Jeanette purchased a concert ticket on a website. The original price of the ticket was $75. She used a coupon code to receive a 20% discount. The website applied a 10% service fee to the discounted price. Jeanette's ticket was less than the original price by what percent?

28%

Step-by-step explanation:

The discounted price was (1.00 - 0.20)($75), or 0.8($75) = $60.

Adding 10% to that results in (1.00 + 0.10)$60, or 0.9($60) = $54, which represents the final price including 10% service fee.

The final price is $54, down from $75.  The discount was ($75 - $54), or $21.

This discount, as a fraction of the original price, was

$21

* 100% = 28%

$75

0.02

step-by-step explanation:

time of 9 192 631 770 periods of the radiation corresponding to the transition between the 2 hyperfine levels of the ground state of the caesium 133 atom at 0 k (but other seconds are sometimes used in astronomy)

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm