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3 years ago

Can please help!

1 answer:

5 0

Answer:
equation is: width = area / length
width = 62.5 yd

Explanation:
For the first rectangle:
We have:
length = 75 yd and width = 60 yd
Therefore:
area = length * width
area = 75 * 60
area = 4500 yd²

For the second rectangle:
We have:
area = area of first rectangle = 4500 yd²
length = 72 yd
area = length * width
width = area / length ............> The required equation
width = 4500 / 72
width = 62.5 yd

Hope this helps :)

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It is given that y varies inversely as x^2. If x is decreased by 50%, find the percentage change in y.

vova2212 [387]

Answer:

300%

Step-by-step explanation:

Given

$y\ \alpha\ \frac{1}{x^2}$

Required

Find the percentage change in y when x decreased by 50%

First, convert to equation

$y\ = \ \frac{k}{x^2}$

Where k is the constant of proportionality

When x decreased by 50%

$Y = \frac{k}{(x - 0.5x)^2}$

$Y = \frac{k}{(0.5x)^2}$

$Y = \frac{k}{0.25x^2}$

Expand

$Y = \frac{1}{0.25} * \frac{k}{x^2}$

Substitute $\frac{k}{x^2}$ for y

$Y = \frac{1}{0.25} * y$

$Y = 4 * y$

$Y = 4 y$

The percentage change is then calculated as:

$\%Change = \frac{Y - y}{y} * 100\%$

$\%Change = \frac{4y - y}{y} * 100\%$

$\%Change = \frac{3y}{y} * 100\%$

$\%Change = 3 * 100\%$

$\%Change = 300\%$

<em>The percentage in y is 300%</em>

7 0

3 years ago

Mrs Boswell is ordering cookies from a bakery for her daughter’s eighth grade graduation party she uses a table to figure out ho

Alekssandra [29.7K]

Answer:

I'm pretty sure the answer is B, I hope this helps!

5 0

3 years ago

Answer this question for me ASAP PLEASE. Please show all work.

ziro4ka [17]

9514 1404 393

Answer:

acute scalene triangle

Step-by-step explanation:

The largest angle is acute, and all sides are different lengths. The triangle is an<em> acute scalene triangle</em>.

____

The magnitudes of the coordinate differences are ...

WX = (7, 5), XY = (2, 7), WY = (9, 2)

The two sides that are closest in length are ...

WX = √(49+25) = √74

WY = √(81 +4) = √85

Obviously, these are different lengths.

You can get a clue by comparing the numbers whose squares you are adding:

7^2 +5^2 > 7^2 +2^2 . . . . . WX > XY

9^2 +2^2 > 7^2 +2^2 . . . . WY > XY

so, the only question is relation between WX and WY. We note that the length of WX is less than one of the coordinate differences of WY, so we know WY is the longest. (√74 < 9)

We can tell from the graph that angle X (opposite longest side WY) is an acute angle, so the triangle is acute.