<h2><u>Answer:</u></h2>
The Volume of a cylinder is calculated by the following formula (equation 1):
(1)
Where is the radius of the circle that is the base of the cylinder and the height.
If we divide equation (1) by we obtain the area of the circle, as shown in equation (2):
(2)
Now, we know the volume of the cylinder in this problem is expressed as:
(3)
And its height as:
(4)
Knowing this, let’s find the area of the base (area of a circle):
If we divide each term by the common denominator we have:
Simplifying we finally have:
>>>>> This is the expression of the area of the base
<span>In order to find the solution, we must solve for 'x' in the initial equation. What we do to one side of the equation to isolate 'x', we must do to the other. If we subtract 5x from both sides were are left with x - 2 = 3. We then add 2 to both sides to completely isolate 'x' and are left with x = 5. This is in the replacement set and is one of the provided solutions, D.</span>
You have a 1/2 (or 50 percent) chance of picking a cheese sandwich at random out of your total of 8 sandwiches, 4 out of which are cheese. Simplifying the fraction, you'd get 1/2 probability. Hope this helps!
Answer:
A
Step-by-step explanation:
For 12x^4 + 18x^2, each term has x^2 and then look at 12 and 18.
Both 12 and 18 are divisible by 6 so the greatest common factor would be 6X^2<span />