I'm just going to write out the answers.
1. 3/6 < 1
2. 5/4 > 1
3. 8/10 < 1
4. 5/8 < 1
5. 7/9 < 1
6. 9/10 < 1
7. 5/8 < 1
8. 11/8 > 1
9. 32/35 < 1
10. 33/36 < 1
11. 13/15 < 1
12. 45/54 < 1
13. 11/10 > 1
14. 52/46 > 1
15. 19/21 < 1
16. 78/80 < 1
Hope this helps! :)
Answer:
x=1 y=7
Step-by-step explanation:
−5x+2y=9
y=7x
Substitute the second equation into the first
-5x +2(7x) = 9
Distribute
-5x +14x = 9
Combine like terms
9x=9
Divide by 9
9x/9 =9/9
x= 1
Now find y
y = 7(1)
y = 7
First, tan(<em>θ</em>) = sin(<em>θ</em>) / cos(<em>θ</em>), so if cos(<em>θ</em>) = 3/5 > 0 and tan(<em>θ</em>) < 0, then it follows that sin(<em>θ</em>) < 0.
Recall the Pythagorean identity:
sin²(<em>θ</em>) + cos²(<em>θ</em>) = 1
Then
sin(<em>θ</em>) = -√(1 - cos²(<em>θ</em>)) = -4/5
and so
tan(<em>θ</em>) = (-4/5) / (3/5) = -4/3
The remaining trig ratios are just reciprocals of the ones found already:
sec(<em>θ</em>) = 1/cos(<em>θ</em>) = 5/3
csc(<em>θ</em>) = 1/sin(<em>θ</em>) = -5/4
cot(<em>θ</em>) = 1/tan(<em>θ</em>) = -3/4
Answer:
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Step-by-step explanation:
7/8 = 21/24
5/12 = 10/24
21/24-10/24 = 11/24
