cot(<em>θ</em>) = cos(<em>θ</em>)/sin(<em>θ</em>)
So if both cot(<em>θ</em>) and cos(<em>θ</em>) are negative, that means sin(<em>θ</em>) must be positive.
Recall that
cot²(<em>θ</em>) + 1 = csc²(<em>θ</em>) = 1/sin²(<em>θ</em>)
so that
sin²(<em>θ</em>) = 1/(cot²(<em>θ</em>) + 1)
sin(<em>θ</em>) = 1 / √(cot²(<em>θ</em>) + 1)
Plug in cot(<em>θ</em>) = -2 and solve for sin(<em>θ</em>) :
sin(<em>θ</em>) = 1 / √((-2)² + 1)
sin(<em>θ</em>) = 1/√(5)
-1, -1 I think is the answer
Answer:
84 seconds
Step-by-step explanation:
Because if you divide all of that you would get that answer
Answer:
7. 5 
pizza
8. B
9. 11 
inches
10. -12
11. 
12. 4
Step-by-step explanation:
7. 3 
+ 2 
make them mixed fractions: 
+ 
get a common denominator by multiplying by 4: 
+
add the numerators: 
simplify the fraction by dividing 45 by 8: 5
8. 3 x 6 = 18
5 x 6 = 30
7 x 6 = 42
9 x 6 = 54
therefore, y = 6x
9. 5:7 is similar to 8:L
divide 8 by 5: 1 
multiply 7 by 1 : 11
L = 11 inches
10. 5 - 2x = 29
subtract 5 from each side: -2x = 24
divide each side by -2: x = -12
11. fruit = 15%
15% = 15/100
simplify by dividing by 5:
12. the y-intercept is where the line crosses the y-axis (the vertical one). the line crosses the y-axis at 4.
Answer:
The number sold at $12.50 is 25
The number sold at $9.50 is 62
Step-by-step explanation:
Hi, to answer this question we have to write a system of equations:
x 12.50 + y 9.50=901.50
x+y= 87
Where
x= number of pottery pieces sold
y= number of pottery pieces sold at a decreased price
Multiplying the second equation by 9.50, and subtracting the second equation to the first equation:
12.50 x + 9.50y = 901.50
-
9.50 x+ 9.50 y= 826.5
__________________
3 x = 75
Solving for x
x =75/3
x = 25
Replacing x=25 on any equation:
x+y= 87
25+y =87
y=87-25
y= 62
