A point (-0.8, 0.6) will be a point on the unit circle in the second quadrant. Since it is a unit circle, its radius is 1, and we have
sin(α) = y = 0.6
cos(α) = x = -0.8
tan(α) = y/x = 0.6/-0.8 = -0.75
The angle is α = arccos(-0.8) ≈ 143.13°
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For the unit circle, the trig values are always the coordinates or their ratio as shown above, regardless of quadrant.
Answer:
<h3>The answer is option C</h3>
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(8, 10) and (-7, 14)
The slope is
We have the final answer as
Hope this helps you
Triangle STU is similar to triangle SVW
so
TU ST
------- = ---------- (as you know SV = ST + TV = 12 + 18 = 30)
VW SV
so
TU 12
------- = ----------
40 30
TU = 12 * 40 / 30
TU = 16
answer
16 inches
Answer:
x = 8
Step-by-step explanation:
Step 1: Simplify both sides.
7 - 3x = -2/5x - 69/5
7 + - 3x = -2/5x + -69/5
-3x + 7 = -2/5x + -69/5
Step 2: Add 2/5x to both sides.
-3x + 7 + 2/5x = -2/5x + -69/5 + 2/5x
-13/5x + 7 = -69/5
Step 3: Subtract 7 from both sides.
-13/5x + 7 - 7 = -69/5 - 7
-13/5x = -104/5
Step 4: Multiply both sides by 5/(-13)
(5/-13) * (-13/5x) = (5/-13) * (-104/5)
x=8
