0.09 divided by 1.053
2 answers:
Answer:
Step-by-step explanation:
Convert the decimal into a fraction
9/100 ÷ 1.053
Convert the decimal into a fraction
9/100 ÷ 1053/1000
To divide by a fraction, multiply by the reciprocal of that fraction
9/100 × 1000/1053
Reduce the number with the greatest common factor 100
9 × 10/1053
Reduce the number with the greatest common factor 9
10/117
Solution
10/117
Alternate form
0.85470
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Answer:
x = π/3, x = 5π/3, x = 4π/3
Step-by-step explanation:
Let's split the given equation (2cosx-1)(2sinx+√3 ) = 0 into two parts, and solve each separately. These parts would be 2cos(x) - 1 = 0, and 2sin(x) + √3 = 0.
Remember that the general solutions for cos(x) = 1/2 are x = π/3 + 2πn and x = 5π/3 + 2πn. In this case we are given the interval 0 ≤ x ≤2π, and therefore x = π/3, and x = 5π/3.
Similarly:
The general solutions for sin(x) = - √3/2 are x = 4π/3 + 2πn and x = 5π/3 + 2πn. Therefore x = 4π/3 and x = 5π/3 in this case.
So we have x = π/3, x = 5π/3, and x = 4π/3 as our solutions.