Help please i am stuck on what to do

Mathematics

1 answer:

nikklg [1K]3 years ago

6 0

Answer:

These are confusing Beth , b/c you have to remember that they will add to 100%

Step-by-step explanation:

green = 3* yellow

100% = green + yellow + 35% + 25%

100% = 3* yellow + yellow +60%

40% = 4* yellow

10% = yellow

30% = green

there are 14 purples in the bag , which is 35% of total

14/.35 = 40

there are a total of 40 pins

4 are yellow (10% of 40 or 40* 0.1)

12 are green (30% of 40 or 40*0.3)

14 are purple (35% of 40 or 40*0.35)

10 are grey (25% of 40 or 40*0.25 )

see? : |

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Answer:

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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.

$2\cos \left(x\right)-1=0,\\2\cos \left(x\right)=1,\\\cos \left(x\right)=\frac{1}{2}$

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:

$\:2\sin \left(x\right)+\sqrt{3}=0,\\2\sin \left(x\right)=-\sqrt{3},\\\sin \left(x\right)=-\frac{\sqrt{3}}{2}$