Answer:
- r = 3V/(2πh²)
- h = 3V/b²
- r = 25/π cm ≈ 7.9577 cm
- w = 15 cm
Step-by-step explanation:
1. Multiply both sides of the equation by the reciprocal of the coefficient of r.
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2. Multiply both sides of the equation by the reciprocal of the coefficient of h.
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3. Solve the circumference formula for r, then substitute the given information.
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4. Solve the perimeter formula for width, the substitute the given information and do the arithmetic.
_____
In general, solving for a particular variable involves "undoing" what has been done to the variable, usually in the reverse order. In part 4, the variable W has L added and the sum is multiplied by 2. We "undo" those operations, last operation first, by dividing by 2 and subtracting L.
The properties of equality say you can do what you like to an equation as long as you do the same thing to both sides of the equation. So, when we say "divide by 2", we mean "divide both sides of the equation by 2." Likewise, "subtract L" means "subtract L from both sides of the equation."
Answer:
B
Step-by-step explanation:
the first fish tank has 100 gallons of water and 1 gallon is removed every hour which makes 100-h
the second tank has 40 gallons in it and 2 gallons are added every hour which makes 40+2h
after 20 hours the second tank will have more gallons than the first tank
this means that 40+2h would be greater than 100-h since it's also asking you "After how many hours will the first tank have less water than the second?"
15 because 3/4 is equivalent to 75% and 75% of 20 is 15.
Answer:
18.84 estimated, 6π exactly
Step-by-step explanation:
Hi!
<u>The formula for finding the circumference of a circle is 2πr:</u>
In that case, all we need to do <em>first </em>is to divide the diameter by 2, so we can substitute that into the equation.
6 ÷ 2 = 3
So we have 2π × 3 to solve.
2π × 3 = 6π
We can estimate the circumference by multiplying by 3.14.
6 × 3.14 = 18.84
(actually multiplying by π gives 18.849... which is pretty close!)
Thus, the circumference is 
.
Hope this helps!
Given the dimensions of locker box are length = 6 feet, width = 4 feet, and height = 10 feet.
Wayne wants to cover the box, so we need to find its total surface area. The box is in the shape of rectangular prism.
We know the formula for total surface area of rectangular prism is given as follows :-
T.S.A. = 2·(6 x 4 + 4 x 10 + 10 x 6) = 2·(24 + 40 + 60) = 2·(124) = 248 feet²
Surface Area = 248 squared feet
To cover the locker with waterproof covering, we needed to find the surface area of the box. As we multiplied two dimensions at a time in the formula, so the units are "squared feet".
Hence, option A is correct i.e. squared feet or ft².
