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3 years ago

the shaded rectangle shown below is a scale drawing of a rectangle whose area is 288 scale feet. what is the scale factor of the

drawing?

Mathematics

1 answer:

mrs_skeptik [129]3 years ago

7 0

$Area\ of\ rectangle:\ 288\ ft^2\\Area\ of\ shaded\ rectangle:\ 8\cdot4=32\ ft^2\\\\Ratio:\\\\32:288\ \ ->\ \ 1:9\\\\Small\ rectangle\ is\ drawn\ in\ 1:9$

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3 years ago

A farmer had twice as many chickens as ducks on his farm. After he sold 166 chickens and ducks, he had half as many chickens as

mamaluj [8]

Answer:

The farmer have at first 202 chickens.

Step-by-step explanation:

Given:

A farmer had twice as many chickens as ducks on his farm. After he sold 166 chickens and ducks, he had half as many chickens as ducks left.

Now, to find the chickens farmer have at first.

Let the chickens be $x.$

And, the ducks be $y.$

As, the farmer had twice as many chickens as ducks on his farm.

So, $x=2y$ ......(1)

As, given the farmer after selling 166 chickens and ducks, he had half as many chickens as ducks left.

According to question:

$x-166=(y-29)\times \frac{1}{2}$

$x-166=\frac{y-29}{2}$

Substituting the value of $x$ from equation (1) we get:

$2y-166=\frac{y-29}{2}$

By cross multiplying we get:

$4y-332=y-29$

Adding both sides 332 we get:

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Subtracting both sides by $y$ we get:

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Dividing both sides by 3 we get:

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Now, to get the number of chickens substituting the value of $y$ in equation (1):

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3 years ago

Can somebody answer this ?? :)

Alexxandr [17]

Answer:

Because the dashed triangle is smaller than the original it's a reduction. The scale factor is 1/3 because if we look at the altitudes of the triangle, the original is 6 and the dilated is 2 and 2 / 6 = 1 / 3.

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