Answer:
line1:y=2x+3
Gradient1=2
Let line2 be the line passes through (-4,1)and perpendicular to line1.
Because line2 and line1 are perpendicular, (gradient of line2) (gradient of line1) =-1
Gradient of line2=-1/2
Equation of line2:y-y1 =m(x-x1)
:y-1 =(-1/2)[x-(-4)]
:(y-1)(-2)=(x+4)
:-2y+2 =x+4
:-2y+2-x-4=0
:-x-2y-2 =0
:x+2y+2 =0
*notes:gradient=m
Step-by-step explanation:
A
≈
45.84
Using the formulas
A
=
π
r
2
C
=
2
π
r
Solving for
A
A
=
C
2
4
π
=
24
2
4
·
π
≈
45.83662
Answer:
Ф = 10°
Step-by-step explanation:
Regarding arc length, s: s = r·Ф, where Ф is the central angle in radians and r is the radius.
We need to find the central angle, Ф, in this problem.
We know that C = circumference = 6, and that this leads to r = 6/π.
Substituting 6/π for r and 1/3 for s in Ф = s / r, we get:
Ф in radians = 1/3 / (6/π), or Ф = π/18 rad.
π 180°
Converting this into degrees, we multiply ------ by ----------
18 π rad
obtaining: Ф = 10°
The Reference angle for 302 degree is 58 degree.
<h3 /><h3>What is Reference Angle?</h3>
The acute angle formed by the terminal arm or terminal side and the x-axis is known as the reference angle.
There is always a positive reference angle.
The reference angle is, in other words, the angle formed by the terminal side and the x-axis.
Reference angle is given by
Ф = 360° - Given angle
Ф = 360° - 302°
Ф = 58°
Option A is right answer.
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