Perimeter is the continuous line that forms the boundary of a closed geometric figure.
Perimeter of a pentagon = 5a ; where a is the length of its side.
a = 3√5 ⇒ P = 5 * 3√5 = 15√5
Perimeter of an octagon = 8a ; where a is the length of its side.
a = 3√5 ⇒ P = 8 * 3√5 = 24√5
Answer:
The inequality that could be used to model this situation is 15.95+0.10m<40. Also, the number of minutes has to be less than 240.5 for Mr. Kordemsky's phone bill for the month to be less than $40.
Step-by-step explanation:
From the information provided, the inequality would indicate that the phone bill for the month that is equal to the result of the fixed fee plus the price per minute for the number of minutes has to be less than $40, which can be expressed as:
15.95+0.10m<40
Now, you can solve for m:
15.95+0.10m<40
0.10m<40-15.95
0.10m<24.05
m<24.05/0.10
m<240.5
According to this, the answer is that the inequality that could be used to model this situation is 15.95+0.10m<40. Also, the number of minutes has to be less than 240.5 for Mr. Kordemsky's phone bill for the month to be less than $40.
We have been given that a right △ABC is inscribed in circle k(O, r).
m∠C = 90°, AC = 18 cm, m∠B = 30°. We are asked to find the radius of the circle.
First of all, we will draw a diagram that represent the given scenario.
We can see from the attached file that AB is diameter of circle O and it a hypotenuse of triangle ABC.
We will use sine to find side AB.
Wee know that radius is half the diameter, so radius of given circle would be half of the 36 that is 
.
Therefore, the radius of given circle would be 18 cm.
65 - 30 - 21 = 14
(sixty-five minus thirty minus twenty-one equals fourteen)
