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2 years ago

Answer Choices- 522, 136, 405, 2145, 628, 1340

Mathematics

1 answer:

slega [8]2 years ago

4 0

Answer:

The answer to your question is 628 cm³

Step-by-step explanation:

Data

Cylinder Cone

Volume = 1884 cm³ Volume = ? cm³

radius = ? radius = ?

height = ? radius = ?

Process

1.- Write the formula to calculate the volume of a cylinder and a cone.

The Volume of a cylinder = πr²h

The Volume of a cone = 1/3πr²h

2.- If we observe the formula we notice that they are the same just the volume of a cone is the third part of the volume of a cone.

3.- Find the volume of a cone

Volume of the cone = 1/3(1884)

Volume fo the cone = 628 cm³

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In order to determine the number of squirrels in a conservation area, a researcher catches, and marks 114 squirrels then release

vodomira [7]

Answer:

456 squirrels

Step-by-step explanation:

We have the following formula:

N = M * C / R

Where "N" is the estimated population size, "M" is the number of individuals already tagged, "C" is the total number of those caught the second time regardless of whether or not they are tagged, and "R" is the total number of tagged recaptured individuals.

Now, replacing we have:

N = 114 * 96/24

N = 456

Therefore, there are approximately 456 squirrels in the conservation area.

5 0

3 years ago

Chen has 4 pizzas to share with his friends. If each person will eat 2/3 of a pizza,how many people can share the pizzas?

sweet-ann [11.9K]

Answer:6 people

Step-by-step explanation: divide 4 by 2/3

4 0

3 years ago

Angie and Kenny play online video games. Angie buys 1 software package and 3 months of game play. Kenny buys 1 software package

andrey2020 [161]

Answer:The cost of one month of game-play =$20

Step-by-step explanation:

Let the cost of one month of gameplay be x

Then cost of game-play bought by Angie =3x.....(1)

and Then cost of game-play bought by Kenny=4x......(2)

Cost of each software package =$50......(3)

The the total cost =240= sum of costs of software bought by both of them and game-play)=50+50+3x+4x

⇒240=100+7x.......→(by adding like terms)

⇒140=7x⇒x=20.....→( dividing both sides by 7 )

∴the cost of one month of game-play =$20

8 0

3 years ago

Read 2 more answers

What is 3 1/4 divided by 2/3 with all of the steps?

erik [133]

Answer:

4 7/8

Step-by-step explanation:

3 1/4 / 2/3

convert mixed numbers to improper fractions: 3 1/4 / 2/3

13/4 / 2/3

apply the fraction rule: a/b / c/d = a/b * d/c

= 13/4 * 3/2

multiply fractions: a/b * c/d = (a * c)/(b * d)

= (13 * 3)/(4 * 2)

multiply the numbers: 13 * 3 = 39

= 39/(4 * 2)

multiply the numbers: 4 * 2 = 8

= 39/8

convert improper fractions to mixed numbers: 39/8 = 4 7/8

= 4 7/8

5 0

3 years ago

Which explains whether or not the function represents a direct variation?

s2008m [1.1K]

Answer:

The function represents a direct variation

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a linear direct variation the line passes through the origin and the constant of proportionality k is equal to the slope m

Let

$A(0,0)$ ------> the line passes through the origin

$B(2,10)$

Find the value of k------> substitute the value of x and y

$y/x=k$ -----> $k=10/2=5$

$C(4,20)$

Find the value of k------> substitute the value of x and y

$y/x=k$ -----> $k=20/4=5$

$D(6,30)$

Find the value of k------> substitute the value of x and y

$y/x=k$ -----> $k=30/6=5$

$E(8,40)$

Find the value of k------> substitute the value of x and y

$y/x=k$ -----> $k=40/8=5$

The value of k is equal in all the points of the table and the line passes through the origin

therefore

The function represents a direct variation

the equation of the direct variation is equal to

$f(x)=5x$

4 0

3 years ago

Read 2 more answers