Questions on Algebra: Trigonometry answered by real tutors!

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Question 154264: rotation of axes question.

write equation in terms of rotated x' y' system using theta, the angle of rotation. Write the equation ?
involving x' y' in standard form.
; θ = 45°

Click here to see answer by Edwin McCravy(2922) About Me 

Question 154449: I posted a question previously but worded it wrong.
It was supposed to be find the values of the six trigonometric functions of an angle O(the o with the line through it) in standard posistion whos terminal side passes through point P
with P being (-7,24)

Click here to see answer by stanbon(26297) About Me 

Question 154517: Assuming the earth to be a perfect shere with a diameter of 8000 miles, find the angular velocity and linear speed of a point at the equator.
Click here to see answer by nerdybill(2448) About Me 

Question 155107: Solve in radians(must work with left side)
1-2sin^2*x=cos^2*x

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Question 155191This question is from textbook precalculus
: Prove the identity. (must work with left side)
(1-2sin(x)^2)=(cos(x)^2)
This question is from textbook precalculus

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Question 155226This question is from textbook precalculus
: prove (we have to work with the left side)
cos(2u)=cos^2u
This question is from textbook precalculus

Click here to see answer by stanbon(26297) About Me 
Question 155226This question is from textbook precalculus
: prove (we have to work with the left side)
cos(2u)=cos^2u
This question is from textbook precalculus

Click here to see answer by jojo14344(1483) About Me 

Question 155242: When a clock hand measuring cm in length moves through 40 minutes, how far does the tip move? Give your answer correct to 2 decimal places.
Click here to see answer by checkley77(7072) About Me 

Question 155246: When a clock hand measuring 15.6 cm in length moves through 40 minutes, how far oes the tip move? Give your answer correct to 2 decimal places.
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Question 155308: (Please Help...midnight deadline!)I really need to understand this type of problem (I'll give 2 examples):
Simplify the expressions below.
(a) For -00 < t < 00,
cos( tan^-1( t ))=____________
(b) For -1 < w < 1,
cot( cos^-1( w ))+____________
I understand that cos=adj/hyp and tan=opp/adj, but what is the relationship of cos to tan^-1 in this problem? I also understant limiting the range (ie. b), just not the relationship between cot and cos.
Appreciate any help I can get ...thanks.

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Question 155582: Given that sine theta equals 4/5 and theta is acute, find the value of the remaining 5 trigonometry functions.
Click here to see answer by Alan3354(6097) About Me 
Question 155582: Given that sine theta equals 4/5 and theta is acute, find the value of the remaining 5 trigonometry functions.
Click here to see answer by ilana(236) About Me 

Question 155588: I don't understand this problem. Please help!!!!
Your employer offers you a choice of wage scales: a monthly salary of $3200 plus commission of 7% of sales or a salary of $3700 plus a 5% commission. At what sales level would the options yield the same salary?

Click here to see answer by ankor@dixie-net.com(6693) About Me 

Question 155583: 2 sine theta + 1 = 0, 0 is less than or equal to theta which is less than 2 pi
Click here to see answer by Alan3354(6097) About Me 

Question 155903: What are the values of the indices i and j for the element that is in the fifth column and fourth row?

a. 4, 5, respectively
b. 5, 4, respectively
c. Either 4, 5 or 5, 4; they are interchangeable
d. There are no elements in matrices

Click here to see answer by Fombitz(2113) About Me 

Question 155832: Please help me on my homework
prove the identity
sec^6A-tan^6A=1+3sec^2Atan^2A

Click here to see answer by Edwin McCravy(2922) About Me 

Question 156051: If v = 5i - 12j, then | v | =
a. 5
b. -12
c. 7
d. 13

Click here to see answer by oscargut(682) About Me 

Question 156049: I^-1 =

a. 0
b. I
c. 1
d. You cannot find the inverse of this matrix

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Question 156066: When using parametric equations, what is the most often used parametric variable?
a. x
b. t
c. $d
d. θ

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Question 156050: Adding together the first ten natural numbers is an example of a(n):
a. series
b. arithmetic series
c. geometric series
d. power series

Click here to see answer by jim_thompson5910(13794) About Me 

Question 156169This question is from textbook Pre Calculus Graphical,Numerical, Algebraic
: point P is on the terminal side of angle theta. Evaulate the six trigonometric functions for theta. P(-4,-6)This question is from textbook Pre Calculus Graphical,Numerical, Algebraic

Click here to see answer by stanbon(26297) About Me 

Question 156052: If, in a system of three linear equations, it turns out that one row is a multiple of another row, then this means that these linear functions are:
a. indeterminate
b. inconsistent
c. intersecting
d. nothing; you made an error in your calculations

Click here to see answer by SAT Math Tutor(36) About Me 

Question 156185: What is the value of the infinite series governed
by and ?
a.
b.
c.
d.

Click here to see answer by Edwin McCravy(2922) About Me 

Question 156182: How many sequential values are there in a series whose difference is 3, begins at 2, ends at 14, and whose sum is 40?
a. 6
b. 4
c. 13

Click here to see answer by checkley77(7072) About Me 

Question 156302: hello im a homeschool parent and i really need our help
Find the lowest common denominator for each of the sets of fractions
1. 4 5
- ,-
5 12
2. 3 1 5
- ,- ,-
4 3 9
3. 2 7
---- , ------
a^2 b^2 a^5 b
4. 5x^2 14xy 3
------ ------ -------
3y^3 8z^2 9xy^2
5. 2r 7s 15t
------, ------ , ------
35st 5r^3 t^5 7r^7 s^5
6. xy 3y 2x
------ , ------- ,------
(x+y)^2 (x+y)^3 x+y
7. 2 7 9
---, ---, -------
3 ab 3a+3b
8. 4 3
---------- , --------
x^2 + 5x + 6 x^2 - 4
9. 17a 11a^2
----------- , ------------
a^2 - 2a - 3 a^2 - 4a + 3
10. x y+2 y^2
------------- ,------------- ,-------------
x^2 + 3x - 4 x^2 + 5x - 6 x^2 + 10x + 24
11. 5 y+2 y^2
----------- ,------------ ,-------------
y^2 - 25 y^2 + 8y + 15 y^2 - 2y - 15
12. 2x 3y
--------- ,---------
x^2 - y^2 2x + 2y
13. 5 2 3
------ ,------ , ----------
a^3 + 8 a^2 - 4 a^2 - 2a + 4

Change the following fractions to equivalent fractions with the lowest common denominator
14. 4 2 8
--, -- ,---
5 3 25
15. 5 12 4
---- ,----- ,-----
x^2 y xy^2
16. 3a 4b c
----- ,----- ,-----
2b 7c 3a
17. x 2x 1
-------- ,-------- ,---------
x^2 - 36 x - 6 x + 6
18. 5 11
----------- ,-----------
a^2 - 5a - 14 a^2 - a - 6
19. y+2 y-2
-------- ,------------
y^2 - 1 y^2 + 2y + 1

20. z 1 2z
----- ,----- ,------
x-y x+y y-x
21. xy x y
-------------- ,------- ,----------
x^2 + xy + y^2 x - y x^3 - y^3

Click here to see answer by oscargut(682) About Me 

Question 156361: A car is traveling at a speed of 45 miles per hour. Find the angular velocity of a tire in revolutions per minute if the diameter of each rim is 13 in. with 4 in. of tire between the road surface and each rim.
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Question 156358: A ramp on a freeway is circular in shape. If the radius is 54 meters and the central angle is 210 degrees, what is the length of the ramp? Give answer to 2 decimal places.
Click here to see answer by Alan3354(6097) About Me 

Question 156356: To the nearest revolution per minute, find the angular velocity of a 28 inch bicycle wheel that has a linear speed of 30 miles per hour.
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Question 156354: The minute hand of a clock is 6 cm long. To the nearest tenth, find the area of the sector covered by the minute hand of the clock in 20 minutes.
Click here to see answer by SAT Math Tutor(36) About Me 

Question 156483: 2 cars race around a circular track, in opposite directions, at constant speeds. They start at the same point and meet every 30.0 seconds. If they move in the same direction, they meet every 120.0 seconds. If the track is 1800 meters long, what is the speed of each car?
Click here to see answer by ankor@dixie-net.com(6693) About Me 

Question 156558: How do i simplify this equation further? sin120(6) over sin30 = sqrt3 over 2 multiplied by 6 over 1/2 =?
Click here to see answer by oscargut(682) About Me 

Question 156515: Simplify:
[(cscx-cotx)(cscx+cotx)]/cscx

Click here to see answer by Edwin McCravy(2922) About Me 

Question 156587: Name in degrees the smallest non-negative angle that is coterminal with -10/3 pi.
Click here to see answer by stanbon(26297) About Me 

Question 156586: Find the length of the arc intercepted by a central angle of 65 degrees in a circle of radius 10 cm.
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Question 156585: Find the angular velocity in radians per second of a wheel turning at 25 revolutions per minute.
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Question 156585: Find the angular velocity in radians per second of a wheel turning at 25 revolutions per minute.
Click here to see answer by Alan3354(6097) About Me 

Question 156584: The wheel of a truck is turning at 6 revolutions per second. The wheel is 4 feet in diameter.
A. Find the angular velocity of the wheel in radians per second.
B. Find the linear velocity in feet per second of a point on the rim of the wheel.

Click here to see answer by Alan3354(6097) About Me 

Question 156672: from the top of a fire tower, the angle from your hoizontal line of sight down to the fire on the ground is what angle?
Click here to see answer by mangopeeler07(450) About Me 
Question 156672: from the top of a fire tower, the angle from your hoizontal line of sight down to the fire on the ground is what angle?
Click here to see answer by gonzo(654) About Me 

Question 156682This question is from textbook trigonometry a right triangle approach
: Find the value of the six trigonometric functions a=2 b=3 c=?This question is from textbook trigonometry a right triangle approach

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Question 156188: If event A is required for event B to exist, and event B is required for event A to exist, then we can definitely say:
a. the events are mutually dependent
b. the events are mutually inclusive
c. the events are mutually exclusive
d. the events are mutually independent

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Question 157207: 1/3(b+12)-1/4(b+12)
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Question 157114: If the sides of a square are lengthened by 5cm, the area becomes 81cm^2. Find the length of a side of the original square.
Click here to see answer by ankor@dixie-net.com(6693) About Me 

Question 157541This question is from textbook Prentice Hall Classics, Algebra 2 with Trigonometry
: (3y-4)(4y-1)=0
Can you help me solve for (y)?
This question is from textbook Prentice Hall Classics, Algebra 2 with Trigonometry

Click here to see answer by checkley77(7072) About Me 

Question 157863This question is from textbook
: This is from a worksheet my teacher gave me. He made the problems up in his head. I didn't bring my book home with me, so I didn't know the edition number or chapter number. Sorry.This question is from textbook

Click here to see answer by vleith(1977) About Me 

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