For this case we have to define trigonometric relations of rectangular triangles that:
- The cosine of an angle is given by the leg adjacent to the angle on the hypotenuse of the triangle.
- The sine of an angle is given by the leg opposite the angle on the hypotenuse of the triangle.
Then, according to the figure we have:

Answer:

Option D
Constraints are simply the subjects of an objective function.
The inequality that represents the constraint is: 
Represent the number of hats with x, and the number of scarves with y.
From the question, we have:
- He spends 12 hours to knit a hat
- He spends 6 hours to knit a scarf
So, the equation of the total time spent is:

This time spent is not more than 20 hours.
So, the inequality is

Hence, the inequality that represents the constraint is: 
Read more about constraints at:
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Answer:
feldspar, because it has a higher number then gypsum and apatite, and it can be scratched by quartz because it has a lower number.
Lyndon should spend $38.05 or more to get a free T-shirt.
We have to find the statement best represents all of the amounts he can spend to get a free T-shirt
Suppose that the amount Lyndon get free T shirt is x.
Given that a clothing store offers a free T-shirt when a customer spends $75 or more.
Lyndon has already spent $36.95.

To find the value of x,
Solve above inequality


Therefore,
Lyndon should spend $38.05 or more to get a free T-shirt
To learn more about the amounts he can spend to get a free visit:
brainly.com/question/25537936
Answer:
1. Karen= g^5 (not sure)
2. Mike = g^5 + 3 (not sure)
3. Karen = 25
Mike = 28
4. Karen = 35
Mike = 38
Step-by-step explanation:
1. if george age was g
karen age= g x 5 = g5
2. mike age= gx5 + 3
3. g = 5
karen age= 5 x 5 = 25
mike 25 + 3
4. g = 7
karen = 7x5 = 35
mike = 35 + 3
(i dont know if this correct or not but it my opinion)