Consultant a charges $160 for the first hour and $75 per hour after the first. consultant b chargers a flat rate of $90 per hour. consultant c charges $140 for the first hour and $80 per hour after the first. for a five hour session, which consultant offers the cheapest price? (correct marked as brainliest and gets 100 points)

a. consultant a
b. consultant b
c. consultant c
d. all three offer the same price.

B. Consultant B

Step-by-step explanation:

The question asked us to determine the price each consultant charges for a period of 5 hours and then get the cheapest among them.

Let the total charges for 5 hours session = a

Consultant A

He charges $160 for the first hour and $75 after the first. That means the remaining 4 hours he charges 75 ×  4 = $300.

a = 160 + 300 = $460

Consultant B

He charges $90 per hour. This means his charge for 5 hours session is 5 × 90 = $450

a = 90 × 5 = $450

Consultant C

He charges $140 for the first hour and $80 after the first hour. The remaining 4 hours session he will charge 4 × 80 = $320.

a = 140 + 320 = $460

Consultant B offers the cheapest price of $450

a negative exponent is translated as follows:

so, we have

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