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ahrayia [7]
3 years ago
10

The ratio of kangaroos to koalas in the Australian zoo is 6 to 8 . If there are 132 koalas in the zoo how many kangaroos are in

the gym
Mathematics
1 answer:
dolphi86 [110]3 years ago
8 0

Answer:

99

Step-by-step explanation:

set it up as a proportion 6/8 = x/132. then solve

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If A(3,4) and B(10,4) are the end points of a diameter of circle "O", what is the area of the circle O
ikadub [295]

Answer:

\large\boxed{\dfrac{49\pi}{4}}

Step-by-step explanation:

The formula of an area of a circle:

A=\pi r^2

<em>r</em> - radius

We have the endpoints of a diameter of a circle.

The formula of a distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Substitute the coordinates of the given points A(3, 4) and B(10, 4):

d=\sqrt{(10-3)^2+(4-4)^2}=\sqrt{7^2+0^2}=\sqrt{7^2}=7

Therefore we have the length of the diameter: <em>d = 7</em>

We know: <em>d = 2r.</em> Therefore

r=\dfrac{7}{2}

Substitute to the formula of an area:

A=\pi\left(\dfrac{7}{2}\right)^2=\dfrac{49\pi}{4}

<em>There is no such answer in the answers to choose.</em>

<em>Apparently you have some error in the coordinates of the endpoints.</em>

8 0
3 years ago
Which of the following is equal to the length of the major axis of an ellipse?
kakasveta [241]

Answer:

It's A.

Step-by-step explanation:

The length of the major axis is a + b where a and b are the distances from each focus to any point on the ellipse.

6 0
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Marina CMI [18]
Complete the brackets first and then multiply it all.
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5 0
3 years ago
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A street vendor earns $20 for each day of work plus $4 for
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(C)

Step-by-step explanation:

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Find the sum of the first 8 terms in the following geometric series.
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Step-by-step explanation:

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