To solve this problem, we need to know that
arc length = r θ where θ is the central angle in radians.
We're given
r = 6 (units)
length of minor arc AB = 4pi
so we need to calculate the central angle, θ
Rearrange equation at the beginning,
θ = (arc length) / r = 4pi / 6 = 2pi /3
Answer: the central angle is 2pi/3 radians, or (2pi/3)*(180/pi) degrees = 120 degrees
Answer:
x = 17
Step-by-step explanation:
The sum of all angle measures in any triangle is 180 degrees.
- Thus, 23 + 5x - 18 + 90 = 180.
Step 1: Simplify both sides of the equation.
Step 2: Subtract 95 from both sides.
Step 3: Divide both sides by 5.
Step 4: Check if solution is correct.
Thus, x = 17.
Answer:
Anita Bath's home was worth $ 593,195.62 in 2007.
Step-by-step explanation:
Given that from 1992 to 2007 the average home price increased by 8% per year, and in 1992 Anita Bath bought a house for $ 187,000, to determine what was it worth in 2007 the following calculation must be performed:
2007 - 1992 = 15
187000 x 1.08 ^ 15 = X
187000 x 3.172 = X
593,195.62 = X
Therefore, Anita Bath's home was worth $ 593,195.62 in 2007.
Answer:
=3 + 4/12 + 3/12
Step-by-step explanation:
To make 1/3 into a twelfth, you have to multiply the 3 by 4 to get 12. Whatever you do to the top you have to do to the bottom, meaning that you have to multiply 1 by 4 to get 4 on top.
To make 1/4 into a twelfth, you have to multiply the 4 by 3 to get 12. Whatever you do to the top you have to do to the bottom, meaning that you have to multiply 1 by 3 to get 3 on top.
I'm pretty sure the answer is B) 11c+8.5(c-46)=470
hope i help :)