She made the first error in Step 2, so the answer is B. -1 times -3 is 3, not -3.
Answer:
cos(x-30)=1/2
Step-by-step explanation:
We use the following relationship to obtain cos(x)

From that, we have that cos(x)= sqrt(1-1/4)=sqrt(3) / 4
To obtain the value of cos(x-30), lets remember the following expression:

Therefor, we can use that to obtain our desired function cos(x-30)
cos(x)*cos(30)+sin(x)*sin(30)

=2/4=1/2
There are 5 sections in total.
She colored 2 sections out of the 5 sections.
As a fraction, that would be 2/5, which is 0.4 as a decimal (2 divided by 5), which is 40%
Answer:
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Step-by-step explanation:
To write 0.08333333333 as a fraction you have to write 0.08333333333 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
0.08333333333 = 0.08333333333/1 = 0.8333333333/10 = 8.333333333/100 = 83.33333333/1000 = 833.3333333/10000 = 8333.333333/100000 = 83333.33333/1000000 = 833333.3333/10000000 = 8333333.333/100000000 = 83333333.33/1000000000 = 833333333.3/10000000000 = 8333333333/100000000000
And finally we have:
0.08333333333 as a fraction equals 8333333333/100000000000