# Anyone good at math?

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#1
Posted 14 July 2009 - 09:05 PM

The only resource the class gives me is a piece of shit book which literally would be more useful cleaning up after i drop a deuce. It's a joke..

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#2
Posted 14 July 2009 - 11:11 PM

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#3
Posted 14 July 2009 - 11:22 PM

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#4
Posted 15 July 2009 - 12:32 AM

**Mind you these are just a few, i have tons more that i have no idea what i'm doing with. Math is not my forte..**

Find the coordinates, to the nearest hundreth, of the vertices of triangle PQR with P(0,1), Q(0,-4), and R(2,5) after a 45Â° rotation about the origin.

Question 9 answers

a P(0.71, 0.71), Q(2.83, -2.83), R(2.12, -4.95)

b P(-0.71, -0.71), Q(-2.83, -2.83), R(-2.12, 4.95)

c P(-0.71, 0.71), Q(2.83, -2.83), R(-2.12, 4.95)

d P(0.71, -0.71), Q(-2.83, 2.83), R(2.12, -4.95)

Find the value if sin A=12/13 with 90Â° â‰¤ A â‰¤ 180Â° and if sin B = -7/25 with -90Â° â‰¤ B â‰¤ 0Â°.

cos(A-

Two pilots take off from the same airport. Mason heads due south. Nancy heads 23Â° west of south. After 400 land miles, how far is Nancy from Mason's route?

Find the value if sin A=12/13 with 90Â° â‰¤ A â‰¤ 180Â° and if sin B = -7/25 with -90Â° â‰¤ B â‰¤ 0Â°.

sin(A+

Find the value if sin A=12/13 with 90Â° â‰¤ A â‰¤ 180Â° and if sin B = -7/25 with -90Â° â‰¤ B â‰¤ 0Â°.

tan(A+

Find the coordinates, to the nearest hundreth, of the vertices of triangle FGH with F(0,10) G(10,0) and H(1, -1) after a 75Â° rotation about the origin.

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#5
Posted 15 July 2009 - 07:51 AM

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#6
Posted 15 July 2009 - 10:51 AM

Find the value if sin A=12/13 with 90Â° â‰¤ A â‰¤ 180Â° and if sin B = -7/25 with -90Â° â‰¤ B â‰¤ 0Â°.

cos(A-

cos(A - = cosAcosB + sinAsinB

Find the value if sin A=12/13 with 90Â° â‰¤ A â‰¤ 180Â° and if sin B = -7/25 with -90Â° â‰¤ B â‰¤ 0Â°.

sin(A+

sin(A + = sinAcosB + cosAsinB

Find the value if sin A=12/13 with 90Â° â‰¤ A â‰¤ 180Â° and if sin B = -7/25 with -90Â° â‰¤ B â‰¤ 0Â°.

tan(A+

tan(A+ = [tan(A)+tan(]/[1-tan(A)tan(],

I will try to remember some geometry when I get time and try to solve it.

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#7
Posted 15 July 2009 - 04:24 PM

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#8
Posted 15 July 2009 - 04:51 PM

**Here is some more trig**

3. Use the formula for the area of a circle, A = p r Â² , and derive the formula for the area of a sector using only the variables r and ? . Assume that ? is in radians.

4. In the diagram below, find the area of the shaded sector. The circles are tangent to one another as shown in the diagram.

Evaluate each of the following.

5. sin(Cos^1 4/5)

6. cos(Tan^-1 12/13)+

7. tan(Sin^-1 5/13)

8. cos(Sin^-1 12/13)

9. sec(Tan^-1 7/24)

10. csc(Sin^-1 9/41)

11. cos(Sin^-1 x) where -1 â‰¤ x â‰¤ 1. (Hint: Think of x as a ratio and use the Pythagorean Theorem.)

12. csc(Tan^1 1/x) where x> 0. (Hint: Draw a triangle and use the Pythagorean Theorem.)

Gabe is spending two weeks on an archaeological dig. He finds a fragment of a circular plate that his leader thinks may be valuable. The arc length of the fragment is about 1/6 the circumference of the original complete plate and measures 1.65 inches.

A similar plate found earlier has a diameter of 3.14 inches. Could Gabe's fragment match this plate?

13. Write an expression for the radius, r , of the earlier plate.

14. What is the measure, in radians, of a central angle, ? , that intercepts an arc that is 1/6 the length of the circumference of a circle?

15. Write an expression for the arc length, S , intercepted by this central angle.

16. How long would the arc length of a fragment be if it were 1/6 the circumference of the plate?

17. Could Gabe's plate be a matching plate? Explain

18. Toby finds another fragment of arc length 2.48 inches. What fraction of the outer edge of Gabe's plate would it be if this fragment were part of Gabe's plate?

The diameter of a merry-go-round at the playground is 12 feet. Elijah stands on the edge and his sister pushes him around.

19. How far does Elijah travel if he moves through an angle of 5p/4 radians?

20. Through what angle does Elijah move if he travels a distance of 80 feet around

the circumference?

Virgil sets his boat on a 1000-yard course keeping a constant distance from a rocky outcrop.

21. If Virgil keeps a distance of 200 yards, through what angle does he travel?

22. If Virgil keeps a distance of 500 yards, what fraction of the circumference of a circle does he cover?

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#9
Posted 15 July 2009 - 04:56 PM

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#10
Posted 15 July 2009 - 05:00 PM

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#11
Posted 16 July 2009 - 12:51 PM

Find the coordinates, to the nearest hundreth, of the vertices of triangle PQR with P(0,1), Q(0,-4), and R(2,5) after a 45Â° rotation about the origin.

Question 9 answers

a P(0.71, 0.71), Q(2.83, -2.83), R(2.12, -4.95)

b P(-0.71, -0.71), Q(-2.83, -2.83), R(-2.12, 4.95)

c P(-0.71, 0.71), Q(2.83, -2.83), R(-2.12, 4.95)

d P(0.71, -0.71), Q(-2.83, 2.83), R(2.12, -4.95)

Doesn't it matter what direction the rotation is, or is there some sweet property of this weird PQR triangle that I'm unaware of?