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Rectangles/587368: If the area of a rectangle is 59 units what would the Length and width be if it has to be a whole number 1 solutions
Answer 374096 by Alan3354(31487) on 2012-03-15 16:08:51 (Show Source):
You can put this solution on YOUR website!If the area of a rectangle is 59 units what would the Length and width be if it has to be a whole number
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The only factors of 59 are 1 & 59
---> 1 by 59
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Volume/587351: a box is shaped like a rectangular prism.What happens to the volume of the box if you double the length of each edge of the box? 1 solutions
Answer 374076 by Alan3354(31487) on 2012-03-15 15:22:11 (Show Source):
You can put this solution on YOUR website!a box is shaped like a rectangular prism.What happens to the volume of the box if you double the length of each edge of the box?
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Vol = L*W*H
New Vol = 2L*2W*2H = 8 times the volume
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Volume/587319: find the radius of asphere with the following volume
a)972picm^3
b)498pimm^3
c)15 3/16pi m^3 1 solutions
Answer 374064 by Alan3354(31487) on 2012-03-15 14:00:25 (Show Source):
You can put this solution on YOUR website!find the radius of asphere with the following volume
a)972picm^3
b)498pimm^3
c)15 3/16pi m^3
==========================
Do them like this:
1. 10 in^3

Solve for r

r =~ 1.3365 inches
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You can do that for each one, or do it once and plug in the volumes.
You can make an Excel sheet to do them, too. Make it once, it works forever.
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Solve for r
 inches
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2. 20 ft^3
3. 0.45 cm^3
4. 0.002 mm^3
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Points-lines-and-rays/587290: Write the equation for the vertical line that contains point E(10, –3). 1 solutions
Answer 374049 by Alan3354(31487) on 2012-03-15 12:02:24 (Show Source):
You can put this solution on YOUR website!Write the equation for the vertical line that contains point E(10,–3).
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"Vertical" usually means parallel to the y-axis.
The line is always the same distance from the y-axis, which is the x value.
--> x = 10
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For all values of y, x = 10
It goes thru the points (10,-3), (10,3), (10,3333), (10,y) etc
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Volume/587255: A right cylinder has a radious of 6 inches and a heigh of 8 inches i want to find the lateral area of the cylinder 1 solutions
Answer 374040 by Alan3354(31487) on 2012-03-15 11:23:21 (Show Source):
You can put this solution on YOUR website!A right cylinder has a radious of 6 inches and a heigh of 8 inches i want to find the lateral area of the cylinder
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 sq inches
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Problems-with-consecutive-odd-even-integers/587243: What is the slope of the line tangent to the curve 3y^2-2x^2=6-2xy at the point (3,2)? 1 solutions
Answer 374039 by Alan3354(31487) on 2012-03-15 09:51:54 (Show Source):
You can put this solution on YOUR website!What is the slope of the line tangent to the curve 3y^2-2x^2=6-2xy at the point (3,2)?
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3y^2-2x^2=6-2xy
6ydy - 4xdx = -2(xdy + ydx) = -2xdy - 2ydx
6ydy + 2ydy = -2ydx + 4xdx
4ydy = (2x - y)dx
dy/dx = (2x - y)/4y
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f'(3,2) = (6 - 2)/(4*2) = 1/2
Tangent line: 2y = x + 1
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Problems-with-consecutive-odd-even-integers/587246: What is the area of the quadrilateral with vertices A(0,2), B(15,10), C (15,2), & D(0,-18)? 1 solutions
Answer 374038 by Alan3354(31487) on 2012-03-15 09:25:19 (Show Source):
You can put this solution on YOUR website!What is the area of the quadrilateral with vertices A(0,2), B(15,10), C (15,2), & D(0,-18)?
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Make a matrix, 2 by P, the number of points, repeat the first point.
A...B...C...D...A
0..15..15...0...0
2..10...2..-18..2
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Add the diagonal products starting at the upper left:
0 + 30 - 270 + 0 = -240
Add the diagonal products starting at the lower left:
30 + 150 + 0 + 0 = 180
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The area is 1/2 the ABS of the difference
|-240 - 180| = 420
Area = 210 sq units.
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It works for all polygons, any number of sides.
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Circles/587192: The flight path of Charlie's plane is (x-12)^2+(y-4)^2=9 and the flight path of Jackie's plane is (x-17)^2 + (y-5)^2 = 4.
If Charlie and Jackie are flying their planes at the same altitude, is it likely that the planes will collide at some time? Justify your response, clearly stating any assumptions. 1 solutions
Answer 374036 by Alan3354(31487) on 2012-03-15 08:01:26 (Show Source):
You can put this solution on YOUR website!The flight path of Charlie's plane is (x-12)^2+(y-4)^2=9 and the flight path of Jackie's plane is (x-17)^2 + (y-5)^2 = 4.
If Charlie and Jackie are flying their planes at the same altitude, is it likely that the planes will collide at some time? Justify your response, clearly stating any assumptions.
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Their flight paths don't intersect, no collision.
They are 2 circles. If you find the difference between the centers, you see it's greater than the sum of their radii --> no intersection.
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Matrices-and-determiminant/586999: Identify the solution to the system of equations.
3x-y=0
4x+2y=1
a.)(-1/2, 3/2)
b.)(1/10, 3/10)
c.)(1/9, 1/3)
d.)no solution 1 solutions
Answer 373955 by Alan3354(31487) on 2012-03-14 19:11:32 (Show Source):
You can put this solution on YOUR website!Identify the solution to the system of equations.
3x-y=0
4x+2y=1
a.)(-1/2,3/2)
b.)(1/10,3/10)
c.)(1/9,1/3)
d.)no solution
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You have 3 choices, you can try each one and see if it works.
Sub the values for x & y, and see what works.
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The alternative is to solve the system, which would be more instructive.
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Radicals/586965: The formula for the volume of a sphere is V=4/3πr^3. Find the radius of a sphere with each volume.
1. 10 in^3
2. 20 ft^3
3. 0.45 cm^3
4. 0.002 mm^3
I tried doing the problems like this: 10/4/3π; it's not the right way, but I don't know how. It has to be answered as a radical expression. How do I do that? 1 solutions
Answer 373950 by Alan3354(31487) on 2012-03-14 18:26:57 (Show Source):
You can put this solution on YOUR website!The formula for the volume of a sphere is V=4/3πr^3. Find the radius of a sphere with each volume.
1. 10 in^3

Solve for r

r =~ 1.3365 inches
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You can do that for each one, or do it once and plug in the volumes.
You can make an Excel sheet to do them, too. Make it once, it works forever.
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Solve for r
 inches
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2. 20 ft^3
3. 0.45 cm^3
4. 0.002 mm^3
I tried doing the problems like this: 10/4/3π; it's not the right way, but I don't know how. It has to be answered as a radical expression. How do I do that?
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Quadratic-relations-and-conic-sections/586749: does the following parabola open down because it is negative or up because the x is squared? y = -2x^2 + 5x - 2 1 solutions
Answer 373867 by Alan3354(31487) on 2012-03-14 09:45:53 (Show Source):
You can put this solution on YOUR website!does the following parabola open down because it is negative or up because the x is squared? y = -2x^2 + 5x - 2
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The coefficient of the x^2 term is negative --> opens downward
If it's positive, it opens upward.
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If it's a parabola, it will be Ax^2 + Bx + C = 0
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t e s t/586732: The sum of two nonnegative numbers is 9. Find these two numbers
knowing that the product of one number and the square of the other number
is a maximum. 1 solutions
Answer 373862 by Alan3354(31487) on 2012-03-14 09:37:05 (Show Source):
You can put this solution on YOUR website!The sum of two nonnegative numbers is 9. Find these two numbers
knowing that the product of one number and the square of the other number
is a maximum.
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P = x^2*(9-x) = 9x^2-x^3

f'(x) = 
-x*(x-6) = 0
--> x = 0, x = 6
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@ x=6, max value = 3*6^2 = 108
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Travel_Word_Problems/586497: Hello I really have trouble in math please solve this and teach me
The car drove 40mi/hr to work and drove back 20mi/hr to go home. How much was the total distance? 1 solutions
Answer 373792 by Alan3354(31487) on 2012-03-13 20:55:15 (Show Source):
You can put this solution on YOUR website!The car drove 40mi/hr to work and drove back 20mi/hr to go home. How much was the total distance?
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Not enough info.
No times or distances are given.
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