3 years ago

Solve the equation 5x = 20 X=. Pls helps fast test due soon! lol

Mathematics

1 answer:

hodyreva [135]3 years ago

8 0

Answer:

x=4

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

To do this you must know that by definition secant is:

$sec(\theta)=\frac{1}{cos(\theta)}$

Furthermore:

$sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}$

Based on this information we know that 3 = opposite and 5 = hypotenuse. Assuming this is a right triangle we can determine the adjacent side by Pythagorean Theorem.

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Where c is the hypotenuse, a is adjacent and b is opposite. Therefore,

$c^2=a^2+b^2\\\\a=\sqrt{c^2-b^2} \\\\a=\sqrt{5^2-3^2} \\\\a=4$

And so the adjacent side of this triangle is 4. Going back to the definition of secant we can now know that:

$sec(\theta)=\frac{1}{cos(\theta)}=\frac{1}{\frac{4}{5}}=\frac{5}{4}$

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