Answer:
A. 13%
Step-by-step explanation:
let's suppose there's 1000 bars of chocolate in general
70 % dark = 700 dark choco bars
30 % milk = 300 milk choco bars
20 % have nuts = 200 bars have nuts
80 % don't have nuts = 800 bars don't have nuts
if 90 % of dark chocolate bars don't have nuts, that means 630 dark chocolate bars don't have nuts, but 70 have nuts
200 bars in general have nuts, if only 70 dark chocolate bars have nuts,
200 - 70 = 130
130 = 13%
Reflection across the y-axis
1h 35min + 1h 35min = 3h 10min
The complex number would turn into 2(cos -pi+i sin -pi)
9514 1404 393
Answer:
- sin(θ) = -7/√65
- csc(θ)=-√65/7
- cot=-4/7
Step-by-step explanation:
For the sine (and cosecant) function, we need to know the distance from the origin to the given point. The distance formula works for that.
d = √(4² +(-7)²) = √(16 +49) = √65
The sine is the ratio y/d; the cosecant is the inverse of the sine. The cotangent is the ratio x/y.
sin(θ) = y/d = -7/√65
csc(θ) = 1/sin(θ) = -√65/7
cot(θ) = x/y = -4/7
_____
If you need to have the denominator be rational for the sine, then multiply by √65/√65 to get sin(θ) = (-7/65)√65.