Answer:
cosФ =
, sinФ =
, tanФ = -8, secФ =
, cscФ =
, cotФ = 
Step-by-step explanation:
If a point (x, y) lies on the terminal side of angle Ф in standard position, then the six trigonometry functions are:
- cosФ =

- sinФ =

- tanФ =

- secФ =

- cscФ =

- cotФ =

- Where r =
(the length of the terminal side from the origin to point (x, y)
- You should find the quadrant of (x, y) to adjust the sign of each function
∵ Point (1, -8) lies on the terminal side of angle Ф in standard position
∵ x is positive and y is negative
→ That means the point lies on the 4th quadrant
∴ Angle Ф is on the 4th quadrant
∵ In the 4th quadrant cosФ and secФ only have positive values
∴ sinФ, secФ, tanФ, and cotФ have negative values
→ let us find r
∵ r = 
∵ x = 1 and y = -8
∴ r = 
→ Use the rules above to find the six trigonometric functions of Ф
∵ cosФ = 
∴ cosФ =
∵ sinФ = 
∴ sinФ = 
∵ tanФ = 
∴ tanФ =
= -8
∵ secФ = 
∴ secФ =
= 
∵ cscФ = 
∴ cscФ = 
∵ cotФ = 
∴ cotФ =
Answer:
no
Step-by-step explanation:
30 cents < 10 cents/dime × d dimes < 1 dollar × 100 cents/dollar
if d = 10
30 cents < 10 cents/dime × 10 dime < 1 dollar × 100 cents/dollar
30 cents < 10 cents/dime × 10 dime < 1 dollar × 100 cents/dollar
notice how the units bolded all cancel out, just leaving cents
30 cents < 100 cents is NOT < 100 cents
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
BB' = 6
B'A = 2
Step 02:
scale factor:

The answer is:
scale factor = 3
Answer:
y = −x + 4
Step-by-step explanation:
Convert everything to oz
2 gal= 256 oz
1 cup= 8 oz
256+8+6= 270 oz
They will make 270 oz of punch
Hope I helped!!! :-)