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3 years ago

8

Two circular cylinders are similar. The ratio of the areas of their bases is 9:4. Find the ratio of the volumes of the similar s

olids

1 answer:

OleMash [197]3 years ago

8 0

Answer:

27 : 8

Step-by-step explanation:

Given 2 similar figures with ratio of sides a : b, then

ratio of areas = a² : b² and

ratio of volumes = a³ : b³

Here the ratio of areas = 9 : 4, thus

ratio of sides = $\sqrt{9}$ : $\sqrt{4}$ = 3 : 2

ratio of volumes = 3³ : 2³ = 27 : 8

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Plz help me i have this due in a few minutes answer asap

Drupady [299]

Answer:

I'm thinking it's D.

Step-by-step explanation:

7 0

3 years ago

Which expression is equivalent to 28(15+9) ?

Licemer1 [7]

You would use PEMDAS Parentheses, Exponents, Multiplication/Division, Addition/Subtraction. So first we would use P in PEMDAS witch is 15+9=24

Then you would use Multiplication 24 x 28 = 672

So your answer would be 672

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3 years ago

Write the equation in standard form for the circle that has a diameter with endpoints (6, -9)

nevsk [136]

Answer:

Step-by-step explanation:

By definition a diameter goes through the center of the circle. So if we find the midpoint of the diameter, we will have the h and k of the center. Then we will use one of the points ON the circle as x and y and solve for r. Here goes:

$M=(\frac{6+(-6)}{2},\frac{-9+(-9)}{2})$ to get a midpoint/center of (0, -9).

The standard form of a circle is

$(x-h)^2+(y-k)^2=r^2$

Filling in with h, k, x, and y:

$(6-0)^2+(-9-(-9))^2=r^2$ which simplifies to

$6^2+0^2=r^2$ so

$r^2=36$

Now we can write the equation of the circle:

$x^2+(y+9)^2=36$

7 0

3 years ago

Read 2 more answers

A farmer has a tractor with a length of 25 ft. If his grandson has a 1:8 scale replica pedal tractor, what is the length of the

Andrei [34K]

The length of the toy tractor is 3.125ft

Data Given;

length = 25ft
ratio = 1:8

To solve this question, we need to find the length of the tractor using ratios.

<h3>What is Ratio</h3>

This is the proportion of a substance to the entire value of that substance.

If the length of the tractor is 25 ft, then the length of the toy tractor can be found when we divide 25 by 8.

$l = 25/8 = 3.125ft$

The length of the toy tractor is 3.125ft.

Learn more on ratio here;

brainly.com/question/1781657

5 0

2 years ago

Write an equation for an ellipse centered at the origin, which has foci at (\pm5,0)(±5,0)(, plus minus, 5, comma, 0, )and vertic

Virty [35]

Answer:

The equation of ellipse is

$\frac{x^2}{41}+\frac{y^2}{16}=1$

Step-by-step explanation:

The equation of an ellipse is

$\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1$

where(h,k) is the center and c is distance from the center to the foci is given by $a^2-b^2=c^2$ . a is the distance from the center to the vertices and b is the distance from the center to the co-vertices.

The center of the ellipse is the mid-point of the vertices.

The mid point of the vertices $(\pm\sqrt{41},0)$ is

= $(\frac{\sqrt{41}+(-\sqr{41})}2,\frac{0+0}2)$

=(0,0)

a is the distance between the center and the vertices.

So, $a=\sqrt{(0-\sqrt{41})^2+(0-0)^2}$

$=\sqrt{41}$

c is the distance between the center and the foci.

So, $c=\sqrt{(0-5)^2+(0-0)^2$

=5

$a^2-b^2=c^2$

$\Rightarrow (\sqrt41)^2-b^2=5^2$

$\Rightarrow b^2=(\sqrt41)^2- 5^2$

$\Rightarrow b^2=41-25$

$\Rightarrow b^2=16$

The equation of ellipse is

$\frac{(x-0)^2}{(\sqrt{41})^2}+\frac{(y-0)^2}{16}=1$

$\Rightarrow \frac{x^2}{41}+\frac{y^2}{16}=1$

7 0

3 years ago