Answer:
x = 35.68533471.. degrees
Step-by-step explanation:
5-7-12 right triangle
According to Soh Cah Toa, the angle you are looking for is sin(x) = 7/12. Solve.
The square root is

Just square the top and bottom of the fraction.

and

so we have 12/16 and then we reduce to 3/4
Answer:
The maximum number of sandwiches she can buy is 24.
Step-by-step explanation:
We can create a function to represent the cost of her team's lunch in function of the number of people in the team. We have:

Since she needs to stay on budget, the cost has to be less or equal to 170, therefore:

Since she can't buy 0.8 sandwiches, the maximum number of sandwiches she can buy is 24.
Answer:
B = 73°, c = 107°, d= 107°
Step-by-step explanation:

4x - 5y = 24
4(6) - 5(0) = 24
24 - 0 = 24
24 = 24 (correct)....so (6,0) is a solution
4(1) - 5(-4) = 24
4 + 20 = 24
24 = 24 (correct)...and (1,-4) is a solution