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yulyashka [42]
3 years ago
13

The volume of a cone is 37x3 cubic units and its height is x units.

Mathematics
1 answer:
Alla [95]3 years ago
5 0

Answer:

  6x

Step-by-step explanation:

The formula for the volume of a cone is ...

  V = (π/3)r²h

Filling in the given values and solving for r, we find ...

  37x³ = (π/3)r²x

  (3·37/π)x² = r² . . . . . . . . divide by the coefficient of r²

  x√35.3324 ≈ r ≈ 5.94x

The closest answer choice is 6x.

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Write an equation in slope intercept form for the line that passes through (-1, -2) and (3, 4)
LenaWriter [7]

Answer:

The slope-intercept form of the line equation  is:

  • y=\:\frac{3}{2}x\:-\frac{1}{2}

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the points

  • (-1, -2)
  • (3, 4)

Determining the slope between (-1, -2) and (3, 4)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-1,\:-2\right),\:\left(x_2,\:y_2\right)=\left(3,\:4\right)

m=\frac{4-\left(-2\right)}{3-\left(-1\right)}

m=\frac{3}{2}

Thus, the slope of the line is:

m = 3/2

substituting m = 3/2 and the point (3, 4) in the slope-intercept form of the line equation

y = mx+b

4=\frac{3}{2}\left(3\right)+b

switch sides

\frac{3}{2}\left(3\right)+b=4

\frac{9}{2}+b=4

subtract 9/2 from both sides

\frac{9}{2}+b-\frac{9}{2}=4-\frac{9}{2}

b=-\frac{1}{2}

now substituting m = 3/2 and b = -1/2 in the slope-intercept form of the line equation

y = mx+b

y=\:\frac{3}{2}x\:+\:\left(-\frac{1}{2}\right)

y=\:\frac{3}{2}x\:-\frac{1}{2}

Therefore, the slope-intercept form of the line equation  is:

  • y=\:\frac{3}{2}x\:-\frac{1}{2}
8 0
3 years ago
Write x2 - 8x - 3 in vertex form.
crimeas [40]
Vertex form:

y = a(x - h)² + k

I have not learned this stuff yet, but by using online calculators, I can determine that the vertex form is:

Y = (x - 4)² - 19

I believe so :/
6 0
3 years ago
What time is 5 3/4 hours after 11:32 pm?
elixir [45]

11:32 pm + 5 hours= 4:32pm

4:32 pm + 45 minutes = 5:17 pm

3/4 hour = 45 min


6 0
3 years ago
Read 2 more answers
AHHHH please help answer and I’ll give you points
german

Answer: Yes She is correct

Step-by-step explanation:

4 0
3 years ago
Sales fall from 300 per week to 270 per week what’s the percentage change
weeeeeb [17]
Hi there! 

Your question: 

Sales fall from 300 per week to 270 per week what's the percentage change?

My answer:

The formula for calculating percent change is as follows: 

[(y2 - y1)/y1]*100=your percent change 

y2= first value 
y1=second value 

Plug the numbers in: 

[(300-270)/300]*100

[30/300]*100

0.1*100

10 

Therefore, the percent change is 10%

Hope this helps! Let me know if it's incorrect so I can fix it:)
8 0
3 years ago
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