The height is 33.
Set up the equation like this,
1056 = 32 h
Solve the one step equation and get 33.
Hope this helps!
<span>The solution to the equation 2/3 A= -24 is the coordinate of point A.
2/3 A = -24
A = -24 / 2/3
A = -24 * 3/2
A = -72/2
A = -36
The solution to the equation 20=-b/0.5 is the coordinate of point B
20 = -b/0.5
20 * 0.5 = -b
10 = -b
10/-1 = -b/-1
-10 = b
A = -36 and B = -10
The distance between the two letters is 26 units. </span>
So lets get to the problem
<span>165°= 135° +30° </span>
<span>To make it easier I'm going to write the same thing like this </span>
<span>165°= 90° + 45°+30° </span>
<span>Sin165° </span>
<span>= Sin ( 90° + 45°+30° ) </span>
<span>= Cos( 45°+30° )..... (∵ Sin(90 + θ)=cosθ </span>
<span>= Cos45°Cos30° - Sin45°Sin30° </span>
<span>Cos165° </span>
<span>= Cos ( 90° + 45°+30° ) </span>
<span>= -Sin( 45°+30° )..... (∵Cos(90 + θ)=-Sinθ </span>
<span>= Sin45°Cos30° + Cos45°Sin30° </span>
<span>Tan165° </span>
<span>= Tan ( 90° + 45°+30° ) </span>
<span>= -Cot( 45°+30° )..... (∵Cot(90 + θ)=-Tanθ </span>
<span>= -1/tan(45°+30°) </span>
<span>= -[1-tan45°.Tan30°]/[tan45°+Tan30°] </span>
<span>Substitute the above values with the following... These should be memorized </span>
<span>Sin 30° = 1/2 </span>
<span>Cos 30° =[Sqrt(3)]/2 </span>
<span>Tan 30° = 1/[Sqrt(3)] </span>
<span>Sin45°=Cos45°=1/[Sqrt(2)] </span>
<span>Tan 45° = 1</span>
Answer:
2√5
Step-by-step explanation:
Distance = √(x1-x2)² + (y1-y2)²
Distance = √(-1-3)² + (4-2)²
Distance = 2√5
Answer:
Replace l with 110 and w with 120
P = 2(110) + 2(120)
P = 220 + 240
P = 460 feet
