# A few homework questions I need help on =)

• Jan 24th 2010, 08:10 AM
A few homework questions I need help on =)
I'm not very good at math and these questions are either stumping me or I don't remember what the teacher said. I don't need the answer spelled out or anything just some instructions on how to actually do them. Thanks =)

1. Given a triangle with b = 7, c = 3 , and A = 37° what is the length of a? Round to the nearest tenth.

2. Use SOLVTRI to find the missing sides and angles of triangle ABC where angle A= 51 degrees angle C= 76.3 and side C = 50. --- I have no idea what SOLVTRI is one of the questions in the book said to use it and I don't think the teacher mentioned it in class.

3.The sun always illuminates half of the moon’s surface, except during a lunar eclipse. The illuminated portion of the moon visible from Earth varies as it revolves around Earth resulting in the phases of the moon. The period from a full moon to a new moon and back to a full moon is called a synodic month and is 29 days, 12 hours, and 44.05 minutes long. Write a sine function that models the fraction of the moon’s surface which is seen to be illuminated during a synodic month as a function of the number of days, d, after a full moon. [Note: full moon equals https://kcdistancelearning.blackboar...es/es041-1.jpg illuminated.]

4. Eastport, Maine, has among the highest tides in the United States. Write a cosine function that models the oscillation of Eastport’s tides if their amplitude is 9 feet 8 inches, the equilibrium point is 12 feet 3 inches, the phase shift is
-2.68 hours, and the period is 12.34 hours.

5. Find the area of a sector with a central angle of 32° and a radius of 8.5 millimeters. Round to the nearest tenth.

6. For a circle of radius 8 feet, find the arc length s subtended by a central angle of https://kcdistancelearning.blackboar...es/mc020-1.jpg

7. Change 290° to radian measure in terms of p.

Thanks in advance for the help.. I really need to do well in this class!

• Jan 24th 2010, 12:41 PM
skeeter
Quote:

I'm not very good at math and these questions are either stumping me or I don't remember what the teacher said. I don't need the answer spelled out or anything just some instructions on how to actually do them. Thanks =)

1. Given a triangle with b = 7, c = 3 , and A = 37° what is the length of a? Round to the nearest tenth.

2. Use SOLVTRI to find the missing sides and angles of triangle ABC where angle A= 51 degrees angle C= 76.3 and side C = 50. --- I have no idea what SOLVTRI is one of the questions in the book said to use it and I don't think the teacher mentioned it in class.

3.The sun always illuminates half of the moon’s surface, except during a lunar eclipse. The illuminated portion of the moon visible from Earth varies as it revolves around Earth resulting in the phases of the moon. The period from a full moon to a new moon and back to a full moon is called a synodic month and is 29 days, 12 hours, and 44.05 minutes long. Write a sine function that models the fraction of the moon’s surface which is seen to be illuminated during a synodic month as a function of the number of days, d, after a full moon. [Note: full moon equals https://kcdistancelearning.blackboar...es/es041-1.jpg illuminated.]

4. Eastport, Maine, has among the highest tides in the United States. Write a cosine function that models the oscillation of Eastport’s tides if their amplitude is 9 feet 8 inches, the equilibrium point is 12 feet 3 inches, the phase shift is
-2.68 hours, and the period is 12.34 hours.

5. Find the area of a sector with a central angle of 32° and a radius of 8.5 millimeters. Round to the nearest tenth.

6. For a circle of radius 8 feet, find the arc length s subtended by a central angle of https://kcdistancelearning.blackboar...es/mc020-1.jpg

7. Change 290° to radian measure in terms of p.

Thanks in advance for the help.. I really need to do well in this class!

you've posted quite a list of laundry here ... most of it is very basic and at least one problem is rather difficult.

1. use the law of cosines

2. SOLVTRI must be a calculator/computer program ... check with your instructor. Otherwise, use the law of sines and be prepared to deal with the ambiguous case if applicable.

3. not an easy problem. I'd have to think about it.

4. you should already know what the values A, B, C, and D tell you about the graph of $y = A\cos[B(x \pm C)] + D$.

5. look up the formula for the area of a sector.

6. look up the formula for arc length.

7. very basic ... look up how to change degrees to radians and radians back to degrees. you should know how to go both ways.
• Jan 24th 2010, 01:31 PM