It is already in a decimal
I think you mean percent, so it will be 90%
Sorry if that is not what you mean
The reciprocal of seven (7) would be 0.142857143
7 < 2m - 23
add 23 to both sides
30 < 2m
divide both sides by 2
15 < m
same as m > 15
Answer:
5/6 = 20/24
5/8 = 15/24
Step-by-step explanation:
These are the answers because:
1) First, the least common denominator is 24 because 8 x 3 is 24 and 6 x 4 is 24
2) Next, multiply the numerators with the same number you multiplied with the denominator
5 x 3 = 15
5 x 4 = 20
3) Therefore, the answers are:
5/6 = 20/24
5/8 = 15/24
Hope this helps!
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
