ represents initial height. When working with ft/sec, g = 32. So, -g/2 = -16
1a) Length of time to reach its maximum height means you are looking for the x-value of the vertex (aka Axis Of Symmetry).
h(t) = -16t² + 160t
AOS: x =
=
= 5
Answer: 5 sec
1b) Length of time to fall to the ground means you are looking for the x-intercept when height (y-value) = 0.
h(t) = -16t² + 160t
0 = -16t² + 160t
0 = -16t(t - 10)
0 = -16t 0 = t - 10
t = 0 t = 10
t = 0 is when it started, t = 10 is when fell to the ground.
Answer: 10 sec
2c) Same concept as 1a
h(t) = -16t² + 288t
AOS: x =
=
= 9
Answer: 9 sec
2d) Same concept as 1b
h(t) = -16t² + 288t
0 = -16t² + 288t
0 = -16t(t - 18)
0 = -16t 0 = t - 18
t = 0 t = 18
Answer: 18 sec
3e) Same concept as 1a
h(t) = -16t² + 352t
AOS: x =
=
= 11
Answer: 11 sec
3f) Same concept as 1b
h(t) = -16t² + 352t
0 = -16t² + 352t
0 = -16t(t - 22)
0 = -16t 0 = t - 22
t = 0 t = 22
Answer: 22 sec
Wow ! Let's see now . . .
Let's say the passenger train takes ' P ' hours for the trip.
Then the freight train takes ' P + 1.5 ' hours for the same distance.
The speed of the passenger train is 60, so he covers ' 60P ' miles.
The speed of the freight train is 40, to he covers ' 40(p+1.5) ' miles.
But the distances are equal !
60P = 40(P + 1.5) . . . . . There's your equation !
Eliminate parentheses on the right side:
60P = 40P + 60
Subtract 40P from each side:
20P = 60
Divide each side by 20 :
P = 3
The passenger train takes <u>3 hours</u>, and the
freight train takes (P+1.5) = <u>4.5 hours</u>.
Check:
In 3 hours, the passenger train covers (3 x 60) = 180 miles .
In 4.5 hours, the freight train covers (4.5 x 40) = 180 miles .
It works.
yay !