X:y = 9:7 Form an equation that links x and y

Mathematics

1 answer:

sleet_krkn [62]2 years ago

6 0

Equations are expressions with equal values

The equation that links x and y is $7x = 9y$

<h3>How to determine the equation</h3>

The ratio is given as:

$x : y = 9 : 7$

Express the ratio, as a fraction

$\frac xy = \frac 97$

Cross multiply

$7 *x = 9 * y$

Evaluate the product

$7x = 9y$

Hence, the equation that links x and y is $7x = 9y$

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Scarlett is trying to find the height of a dam. She stands 90 meters away from the dam and records the angle of elevation to the

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Answer:

45.55 meters

Step-by-step explanation:

I'm guessing she recorded above her height, right?

To find the height of the dam, use the tangent ratio:

$tangentX=\frac{opposite}{adjacent}$

The height of the dam is the side opposite the given angle, and this will represent x. The adjacent side (the hypotenuse is NEVER considered the adjacent side) is the distance from Scarlett to the dam. The angle of elevation is the angle of 26°. Insert the values:

$tan26=\frac{x}{90}$