2 figures are blank if one can be obtained from the other by a series of rotations, reflections, or trnaslations
1 answer:
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Answer:
in terms or pi
simplified
Step-by-step explanation:
To solve this, we are using the Cylinder's volume formula:
where
is the volume of the cylinder
is the radius of the cylinder
Remember that radius is half the diameter, so we can divide the diameter of our cylinder by 2 to find its radius: . Now, 9 1/2 inches is 9 and a half inches, so
.
Replacing values:
We can conclude that the volume of our cylinder is in terms of pi, or
simplified.
Adding and subtracting big polynomials like these are pretty easy. You just need to combine like terms. For example:
1.)
2.)
(The 3x^2 and the 2 stay intact while the 5xy and 7xy combine together)
All you have to do is combine the numbers that have the same powers of x and y with each other. x^2 will combine with x^2 and xy^2 wil combine with xy^2 exc. If there is no other number with the same x and y's, then you just leave it as it is in the answer.
Now with the original question, I see a -9xy^3, and thats gonna combine with the 3xy^3 in the second polynomial and the 2xy^3 in the third one.
So far we have -4xy^3, the next term is going to be a -9x^4y^3, and that's gonna combine with the 3x^4y^3 in the third one.
We now finished adding the like terms that were in the first polynomial, we will move onto the second polynomial. The first term in this one is 3xy^3, in which we already added in the first step. At this point, it doesn't look like there are any other terms that have the same x and y behind them. So we can move on and write the final answer:
(All on the same line of course)
Also, for your second question, the order does not matter in which you write the terms. I could write the 7y^4 behind the -8x^4y^4 and it would still be the same answer.
If you have any other questions let me know :) while I double check my work.
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.
__
2. Multiply both sides of the equation by the reciprocal of the coefficient of h.
__
3. Solve the circumference formula for r, then substitute the given information.
__
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."