Answer:
∅1=15°,∅2=75°,∅3=105°,∅4=165°,∅5=195°,∅6=255°,∅7=285°,
∅8=345°
Step-by-step explanation:
Data
r = 8 sin(2θ), r = 4 and r=4
iqualiting; 8.sin(2∅)=4; sin(2∅)=1/2, 2∅=asin(1/2), 2∅=30°, ∅=15°
according the graph 2, the cut points are:
I quadrant:
0+15° = 15°
90°-15°=75°
II quadrant:
90°+15°=105°
180°-15°=165°
III quadrant:
180°+15°=195°
270°-15°=255°
IV quadrant:
270°+15°=285°
360°-15°=345°
No intersection whit the pole (0)
Answer:
The store paid 6.67 times the profit made on the jeans
Step-by-step explanation:
Let the amount the clothing store pay for Jean be X
Let the amount the clothing store sells Jean be Y = X ×1.15
The profit (P) made is the difference between amount the clothing store sells Jean and the amount paid for Jean = Y - X = 1.15X - X
Profit (P) = 0.15X
X = P/0.15 = 6.67P
Therefore, the store paid 6.67 times the profit made on the jeans
Answer:
21/20
Step-by-step explanation:
a) One hour is equivalent to 60 minutes.
So we can multiply 50 minutes by the fraction
, so we could convert 50 minutes to hours.
It is:

If we simplify the fraction, we have:

b) In order to express the turtle's speed in miles per hour, we have to divide
by 
So:

We simplify the expression by multiplying 7 mile by 6 and 8 by 5 hours:
