Answer:
19/4
Step-by-step explanation:
Answer:
L.H.S.
= (cos5a.sin2a-cos4a.sin3a)/ (sin5a.sin2a-cos4a.cos3a)
Multiply numerator and denominator by 2.
= 2(cos5a.sin2a - cos4a.sin3a) / 2(sin5a.sin2a - cos4a.cos3a)
= (2cos5a.sin2a - 2cos4a.sin3a)/
(2sin5a.sin2a - 2cos4a.cos3a) = [sin(5a+2a)-sin(5a-2a)-sin(4a+3a)
+sin(4a-3a)]/[cos(5a-2a)-cos(5a+2a)-sin(4a-3a) +cos(4a+3a)]
= (sina - sin3a)/(cso3a-cosa)
= (-2cos2a.sina)/(-2sin2a.sina)
= cos2a/sin2a
= cot2a
= R.H.S.
Answer:
15 cm.
Step-by-step explanation:
It is given that,
Central angle
Arc length = 33 cm
Formula for arc length :
where, s is arc length, r is radius and is central angle in radian.
Substitute s=33 and in the above formula.
Multiply both sides by 10.
Divide both sides by .
Put
Therefore, the radius of the circle is 15 cm.
Answer:
second can
Step-by-step explanation:
The radius is half of the diameter.
The radius is squared in the formula for the volume of the cylinder.
A diameter of 7 and height of 6 will make a larger can than a diameter of 6 and height of 7.
Subtract 2 from both sides
then you get -y equals 1/3x -2 so you have to flip the sign of the entire equation because you can’t have a negative line
so you get y = -1/3x + 2
the y-intercept is (0,2)
the slope is -1/3x (aka -x/3)