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Vinil7 [7]
3 years ago
6

Find the volume of a frustum of a right circular cone with height 25, lower base radius 32 and top radius 15.

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
8 0
The answer is 45265 hope this helps
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A circle with radius 3 has a sector with a central angle of 1/9 pi radians
marissa [1.9K]

Complete question:

A circle with radius 3 has a sector with a central angle of 1/9 pi radians

what is the area of the sector?

Answer:

The area of the sector = \frac{\pi}{2} square units

Step-by-step explanation:

To find the area of the sector of a circle, let's use the formula:

A = \frac{1}{2} r^2 \theta

Where, A = area

r = radius = 3

\theta = \frac{1}{9}\pi

Substituting values in the formula, we have:

A = \frac{1}{2}*3^2* \frac{1}{9}\pi

A = \frac{1}{2}*9* \frac{1}{9}\pi

A = 4.5 * \frac{1}{9}\pi

A = \frac{\pi}{2}

The area of the sector = \frac{\pi}{2} square units

8 0
3 years ago
A line passes through the points (-1,-1) and (5,8) which points lie on the same line?
djverab [1.8K]

Answer: all points (x,y) that satisfy y=\frac{3}{2}x+\frac{1}{2}

Step-by-step explanation:

The slope of the line is

\frac{-1-8}{-1-5}=\frac{-9}{-6}=\frac{3}{2}

So, substituting into point-slope form, the equation is

y+1=\frac{3}{2}(x+1)\\\\y+1=\frac{3}{2}x+\frac{3}{2}\\\\y=\frac{3}{2}x+\frac{1}{2}

Therefore, all points (x,y) that satisfy y=\frac{3}{2}x+\frac{1}{2} will lie on the same line.

7 0
2 years ago
Dennis decided he wanted to go to the carnival. The carnival charges $6.00 for entry and $1.50 for each ride.
myrzilka [38]

We want to create a linear equation to model the given situation.

A) c(r) = $6.00 + $1.50*r

B) 19 rides.

We know that the carnival charges $6.00 for entry plus $1.50 for each ride.

A) With the given information we can see that if you ride for r rides, then the cost equation will be:

c(r) = $6.00 + $1.50*r

Where c(r) is the cost for going to the carnival and doing r rides.

B) If you have $35.00, then we can solve:

c(r) = $35.00 =  $6.00 + $1.50*r

Now we can solve the equation for r.

$35.00 =  $6.00 + $1.50*r

$35.00 -  $6.00 = $1.50*r

$29.00 = $1.50*r

$29.00/$1.50 = r = 19.33

Rounding to the next whole number we get: r = 19

This means that with $35.00, Dennis could go to 19 rides.

If you want to learn more, you can read:

brainly.com/question/13738061

7 0
3 years ago
Hannah got a $23,400 Unsubsidized Loan to help her pay for college but she wants to pay off the interest only while she is a stu
Radda [10]

Step-by-step explanation:

lícita; de navegar y comerciar; de peticionar a las autoridades; de entrar, permanecer, transitar y salir del territorio argentino; de publicar sus ideas por la prensa sin censura

3 0
2 years ago
The diameter of a sphere is 2,160 mm. The diameter of a second sphere is 7,520 mm. Approximately how many times larger is the vo
fgiga [73]

Answer:

Approximately 42 times larger

Step-by-step explanation:

The diameter of a sphere is 2,160 mm.

The diameter of a second sphere is 7,520 mm.

To see how many times larger is the diameter of second sphere is than the diameter of the second sphere, we divide to get:

k =  \frac{7520}{2160}

k = 3.481

To see how many times larger the volume is, we cube both sides

{k}^{3}  =  {3.481}^{3}

This implies that

{k}^{3}  = 42.181

Therefore the volume of the second sphere is approximately 42 times larger

3 0
3 years ago
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