Answer:
a. 
b. 
Step-by-step explanation:
I attach the diagram of the new water tank.
a. In order to find the volume of the tank in cubic feet, we will need to calculate the volume of a cylinder. We know that its base measures 
and its height is 
.
The volume ''V'' of a cylinder is :
Where ''
'' is the diameter of the base and ''
'' is the height of the cylinder.
If we replace all the data in the equation :
We found out that the volume of the tank in cubic feet is
b. We know that 1 cubic foot of water is equal to 7.5 gallons. To find the amount of gallons that the new tank can hold, we need to do an unit conversion.
This equivalence is given to us :
⇒ Using the equivalence ⇒
Finally, the new tank will hold of water.
Answer:
2(3y-2)
Step-by-step explanation:
Collect like terms
6y-4
Simple terms
2(3y-2)
Answer:
27% i think
Step-by-step explanation:
Well if they ate a total of 14 bananas and each banana is 105 calories, that means that you have to multiply 105 calories by 14 bananas. The answer is 1470 calories.
<h3>
Answer: 80 meters</h3>
This is an isosceles triangle. The dashed line is the height which is perpendicular to the base 120. The height is always perpendicular to the base. The dashed line cuts the base into two equal pieces (this only works for isosceles triangles when you cut at the vertex like this).
So we have two smaller triangles each with a base of 60 and a height of x. Focus on one of the right triangles and use the pythagorean theorem to solve for x.
a^2 + b^2 = c^2
x^2 + (60)^2 = (100)^2
x^2 + 3600 = 10000
x^2 = 10000 - 3600
x^2 = 6400
x = sqrt(6400)
x = 80
Each smaller right triangle has side lengths of 60, 80, 100
Note the ratio 60:80:100 reduces to 3:4:5. A 3-4-5 right triangle is a very common pythagorean primitive.
