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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 formula to calculate the depreciated value is equal to
where
V is the depreciated value
P is the original value
r is the rate of depreciation in decimal
x is Number of Time Periods
in this problem we have
substitute in the formula
Answer:
42
Step-by-step explanation:
The permutation formula is P(n, r) = n! / (n - r)!. We know that n = 7 and r = 2 so we can write:
7! / (7 - 2)!
= 7! / 5!
= 7 * 6 * 5 * 4 * 3 * 2 * 1 / 5 * 4 * 3 * 2 * 1
= 7 * 6 (5 * 4 * 3 * 2 * 1 cancels out)
= 42
Answer:
y=3x-38
Step-by-step explanation:
We know that Tracy spent $38 in less than 3 times than what Daniel spent. Given this information we can put our eqaution together.
Y=3x-38
Hope this helps! :)
