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3 years ago

The sum of three consecutive even numbers is 174. What is the smallest of the 3 numbers?

Mathematics

1 answer:

Anarel [89]3 years ago

7 0

The smallest value is 56.

First even number + second even number + third even number = 174

First even number: x

Second even number: x + 2

Third even number: x + 4

So, (x) + (x+2) + (x+4) = 174

3x + 6 = 174

3x = 168

x = 56

(56 + 58 + 60 = 174)

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<h3>What are trigonometric ratios?</h3>

Trigonometric Ratios are values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

Sin θ: Opposite Side to θ/Hypotenuse

Tan θ: Opposite Side/Adjacent Side & Sin θ/Cos

Cos θ: Adjacent Side to θ/Hypotenuse

Sec θ: Hypotenuse/Adjacent Side & 1/cos θ

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Therefore, sin θ = - $\frac{7\sqrt{65} }{65}$

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sec θ = 1/cos θ = 1/ $\frac{4}{\sqrt{65} }$ = - $\frac{-\sqrt{65} }{4}$

cosec θ = 1/sin θ = 1/ $\frac{\sqrt{65} }{7}$ = $\frac{-\sqrt{65} }{7}$

Learn more about trigonometric ratios: brainly.com/question/24349828

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