# Denise wants to burn at least 5000 calories a week through running. Based on her running speed, she estimates that she can burn 550

Denise wants to burn at least 5000 calories a week through running. Based on her running speed, she estimates that she can burn 550 calories per hour. If Denise runs for one half hour each week day and one hour each weekend day, will she meet her goal? Justify your answer.

## This Post Has 3 Comments

1. Expert says:

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2

$Find the area of the regular polygon. round to the nearest tenth. !$

2. Expert says:

Dis the correct answer

3. gsls6165 says:

She will not meet her goal.

Step-by-step explanation:

There are 5 weekdays, so she will run for 0.5 * 5 = 2.5 hours over the weekdays

There are 2 weekends, so she will run for 2 * 1 = 2 hours over the weekend.

In total, this means she will run for 4.5 hours.

4.5 hours * 550 calories per hour = 2475 calories.

She will not meet her goal.