Answer:

Step-by-step explanation:
Please refer to the attached diagram. (Apologies if the shading or resolution is a bit off.)
So, we want to find θ.
Since we formed a right triangle, we can use right triangle ratios.
We know the measure of the adjacent side to θ and the hypotenuse.
Therefore, we will use the cosine ratio:

The adjacent side is 2 and the hypotenuse is 15. By substitution:

Now, we will take the inverse cosine of both sides. So:

Use a calculator. Hence:

The angle between the ground and the ladder is about 82.34°.
Answer:
3 and 9
Step-by-step explanation:
The factors of 18 can be listed as
1, 2, <u>3</u>, 6, <u>9</u>, 18
The two which sum to 12 are 3 and 9
Answer:
The constant of proportionality is 5.
Step-by-step explanation:
If the quantity q varies inversely with the square of m and directly with the product of r and x, then the variation equation is

When q=2.5, m= 4 and the
product of rx = 8.
We plug in this values to get;



Multiply both sides by 2

The constant of proportionality is 5.
The square root of 25 is 5, so each side is 5metres x
Answer:
the slope is -4/5 and the y-intercept is 0
Step-by-step explanation: