The given figure is a regular hexagon with side length 12 and radius 10. Find the length of the apothem a. Question 16 options: A) 15.6 B) 8 C) 12 D) 9

the length of the apothem is 8, option B

Step-by-step explanation:

given:

a regular hexagon with side length 12 and radius 10.

find;

the length of the apothem

referring to the attached image,

to get the length of the apothem, use the Pythagorean theorem.

a² + b² = c²

let a = 6, b = apothem, c = 10

plugin values into the formula

6² + b² = 10²

b² = 10² - 6²

b =

b =

b = 8

therefore,

the length of the apothem is 8, option B

54 kilometers per hour

step-by-step explanation:

according to rules:

1 km = 1000 meter

which means that 1 meter = 1/1000 km

1 hour = 3600 second [ as 1 hour = 60 min = 60 *60 seconds ]

which means that 1 second = 1/3600 hour

therefore, 1 kilometer/hour =

thus to convert 15 meter per second to kilometer per hour, we multiply 15 to 3.6 kilometer/hour.

15 meter/second=   which is the required answer.