Answer:
6.8cm
Step-by-step explanation:
I dont have an explanation
Actually Welcome to the Concept of the Linear equations.
Let the number of bicycles = x
and number of tricycles = y
the relationship given is,
x = 5y-1
number of wheels of bicycle = 2x and of tricycles=3y
and other relation is, 2x+3y = 154
so now substituting we get as,
==> 2(5y-1) +3y= 154
10y-2+3y = 154
13y = 154+2
=> y = 12
=> 12*3 = 36 wheels of tricycles
so, 154-36 => 118 wheels of the bicycle.
so the number of bicycles = 118/2 = 59
hence,
==> number of bicycles = 59 and tricycles = 12
The answer to the problem is 18.2081
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