Answer:
see explanation
Step-by-step explanation:
the arc length of a circle is calculated as
arc = circumference of circle × fraction of circle
(5)
circumference (C) is calculated as
C = 2πr ( r is the radius )
here diameter = 12 , then r = 12 ÷ 2 = 6
C = 2π × 6 = 12π ≈ 37.7 m ( to the nearest tenth )
(6)
JK = 2πr × 
= 2π × 7 × 
= 14π ×
= 
≈ 9.2 in ( to the nearest tenth )
(7)
7.5 = 2πr × 
7.5 = 2πr × 
( multiply both sides by 3 to clear the fraction )
22.5 = 2πr ( divide both sides by 2π )
r = 
≈ 3.6 ft
Answer:et
m = the age of Maggie
b = the age of her brother
Maggie's brother is 3 years younger than twice her age:
b = 2m - 3
The sum of their ages is 24:
m + b = 24
by solving the system of equations:
b = 2m - 3
m + b = 24
we find
b = 15 years
m = 9 years
Step-by-step explanation:
No they are not in the corresponding angles theorem it states that if and only if two parallel lines are cut by a transversal then the pairs of corresponding angles are congruent. And if two lines are cut by a transversal and the corresponding angles are congruent, then the lines are parallel.
In a - 3 = 15, the value of a HAS to be 18.
In a - 3 is greater than or equal to 15, the value of a is any value that is 18 or higher.
Answer:
Un= 1 + (n-1)4
Step-by-step explanation:
a=1
d=5-1=9-5=4
using the formula Un=a+(n-1)d
