The answer is 59
A triangle has 180 degrees. Subtract 62 from 180 to get 118, then divide by 2 to get the two angles on the bottom.
5. arc length = radius x central angle in radians
arc length = 28 x 3π/4 = 21π
answer: (21π) cm
6. You are right. Quadrant 1 features points where both the x coordinate and the y coordinate are positive. Cosine and sine are basically special coordinates.
7. We need to find the tan(2π/3). The hint is quite bad I must say because you need to find the sine and cosine of an angle to find tangent. Okay, back to the problem.
tan(2π/3) = sin(2π/3)/cos(2π/3)
We know π/3 to be a special angle on the unit circle. It has a cosine of 1/2 and a sine of . Because we know this, its partner in quadrant 2 (2π/3) will have a cosine of -1/2 and a sine of .
tan(2π/3) = ÷ -1/2= -√3
answer: -√3
8. Both angles are special angles so...
2cos(π/6) - 2tan(π/3) = 2() - 2( ÷ 1/2) = √3 - 2√3 = -√3 (ok what a coincidence)
answer: -√3
The formula is the diameter times pi
3.14 x 30
the circumference is 94.2 centimeters
Answer:
The value of variable a is 12.5.
Step-by-step explanation:
4 is to 5 as 10 is to a.
or, 4 : 5 = 10 : a
By the RATIO OF PROPORTIONALITY:
or, the value of a = 12. 5
⇒ 4 is to 5 as 10 is to 12.5
Hence, the value of variable a is 12.5.
Answer:
The solution and explanation is in the attachments..