Answer:
27
Step-by-step explanation:
The answer is 27, because 9 x 3 = 27 and the smallest number that is the same is 27.
Hope this helps!
Angle θ between two vectors is given by,

; where

;

and

.
Therefore,
Answer:
9.1 minutes.
Step-by-step explanation:
Let t represent time taken to fill the tank.
We have been given that a cold water faucet can fill a sink in 12 min, so the part of sink filed in 1 minute would be
.
The hot-water faucet can fill it in 15 min, so the part of sink filed in 1 minute would be
.
The drain can empty the sink in 25 min, so the part of drain emptied in 1 minute would be
.
The part of 1 full tank filled in t minutes, when both faucets are on and the drain is open would be:

Make a common denominator:









Therefore, it will take 9.1 minutes to fill the sink.
Answer:
8:9
Step-by-step explanation:
ratio of areas = (ratio of sides)²
64/81 = (ratio of sides)²
Square root both sides
8/9 = ratio of sides