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Alan3354 answered: 30973 problems
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Sequences-and-series/393639: Find the fraction which is equivalent to 0.015 (reoccurring)
This question is driving me nuts,please help 1 solutions
Answer 279375 by Alan3354(30993) on 2011-01-12 10:26:35 (Show Source):
You can put this solution on YOUR website!Find the fraction which is equivalent to 0.015 (reoccurring)
-----------------
n = 0.0151515...
100n = 1.5151515...
- n = 0.0151515...
------------------- Subtract
99n = 1.5
n = 1.5/99
n = 1/66
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Age_Word_Problems/393684: Sarah leaves Seattle for New York in her car, averaging 80 mph across open country. One hour later a plane leaves Seattle for new york following the same route and flying 400 mph. how long will it be before the plane overtakes the car?
1 solutions
Answer 279370 by Alan3354(30993) on 2011-01-12 10:15:52 (Show Source):
You can put this solution on YOUR website!Sarah leaves Seattle for New York in her car, averaging 80 mph across open country. One hour later a plane leaves Seattle for new york following the same route and flying 400 mph. how long will it be before the plane overtakes the car?
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Sarah is 80 miles ahead (80 * 1)
The plane gains on her at 320 mph (400 - 80)
80/320 = 1/4 hour
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Equations/393375: I'm having a hard time solving for x. I know you subtract 75 and then divide by 5. What do i do next?
5x^2+75=93 1 solutions
Answer 279186 by Alan3354(30993) on 2011-01-11 18:05:50 (Show Source):
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Trigonometry-basics/393278: Can somebody please help me solve this question, it would be greatly appreciated!:)
The question is:
You decide to climb a vertical rock wall at an amusement part. From a point that is 10m from the base of the wall, the angle of elevation of the top of the wall is 72 degrees. What is the height of the wall to the nearest metre?
Thankyou! 1 solutions
Answer 279155 by Alan3354(30993) on 2011-01-11 16:22:25 (Show Source):
You can put this solution on YOUR website!From a point that is 10m from the base of the wall, the angle of elevation of the top of the wall is 72 degrees. What is the height of the wall to the nearest metre?
-----------------
tan(72) = h/10
h = 10*tan(72) =~ 30.777
h = 31 m
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Equations/393275: If sally can paint a house in 4 hours, and John can paint the same house in 6 hours, how long will it take for both of them to paint the house together?
I need step by step please i have been out of high school for 5 years and am trying to get into college. thanks 1 solutions
Answer 279143 by Alan3354(30993) on 2011-01-11 15:52:30 (Show Source):
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Trigonometry-basics/393289: I'm having a very hard time with this question, can somebody please help me!
The question is:
Prove the identity of:
sinx + sinx cot^2x=cscx
Thankyou! 1 solutions
Answer 279141 by Alan3354(30993) on 2011-01-11 15:48:25 (Show Source):
You can put this solution on YOUR website!Prove the identity of:
sinx + sinx cot^2x=cscx
-------------------------
Change everything to sin and cos.
sin + sin(cos^2/sin^2) = 1/sin
sin + cos^2/sin = 1/sin
sin^2 + cos^2 = 1
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Equations/393235: Find the shortest distance from the point (-2,7) to the line 5x – 2y – 34 = 0. Round your answer to the nearest tenth. 1 solutions
Answer 279123 by Alan3354(30993) on 2011-01-11 14:50:50 (Show Source):
You can put this solution on YOUR website!Find the shortest distance from the point (-2,7) to the line 5x – 2y – 34 = 0. Round your answer to the nearest tenth.
------------------
First, find the eqn of the line perpendicular to the given line thru the point.
Slope of the given line = 5/2
Slope m of the perpendicular line = -2/5
------------
y-7 = (-2/5)(x+2)
2x + 5y = 31 is the line perpendicular thru (-2,7)
------------
Solve for the intersection of the lines:
5x – 2y = 34
2x + 5y = 31
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(8,3) is the intersection
---------
Find the distance from (-2,7) to (8,3)

d =~ 10.8 units
-------------------
There might be a better way to do these, I'll check into it.
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Equations/393234: . Determine the coordinates of the points that divide the line segment joining C(8,1) and D(3,11) into 5 parts 1 solutions
Answer 279120 by Alan3354(30993) on 2011-01-11 14:38:26 (Show Source):
You can put this solution on YOUR website!Determine the coordinates of the points that divide the line segment joining C(8,1) and D(3,11) into 5 parts
-----------------------
Do x and y separately
x: 8, 7, 6, 5, 4, 3
y: 1, 3, 5, 7, 9, 11
--> (8,1) (7,3), etc
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Rational-functions/393219: The vertices of triangle ABC have (x,y) coordinates (4,5), (5,3) and (1,3) respectivly. What is the area of triangle ABC?
if you can show me how to solve this problem please email me at mkhla@aol.com. Thanks!!
1 solutions
Answer 279106 by Alan3354(30993) on 2011-01-11 13:48:11 (Show Source):
You can put this solution on YOUR website!The vertices of triangle ABC have (x,y) coordinates (4,5), (5,3) and (1,3) respectivly. What is the area of triangle ABC?
--------------
There's more than one way to do this, and problems like it.
Here's one:
Write the points in columns repeating the 1st point
A B C A
4 5 1 5
5 3 1 4
Add the diagonal products from upper left, then from lower left
Upper:
4*3 + 5*1 + 1*4 = 12 + 5 + 4 = 19
Lower:
5*5 + 3*1 + 1*5 = 25 + 3 + 5 = 33
Find the difference, 33 - 19 = 14
The area is 1/2 that, = 7 sq units.
-------------------------------------
This method works for all polygons, any # of sides.
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Radicals/393164: A ranger spots a forest fire while on a 40-meter observation tower. The angle of depression from the tower to the fire is 12°. To the nearest meter, how far is the fire from the base of the tower? 1 solutions
Answer 279080 by Alan3354(30993) on 2011-01-11 11:25:26 (Show Source):
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Evaluation_Word_Problems/393156: A gardener has 100 feet of fence in a rectangular vegetable garden. Find the function that models the area of the garden he can fence in terms of the width X 1 solutions
Answer 279077 by Alan3354(30993) on 2011-01-11 11:12:01 (Show Source):
You can put this solution on YOUR website!A gardener has 100 feet of fence in a rectangular vegetable garden. Find the function that models the area of the garden he can fence in terms of the width X
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Area = L * W
100 = 2(L + W)
L = 50 - W = 50 -x
Area(x) = x*(50-x) = 50x - x^2
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Rational-functions/393143: y=(x-1)^4
y=(x-1)
what real values of x, if any, satisfy the inequality (x-1)^4<(x-1)
if you can show me how to solve this problem, please email me at mkhla@aol.com. THanks!! 1 solutions
Answer 279073 by Alan3354(30993) on 2011-01-11 10:29:28 (Show Source):
You can put this solution on YOUR website!y=(x-1)^4
y=(x-1)
what real values of x, if any, satisfy the inequality (x-1)^4<(x-1)
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(x-1)^4<(x-1)
Divide by x-1
(x-1)^3 < 1
Take the cube root of both sides
x-1 < 1
x < 2
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The division by x-1 requires that x > 1
1 < x < 2
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