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posledela
3 years ago
13

the formula for the volume of a cylinder is v = πr2h. the volume of a cylinder is three times the volume of a cone with the same

radius and height. if the volume of a cone with the same height as a cylinder equals the volume of the cylinder, the equation for the radius of cone r in terms of the radius of cylinder r is
Mathematics
1 answer:
Readme [11.4K]3 years ago
7 0
Let R be radius of cylinder and r the radius of cone.
πR^2h = 1/3πr^2h
R^2 = 1/3r^2
r^2 = 3R^2
r = sqrt(3) x R
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Colton has 32 blue marbles and 24 white marbles. If he wants to put them in identical groups without any left over, what is the
Alja [10]
The awnser is 50 because 32 divided by 47 is 50
8 0
3 years ago
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A class survey in a large class for first-year college students asked, “About how many minutes do you study on a typical weeknig
Anika [276]

Answer:  (110.22, 125.78)

Step-by-step explanation:

The confidence interval for the population mean is given by :-

\mu\ \pm z_{\alpha/2}\times\dfrac{\sigma}{\sqrt{n}}

Given : Sample size = 463

\mu=118\text{ minutes}

\sigma=65\text{ minutes}

Significance level : \alpha=1-0.99=0.01

Critical value : z_{\alpha/2}=z_{0.005}=\pm2.576

We assume that the population is normally distributed.

Now, the 90% confidence interval for the population mean will be :-

118\ \pm\ 2.576\times\dfrac{65}{\sqrt{463}} \\\\\approx118\pm7.78=(118-7.78\ ,\ 118+7.78)=(110.22,\ 125.78)

Hence, 99% confidence interval for the mean study time of all first-year students = (110.22, 125.78)

3 0
3 years ago
Find an equation of the line that passes through the given point and has the indicated slope m.
Darina [25.2K]

Answer:

y = -5.5

Step-by-step explanation:

The only lines that have a slope of 0 are horizontal lines. Horizontal lines are always in the form y = c where c is a constant. Basically, on a horizontal line, no matter what x is, y will always be the constant c. Therefore, the x coordinate of our given point does not matter and we only have to look a the y-coordinate, which is -5.5. Therefore, the equation is y = -5.5.

3 0
3 years ago
Nicole sold 1 cherry pie and 9 pumpkin pies for $60. Lisa sold 11 cheery pies and 4 pumpkin pies for $90. what's the cost each o
zubka84 [21]
X= cost per cherry pie
y= cost per pumpkin pie

NICOLE
1x + 9y= $60

LISA
11x + 4y= $90


STEP 1
multiply Nicole's equation by -11

-11(1x + 9y)= -11($60)
multiply -11 by all terms

(-11 * x) + (-11 * 9y)= (-11 * 60)

-11x - 99y= -660


STEP 2
add Nicole's new equation from step 1 to Lisa's equation to solve for y (using the elimination method)

-11x - 99y= -660
11x + 4y= 90
the x terms "cancel out"

-95y= -570
divide both sides by -95

y= $6 per pumpkin pie


STEP 3
substitute y value into either original equation to solve for x

x + 9y= $60

x + 9(6)= 60

x + 54= 60
subtract 54 from both sides

x= $6 per cherry pie


CHECK
11x + 4y= $90
11(6) + 4(6)= 90
66 + 24= 90
90= 90


ANSWER: Each cherry pie costs $6 and each pumpkin pie costs $6.

Hope this helps! :)
3 0
3 years ago
7. Solve for b.<br> b<br> 26°
Genrish500 [490]

Answer:

64°

Step-by-step explanation:

We know that a right angle is 90°

so we do 90° - 26° = 64°

6 0
2 years ago
Read 2 more answers
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