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Artemon [7]
3 years ago
9

The area of the base of a cylinder is 45 square inches and its height is 11 inches. A cone has the same area for its base and sa

me height. What is the volume of the cone?
Mathematics
1 answer:
Ghella [55]3 years ago
8 0

Answer:

165 in³

Step-by-step explanation:

Volume of a cone is:

V = ⅓Ah

where A is the area of the base and h is the height.

V = ⅓ (45 in²) (11 in)

V = 165 in³

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Amy and Zach each have 24 feet of fencing for their rectangular gardens. Amy makes her fence 6 feet long . Zach makes his fence
saul85 [17]

For this case we have that by definition, the area of a rectangle is given by:

A = w * l

Where:

w: Is the width of the rectangle

l: is the length of the rectangle

Each of the girls has 24 feet of fencing, that is, the perimeter is P = 2w + 2l = 24.

Amy:

l = 6 \ ft\\2w + 2 (l) = 24\\2w + 2 (6) = 24\\2w + 12 = 24\\2w = 24-12\\2w = 12\\w = 6

Thus, Amy's fence area is: A = 6 * 6 = 36 \ ft ^ 2

Zach:

l = 8 \ ft\\2w + 2l = 24\\2w + 2 (8) = 24\\2w + 16 = 24\\2w = 24-16\\2w = 8\\w = 4

Thus, the area of Zach's fence is:A = 4 * 8 = 32 \ ft ^ 2

Answer:

Amy's garden has a greater area

36 \ ft ^ 2-32 \ ft ^ 2 = 4ft ^ 2, is 4 \ ft ^ 2greater

5 0
4 years ago
Read 2 more answers
If (50)x = 1, what are the possible values of x? Explain your answer
Lelechka [254]
Than you multiplie tha 50 by 1/50 so will get 50/50 what is equal 1

hope this is understandably sure right easy 
5 0
3 years ago
Which system of linear inequalities is represented by the graph?  ax – 3y > 6 and y > 2x + 4 bx + 3y > 6 and y > 2x 
igor_vitrenko [27]

The <em><u>correct answer</u></em> is:

bx + 3y > 6 and y > 2x + 4

Explanation:

Looking at the second inequality, the y-intercept is 4 and the slope is 2.  This means the graph of the line crosses the y-axis at (0, 4) and the line goes up 2 and over 1.  Since it is greater than, this means the graph is shaded above it.  Comparing this to the graph, the line for the blue part crosses the y-axis at (0, 4) and goes up 2 and over 1.  The graph is also shaded above the line.

For the first inequality, bx+3y > 6, we want to isolate y.  To do this, we subtract bx from each side:

bx+3y-bx > 6-bx

3y > 6-bx

Divide both sides by 3:

3y/3 > 6/3 - bx/3

y > 2 - (b/3)x

This means the line for this will have a y-intercept of 2 and decrease 1 while going over 3.  The orange section does this.  Additionally, since it is greater than, the graph should be shaded above the line.  This one is, so this is the correct answer.

3 0
3 years ago
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Jack is 4 times as old as lacey. 7 years ago the sum of their age was 61. how old are they now?
BaLLatris [955]
I am guessing Jack is 51 and Lacey is 17.

7 0
3 years ago
What is the solution of log base of (2x + 3) 125 = 3?
Lelu [443]
I just had this question choose "d" hope it helps 
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4 years ago
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