Answers:
- Sam's current age = 24
- The mother's current age = 48
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Explanation:
s = Sam's age right now
2s = the mother's age right now, since she is twice as old as Sam currently.
In 12 years time, Sam will be s+12 years old.
12 years ago from this current year, the mother was 2s-12 years old.
Since we're told these future and past ages line up, this means s+12 and 2s-12 are the same value
Set the expressions equal to one another and solve for s.
s+12 = 2s-12
s-2s = -12-12
-s = -24
s = 24
Sam is currently 24 years old.
His mother is currently 2s = 2*24 = 48 years old.
12 years ago, his mother was 2s-12 = 48-12 = 36 years old.
12 years from now, Sam will be s+12 = 24+12 = 36 years old.
Since we get 36 each time, this confirms we have the correct answers.
The first thing you need to do is find the radius of the semicircle. To do that you look to see that the width of the rectangle is the same as the radius. Once you have the Area of a Semicircle calculated multiply it by 3. then, we know that the other length of the rectangle is 3 diameters of a semicircle this means that you multiply the radius of 7 by 6 which gives you 42. You take the area of the rectangle (294) and subtract the area of the 3 semicircles(230.79) Which gives you the answer of 63.21cm^2
Answer:
Step-by-step explanation:
I figured this out with calculus since it's easier that way. The position function for the ball is
. The first derivative of position is velocity, so we need to find the first derivative of the position function which is
v(t) = -32t + 64
Now, where the ball is at its highest point is where the velocity is equal to 0, so setting the velocity function equal to 0 allows us to determine how many seconds it takes to get to that max height.
0 = -32t + 64 and
-64 = -32t so
t = 2 seconds. It takes 2 seconds to get to its max height. In order to determine that max height, we sub 2 in for t in the position function:
and
s(2) = 66 feet. The max height of the ball is 66 feet.
Answer:38
Step-by-step explanation:
if there were 253 children and 6 buses and f 25 children had to go by car then,
253-25=228
228/6=38