The ratio of the surface areas of two similar solids can be computed by squaring the given ratio of the corresponding sides. For this given,
r = (5:1)^1
r = 25:1
Thus, the ratio of the surface areas of the similar solids is 25:1.
Using the permutation formula, it is found that there are 600 ways to fill the pitcher and catcher positions.
The order is important, as one player is the pitcher and the other is the catcher, hence the <em>permutation formula </em>is used to solve this question.
<h3>What is the permutation formula?</h3>
The number of possible permutations of x elements from a set of n elements is given by:
2 players are taken from a set of 25, hence the number of ways is given by:
.
More can be learned about the permutation formula at brainly.com/question/25925367
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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.
Answer:
$39.60
Step-by-step explanation:
We are finding 66 - 40%
66 less 40% = 60% of 66
60% of 66 is the price of the item now.
Convert 60% to decimal form by dividing by 100.
60%/100 = 0.60
Multiply the decimal form by 66
66 X 0.6 = 39.60
Since we are dealing with money, keep 2 decimal places, even if the last digit is 0.
The price of the item now is $39.60.
Answer:
answer is D : 2 3/8
Step-by-step explanation:
