Answer:
Note from question, Let K be any integer. Integer = 1
θ = πk
θ = 3.142 * 1
θ = 3.142 in three decimal places
θ = sin⁻¹ (2/3) + 2kπ
θ = sin⁻¹0.667 + 2*1*3.142
θ = 0.718 + 6.284
θ = 7.002 in three decimal places
∴ 7.002 , 3.142
Step-by-step explanation:
Considering the equation
3 tan(θ) sin(θ) − 2 tan(θ) = 0
The objective is to solve the equation.
First solve the equation in one period.
3 tan(θ) sin(θ) − 2 tan(θ) = 0
( 3sinθ − 2 ) tanθ = 0
Therefore, 3sinθ − 2 = 0 also tanθ = 0
=> sinθ = 2/3 , tanθ = 0
Pick the right equation.
tanθ = 0
θ = tan⁻¹ 0
θ = 0
Using the unit circle, the period of tangent functions is π
Then the general solution of the equation is θ = 0 + πk ==> θ = πk
Pick the left equation.
3sinθ − 2 = 0
3sinθ = 2
sinθ = 2/3
θ = sin⁻¹ (2/3)
As the sine function has period 2π
Then the general solution is θ = sin⁻¹ (2/3) + 2kπ
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Requiredpercentagevalue = a
total value = b
Percentage = a/b x 100
The number of damagedbluecandies is 4.
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Requiredpercentagevalue = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Totalnumber of candies = 60
Number of bluecandies = 20% of 60
This means,
= 20/100 x 60
= 12
The number of damaged blue candies.
= 20% of 20
= 20/100 x 20
= 4
Thus,
The number of damagedbluecandies is 4.
Learn more about percentages here:
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Missed golf shots Points
0
400
1
350
2
300
6
????
Answer:
100
Step-by-step explanation:
If
0 = 400
1 = 350
2 = 300
Then,
3 = 250
4 = 200
5 = 150
Therefore, 6 will be 100