Cos(A-B) = cosAcosB + sinAsinB
<span>
cos(</span>π/2 - θ) = cos(π/2)cosθ + sin(π/2)sinθ
π/2 = 90°
cos(π/2) = cos90° = 0. sin(π/2) = sin90° = 1
cos(π/2 - θ) = cos(π/2)cosθ + sin(π/2)sin<span>θ
</span>
= 0*cosθ + 1*sin<span>θ = </span>sin<span>θ
Therefore </span>cos(π/2 - θ) = sin<span>θ
QED </span>
Answer:
65.5
Step-by-step explanation:
I just took the assignment on edge. Good luck
Answer:
12x -y = -87
Step-by-step explanation:
You can start with the 2-point form of the equation of a line and manipulate it to give you the standard form.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (-9 -3)/(-8 -(-7))(x -(-7)) +3
y = (-12/-1)(x +7) +3
y = 12x +84 +3
-12x +y = 87 . . . . . subtract the x-term
12x -y = -87 . . . . . . make the leading coefficient positive (per standard form)
Answer:
Volume of round cake pan = volume of cylinder
Volume of a cylinder =
(where r is the radius and h is the height)
Radius =
diameter ⇒ 
⇒ volume of round cake pan = 
= 76.97 in³ (nearest hundredth)
Volume of rectangular cake pan = volume of rectangular prism
volume of rectangular prism =
(where w is the width, l is the length and h is the height)
⇒ volume of rectangular cake pan = 6 x 9 x 2 = 108 in³
As 108 > 76.97, the rectangular cake pan has a larger volume
Answer:
They started at 4:45 pm
Step-by-step explanation:
Time spend at the mall:
15 minutes in the shoe store
1 hour shopping for a dress
30 minutes eating
Total 1 hour 45 minutes
x + 1 hour 45 minutes = 6:30
Subtract 1 hours
5 : 30 pm
Subtract 45 minutes
4 :45 pm
They started at 4:45 pm