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3 years ago

A cylinder has a volume of 72 cubic inches. What iis the volume of a cone with the same height and radius as the cylinder?

1 answer:

5 0

24, because the volume of a cone with the same radius and height of a cylinder with the same dimensions is always 1/3 the volume of the cylinder.

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For a company picnic, Kira ordered a box of fresh-baked gingerbread cookies and sugar cookies. The box included a total of 40 co

dimaraw [331]

Answer:

She ate 18 cookies

Step-by-step explanation:

If you multiply your percent which is 45% by 40 you will get your answer

0.45x40=18

5 0

3 years ago

What is the result of a dilation of scale factor 3 centered at the origin of the line 2y + 3x=10?? PLEASE HELP PLEASEEEEEEEEE

maks197457 [2]

Given:

The equation of a line is:

$2y+3x=10$

The line is dilated by factor 3.

To find:

The result of dilation.

Solution:

The equation of a line is:

$2y+3x=10$

For $x=0$ ,

$2y+3(0)=10$

$2y+0=10$

$y=\dfrac{10}{2}$

$y=5$

For $x=2$ ,

$2y+3(2)=10$

$2y+6=10$

$2y=10-6$

$2y=4$

Divide both sides by 2.

$y=\dfrac{4}{2}$

$y=2$

The given line passes through the two points A(0,5) and B(2,2).

If the line dilated by factor 3 with origin as center of dilation, then

$(x,y)\to (3x,3y)$

Using this rule, we get

$A(0,5)\to A'(3(0),3(5))$

$A(0,5)\to A'(0,15)$

Similarly,

$B(2,2)\to B'(3(2),3(2))$

$B(2,2)\to B'(6,6)$

The dilated line passes through the points A'(0,15) and B'(6,6). So, the equation of dilated line is:

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

$y-15=\dfrac{6-15}{6-0}(x-0)$

$y-15=\dfrac{-9}{6}(x)$

$y-15=\dfrac{-3}{2}x$

Multiply both sides by 2.

$2(y-15)=-3x$

$2y-30=-3x$

$2y+3x=30$

Therefore, the equation of the line after the dilation is $2y+3x=30$ .

3 0

2 years ago

The radius of a circle is 14cm. Find the radius of the circle whose area is double of the area of circle.

zepelin [54]

Answer:

14√2 cm

Step-by-step explanation:

Area of circle equation:

A = πr²

Let the radius of bigger circle is x.

We have:

π(14²)*2 = πx²

Solve for x:

x² = 2(14²)
x = √2(14²)
x = 14√2 cm

8 0

2 years ago

Read 2 more answers

Pls help 15 pts whats the value of p

Zanzabum

Answer: 1

Step-by-step explanation:

Bc 1 is match of P

7 0

3 years ago

Read 2 more answers

Can anybody help me out please

romanna [79]

Answer:

175(130)^t) < 1200

Step-by-step explanation:

The occupancy is 1200 so it must me less than 1200 (<1200)

the number of people in at any time is 100% of the people in or 1.00

and it increases by 30% or 0.30 (1.30)

And it starts with 175 people (1.75)

start people / How its increases / to the power of t / less than capacity

175 (1.30) $^{t}$ < 1200

3 0

3 years ago