Answer:
a) 3.507
b) 75.48
c) 78.41
Step-by-step explanation:
Problem A
The opposite side of the angle and the hypotenuse are involved in the question. Therefore you will be using the sine.
sin(26) = x / 8 Multiply both sides by 8
8*sin(26) = x Sin(26) = 0.4384
8*0.4384 = x Do the multiplication
3.507 = x
Problem B
The side adjacent and the hypotenuse are used in this problem. The angle is given, so you are working with the cosine.
Cos(58) = adjacent / hypotenuse
Cos(58) = 0.5299
0.5299 = 40/x Multiply both sides by x
0.5299 x = 40 Divide both sides by 0.5299
x = 40 / 0.5299
x = 75.48
Problem C
The opposite side and the adjacent side are involved and the angle is given.
Tan(71) = opposite / adjacent
tan(71) = 2.904
2.904 = x / 27 Multiply both sides by 27
2.904 * 27 = x Combine
x = 78.414
I'm pretty sure the answer is c. hope this helps
16÷4/5 is 0.8
Step-by-step explanation:
i did it in a computer
3-2/7 = 0.14285714
1-1/4 = 0/4
Answer:
650 tickets for the main floor and 475 tickets for the balcony were sold.
Step-by-step explanation:
From the information given, you can write the following equations:
x+y=1125 (1)
8x+6y=8050 (2), where:
x is the number of tickets for the main floor
y is the number of tickets for the balcony
First, you can solve for x in (1):
x=1125-y (3)
Second, you can replace (3) in (2):
8(1125-y)+6y=8050
9000-8y+6y=8050
9000-2y=8050
9000-8050=2y
950=2y
y=950/2
y=475
Third, you can replace the value of y in (3) to find x:
x=1125-y
x=1125-475
x=650
According to this, the answer is that 650 tickets for the main floor and 475 tickets for the balcony were sold.
