because if u simplify 4 into 12 that equals 1/3 so that is why they are equal hope this helps if u need help ask me
Step-by-step explanation:
Answer:
11,73 cm (round to the nearest hundredths) ; 112 degrees
Step-by-step explanation:
circumference = 2 x radius x π = 2 x 6 x π = 37,699112 cm
measure of the arc =
37,699112 : 360 = x : 112
x = (112 * 37,699112)/360 = 11,728613 cm
the measure of the angle is given = 112 degrees
Answer:
8:00
Step-by-step explanation:
Please don't delete this
Answer:
C. 40.2°
Step-by-step explanation:
Cosine rule (real handy to remember): c² = a² + b² - 2·a·b·cos(γ)
If you don't know this yet, look it up but in short: c, a and b are the lengths of the sides of the triangle, the angle opposite side a is called α, for b it is β and for c it is γ. That's the convention I've always used anyway, you can call them whatever of course. Anyhow:
c² = a² + b² - 2·a·b·cos(γ)
⇒ |AC|² = |AB|²+|BC|²-2·|AB|·|BC|·cos(∠B)
⇒ |AC|²-|AB|²-|BC|² = -2·|AB|·|BC|·cos(∠B)
⇒ ( |AC|²-|AB|²-|BC|² ) / ( -2·|AB|·|BC| ) = cos(∠B)
⇒ ∠B = arccos( ( |AC|²-|AB|²-|BC|² ) / ( -2·|AB|·|BC| ) )
= arccos( ( 11²-16²-16² ) / ( -2·16·16 ) )
= 40.21101958°
≈ 40.2°
