Answer:
-29/20
Step-by-step explanation:
The cosecant function is the inverse of the sine function. Both sine and cosecant are odd functions, meaning csc(-x) = -csc(x) = -1/sin(x).
csc(-θ) = -1/sin(θ) = -1/(20/29) = -29/20
Average rate of change = change in y ÷ change in x
We already know the change in x because we are measuring the x values from -3 to 0.
change in x = 0-(-3) = 3
To find the change in y find the difference between the corresponding y-values when x=0 and when x=-3.
change in y = 0.5-2 = -1.5
average rate of change = -1.5/3 = -0.5
answer: -0.5
You can use at most 24 beads that are 10 inches long to decorate the rope.
Step-by-step explanation:
Given,
Length of rope = 120 feet
1 foot = 12 inches
20 foot = 20*12 = 240 inches
Length of bead = 10 inches
Let,
x represents the number of beads used on rope.
As the rope is 240 inches long, therefore, the total length of beads cannot exceed 240 inches.
Length of each bead*Number of beads ≤ length of rope

Dividing both sides by 10

You can use at most 24 beads that are 10 inches long to decorate the rope.
Keywords: inequality, division
Learn more about inequalities at:
#LearnwithBrainly
I believe this would be 51