Answer:
r = 4/5
Step-by-step explanation:
Formula
Sum of an infinite geometric series = a / (1 - r)
Givens
Sum = 5*a
a = a
r = ?
Solution
5a = a/(1 - r) Divide both sides by a
5a/a = a / (a * (1 - r) The a's on the right cancel
5 = 1 / (1 - r) Multiply both sides by 1 - r
5*(1 - r) = 1*(1 - r)/(1 - r) The 1 - r s on the right cancel
5*(1 - r) = 1 Remove the brackets.
5 - 5r = 1 Subtract 5 from both sides
5-5 - 5r = 1 - 5 Combine
-5r = - 4 Divide by - 5
r = 4/5

When you multiply by 10, 100, or 1000, you must move the decimal place over by how many zeroes there are. Once there is no more decimals, you add 0's to the end of the number until you are done.
For example, 5.6 x 1000
1000 has 3 zeroes.
That means we need to move the decimal spot 3 times.
5.6 x 1000 = 56 x 100
We got rid of the decimal but we still have 2 zeroes left. So now we just add 2 zeroes at the end of the number.
5.6 x 1000 = 56 x 100 = 5600
I hope that helps! :)
<span>96-2r=6r-112
Add 2r to both sides
96=8r-112
Add 112 to both sides
208=8r
Divide 8 on both sides
Final Answer: 26=r</span>
Answer:
the answer is A x=1/2 and y=5/3
Step-by-step explanation:
Answer:
60cm^2
Step-by-step explanation:
use Pythagoras' theorem to find the height (attached)
24/2 = 12
h=5cm
are of a triangle = base x height /2
24 x 5 / 2 = 120/2 = 60