To do this divide set miles (264) by hours (5.5) to give you 48. Then multiply you mph (48) by 7. So in seven hours, Shawna can drive 336 miles.
Answer:
b, c, and f
just divide 24/30 and youll arrive at .8! .8 is also the same as 8/10 and 80%
THEOREM:
- Angle sum property —: The sum of interior angles of a triangle is 180°.
ANSWER:
Let the missing angle be x.
By angle sum property,
- ∠x + 20° + 80° = 180°
- ∠x + 100 = 180°
- ∠x = 180° – 100°
- ∠x = 80°
So, <u>Correct choice</u> - [C] 80°.
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>
