Volume of cube = 1/3 * pi * r^2 * h
83.74 = 1/3 x 3.14 x r^2 x 5 = 5.233r^2
r^2 = 83.74/5.233 = 16
r = sqrt(16) = 4
Therefore, d = 2(4) = 8 inches.
Answer:
∠H≅∠B
GH/DJ = AB/DC
Step-by-step explanation:
Answer:
7.429 cents
Step-by-step explanation:
Given that:
Price change = $1.51 to $2.03
Period of time = 7 years
Therefore, the annual inflation rate :
Difference in price / number of years
($2.03 - $1.51) / 7
$0.52 / 7
= 0.0742857 per year
= 0.0742857 * 100 (about 7.429 cents per year)
Let's make p stand for popcorn and d for drinks. Using those variables, we can create our equations:
2p + 3d = 18.25
4p + 2d = 27.50
From this, we can use substitution or elimination to solve:
For substitution, in the second equations, we could factor out a 2, divide both sides by 2, and then move the left over 2p to the other side to isolate d to put into the first equation.
For elimination, we can multiply the first equation by -2 so that we can remove the 4p and focus on solving for d.
I'll be using elimination in this case:
-2(2p + 3d = 18.25) --> -4p - 6d = -36.50
-4p - 6d = -36.50
4p + 2d = 27.50
-4d = -9.00
d = 2.25
4p + 2 * 2.25 = 27.50
4p + 4.50 = 27.50
4p = 23.00
p = 5.75
Now let's check our answer:
2 * 5.75 + 3 * 2.25 = 18.25
11.50 + 6.75 = 18.25
18.25 = 18.25
So drinks cost $2.25 and popcorn $5.75
We are given
The largest telescope in the world is powerful enough to identify a penny that is 5 miles away
it means that
distance =5 miles
we can change it into yards
we know that
1 mile=1760 yards
we can replace 1 mile
So, distance in yards is 8800 yards..........Answer
