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dolphi86 [110]
3 years ago
9

An Olympic athlete is recovering from knee surgery and she is under a doctor's care. The doctor has the athlete jog 12 minutes a

day for five weeks. After that, the athlete will increase the jogging time by five minutes a day, a week at a time. In what number week will the athlete be jogging more than a hour per day??
A) Week 17

B) Week 13

C) Week 15

D) Week 12
Mathematics
1 answer:
choli [55]3 years ago
3 0
Here, Your Inequality would be:
12 + 5x ≥ 60
Subtract 12 from both sides, 
5x ≥ 48
Divide by 5, 
x ≥ 9.6

Number of weeks can't be in fraction, so it would be 10 plus that initial 5 weeks so in total it is 15

In short, Your Answer would be Option C

Hope this helps!
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For an acute angle A in a right triangle:

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The hypotenuse of a right triangle is the side opposite the right angle. It is the longest side of a right triangle. There is only one hypotenuse in a triangle, so there is no confusion with the hypotenuse.

The two sides that form the right angle are called the legs. Each leg is opposite an acute angle. The legs may or may not be congruent to each other, but each leg is always shorter than the hypotenuse. Since there are two legs, we need to be able to distinguish them. If you take an acute angle as your angle of interest, the leg that is part of the angle is called the adjacent leg. The other leg is the opposite leg. Adjacent leg and opposite leg are relative terms. They depend on the acute angle you are considering.

For your triangle, if you look at angle X, then the adjacent leg is side XZ. The opposite leg for angle X is side YZ.

Using the ratios mentioned above for sine and cosine, you get:

sin X = opp/hyp = sqrt(119)/12

cos X = adj/hyp = 5/12
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