Sammy bought 3 T-shirts for $15.75 each and pairs of jeans for $28.79 each. If the sales tax on his purchases totaled $5.24, how
1 answer:
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Answer:
Part a)
Part b)
Step-by-step explanation:
we have
60 rev/min
Part a) Find the angular speed in radians per minute
we know that
One revolution represent 2π radians (complete circle)
so
To convert rev to rad, multiply by 2π
Part b) Find the linear speed in inches per minute
we know that
The circumference of a circle is equal to
we have
----> given problem
substitute
Remember that
One revolution subtends a length equal to the circumference of the circle
so
To convert rev to in, multiply by 16π
Answer:
89.0°
Step-by-step explanation:
The segment from the centre of the circle to the chord is a perpendicular bisector, hence
third side of right triangle = 12.7 ÷ 2 = 6.35
The angle subtended at the centre by arc CD is twice the angle subtended by the right triangle at the centre
The triangle from the centre to C is congruent to the triangle from the centre to D
Calculate the angle (Θ ) in the right triangle using the sine ratio
sinΘ = =
Θ = (
) ≈ 44.5°
Hence
measure of CD = 2 × Θ = 2 × 44.5 = 89.0°