Answer:
Step-by-step explanation:
we are given that
we want to figure out x
remember that,
In <u>unit</u><u> </u><u>circle</u> x coordinate is considered cos and y coordinate is considered sin
so in order to figure out x we should figure out the value of <u>cos</u> to do we can consider <u>Pythagoras</u><u> trig</u><u> </u><u>indentity</u>
given by
we are given sin=-√7/4 thus
substitute:
simplify square:
move left hand side expression to right hand side and change its sign:
simplify Substraction:
square root both sides:
since in unit circle cos is x and P belongs to Q:IV negative cos isn't applicable
hence,
Answer:
y=3x+5
Step-by-step explanation:
Point slope equation:
y=mx+b
m-slope, b- is y-intercept
equation given 2 points
y-y1 = m(x-x1)
For point (1,8) and slope m=(y2-y1)/(x2-x1) = 20-8/5-1=12/4=3
y-8 =3(x-1)
arange it in point slope format
y-8=3x-3
y=3x-3+8
y=3x+5
Answer:
x = 114
Step-by-step explanation:
since the triangles are congruent then corresponding angles are congruent, then
∠ C = ∠ D , that is
x + 18 = 132 ( subtract 18 from both sides )
x = 114
Given that we need to determine the radius of the circle.
<u>Radius:</u>
By definition of radius of circle, the radius is the length of the line which is drawn from the center of the circle to any point on the circle.
From the figure, we need to determine the radius of the circle.
As, we can see that, the distance from the center of the circle to the point on the circle is 11 cm.
Since, we know that, the radius is the distance from the center of the circle to the point on the circle then, the radius of the given circle is 11 cm
Thus, radius of the circle is 11 cm.
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