2. You know that the rope is attached to a point 6 feet from the base of the mast and the rope is 24 feet long, therefore, you can draw the right triangle shown in the figure attached.

3. To calculate x, you must apply the Pythagorean Theorem as you can see below:

$x=\sqrt{(24ft)^{2}-(6ft)^{2}}\\x=\sqrt{540ft^{2}}$

$x$ ≈ $23ft$

3 0

3 years ago

The ordered pairs on the graph represent a proportional relationship. What is the constant proportionality of Y to X

castortr0y [4]

A 7/4 because the slope of the line is 7/4

7 0

3 years ago

An automatics air freshener releases droplets into the air to improve the smell of a living room. At 30 minutes, the canister ha

Dovator [93]

Answer:

The equation is;

y = -1/4x + 607.5

Step-by-step explanation:

Let us have the number of drops as y axis while the number of minutes is x axis

The points to use are;

(30,600) and (130,575)

The slope can be calculated using;

m = (y2-y1)/(x2-x1)

= (575-600)/(130-30) = -25/100 = -1/4

So the equation as we model using the normal equation of a straight line (y = mx + c, m is slope and c is the intercept)

y = -1/4x + c

To get c, we simply substitute one point

Let us use (30,600)

We have

600 = -1/4(30) + c

600 + 7.5 = c

c = 607.5

So the equation is ;

y = -1/4x + 607.5

4 0

2 years ago