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Complete Question
Major arc CBD measures 300°. Which is the radian measure of its corresponding central angle?
a)4pi/3 radians
b) 5pi/6 radians
c) 5pi/3 radians
d) 11pi/6 radians
Answer:
c) 5pi/3 radians = 5π/3 radians
Step-by-step explanation:
The corresponding central angle can be defined as the angle that is formed when there is a joining together of two radii at the center of the circle.
The circumference of a circle is given as
360° = 2πr
The major arc CBD is 300°
Therefore,
360° = 2πr , radius is not given hence , 360° = 2π
300° = Y (Unknown)
Cross multiply
360Y= (300× 2π)
Y = 600π ÷ 360
Y = (5π÷ 3) radians
Y = 5π/3 radians
Hence the radian measure for the corresponding angle is = 5π/3 radians
Answer:
Step-by-step explanation:
we know that
The equation of a exponential growth function is given by
where
P(t) is the population in Madison
t is the number of years
a is the initial value
b is the factor of growth
we have
substitute
X - 9 + 2wx = y Add 9 to both sides
x + 2wx = y + 9 Factor out the x
x (1 + 2w) = y + 9 Divide both sides by (1 + 2w)
x = (y + 9) / (1 + 2w)
Answer:
the price sold per kg to earn a profit of 20% is 7.2 kg
Step-by-step explanation:
The computation of the price sold per kg to earn a profit of 20% is shown below:
But before that the normal price per kg is
= 5.4 per kg × 100 ÷ 90
= 6 per kg
Now for 20% profit, the price per kg is
= 6 × (1 + 0.20)
= 6 + 1.2
= 7.2 kg
hence, the price sold per kg to earn a profit of 20% is 7.2 kg
