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test/328130: I wanted to know what fractional part of an hour is 2 minutes not 18 minutes? 1 solutions
Answer 235005 by Alan3354(30993) on 2010-08-02 15:00:55 (Show Source):
You can put this solution on YOUR website!I wanted to know what fractional part of an hour is 2 minutes not 18 minutes?
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2 mins/60 mins/hr = 1/30 of an hour.
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Did someone do 18 minutes by mistake?
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Probability-and-statistics/328029: If a family has six children, how do i calculate the probability that at least one is a girl? 1 solutions
Answer 234913 by Alan3354(30993) on 2010-08-02 10:59:49 (Show Source):
You can put this solution on YOUR website!If a family has six children, how do i calculate the probability that at least one is a girl?
Calculate the probability that there are 6 boys, then subtract that from 1.
Each is a 1/2 chance.
(1/2)^6 = 1/64, the chance of all 6 boys.
The chance of 1 or more girls = 63/64.
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Volume/327887: What is the volume of a cone that has an inscribed sphere removed? Use a variety of sized cones. Generalize a pattern (if any) for volume remaining to the total cone volume.
1 solutions
Answer 234792 by Alan3354(30993) on 2010-08-01 21:18:25 (Show Source):
You can put this solution on YOUR website!
Isosceles Triangle
A triangle with two sides of equal length.
a = c
A = C
B + 2A = Pi radians = 180o
P = 2a + b
s = a + b/2
K = b sqrt(4a2-b2)/4 = a2 sin(B)/2 = ab sin(A)/2
ha = b sqrt(4a2-b2)/(2a) = a sin(B) = b sin(A)
ma = sqrt(a2+2b2)/2
ta = b sqrt(a[2a+b])/(a+b) = b sin(A)/sin(3A/2)
hb = mb = tb = sqrt(4a2-b2)/2 = a cos(B/2)
R = a2b/4K = a/[2 sin(A)] = b/[2 sin(B)]
r = K/s = b sqrt[(2a-b)/(2a+b)]/2
Here's a start. Find the radius of the enclosed sphere by dealing with the intersection of the cone and sphere and a plane thru the cone's axis.
r = K/s = b sqrt[(2a-b)/(2a+b)]/2
= b*sqrt(4a^2 - b^2)/(4a+2b)
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r above is the radius of the inscribed sphere.
The dimensions of a cone are usually the radius of the base and the height.
a in the triangle is the slant height of the cone, the length of the side.
It's: s = sqrt(h^2 + (b/2)^2) where s = a.
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Solve for h in terms of a and b:
a = sqrt(h^2 + (b/2)^2)
a^2 = h^2 + (b/2)^2
h^2 = a^2 - (b/2)^2
h = sqrt(a^2 - (b/2)^2) and the radius of the cone = b/2
Vol of the cone = pi*r^2*h/3
Vol = pi*(b/2)^2*sqrt(a^2 - (b/2)^2)/3
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For the sphere: Vol = 4*pi*r^3/3
= 4*pi*b^3*sqrt[(2a-b)/(2a+b)]/8
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Subtract the sphere's volume from the cone's.
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Radicals/327886: May I please have help with this problem. Thank you very much.
Square root 14 ÷ square root 7 = square root 2
I am trouble when it come to to these kind of problems. 1 solutions
Answer 234789 by Alan3354(30993) on 2010-08-01 21:11:06 (Show Source):
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Radicals/327878: May I please have help to solve this problem. Thank you very much.
Sorry I don't know how to get the 1/3 smaller.
The answer I came up with was square root -3x³ I don't think it is right
(-27x^9)1/3 1 solutions
Answer 234788 by Alan3354(30993) on 2010-08-01 21:09:54 (Show Source):
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Travel_Word_Problems/327879: If a bicyclist rides at 10 miles per hour for 10 minutes, and then speeds up to 20 miles per hour for the next 20 minutes, what is her average speed for this ride?
1 solutions
Answer 234787 by Alan3354(30993) on 2010-08-01 21:06:51 (Show Source):
You can put this solution on YOUR website!If a bicyclist rides at 10 miles per hour for 10 minutes, and then speeds up to 20 miles per hour for the next 20 minutes, what is her average speed for this ride?
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Find the total distance, divide it by the total time.
10 mph*(10/60) + 20 mph*(20/60) = 500/60 miles
= 25/3 miles
Time = 1/2 hour
--> 50/3 mph
=~ 16.67 mph
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Travel_Word_Problems/327862: Throwing a wrench. An angry construction worker throws
his wrench downward from a height of 128 feet with an
initial velocity of 32 feet per second. The height of the
wrench above the ground after t seconds is given by
S(t)=-16t^2-32t+128 1 solutions
Answer 234782 by Alan3354(30993) on 2010-08-01 20:33:59 (Show Source):
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Complex_Numbers/327838: Hello'
The mass of Venus is about 4.871x10 to 21st power metric tons. The mass of the sun is about 1.998x10 to the 27th power metric tons. About how many times the mass of Venus is the mas of the sun. Give your answer in Scientific Notation Please.
The mass of th sun is __?___times the mass of the Venus.
Thank you 1 solutions
Answer 234781 by Alan3354(30993) on 2010-08-01 20:31:15 (Show Source):
You can put this solution on YOUR website!The mass of Venus is about 4.871x10 to 21st power metric tons. The mass of the sun is about 1.998x10 to the 27th power metric tons. About how many times the mass of Venus is the mas of the sun.
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1.998E27/4.871E21
= 0.4102E6 times
= 4.102E5 times or
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Equations/327779: Write the equation of the line whose graph has slope -4 and passes through the point (6,0). Write the equation in slope-intercept form.
1 solutions
Answer 234749 by Alan3354(30993) on 2010-08-01 17:23:23 (Show Source):
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Equations/327766: Evaluate the logarithmic equation for three values of x that are greater than -1, three values of x that are between -2 and -1 and at x =-1.
 1 solutions
Answer 234746 by Alan3354(30993) on 2010-08-01 17:16:38 (Show Source):
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Probability-and-statistics/327784: A candy bowl contains 8 red m&ms 5 blue 3 yellow if two m&ms are selected at random what is the probability that one will be blue or one will be yellow?
3/16+5/16= 8/16= 50%? 1 solutions
Answer 234744 by Alan3354(30993) on 2010-08-01 17:14:29 (Show Source):
You can put this solution on YOUR website!A candy bowl contains 8 red m&ms 5 blue 3 yellow if two m&ms are selected at random what is the probability that one will be blue or one will be yellow?
3/16+5/16= 8/16= 50%?
Don't add them, multiply them.
If you add them, the probability increases with added restrictions, which makes no sense.
And after getting the 1st one, only 15 are left.
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The yellow is 3/16
The blue is then 5/15
--> (3/16)*(5/15) = 1/16
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Surface-area/327753: I've tried this a few times but when I go to check, it is wrong.
What is the surface area of a soccer ball that has the circumference of 28 inches? 1 solutions
Answer 234731 by Alan3354(30993) on 2010-08-01 15:49:40 (Show Source):
You can put this solution on YOUR website!I've tried this a few times but when I go to check, it is wrong.
What is the surface area of a soccer ball that has the circumference of 28 inches?
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C = 2pi*r = 28
r = 14/pi
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Area = 4pi*r^2
A = 4pi*(14/pi)^2
A = 784/pi sq inches
A =~ 249.555 sq in
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logarithm/327728: What is the logarithm of 1500? 1 solutions
Answer 234730 by Alan3354(30993) on 2010-08-01 15:18:00 (Show Source):
You can put this solution on YOUR website!log(1500) = 3.17609...
Do you not have a calculator?
Or is that what you meant to ask?
log(1500) = log(3) + log(5) + log(100)
= log(3) + log(5) + 2
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Logs are exponents. The name logarithm is unfortunate, if they were called exponents it would be easier to understand.
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The log is the exponent of 10 (10 for "common logs").
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Miscellaneous_Word_Problems/327693: I hope someone can help me.Thank you in advance.
A Norman window is a rectangle with a semicircle on top. Big Sky Windows is designing a Norman window that will require 24 feet of trim. What dimensions will allow the maximum amount of light to enter a house?" 1 solutions
Answer 234705 by Alan3354(30993) on 2010-08-01 12:32:30 (Show Source):
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