1. ## Math B regents

I'm doing some practice regents to prepare for the test and i got stuck on a couple problems. Here's the link to the problems:http://www.nysedregents.org/testing/...hbtestja05.pdf and here's the link to the answers:http://www.nysedregents.org/testing/...hbscorja05.pdf What i need to know is the work required to find those answers. I need help on question 23,26,30,31,32 and 33. Thanks!

I'm doing some practice regents to prepare for the test and i got stuck on a couple problems. Here's the link to the problems:http://www.nysedregents.org/testing/...hbtestja05.pdf and here's the link to the answers:http://www.nysedregents.org/testing/...hbscorja05.pdf What i need to know is the work required to find those answers. I need help on question 23,26,30,31,32 and 33. Thanks!
23)
i will use t to mean theta

2sint - 1 = 0
=> 2sint = 1
=> sint = 1/2
=> t = arcsin(1/2)
=> t = pi/6, 5pi/6 for 0<= t <= 180

26)
the length of arc of a circle is given by the formula:
s = rt

where s is the length of the arc, r is the radius of the circle and t (which i substituted for theta) is the angle that subtends the arc in radians.

we want to find the radius.

=> r = s/t = 6/1.5 = 4

don't really have time to help you with the rest right now. someone else will help soon i believe, if not, i'll answer them later (probably tomorrow)

4. k thanks, only need like 4 more.

5. Ok, all i need right now is number 16, 32, and 33

Ok, all i need right now is number 16, 32, and 33
Number 16

#32 seems to be straight-forward.

32) The number of people, y, who recycle in a community is modeled by the function:
y .= .90√3x + 400, where x is the number of months the recycling plant has been open.

Find the number of people who recycle exactly 3 months after the plant opened.
Just let x = 3.
. . . . . . . . . . . . . . ___
We have: .y .= .90√3·3 + 400 .= .90(3) + 400 .= .670

After how many months will 940 people be recycling?
. . . . . . . . . . . . . . . . . . . .__
We have the equation: .90√3x + 400 .= .940
. . . . . . . .__
Then: .90√3x .= .540
. . . . . . . .__
. . . . . . .√3x .= .6

. . . . . . . .3x .= .36

. . . . . . . . x .= .12

8. #33
Remember that a rhombus is a paralleogram with equal sides.
To be a square is has to have a 90 degree angle, this is 2 sides perpendicular or the product of the slopes -1. As you going to see there is no 90 degree angle.

9. Thanks guys. I said it once and I'll say it again. You guys truely are the best. Now if only ThePerfectHacker would stop giving me infractions.