<span>sin θ = opposite/hypotenuse
P(18,24) lies in the first quadrant as both are positive.
x=18
y=24
Hypotenuse = sqrt (18^2 + 24^2)
</span><span>Hypotenuse = 30
</span><span>sin θ = 24/30
</span><span>sin θ = 4/5
</span>θ = sin^-1 (4/5)
<span>θ = 53.13 degrees</span>
Answer:
y = 108°
Step-by-step explanation:
Since AB and CD are parallel lines, then
3x - 12 and 2x + 16 are corresponding angles and congruent, thus
3x - 12 = 2x + 16 ( subtract 2x from both sides )
x - 12 = 16 ( add 12 to both sides )
x = 28
Thus
3x - 12 = 3(28) - 12 = 84 - 12 = 72°
y and 3x - 12 are adjacent angles and supplementary, thus
y = 180° - 72° = 108°
Answer:
z = -1
Step-by-step explanation:
add like terms: 13z = -13
divide both sides by 13: z = -1
Its E...........................................
Answer:
Look at my explanation
Step-by-step explanation:
The circumference of a circle is 2πr, so you can set it up like this since the circumference was 22π.
2πr = 22π
divide both sides by 2
πr = 11π
divide both sides by π
you get r = 11
So your radius is 11.
To find the area, you must do πr^2 ("^2" means squared)
if you substitute 11 for r you get
11π^2
you can do 11 squared first
11^2 = 121
the area of the circle = 121π
Keep in mind that they said to use 3.14 for π
so you can do 121 x 3.14
Final Answer: 379.94
