Work<span> is done when a force that is applied to an object moves that object. The </span>work<span> is calculated by multiplying the force by the amount of movement of an object. Force is mass times acceleration. The problem says the system is at constant velocity therefore acceleration is zero. Thus, work done would be zero as well.
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Answer:
B: 30 and 60
Step-by-step explanation:
First, let's set up an equation. Since the two angles are complementary, we can write the equation like this:
2p + p = 90
Now, let's solve it!
2p + p = 90
Combine like terms:
3p = 90
Divide each side by 3 to isolate p:
3p/3 = 90/3
<u>p = 30</u>
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Now that we know how many degrees one of our angles is, we can subtract that from 90 to get both of the complementary angles.
90 - 30 = <u>60</u>
Therefore, the two angles that are complementary in this case are <u>30</u> and <u>60 degrees</u>.
Answer:
50
Step-by-step explanation:
let the number be x
15% of x= 0.15x
0.15x=30
(divide both sides by 0.15)
x= 200
25% of 200 = 25/100 *200
= 50
Let the number of marbles be M,
then,
M=6a+4 (when shared among 6 students)
M=7b+4 (when shared among 7 students)
M=8a+4 (when shared among 8 students)
thus
M-4=6a
M-4=7b
M-4=8c
That is M-4 is the smallest number which is a multiple of 6, 7 and 8
Thus we need to find the LCM(6, 7, 8)
LCM(6, 7, 8)=LCM(2*3, 7, 2*2*2) = 2*2*2*3*7=8*21=168
The smallest M-4 is 168,
so the smallest M is 168+4=172
Answer: 172
Answer:16
Step-by-step explanation:8 times 2