(csc x-1)(csc x+1)=csc²x-1²=csc²x-1=(1/sin x)² -1=1/sin x² - sin²x/sin²x=
=(1-sin²x)/sin² x = cos² x/ sin² x = (cos x/sin x)²= (cot x)²
Step-by-step explanation:
Assuming 10 cups of lemon-lime soda and 5 cups of orange soda make 15 cups of punch, we can write proportions for each problem.
x / 130 cups punch = 10 cups lemon-lime / 15 cups punch
x = 86.67 cups lemon-lime soda
y / 130 cups punch = 5 cups orange soda / 15 cups punch
y = 43.33 cups orange soda
x / 65 cups punch = 10 cups lemon-lime / 15 cups punch
x = 43.33 cups lemon-lime soda
y / 65 cups punch = 5 cups orange soda / 15 cups punch
y = 21.67 cups orange soda
x / 195 cups punch = 10 cups lemon-lime / 15 cups punch
x = 130 cups lemon-lime soda
y / 195 cups punch = 5 cups orange soda / 15 cups punch
y = 65 cups orange soda
Answer:
7 inches
Step-by-step explanation:
First you have to find the average height of each class.
4th Grade:
56, 47, 54, 51, 53, 58, 48, 54, 46, 53
Then you have add it all up and divide it by how many students there are.
56 + 47 + 54 + 51 + 53 + 58 + 48 + 54 + 46 + 53 = 520
520 ➗10= 52
Same process for the 7th Grade.
You end up getting 52 and 59. You then Subtract it to get the answer to the question.
52 - 59= 7 inches
Can't answer without a picture
They are $0.2 each
10/50=.20
