Answer:
They would need approximately 20 gallons of paint for the water tower, so yes, 25 gallons would be enough.
Step-by-step explanation:
In order to find out if there is enough paint for the surface area of the sphere, you need to first find the radius of the object so you can determine the measure of the entire surface area. Since they give us the volume, we can use that to solve for the radius using the volume formula: V = πr³ or 66840.28 = πr³. Using inverse operations, you can first multiply both sides of the equation by the reciprocal of 4/3 or 3/4, then divide by π, this gives you 15,965 = r³. In order to find 'r', take the cube root of both sides: ∛15965 = ∛r³ or r ≈ 25.
Now that you know radius = 25, you can use the formula for surface area: SA = 4πr² or 4π(25)² ≈ 7850 ft². Since one gallon of paint covers 400 square feet, we can take our total and divide by 400 to find the number of gallons: 7850 ÷ 400 ≈ 19.6. In total, we would need 19.6 gallons of paint for the water tower, so if there are 25 gallons available, there is enough.
A (A right triangle with a side length of 5 and hypotenuse with length \sqrt{74})
Answer:
We have 6y² + 13y - 8. We can rewrite this as 6x² + 16x - 3x - 8. Grouping terms we get 2x(3x + 8) - (3x + 8) and since both terms have the common factor of (3x + 8) the answer is (3x + 8)(2x - 1).
Answer:
x= - 50/9
Step-by-step explanation:
multipy both equations by 12
9x+60=10
then move the constant to the right hand side and change it's sign
9x= 10 - 60
calculate difference
9x = -50
divide both sides by 9
x= - 50/9
