2 years ago

Y is inversely proportional to x, when Y = 2, x = 4.Find the value of x when Y = 4.

Mathematics

1 answer:

ratelena [41]2 years ago

8 0

The value of x when y =4 is 2

<h3>How to solve for x?</h3>

An inverse proportion is represented as:

k = yx

Where

k represents the constant of proportion

When y = 2, x = 4.

So, we have:

k =2 * 4

k = 8

Substitute k = 8 in k = yx

So, we have:

yx = 8

When y = 4, we have:

4x = 8

Divide by 4

x = 2

Hence, the value of x when y =4 is 2

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An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 22 feet up. The

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The ladder and the outside wall form a right triangle

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<h3>How to determine the length of the ladder?</h3>

The given parameters are:

Distance (B) = 22 feet

Angle of elevation (θ) = 77 degrees

The length (L) of the ladder is calculated using the following cosine ratio

cos(θ) = B/L

So, we have:

cos(77) = 22/L

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L = 22/cos(77)

Evaluate the product

L = 97.8

Hence, the length of the ladder is 97.8 feet