Answer:
Step-by-step explanation:
Let's see how well I can explain this. 
is the same as a 30 degree angle which is in quadrant 1. If you picture the unit circle, right in the center of it is the origin. If you draw a straight line from 30 degrees and through the center (the origin), you will automatically "connect" with the reference angle of 30 (this is true for ALL angles on the unit circle). This puts us in quadrant 3. In quadrant 3, x is negative and so is y. So the terminal point of the reference angle for 30 degrees has the same exact values, but both of them are negative (again, because both x and y are negative in quadrant 3). I can't see your choices but the one you want looks like this:
Answer: The first machine would cost $420
and the second machine would cost $432
you should buy the first machine
Step-by-step explanation:If you get a 30% discount, then you are paying 70% of the selling price.
Machine 1: 600(.70) = 420
Machine 2: A 10% discount means you pay 90%
600(.90) = 540 But now you get a 20% discount on that amount, which means you would pay 80%
So, 540(.80) = 432
Answer:
x = 3
y = 0
z = 8
Step-by-step explanation:
a) 3x + 3y - z = 1
b) z = 8
c) -x -3y + 2z = 13
a) 3x + 3y - 8 = 1 (substitution)
a) 3x + 3y = 9
c) - x - 3y + 2(8) = 13 (substitution)
c) -x - 3y + 16 = 13
c) -x - 3y = -3
(3x + 3y = 9) + (-x -3y = -3)
= 2x = 6
x = 3
a) 3(3) + 3y - 8 = 1
9 + 3y - 8 = 1
y = (1 -9 + 8)/3
y = 0
Considering the perimeter of a square, it is found that:
- The length of one side of the garage originally was of 61.5 ft.
- The length of one side of the garage now is of 92.25 ft.
- The percent increase in the length of one side was of 50%.
<h3>What is the perimeter of a square?</h3>
The perimeter of a square of side length s is given by four times the length, that is:
P = 4s.
Before the change, the perimeter was of 246 ft, hence:
4s = 246
s = 246/4
s = 61.5.
The length of one side of the garage originally was of 61.5 ft.
After that, the perimeter increased by 50%, hence:
P = 246 x 1.5 = 369.
4s = 369
s = 369/4
s = 92.25.
The length of one side of the garage now is of 92.25 ft.
The percent increase is the increase divided by the initial value, hence:
(92.25 - 61.5)/61.5 = 50%.
The percent increase in the length of one side was of 50%.
More can be learned about the perimeter of a square at brainly.com/question/10489198
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