Answer:
Cosecant U = 53 / 28
Step-by-step explanation:
Please see attached photo for diagram.
We'll begin by calculating the ratio of sine U. This can be obtained as follow:
Angle U = θ
Opposite = 28
Hypothenus = 53
Sine U =?
Sin θ = Opposite / Hypothenus
Sine θ = 28 / 53
Thus,
Sine U = 28 / 53
Finally, we shall determine the ratio of cosecant U. This can be obtained as follow:
Sine U = 28 / 53
Cosecant U =?
Cosecant U = 1 / Sine U
Cosecant U = 1 ÷ 28 / 53
Cosecant U = 1 × 53 / 28
Cosecant U = 53 / 28
To do these problems, you plug in the ‘n’ value given into the equation.
a. 6j - 3 : j = 4
6(4) - 3
24 - 3
21
b. 1/2b + 5 : b = 14
1/2(14) + 5
7 + 5
12
c. 8 + 4k : k = 3.5
8 + 4(3.5)
8 + 14
22
Answer:
5 ham sandwiches
Step-by-step explanation:
To find the number of ham sandwiches sold, we should find the pair of numbers that have a difference of 6 and add to 16.
- 1 ham sandwich, 7 turkey sandwiches = 8 sandwiches
- 2 ham sandwiches, 8 turkey sandwiches = 10 sandwiches
- 3 ham sandwiches, 9 turkey sandwiches = 12 sandwiches
- 4 ham sandwiches, 10 turkey sandwiches = 14 sandwiches
- 5 ham sandwiches, 11 turkey sandwiches = 16 sandwiches
While this method isn't always very efficient, it worked pretty well for this case!
Therefore, the answer is 5 ham sandwiches.
Answer:
see below
Step-by-step explanation:
The third table shows a relationship of y=2x.
_____
Essentially, you have to see whether the value of y/x is constant for all the values in a table. If it is not, then the relation is not proportional.
in the first table, -4/-2 ≠ -3/-1
in the second table, -4/-2 ≠ 3/1
in the fourth table, -4/-2 ≠ 6/2