H (x)=x^2+ 8x+7 , what function family does this equation belong to?
2 answers:
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That's the wrong right triangle to draw. Reading the problem carefully we want this one, figure attached.
So we have the usual 30/60/90 triangle but not to scale. The sides come in ratio 1:√3:2=x:100:hypotenuse. So
x = 100/√3 ≈ 57.735
We add that to our 133.2 for the total height of the Cyclone, 190.935.
Answer: 190.9
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Check Attachment!!!
According to the statement of the question, we have:
a/b = 3/4
<em>Note that according to the attached figure, </em><em>b > a</em><em>, then the correct proportion will be </em><em>a</em><em> to </em><em>3</em><em>, as well as </em><em>b</em><em> to </em><em>4</em><em>, because </em><em>b > a</em><em> and </em><em>4 > 3</em>
Isolating a and b:
a = 3b/4
b = 4a/3
From Pythagoras:
h² = a² + b² - as a = 3b/4 and b = 4a/3, so
<h3>b = 4h/5</h3><h3>a = 6h/5</h3>For Area:
A = b.a/2
as b = 4h/5 and a = 6h/5, so
<h3>A = 12h/25</h3>
