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REY [17]
3 years ago
10

A building 50 ft casts a 75 ft shadow. Sarah casts a 6ft shadow. The triangle formed by the building and its shadow is similar t

o the triangle formed by Sarah and her shadow. How tall is Sarah?
Mathematics
1 answer:
irina [24]3 years ago
5 0
<span>Since the triangles are similar, the side lengths are proportional. In other words, if a 50 foot building makes a 75 foot shadow, that is a ratio of 50/75, or 2/3 if you reduce it. This is the same ratio that describes Sarah's height, S, compared to her shadow, which the problem says is 6 feet long. So 2/3 = S / 6 You can cross multiply to find S... 12 = 3S..... so S = 4 feet tall... Sarah is 4 feet tall.</span>
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LenKa [72]

So, y-intercept is (0,3) and x-intercept is (3/7,0)

Step-by-step explanation:

We are given:

y=-7x+3

We need to find y-intercept and x-intercept

Finding y-intercept

To find y-intercept we put x =0

Solving:

y=-7x+3\\y=-7(0)+3\\y=3

So, y-intercept is (0,3)

Finding x-intercept

To find x-intercept we put y =0

Solving:

y=-7x+3\\0=-7x+3\\-7x=-3\\x=-3/-7\\x=3/7

So, x-intercept is (3/7,0)

So, y-intercept is (0,3) and x-intercept is (3/7,0)

Keywords: x and y intercepts

Learn more about x and y intercepts at:

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Ilya [14]

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Using the distance formula, we get

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Similarly,

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BC=\sqrt{(4)^2+(-4)^2}

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Now, the length of the rectangle is AB=\sqrt{13} and the width of the rectangle is BC=4\sqrt{2}. So, the area of the rectangle is:

A=length \times width

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A=4\sqrt{26}

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3 years ago
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a_sh-v [17]

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Hi there! You’re correct.

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