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.
Answer:
yes
Step-by-step explanation:
note that 20% = 
= 
Hence to find 20% of a number, dividing the number by 5 is correct
20% of £30 = 
= £6
Answer: She bought 28 daises and 10 Tulips.
Step-by-step explanation:
Let x represent the number of daises bought.
Let y represent the number of tulips bought.
Your friend want to have 38 of her favorite flowers. This means that
x + y = 38
Her favorite flowers are daisies at 1.50 each and tulips at 2.50 each if the total bill was 67, it means that
1.5x + 2.5y = 67 - - - - - - - - - - - - 1
Substituting x = 38 - y into equation 1, it becomes
1.5(38 - y) + 2.5y = 67
57 - 1.5y + 2.5y = 67
- 1.5y + 2.5y = 67 - 57
y = 10
x = 38 - y = 38 - 10
x = 28
Answer:
8.5 units
Step-by-step explanation:
(-1, 1) squared + (7,4) squared = formula
Distance 8.5 is rounded to the nearest 10
