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Trigonometry-basics/93639: i dont exactly know what theis problem would be identified as, so i put it as test.
at a distance of 10.8 meters from a tree, the angle of elevation to the top of the tree is 26 degrees. how tall is the tree.
not from a textbook***
1 solutions
Answer 68202 by funmath(2873)   on 2007-08-21 18:02:33 (Show Source):
You can put this solution on YOUR website!at a distance of 10.8 meters from a tree, the angle of elevation to the top of the tree is 26 degrees. how tall is the tree.
If you draw this out you would see a right triangle from the point to the tree to the top of the tree.
The tangent of an angle of a right triangle = opposite/adjacent
Use a scientific calculator to find: x=5.2675 meters
You can round off to whatever decimal you were asked to like x=5.27 meters
Happy Calculating!!!
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Quadratic-relations-and-conic-sections/93460: This question is from textbook
Indicate which type of conic what the following problem represents someone please help (x-3)^2/9 + (y-2)^2/4 = 1
1 solutions
Answer 68053 by funmath(2873) on 2007-08-20 17:08:54 (Show Source):
You can put this solution on YOUR website!Indicate which type of conic what the following problem represents someone please help (x-3)^2/9 + (y-2)^2/4 = 1
This is an ellipse because both the x and y are squared. They are separated by +. And the whole thing =1.
It's in this form:  therefore, it's an ellipse.
Happy Calculating!!!
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Linear-equations/93463: "Write an equation of the line with slope -1/3 and y-intercept -3."
1 solutions
Answer 68052 by funmath(2873) on 2007-08-20 17:03:00 (Show Source):
You can put this solution on YOUR website!"Write an equation of the line with slope -1/3 and y-intercept -3."
The slope-intercept form of a line is:  , where m=slope and b=y-intercept.
Your m=-1/3 and b=-3, therefore:
You don't need parentheses in the written answer, but the computer wants them.
Happy Calculating!!!!
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Quadratic-relations-and-conic-sections/93464: This question is from textbook
Indicate which type of conic what the problem below represents
x^2 + 4x = y - 4
1 solutions
Answer 68048 by funmath(2873) on 2007-08-20 16:55:21 (Show Source):
You can put this solution on YOUR website!Indicate which type of conic what the problem below represents
x^2 + 4x = y - 4
When either the x or the y is squared, but not both, you have a parabola. When the x is squared you have a parabola that opens vertically (up or down). If +1 is the coefficient of y and x^2 has a positive coefficient, the parabola opens upward.
Therefore, this represents a parabola that opens upward like this:
Happy Calculating!!!
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Quadratic_Equations/92105: I need some help
I am not sure what method was used to solve this problem
4x^2-8x+3=5
4x^2-8x-2=0
2x^2-4x-1=0
x=4+-square root 16-4*2*-1/4
x=4+-square root 24/4
x=4x-2 square root 6/4
x=1+1/2square root6 or
x=1-1sqaure root6
Thank you for the help
1 solutions
Answer 66950 by funmath(2873) on 2007-08-09 16:43:47 (Show Source):
You can put this solution on YOUR website!What method was used to solve this problem?
The quadratic formula was used to solve the problem.
4x^2-8x+3=5
First put the equation in this form: 
4x^2-8x-2=0
Then,(and this is optional) they divided every thing by the greatest common factor, 2.
2x^2-4x-1=0
a=2 b=-4 and c=-1
The quadratic formula is: 
x=4+-square root 16-4*2*-1/4
x=4+-square root 24/4
Here, I've corrected a slight error:
 or 
Happy Calculating!!!!
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Polynomials-and-rational-expressions/92102: Find the values that make the rational expression undefined.
1 solutions
Answer 66946 by funmath(2873) on 2007-08-09 16:11:04 (Show Source):
You can put this solution on YOUR website!Find the values that make the rational expression undefined.
Anything that would make the denominator =0 would make the expression undefined:
Factor.
Set each factor = to 0 and solve for r.
r-3=0 or r+2=0
r-3+3=0+3 or r+2-2=0-2
r=3 or r=-2
Makes the expression undefined.
Happy Calculating!!!!
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Rate-of-work-word-problems/92093: The time "t" required to empty a tank varies inversely as the rate "r" of the pumping. If a pump can empty a tank in 45 minutes at a rate of 600 kL/min, how long will it take a pump to empty the same tank if its rate is 1000 kL/min?
1 solutions
Answer 66945 by funmath(2873) on 2007-08-09 16:06:16 (Show Source):
You can put this solution on YOUR website!The time "t" required to empty a tank varies inversely as the rate "r" of the pumping. If a pump can empty a tank in 45 minutes at a rate of 600 kL/min, how long will it take a pump to empty the same tank if its rate is 1000 kL/min?
t varies inversely with r, so 
We need to find k. Let t=45 and r=600
So our formula therefore is: 
If r=1000 kL/min then:
 min
t=27 min
Happy Calculating!!!
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Linear-equations/92090: I am having trouble solving this problem. Can somebody please help me.
L has y-intercept (0,2) and is perpendicular to the line with equation
2x-3y=6.
Thank you.
1 solutions
Answer 66927 by funmath(2873) on 2007-08-09 14:52:18 (Show Source):
You can put this solution on YOUR website!L has y-intercept (0,2) and is perpendicular to the line with equation
2x-3y=6.
In order to find the equation of a line we need a slope. Perpendicular lines have slopes that are negative reciprocals of each other. That means that they are opposite signs and upside down from each other.
The slope-intercept form of a line is: , where m=slope and (0,b)=y-intercept.
Put 2x-3y=6 into slope-intercept form by solving for y:
The slope of this line is m=2/3, so the slope of your line is m=-3/2
Now plug m=-3/2 and (0,b)=(0,2) into the slope intercept form:
Happy Calculating!!!
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Graphs/92088: Can someone please help me solve this problem. I am having a lot of trouble working it out.
L has y-intercept (0,-3)and is parallel to the line with equation y=2/3x+1.
Thank you.
1 solutions
Answer 66925 by funmath(2873) on 2007-08-09 14:42:42 (Show Source):
You can put this solution on YOUR website!L has y-intercept (0,-3)and is parallel to the line with equation y=2/3x+1.
Parallel lines have equal slopes. The slope-intercept form of a line is: , where m=slope and (0,b)=y-intercept.
The slope of  is m=2/3. Therefore, your line also has a slope of m=2/3.
So m=2/3 and (0,b)=(0,-3), plug them into the slope-intercept form of the line and you have:
Happy Calculating!!!
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Travel_Word_Problems/92087: A car travels on the freeway at an average speed of 54 miles per hour,How many miles does it travel in 3 hours 40 minutes
1 solutions
Answer 66924 by funmath(2873) on 2007-08-09 14:37:29 (Show Source):
You can put this solution on YOUR website!A car travels on the freeway at an average speed of 54 miles per hour,How many miles does it travel in 3 hours 40 minutes
First convert the time to hours.
3hr + 40 min*(1hr/60min)
3hr+  hr
3hr+  hr
The distance formula is:
 , where d=distance, r=rate, and t=time.
r=54mi/hr and t=11/3hr
Happy Calculating!!!!
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Linear-equations/92082: Write the equation of the line passing through each of the given pairs of points. Write your result in slope - intercept form where possible.
(-1,3) (4,-2)
1 solutions
Answer 66920 by funmath(2873) on 2007-08-09 14:27:33 (Show Source):
You can put this solution on YOUR website!Write the equation of the line passing through each of the given pairs of points. Write your result in slope - intercept form where possible.
(-1,3) (4,-2)
In order to find the equation of a line, you need a point and a slope. You don't have a slope, but you can find the slope between the two points using the point slope formula:  , where m=slope and (x1,y1) and (x2,y2) are the given points.
(x1,y1)=(-1,3) and (x2,y2)=(4,-2)
Now you have a point and a slope. You can find the equation of the line using the point slope formula:  , where m=slope and (x1,y1) is a given point.
m=-1 and (x1,y1)=(-1,3)
Slope-intercept form is , where m=slope and (0,b)=y-intercept. Solve the equation for y.
Happy Calculating!!!
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Graphs/92060: I cannot understand how to find b in y = mx + b?
as follows:
Question: Put in y = mx + b form, then graph. x-intercept=4, slope=-3
so I wrote it as follows:
y=-3x+b
= 0=-3(4)+b
and here I have the problem, to find b I dont know i I should multiply 3(4) first, or try 0+3=(4)+b... or 0/4=3+b...
I usually come up with b=12, b=-12, b=3/4.... and they say the answer is 4, as in y=-3x+4
Thank you in advance for any aid that you can offer me...
yours truly, Michael
1 solutions
Answer 66888 by funmath(2873) on 2007-08-09 11:54:51 (Show Source):
You can put this solution on YOUR website!Hi Michael,
If the x-intercept is 4, you're right, b=12. If the y-intercept is 4, then b=4. Check the problem to make sure you copied it right. There could be a type-o in the book.
find b in y = mx + b?
as follows:
Question: Put in y = mx + b form, then graph. x-intercept=4, slope=-3
y=-3x+b
0=-3(4)+b
0=-12+b
12+0=12-12+b
12=b
y=-3x+12
OR if the question was:
Put in y=mx+b form, then graph. y-intercept=4, slope=-3
y=-3x+4
If you need help with the graph, let me know.
Happy Calculating!!!!
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real-numbers/92054: This question is from textbook
please help me simplify if possible an if can't be simplified, say "not possible" the problem
2 sqrt(3) + sqrt (27) - sqrt (1/3)
1 solutions
Answer 66887 by funmath(2873) on 2007-08-09 11:31:48 (Show Source):
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real-numbers/92059: This question is from textbook
I did the work for 2.346 i got 2 346/1000 = 2346/1000 now is it a rational or irrational ??
1 solutions
Answer 66879 by funmath(2873) on 2007-08-09 11:03:52 (Show Source):
You can put this solution on YOUR website!It's rational.
A rational number is number of the form  , where p and q are integers and q does not equal 0.
Happy Calculating!!!
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Rational-functions/91937: find the LCD for 9/a^2+8a+16 and 6a/5a+20
a. 5(a+4)^2
b. (a+4)(5a+20)
c. 5(a+4)^3
d. (a^2+8a+16)(5a+20)
my final is tomorrow and i still dont understand this LCD concept.
1 solutions
Answer 66771 by funmath(2873) on 2007-08-08 15:38:43 (Show Source):
You can put this solution on YOUR website!find the LCD for 9/a^2+8a+16 and 6a/5a+20
a. 5(a+4)^2
b. (a+4)(5a+20)
c. 5(a+4)^3
d. (a^2+8a+16)(5a+20)
First, factor both denominators:
Therefore the LCD has 2 factors of (a+4) and 1 factor of 5.
Happy Calculating!!!!
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real-numbers/91929: This question is from textbook
determine if the following problem is rational or irrational. sqrt(625) please help
1 solutions
Answer 66762 by funmath(2873) on 2007-08-08 14:44:41 (Show Source):
You can put this solution on YOUR website!determine if the following problem is rational or irrational.
You can tell if something is rational if it can be written in the form: , where p and q represent integers and q is not 0.
25 can be written as a fraction:  , therefore is rational.
Happy Calculating!!!!
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Triangles/91896: yes, i would like to know how do i figure out the square footage of a triangle?
1 solutions
Answer 66757 by funmath(2873) on 2007-08-08 13:39:25 (Show Source):
You can put this solution on YOUR website!The formula for the area of a triangle is  , A=area, b=base, and h=height.
There are other ways to find the area if you're in trig or geometry.
Happy Calculating!!!
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