Answer:
251.33 yd^2
Step-by-step explanation:
The formula of surface area of cylinder is A=2πrh+2πr^2.
2πrh is the lateral surface and 2πr^2 is the 2 circles.
When you plug in the numbers 2π(5)(3)+2π(5)^2=251.33 yd^2
Answer:

Step-by-step explanation:
So, we have the graph y=f(x).
And we want to find:

Remember that the inverse of a function is simply the x-values and y-values swapped. To see this, let's let our inverse equal y:

This means that we have the point:

So, to find our solution, we will swap the x- and y-coordinates. This gives us:
So, simply need to find the x-coordinate such that y is 0.
From our graph, we can see the point (6,0). In other words:

So:

And we're done!
Answer:
a. A is disjoint to B
b. A is subset of B
c. A -B
d. A union B complement
e. A intersection B complement
f. B-A complement
Answer:
-3 is a solution.
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
3 - 4r ≥ 15
<u>Step 2: Solve for </u><em><u>r</u></em>
- [Subtraction Property of Equality] Subtract 3 on both sides: -4r ≥ 12
- [Division Property of Equality] Divide -4 on both sides: r ≤ -3
<u>Step 3: Compare</u>
- Substitute in <em>r</em>: -3 ≤ -3
This is true. -3 is less than <em>or equal to</em> -3.