3 years ago

Eight less than the quotient of x and 3

Mathematics

1 answer:

frosja888 [35]3 years ago

8 0

Answer:

y=x3−8

Step-by-step explanation:

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Consider a triangle with angles 30o-60o-90o, with hypotenuse of length 2. Calculate the lengths of the other 2 sides and store t

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Step-by-step explanation:

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$sin (30^{0})=\frac{c}{2}\Rightarrow \frac{1}{2}=\frac{c}{2}\Rightarrow 2*\frac{1}{2}=2*\frac{c}{2}\Rightarrow c=1\\sin(60^0)=\frac{b}{2}\Rightarrow \frac{\sqrt{3}}{2}=\frac{b}{2}\Rightarrow b=\sqrt{3}\Rightarrow\: b\approx \:1.73$

Once one leg is found there is another way to find the other leg, using Pythagorean Theorem too.

$a^{2}=b^{2}+c^{2}\Rightarrow 2^{2}=b^{2}+1^{2}\Rightarrow 4-1=b^{2}\Rightarrow b=\sqrt{3} b\approx 1.73$

Sides

a hypotenuse: 2.00

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b leg: 1.73

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c leg: 1.00

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