Answer:
x = 20
Step-by-step explanation:
The angles are same side interior angles so the add to 180
3x-10 + 5x+30 = 180
Combine like terms
8x +20 =180
Subtract 20 from each side
8x+20 -20 =180-20
8x = 160
Divide by 8
8x/8 =160/8
x = 20
Answer:
0.0069
Step-by-step explanation:
This is a power series problem.
The taylor power series expansion for sin(x) = x - x³/3! + (x^(5))/5! - (x^(7))/7! + (x^(9))/9! .......
Our question says we should use the first 5 terms to find the value of sin(π). Thus;
sin(π) = π - π³/3! + (π^(5))/5! - (π^(7))/7! + (π^(9))/9!
This gives;
π - (π^(3)/6) + (π^(5))/120 - (π^(7))/5040 + (π^(9))/362880 ≈ 0.0069
The answer would be 45 weeks, since you do 530-80 since that is the part the parents will foot, which will be 450 left. Then you do that divided by 10 since you plan to save 10 dollars a week and therefore are left with 45 weeks.
Hi!
I believe the answer is D , because the common denominator is 12 .
3 times 4=12
4 times 3=12
2 times 6= 12
You multiply each fraction by 12/1 .
Hope it helps and have a wonderful day !
Answer:
Pendulum will swing by an angle 0.666π
Step-by-step explanation:
We have given arc = 
And length of the pendulum l = 150 cm
Length of the pendulum will be equal to radius of the pendulum so r = 150 cm
Arc is given by 
So 
So pendulum will swing by an angle 0.666π
