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test/266018: a stone falls from a ledge and takes 16 seconds to hit the ground. The stone has an original velocity of 0 m/s. How tall is the ledge? 1 solutions
Answer 195502 by Alan3354(30993) on 2010-02-05 11:32:25 (Show Source):
You can put this solution on YOUR website!9.8 meters/sec/sec is apx the gravitational acceleration on Earth.
Neglecting air friction:
s = 4.9t^2 = 4.9*16^2
s = 1254.4 meters
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~ 4100 feet
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Linear-equations/266011: Find an equation of the line containing the given pair of points: (1/6,-1/3)and (5/6,3) What is the equation of the line? 1 solutions
Answer 195500 by Alan3354(30993) on 2010-02-05 11:28:08 (Show Source):
You can put this solution on YOUR website!Find an equation of the line containing the given pair of points:
(1/6,-1/3)and (5/6,3)
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1st find the slope, m
m = diffy/diffx = (-1/3 - 3)/(1/6 - 5) = (-10/3)/(-29/6)
m = 20/29
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Use y = mx + b and either point to find b:
3 = (20/29)*(5/6) + b
b = 37/87
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y = (20/29)x + 37/87 slope-intercept form
60x - 87y = -37 standard form
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Circles/265961: A circular pool has a radius of 10 meters. Rounded to the nearest square meter, what is the area of the pool?
1 solutions
Answer 195498 by Alan3354(30993) on 2010-02-05 11:22:28 (Show Source):
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Angles/265981:
The measure of one of two complementary angles is 32 degrees. What is the measure of the other angle?
1 solutions
Answer 195496 by Alan3354(30993) on 2010-02-05 11:20:10 (Show Source):
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Linear-systems/265977: how do i solve this problem?
Carlos has recieved a 9% salary increase. if he now earns $327 per week, what was his salary before the increase? 1 solutions
Answer 195491 by Alan3354(30993) on 2010-02-05 11:11:04 (Show Source):
You can put this solution on YOUR website!Carlos has recieved a 9% salary increase. if he now earns $327 per week, what was his salary before the increase?
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A 9% increase makes it 109% of the amount before the increase.
109% = 1.09
$327 = 1.09*Amt
Amt = $327/1.09 = $300
$300 was his salary before the increase.
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Graphs/262416: Find an equation of the line containing the given pair of points. write in slope-intercept form. (5,0) and (1,-3) 1 solutions
Answer 195479 by Alan3354(30993) on 2010-02-05 10:22:35 (Show Source):
You can put this solution on YOUR website!Do it like this:
Given 2 points example.
Find the equation of the line thru the points (2,1) and (3,5)
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This is a 2 step process. First find the slope of the line thru the points.
slope, m = diffy/diffx
m = (5-1)/(3-2)
m = 4
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Now use y = mx + b with either point to find b, the y-intercept.
y = mx + b
5 = 4*3 + b
b = -7
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y = mx + b
y = 4x - 7 is the answer.
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For further assistance, or to check your work, email me via the thank you note.
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Travel_Word_Problems/265966: write an equation of the line containing the given point and parrallell to the give line. express your answer in the form y=mx+b
(5,9); x=6y=5 1 solutions
Answer 195469 by Alan3354(30993) on 2010-02-05 09:37:25 (Show Source):
You can put this solution on YOUR website!Your equation has too many equal signs.
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Do it like this one:
A line and a point example.
Write in standard form the eqation of a line that satisfies the given conditions. Perpendicular to 9x+3y=36, through (1,2)
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Find the slope of the line. Do that by putting the equation in slope-intercept form, y = mx + b. That means solve for y.
9x+3y = 36
3y= - 9x + 36
y = -3x + 13
The slope, m = -3
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The slope of lines parallel have the same slope.
The slope of lines perpendicular is the negative inverse, m = +1/3
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Use y = mx + b and the point (1,2) to find b.
2 = (1/3)*1 + b
b = 5/3
The equation is y = (1/3)x + 5/3 (slope-intercept form)
x - 3y = -5 (standard form)
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For further assistance, or to check your work, email me via the thank you note.
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Travel_Word_Problems/265958: Find an equation of the line containing the give pair of points
(-6,-6) and (7,7) 1 solutions
Answer 195457 by Alan3354(30993) on 2010-02-05 09:03:24 (Show Source):
You can put this solution on YOUR website!Do it like this:
Given 2 points example.
Find the equation of the line thru the points (2,1) and (3,5)
---------------------
This is a 2 step process. First find the slope of the line thru the points.
slope, m = diffy/diffx
m = (5-1)/(3-2)
m = 4
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Now use y = mx + b with either point to find b, the y-intercept.
y = mx + b
5 = 4*3 + b
b = -7
-------
y = mx + b
y = 4x - 7 is the answer.
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For further assistance, or to check your work, email me via the thank you note.
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test/265841: a model of an airplane is 11 in in length. the actual length of the airplane is 209 feet. what is the scale used to build the model? 1 solutions
Answer 195450 by Alan3354(30993) on 2010-02-05 08:48:17 (Show Source):
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Expressions-with-variables/265948: A Equation question: Jim budgets 2/7 of his salary for gambling. Last month he spent $485 for gambling. What was his monthly salary?
1 solutions
Answer 195444 by Alan3354(30993) on 2010-02-05 08:33:02 (Show Source):
You can put this solution on YOUR website!Jim budgets 2/7 of his salary for gambling. Last month he spent $485 for gambling. What was his monthly salary?
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If $485 is 2/7, then $485/2 = 1/7 = $242.50
7/7 = 7*$242.50 = $1697.50
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real-numbers/265802: For the following equation, state the value of the discriminant and then describe the nature of the solutions.
-4x^2+4x+7=0
What is the value of the discriminant? 1 solutions
Answer 195378 by Alan3354(30993) on 2010-02-04 21:27:34 (Show Source):
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Age_Word_Problems/265757: What is the awnser to Tonian is 25 years younger than her father. The sum of their age is 75. How old is each now.
Please show all work. I cant figure it okay. I keep messing up on sometbing.
1 solutions
Answer 195366 by Alan3354(30993) on 2010-02-04 20:34:22 (Show Source):
You can put this solution on YOUR website! What is the awnser to Tonian is 25 years younger than her father. The sum of their age is 75. How old is each now.
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F = T + 25
F + T = 75
Sub for F in 2nd eqn
(T+25) + T = 75
2T + 25 = 75
2T = 50
T = 25
F = 50
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Triangles/265374: what are the angles of a triangle that has sides of 21 28 and 30 1 solutions
Answer 195359 by Alan3354(30993) on 2010-02-04 19:41:16 (Show Source):
You can put this solution on YOUR website!Use the law of cosines:
c^2 = a^2 + b^2 - 2abcos(C)
900 = 441 + 784 - 2*21*28*cos(C)
cos(C) =~ 0.27636
C =~ 73.96º
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Do the other 2 the same way, or use the Law of Sines
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