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Aleks04 [339]
3 years ago
13

A stockpile of dirt is being stored at a construction site. The dirt is roughly shaped like a cone with a height of 45ft and a d

iameter of 60ft. What is the estimated volume of the dirt pile?
A. 42,390
B. 127,110
C. 1,400
D. 380,000
Mathematics
2 answers:
Sedbober [7]3 years ago
8 0
A. 42,390 is the correct answer.
I hope the this helps, if you have any questions don’t be afraid to contact me! ;)
EleoNora [17]3 years ago
5 0

Answer:

A.

Step-by-step explanation:

The formula for the volume of a cone is V=\frac{1}{3} h\pi r^2

Where h is the height and r is the radius.

In this case, h = 45 ft and r = 60 /2 = 30.

V =\frac{1}{3} *45\pi *30^2\\V = 42411

The answer closest to this is A: 42,390.

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What is the slope of a line perpendicular to the line whose equations is x-y=6
belka [17]

Answer:

m = -1

Step-by-step explanation:

First write the line in slope intercept form y = mx+b where m is the slope and b is the y intercept

x-y = 6

subtract x from each side

-y = -x+6

Multiply each side by -1

y = x-6

The slope is 1

Perpendicular lines have slopes that multiply to -1

m * 1 = -1

m = -1

The slope of the perpendicular line is -1

6 0
3 years ago
The points (4, 1) and (x, -6) lie on the same line. If the slope of the line is 1 what is the value of x?
Nana76 [90]

Answer:

The value of x is -3

Step-by-step explanation:

* Lets explain how to solve the problem

- The slope of a line that passes through points (x1 , y1) and (x2 , y2) is

  m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

* Lets solve the problem

∵ The points (4 , 1) and (x , -6) lie on the same line

∵ The slope of the line is 1

- Let the point (4 , 1) is (x1 , y1) and the point (x , -6) ix (x2 , y2)

∵ x1 = 4 , x2 = x and y1 = 1 , y2 = -6

∴ m=\frac{x-4}{-6-1}

∴ m=\frac{x-4}{-7}

∵ The slope of the line is m = 1

∴ \frac{x-4}{-7}=1

- By using cross multiplication

∴ x - 4 = -7 ⇒ add 4 to both sides

∴ x = -3

* The value of x is -3

4 0
4 years ago
Calculate the slope given these two points (7,4) and (9,7)
34kurt

Answer:

3/2

Step-by-step explanation:

slope formula:\frac{y2-y1}{x2-x1}

where y2= 7

y1=4

x2=9

x1=7

so

\frac{7-4}{9-7}

3/2

Hope this helps!

8 0
4 years ago
julie will build a rectangular pen for her dog against a barn. A wall from the barn will from one side of the pen. She has 32m o
Scorpion4ik [409]
The answer is 8 m by 16 m. I just answered this on my quiz.
5 0
4 years ago
Read 2 more answers
.........don't mind this I put this up by accident
JulijaS [17]

Answer:

Really?

Step-by-step explanation:

Ok....................

5 0
3 years ago
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