Answer:
5 weeks
Step-by-step explanation:
Let x represent the number of weeks they have been saving
Create an equation that sets Cameron and Sams' savings equal to each other, then solve for x
4x + 20 = x + 35
3x + 20 = 35
3x = 15
x = 5
So, they will have saved the same amount of money after 5 weeks
Answer:
7) 38.5mi 8) 9ft
Step-by-step explanation:
7) 7 x 11 = 77
77/2 = 38.5
8) 3 x 3 = 9
Answer:
Step-by-step explanation:
-16 = 8x/5......8x/5 is the same as 8/5(x)
-16 = (8/5)x...divide both sides by 8/5
-16 / (8/5) = x
-16 * 5/8 = x
-80/8 = x
-10 = x <===
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