Answer:
64978256+8734965+709685+1 = 74,422,907
The answer is 3.75.
Since the length of 'b' is one-half that of 7.5 based on the diagram (we know this because the partial radii connecting the two lines, or chords, are the same length, meaning the two chords are equal);
<u>7.5</u> ⇒ 3.75<u>
</u> 2
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</u><em>Hope that helps.</em><u>
</u>
Answer:
100
Step-by-step explanation:
10 x 10 = 100
Consecutive numbers can be written as such:
n + (n + 1) = 73
Open the parentheses and simplify:
2n + 1 = 73
Subtract 1 from both sides:
2n = 72
Divide both sides by 2:
n = 36
The numbers are 36 and 37
vi is going in the positive direction (up). (That's my choice). a (acceleration) is going in the minus direction (down). The directions could be reversed.
Givens
vi = 160 ft/s
vf = 0 (the rocket stops at the maximum height.)
a = - 9.81 m/s
t = ????
Remark
YOu have 4 parameters between the givens and what you want to solve. Only 1 equation will relate those 4. Always always list your givens with these problems so you can pick the right equation.
Equation
a = (vf - vi)/t
Solve
- 32 = (0 - 160)/t Multiply both sides by t
-32 * t = - 160 Divide by -32
t = - 160/-32
t = 5
You will also need to solve for the height to answer part B
t = 5
vi = 160 m/s
a = - 32
d = ???
d = vi*t + 1/2 a t^2
d = 160*5 + 1/2 * - 32 * 5^2
d = 800 - 400
d = 400 feet
Part B
You are at the maximum height. vi is 0 this time because you are starting to descend.
vi = 0
a = 32 m/s^2
d = 400 feet
t = ??
formula
d = vi*t + 1/2 a t^2
400 = 0 + 1/2 * 32 * t^2
400 = 16 * t^2
400/16 = t^2
t^2 = 25
t = 5 sec
The free fall takes the same amount of time to come down as it did to go up. Sort of an amazing result.
