Answer:
Step-by-step explanation:
Problems like this require that you recognize that the denominator of the right term is a factor of the denominator of the left term. That is, you're supposed to know how to recognize and factor the difference of two squares.
Given:
radius of cone = r
height of cone = h
radius of cylinder = r
height of cylinder = h
slant height of cone = l
Solution
The lateral area (A) of a cone can be found using the formula:
where r is the radius and l is the slant height
The lateral area (A) of a cylinder can be found using the formula:
The ratio of the lateral area of the cone to the lateral area of the cylinder is:
Canceling out, we have:
Hence the Answer is option B
Answer:
Step-by-step explanation:
Here are the steps to follow when solving absolute value inequalities:
Isolate the absolute value expression on the left side of the inequality.
If the number on the other side of the inequality sign is negative, your equation either has no solution or all real numbers as solutions.
If your problem has a greater than sign (your problem now says that an absolute value is greater than a number), then set up an "or" compound inequality that looks like this:
(quantity inside absolute value) < -(number on other side)
OR
(quantity inside absolute value) > (number on other side)
The same setup is used for a ³ sign.
If your absolute value is less than a number, then set up a three-part compound inequality that looks like this:
-(number on other side) < (quantity inside absolute value) < (number on other side)
The same setup is used for a £ sign
Answer:
49 + 28 = 7(7 + 4)
Step-by-step explanation:
49 bags of soil one week
28 bags of soil the next week
49 + 28 bags of soil purchased in total
Find the GCF (Greatest Common Factor) of 49 and 28.
49/7 = 7
28/7 = 4 (GCF is 7 since it is the largest number that can divide both 49 and 28 equally)
Factor out the GCF + rewrite division above (optional for visualization)
49/7 = 7 -> 49 = 7 * 7
28/7 = 4 -> 28 = 7 * 4
49 + 28 = 7(7 + 4)
Let me know if you have any questions!
9514 1404 393
Answer:
x = 2
Step-by-step explanation:
The square of the tangent is equal to the product of the secant lengths to the near and far circle intersections.
(x +4)² = (2x -1)(2x -1 +9)
0 = (2x -1)(2x +8) -(x +4)² = (4x² +14x -8) -(x² +8x +16)
0 = 3x² +6x -24 = 3(x² +2x -8) = 3(x +4)(x -2)
This has solutions x = -4 and x = 2. Only the latter works in this geometry.
x = 2
