Same as all the other ones like this.
Since the two figures are similar . . .
-- The ratio of of their volumes is R³ .
-- The ratio of their surface areas is R² .
-- The ratio of their dimensions is R .
So R³ is 729 / 2744 .
Take the cube root of that and you'll have R .
Then square R and you'll have the ratio of their surface areas.
-6.5 which in your answer choices is a
Answer:
27 years
Step-by-step explanation:
The formula for the number of payments can be used:
N = -log(1 +0.05(1 -1000000/65000))/log(1.05) +1 = 27.03
There will be a couple thousand dollars left after the 27th payment.
The winnings will last 27 years.
Answer:
AE = CF .
Why?
BD acts as a shape bisector because it cuts the entire rectangle in half from points B and D.
Given that <u>AE is perpendicular to BD</u>, and <u>CF is perpendicular to BD</u> (which we know BD is a bisector), that means that both AE and CF are of equal length inside the rectangle.
Another way to look at it is:
AE = CF because they are technically just vertical angles, shifted and displaced in a weird way; it is a different representation of vertical angles, only distorted. <em>(Don't use this as your answer though, it needs more context. I just want to make it look easier to comprehend.)</em>
