- In the following diagram of triangle QRS, QR = 8 and QS = 17. Determine the value of sin Q. Show how you
arrived at your answer.

Step-by-step explanation:

We draw the right triangle as shown in the image attached.

Δ QRS

Where R is the right angle

Given

QR = 8

QS = 17

Now, using Pythagorean Theorem, we can find RS:

Now, we know the ratio Sine as:

Where is the angle (here angle Q)

Opposite side is RS (which is 15)

Hypotenuse is given as QS (which is 17)

So,

This is the value of SinQ.

We don't want the angle, so we'll stop here.

d

step-by-step explanation:

given

y + 3 = - 4(x - 2) ← distribute the parenthesis

y + 3 = - 4x + 8 ( subtract 3 from both sides )

y = - 4x + 5 → d