Answer: B (middle option)
Congruent; a counterclockwise rotation of 90° followed by a translation
Step-by-step explanation:
Rotating the triangle 90° makes point A face the left. Translating the triangle to the right afterward (and maybe a little in some other directions) would map it onto the second triangle.
Answer:
7 1/2 minutes
Step-by-step explanation:
When the time with both faucets is a submultiple of the time with one faucet, you can use this sort of reasoning to figure the missing time.
Filling the tub in 5 minutes is equivalent to having 3 faucets open, each of which can fill the tub in 15 minutes. Since we know the cold water faucet can fill the tub in 15 minutes, the hot water faucet is equivalent to two open 15-minute faucets. That is, it can fill the tub in 15/2 = 7 1/2 minutes.
_____
Perhaps a more conventional way to approach the problem is to consider "tubs per minute." The cold faucet runs at 1/15 tubs per minute, and the two faucets together run at 1/5 tub per minute. Then the hot runs at ...
(1/5) - (1/15) = (3 -1)/15 = 2/15 . . . tubs per minute
So it will fill 2 tubs in 15 minutes, or 1 tub in 7 1/2 minutes.
Answer:
The fraction of smoothies sold were either banana or strawberry is 
Step-by-step explanation:
Given:
Of the smoothies sold yesterday at Marlins smoothie shop, 5/6 were banana and another 1/12 were strawberry.
Now, to find the fraction of the smoothies sold were either banana or strawberry.
Fraction of smoothie were of banana = 
Fraction of smoothie were of strawberry = 
Now, to get the fraction smoothies sold were either banana or strawberry by adding both the fractions of banana and strawberry:
Therefore, the fraction of smoothies sold were either banana or strawberry is
We know that
the volume one cube=(1/5)*(1/5)*(1/5)=(1/125) ft³
the volume of prism=1750*(1/125)=14 ft³
the answer is 14 ft³
Because they have the same measurements and are equal
