If you consult the unit circle, you will see that:
3pi/4 in degrees is 3pi/4 * 180/pi = 3/4 * 180 = 135 degrees. And please refer to the attachment to how you can obtain the values above.
Now, lets multiply it together.
So, <span>cos(3pi/4)sin(3pi/4) =
-1/2</span>
In a proportion there are letters assigned to represent various numbers. a, b, c, and d.
a, b, c, and d are 4 non-zero rational numbers that are terms of proportion.
a/b = c/d or a:b = c:d
a and d are the end terms or known as the extremes.
b and c are the middle terms or known as the means.
With this information, we can gather that the extremes of the following proportion are 3 and 60.
3/15 = 12/60 ; a/b = c/d
a = 3 ; b = 15 ; c = 12 ; d = 60
3 and 60 are the extremes
15 and 12 are the means
Answer: i. Cost of adult ticket = $ 30
ii. Cost of child ticket = $20
Step-by-step explanation:
Define variables:
Let x= cost of 1 adult tickets , y= cost of 1 child tickets.
Form linear equations:
5x+3y = 210 (i)
2x+5y= 160 (ii)
Multiply (i) by 2 and (ii) by 5
10x +6y = 420 (iii)
10x+25y = 800 (iv)
Eliminate (iii) from (iv)
19y = 380
⇒ y= 20
Put this in (i)
Hence, Cost of adult ticket = $ 30 and Cost of child ticket = $20
She collected more 1/3 pounds on the first day
