Answer:
Below in bold.
Step-by-step explanation:
The 2 triangles are congruent and they are both isosceles.
So m < 3 = 54 degrees. (isosceles triangle)
m < 2 = 54 degrees. (congruent triangles)
m < 1 = 180 - 2(54)
= 180 - 108
= 72 degrees. (angles in a triangle sum to 180).
m < 4 = 72 degrees. (congruent triangles),
Answer: 39 25/50
Step-by-step explanation:
0.78 ( 78% ) = 39/50
0.79 ( 79% ) = 39/50 + 1/2
25 is half of 50
39 25/50
The volume of the gallon is 6000 gallon
the rate of water flow per min is f(t)=300t^2
a] amount of water that flowed in the first 7 minutes=7/60 hours will be:
f(7)=300(7/60)^2
solving the above we get
f(7)=7/12 gallons
b] The time taken for the tank to be empty will be as follows:
amount of water that will flow out for the tank to be empty will be 6000 gallons
thus,
6000=300t^2
this can be simplified to
20=t^2
t^2-20=0
solving this we get:
t=-2√5 or 2√5
the time taken for the tank to be empty will be t=2√5 hours=5.4721 hours
The answer should be the very last option. An equation where the highest exponent of the variable (usually x) is a square (2).
