Answer:
C
Step-by-step explanation:
The length of arc AC (L) is calculated as
L = circumference of circle × fraction of circle
= 2πr × 
= 2π × 12 × 
= 2π × 5
= 10π ≈ 31.42 → C
Answer:
Part 22) The area is
and the perimeter is 
Part 24) The area is
and the perimeter is
Part 26) The area is equal to 
Step-by-step explanation:
Part 22) Find the perimeter and area
step 1
The area of a rectangle is equal to

we have


Remember that
When multiply exponents with the same base, adds the exponents and maintain the base
substitute in the formula


step 2
The perimeter of a rectangle is equal to

we have

substitute in the formula


Part 24) Find the perimeter and area
step 1
The area of triangle is equal to

where


Remember that
When multiply exponents with the same base, adds the exponents and maintain the base
substitute the given values


step 2
Find the perimeter
I will assume that is an equilateral triangle (has three equal length sides)
The perimeter of an equilateral triangle is

where

substitute


Part 26) Find the area
The area of a circle is equal to

where

Remember the property

substitute in the formula the given value


Answer:

Step-by-step explanation:
we know that
If the three points are collinear
then

we have
A (1, 2/3), B (x, -4/5), and C (-1/2, 4)
The formula to calculate the slope between two points is equal to

step 1
Find the slope AB
we have

substitute in the formula



step 2
Find the slope AC
we have

substitute in the formula



step 3
Equate the slopes


solve for x





simplify

Answer:
The number of ways this can be done is 1,260 ways
Step-by-step explanation:
In this question, we are asked to calculate the number of ways in which the letters of the word balloon can be arranged.
To do this, we take into consideration those letters that are repeated and the number of times repeated. The letters are l and o and are repeated two times each.
The number of ways = 7!/2!2! = 5040/4 = 1,260 ways
Answer: 72
Step-by-step explanation: volume of a pyramid = v= lwh/3
v= 6*6*6/3
v = 216/3
v = 72