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Alan3354 answered: 30973 problems
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Triangles/389125: what is the longest side of a triangle with a perimeter of 39 if a similar triangle has side lengths of 3,4, and 6
1)12
2)13
3)18
4)20
1 solutions

Answer 275636 by Alan3354(30993) About Me  on 2010-12-28 15:57:49 (Show Source):
You can put this solution on YOUR website!
3 + 4 + 6 = 13
39/13 = 3
3*6 = 18, the longest side


percentage/389111: how do I know how much an item is if it is on sale?
1 solutions

Answer 275615 by Alan3354(30993) About Me  on 2010-12-28 14:47:56 (Show Source):
You can put this solution on YOUR website!
Look at the price tag.


testmodule/388774: A man is surveing the landscape at a spot where his eyes are 10,Om above the sea
level. In the sky there is a tiny purple cloud, the inclination of which is 62¤ above the horizon. The reflection of the cloud from the surface of the sea has an inclination, which is 65,0° below the horizon.
Find the height of the cloud above the sea level.
(Hint: The angles, which the source and reflection form with the surface of the sea, are the same.)
1 solutions

Answer 275612 by Alan3354(30993) About Me  on 2010-12-28 14:46:55 (Show Source):
You can put this solution on YOUR website!
h = 152.6 meters


Linear-systems/389092: I need to graph the equation using the slope and the y-intercept
y= -10/7x-4
Thank you
1 solutions

Answer 275608 by Alan3354(30993) About Me  on 2010-12-28 14:37:19 (Show Source):
You can put this solution on YOUR website!
Hint: Slope-intercept form is y = mx + b
m is the slope
b is the y-intercept


test/389105: How much longer is 16 yards that 16 feet? (1yeard=3feet)
1 solutions

Answer 275605 by Alan3354(30993) About Me  on 2010-12-28 14:33:51 (Show Source):
You can put this solution on YOUR website!
16 yds = 48 feet


Linear-systems/389089: I need to find the slope and y-intercept
f(x) = -6x-5
Thank you
1 solutions

Answer 275586 by Alan3354(30993) About Me  on 2010-12-28 13:50:22 (Show Source):
You can put this solution on YOUR website!
This is in slope-intercept form, y = mx + b
The slope, m = -6
The y-int, b = -5


Travel_Word_Problems/389088: The fair's train ride covers a distance of 3 miles in 20 minutes. What is the speed for the ride in miles per minute?
1 solutions

Answer 275585 by Alan3354(30993) About Me  on 2010-12-28 13:48:54 (Show Source):
You can put this solution on YOUR website!
The fair's train ride covers a distance of 3 miles in 20 minutes. What is the speed for the ride in miles per minute?
-----------
3 miles/20 min = 0.15 miles/minute


Age_Word_Problems/389038: Write the expression
9x%5E2-9x%2B1 in the form of a%28x%2Bb%29%5E2%2Bc. where a, b and c are real numbers

1 solutions

Answer 275512 by Alan3354(30993) About Me  on 2010-12-28 08:34:47 (Show Source):
You can put this solution on YOUR website!
Write the expression 9x%5E2-9x%2B1 in the form of a%28x%2Bb%29%5E2%2Bc. where a, b and c are real numbers
----------
9x%5E2-9x%2B1
= 9%28x%5E2+-+x%29+%2B+1
= 9%28x%5E2+-+x+%2B+1%2F4%29+%2B+1+-+9%2F4
= 9%28x+-+1%2F2%29%5E2+-+5%2F4


Circles/388985: The area of the cirlcle with a center O is 36pie. What is the length of diagonal of AC in rectangle ABCO shown above?
1 solutions

Answer 275476 by Alan3354(30993) About Me  on 2010-12-28 00:05:42 (Show Source):
You can put this solution on YOUR website!
No rectangle is shown.
PS It's the Greek letter pi, not the dessert, pie.


Percentage-and-ratio-word-problems/388963: Hello! I would appreciate if someone could help me on a word problem having to do with percentages and possibly show work. The problem is:
"A stereo drops from a price of 3300.00 to 2673.00. By what percentage did it drop?"
The answer is 19%, but I do not know how to get it. I tried seeing if 2673 was 19% of 3300, but its not.
Thank you for your time.
1 solutions

Answer 275417 by Alan3354(30993) About Me  on 2010-12-27 19:04:50 (Show Source):
You can put this solution on YOUR website!
"A stereo drops from a price of 3300.00 to 2673.00. By what percentage did it drop?"
----------
3300 - 2673 = 627
627/3300 = 0.19 = 19%


logarithm/388959: Write 1 - 2log7x as a single logarithm.
1 solutions

Answer 275403 by Alan3354(30993) About Me  on 2010-12-27 17:22:30 (Show Source):
You can put this solution on YOUR website!
Is it log(7x) ? or log(x) base 7 ?


Square-cubic-other-roots/388934: can someone please explain to me why
4 sq root 16^3 is equal to 2^3 which is equal to 8
thank you
1 solutions

Answer 275389 by Alan3354(30993) About Me  on 2010-12-27 16:24:23 (Show Source):
You can put this solution on YOUR website!
can someone please explain to me why
4 sq root 16^3 is equal to 2^3 which is equal to 8
-------------------
Who said it is?
4*sqrt(16^3) = 4*4^3 = 256
------------
That's 2^8, = 2^(2^3)


Sequences-and-series/388936: the sum of 3 terms of an arithmetic sequence is 15. the sum of their squares is 147. Find t1, t2, t3
1 solutions

Answer 275388 by Alan3354(30993) About Me  on 2010-12-27 16:20:54 (Show Source):


Trigonometry-basics/388942: If tan x = -3 and sin x > 0, then angle x terminates in Quadrant
a)I b)II c)III d)IV
Answer: c (Just checking to make sure that I did my HW correct)
Thanks

1 solutions

Answer 275385 by Alan3354(30993) About Me  on 2010-12-27 16:16:09 (Show Source):
You can put this solution on YOUR website!
If tan x = -3 and sin x > 0, then angle x terminates in Quadrant
a)I b)II c)III d)IV
-----------------------
In quadrant order, sine is +, +, -, -
tangent's quadrant order is +, -, +, -
Tan - and sin + --> quad 2.


logarithm/388945: Express the quantity 2ln(x)+ln(x+1)-xln(3) as a single logarithm.
1 solutions

Answer 275380 by Alan3354(30993) About Me  on 2010-12-27 16:10:12 (Show Source):
You can put this solution on YOUR website!
Logs are exponents, so they're added when terms are multiplied.
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Express the quantity 2ln(x)+ln(x+1)-xln(3) as a single logarithm.
= ln%28x%5E2%2A%28x%2B1%29%2F3%5Ex%29


Polynomials-and-rational-expressions/388951: Can someone help me solve Problem?
2x^3+8x^3+5

1 solutions

Answer 275371 by Alan3354(30993) About Me  on 2010-12-27 15:56:07 (Show Source):
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There's nothing to be solved, it's not an equation.
You can combine the 2 x^3 terms.
= 10x%5E3+%2B+5


Trigonometry-basics/388944: The expression sin 2A/2cos sqA is equivalent to
a) cotA b) sinA c) tanA d) 2tanA
Answer: c (Just checking to make sure that I did my HW correct) Thanks

1 solutions

Answer 275370 by Alan3354(30993) About Me  on 2010-12-27 15:54:47 (Show Source):
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Do you mean
sin(2A)/(2cos^2(A)) ???
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If so, it is the tan(A)


Polynomials-and-rational-expressions/386843: simplify the square root of 4xto the 2nd power
1 solutions

Answer 275369 by Alan3354(30993) About Me  on 2010-12-27 15:49:28 (Show Source):
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If it's sqrt%284x%5E2%29 then
sqrt%284x%5E2%29+=+sqrt%284%29%2Asqrt%28x%5E2%29+=+2x
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If it's sqrt%28%284x%29%5E2%29 then
= 4x


test/388796: determine the mass flow rate of fuel from the gasoline tank to the car fuel injenction system.Assume that the gasoline consumption of the car is 20 mpg when the car is moving at 60 mph.Use the specifi gravity value of 0.72 for the gasoline ?
1 solutions

Answer 275368 by Alan3354(30993) About Me  on 2010-12-27 15:44:33 (Show Source):
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60 mph = 1 mile/minute
20 mpg = 1/20 gallon per mile = 0.05 gal/minute
1 gallon =~ 232 cubic inches = 3802 cc
0.05 * 3802 * 0.72 = 136.86 grams/minute


Pythagorean-theorem/388931: the square of the hypotenuse of this triangle is 400 cm. Determine the actual measures of the hypotenuse and sides a and b of this right triangle.
1 solutions

Answer 275362 by Alan3354(30993) About Me  on 2010-12-27 15:10:49 (Show Source):
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the square of the hypotenuse of this triangle is 400 cm. Determine the actual measures of the hypotenuse and sides a and b of this right triangle
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Insufficient info.
It could be 20, 16 & 12, or
20, 10 and sqrt(300), or any of an ifinite # of combinations.


Evaluation_Word_Problems/388928: How do i factor -x^4+x^3+8x^2-12x
1 solutions

Answer 275360 by Alan3354(30993) About Me  on 2010-12-27 15:06:54 (Show Source):
You can put this solution on YOUR website!
Divide out x or -x.
12 is the last term, so sub ± 1, 2, 3 & 4 for x and see if the polynomial is zero.
If +1 makes it zero, then (x-1) is a factor, etc
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If you find a factor, divide by it, then you have a quadratic left.



Pythagorean-theorem/388930: the hypotenuse of this triangle is 17 meters. if there are no decimal answers, what would the actual measures of sides a and b have to be?
1 solutions

Answer 275356 by Alan3354(30993) About Me  on 2010-12-27 14:47:24 (Show Source):
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8 & 15 meters


Travel_Word_Problems/388922: If it takes 8 hours to drive 496 miles, what is the speed limit all the way there?
1 solutions

Answer 275355 by Alan3354(30993) About Me  on 2010-12-27 14:46:30 (Show Source):
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There's no connection between the average speed of 62 mph and the speed limit.


Volume/388919: If a right circular cone has radius of 9 and height of 12, what is its volume in terms of pi?
1 solutions

Answer 275353 by Alan3354(30993) About Me  on 2010-12-27 14:42:44 (Show Source):
You can put this solution on YOUR website!
Vol+=+pi%2Ar%5E2%2Ah
Sub 9 for r, and 12 for h.


Pythagorean-theorem/388916: A sq. + B sq. = 2304 Right Triangle
1 solutions

Answer 275338 by Alan3354(30993) About Me  on 2010-12-27 12:32:01 (Show Source):
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Lower case is used for sides, CAPs for angles.
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a%5E2+%2B+b%5E2+=+2304+=+48%5E2
Do you have a question?


Angles/388914: Pete is designing a company logo by dividing a circle into five equal pie-shaped sections. How many degrees are in angle A? Angle A from one of the pieces and the radius of the circle is 10 inches.
1 solutions

Answer 275337 by Alan3354(30993) About Me  on 2010-12-27 11:57:36 (Show Source):
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If angle A is at the center, it's 360/5 = 72º = 2pi/5 radians
If it's somewhere else, you'll have to provide more info.


Triangles/388913: find the third side of a triangle from these data:
1) two side of equal length of 2700 miles;
2) the side are separated by 1 degree.
3) what is the length of the 3rd. side?
4) what is the formula to solve the problem?
1 solutions

Answer 275329 by Alan3354(30993) About Me  on 2010-12-27 10:54:05 (Show Source):
You can put this solution on YOUR website!
This was done 1-2 days ago.
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The bisector of the 1º gives 2 right triangles.
1/2 the 3rd side = 2700*sin(0.5º) =~ 23.5616 miles
x2 =~ 47.12 miles
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Or, use the Cosine Law:
s^2 = 2700^2 + 2700^2 - 2*2700*2700*cos(1º)
Same answer.
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PS There is "a formula" to solve this problem, but it's the "hard way" to do it.
Many problems don't have a formula, you have to figure them out.


testmodule/388845: A man is surveing the landscape at a spot where his eyes are 10,Om above the sea
level. In the sky there is a tiny purple cloud, the inclination of which is 62°above the horizon. The reflection of the cloud from the surface of the sea has an inclination, which is 65° below the horizon.
Find the height of the cloud above the sea level.
Hint: The angles, which the source and reflection form with the surface of the sea, are the same
I REALLY CANT FIND WHERE IS THE MISSING PART
1 solutions

Answer 275319 by Alan3354(30993) About Me  on 2010-12-27 09:37:07 (Show Source):
You can put this solution on YOUR website!
A sketch is needed.
email me via the thank you note, and I'll send it.


Trigonometry-basics/388837: 1) What is the value of sin (Arc cos 1/x)?
a) sqrt1-xsq/x
b) sqrt1+xsq/x
c) x/sqrt xsq+1
d) sqrt xsq-1/x
Answer : a
Thanks
1 solutions

Answer 275266 by Alan3354(30993) About Me  on 2010-12-26 19:37:59 (Show Source):
You can put this solution on YOUR website!
What is the value of sin (Arc cos 1/x)?
a) sqrt1-xsq/x
b) sqrt1+xsq/x
c) x/sqrt xsq+1
d) sqrt xsq-1/x
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Use a circle of radius x
The side adjacent = 1
cos = 1/x
The side opposite = sqrt(x^2 - 1)
sin = sqrt(x^2 - 1)/x
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Distributive-associative-commutative-properties/388846: determine whether (-4,5) is a solution of 4x + 8y=1.
is(-4,5) a solution to the equation?
yes or no
1 solutions

Answer 275252 by Alan3354(30993) About Me  on 2010-12-26 16:09:20 (Show Source):
You can put this solution on YOUR website!
determine whether (-4,5) is a solution of 4x + 8y=1.
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Sub -4 for x and 5 for y. See if it = 1.


Parallelograms/388818: ABCD is a parallelogram.solve for x and find the lengths of BC and AD?
1 solutions

Answer 275227 by Alan3354(30993) About Me  on 2010-12-26 11:32:00 (Show Source):
You can put this solution on YOUR website!
Not enough info.