Answer:

Step-by-step explanation:
To write the equation of a line with a point and a slope, use the point-slope form of a linear equation. Substitute m = 2/3 and the point (-4,5) into the equation.

Convert to slope intercept form by using the distributive property.

Answer:
133°
Step-by-step explanation:
angles on a straight line = 180°
180 - 144 = 36°
angles in a triangle = 180°
36 + 31 = 67
180 - 67 = 113
answer = 113°
The distance between the boat and the ocean's floor is 19m
<h3>
How to get the distance from the ship to the ocean's floor?</h3>
We can see this as a right triangle, where the rope with the anchor is the hypotenuse. So we already know that the hypotenuse measures 30m.
We also know an angle, it measures 39°, and we want to get the opposite cathetus to said angle (the height).
Then we use the relation:
Sin(a) = (opposite cathetus)/(hypotenuse).
Replacing the values that we know, we get:
Sin(39°) = d/30m
sin(39°)*30m = d = 18.9m ≈ 19m
The distance between the boat and the ocean's floor is 19m.
If you want to learn more about right triangles, you can read:
brainly.com/question/2217700
Answer:
12 and 1/2<u>
</u>
Step-by-step explanation: