Answer:
She decreased her running time at a rate of 16.67%
Step-by-step explanation:
In this question, we are asked basically to calculate the percentage decrease in Abby’s running time.
Mathematically, the percentage decrease equals: (new running time - old running time)/old running time * 100%
We input the values and proceed as follows:
Percentage decrease = (10-12)/12 * 100
-2/12 * 100/1 = -1/6 * 100 = -16.67%
Since it’s a decrease, we just simply say that her running time decrease by 16.67%
29/5 should be the correct answer
X + 13 = -4
x = -4 - 13
x = - 17
I am thinking it is the first one..solution is -17
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Solve the trigonometric equation:

Make a substitution:

and the equation becomes

Rewrite conveniently
– t as
+ t – 2t, and then factor the left-hand side by grouping:

Factor out
2t + 1:

Substitute back for
t = cos x:

Therefore,

where
k is an integer.
Solution set:

I hope this helps. =)
Answer:
The answer is 94.2096774194