Answer:
See solution below
Step-by-step explanation:
Given the expression

Recall that
cos x = sin(90-x)
cos(x+30 ) = sin (90-(x+30)
= sin(90-x-30)
= sin(60-x)
Substitute

Answer: 4.
Step-by-step explanation: In this case it is easier to imagine it on the number line: the y coordinates are the same, so the distance is only in x direction. On the positive side it is 2 2/3 to zero and on the negative, 1 1/3 to zero. Total is 1 1/3 + 2 2/3 = 4. Or the proper writing: 2 2/3 - (-1 1/3) = 4
Answer:
1500km
Step-by-step explanation:
1cm=100km
15•100=1500km
Answer:
Step-by-step explanation:
It usually works well to let a variable represent quantity of the highest-value contributor. Here, that is the quantity of adult tickets.
Let "a" represent the number of adult tickets sold. Then (324-a) is the number of admission fees for children. The total revenue is ...
5.40a +2.50(324 -a) = 1390
2.90a +810 = 1390 . . . . eliminate parentheses
2.90a = 580 . . . . . . . . . subtract 810
a = 200 . . . . . . . . . . . . . .divide by 2.90
The number of children admitted was 124; the number of adults admitted was 200.
Answer:
a. reflection
b. rotation, translation
Step-by-step explanation: