Which of the following compositions will map the red figure onto the blue figure?
2 answers:
Point A is translated to A" by T(0, -6), since A has been shifted 6 units down
check the picture, the translated triangle is A"'B"'C"'.
clearly the angle between B"'A"' and B"A"' is 90 degrees, so we can complete the transformation by a 90° clockwise rotation or a 270° counterclockwise rotation.
from the choices given, we see that is is a 270° counterclockwise rotation.
Answer: <span>A.(o,-6). Ra,270</span>
check the picture, the translated triangle is A"'B"'C"'.
clearly the angle between B"'A"' and B"A"' is 90 degrees, so we can complete the transformation by a 90° clockwise rotation or a 270° counterclockwise rotation.
from the choices given, we see that is is a 270° counterclockwise rotation.
Answer: <span>A.(o,-6). Ra,270</span>
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Answer: 1.78 L are needed to complete the gallon and it will take 29.66 min to completely fill it
Step-by-step explanation:
The question in english is:
A gallon of water needs to be filled, in 2 liters it takes 30 minutes. How many liters do I need to complete the gallon and what is the time it takes me to fill it?
We know 1 gallon is equal to 3.78 liters:
In addition, we are told you have filled the gallon with at a rate of
.
So, if we want to know how many liters are left to completely fill the gallon, we have to sbstract the to the total amount of a gallon:
This is the amount you need to complete the gallon
On the other hand, the rate is defined as:
Isolating :
Then, if we input the we need to fill the gallon we will have the time:
This is the time you need to fill the gallon