Answer:
12.6 cm
Step-by-step explanation:
Given:
m<AOB = θ = 120°
Diameter (d) = 12 cm
Required:
Length of arc AB
Solution:
Length of arc AB = θ/360 × πd
Plug in the values
Length of arc AB = 120/360 × π×12
≈ 12.6 cm (nearest tenth)
Answer:
7595.96 × 0.02 × x = y
Step-by-step explanation:
1. We start with $7595.96.
2. The interest is 2% or 0.02
3. Using this formula - P(Principle) x R(Rate) x T(Time) we pluck in the numbers.
4. 7595.96(Principle) x 0.02(Rate) x x(Time) = y(amount of money in the account after x years).
Answer:
Option A is correct, i.e. x = -3, x = 7.
Step-by-step explanation:
Given the equation is x² -4x -21 = 0.
We can compare it with general quadratic equation i.e. ax² +bx +c =0.
then a = 1, b = -4, c = -21.
We can use Quadratic formula as follows:-
x = ( -b ± √(b²-4ac) )/2a
x = ( +4 ± √(16-4*1*-21) )/2*1
x = ( +4 ± √(16+84) )/2
x = ( +4 ± √(100) )/2
x = ( +4 ± 10 )/2
x = (4+10)/2 or x = (4-10)/2
x = 14/2 or x = -6/2
x = 7 or x = -3
Hence, option A is correct, i.e. x = -3, x = 7.