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Alan3354 answered: 30963 problems
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Trigonometry-basics/473348: Can you solve this problem for me? I'm kinda' having difficulties how to solve it.
For a circle of radius 600 ft., find, in radians, the central angle subtended by an arc of length a) 1200 ft. ; b) 600 ft. ; c) 100 ft. ; d) K ft. 1 solutions
Answer 324621 by Alan3354(30983) on 2011-07-23 11:02:46 (Show Source):
You can put this solution on YOUR website!For a circle of radius 600 ft., find, in radians, the central angle subtended by an arc of length a) 1200 ft. ; b) 600 ft. ; c) 100 ft. ; d) K ft.
Arc = radius*angle (in radians)
a) 1200 ft
2 radians
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b) 600 ft
1 radian
--------
c) 100 ft
1/6 radian
-----------
d) K ft
K/600 radians
|
Quadratic_Equations/473213: What is the probability of receiving a 6 or a 9 from a deck of 52 cards and an ace or a king?
suppose to be a percent answer
1 solutions
Answer 324618 by Alan3354(30983) on 2011-07-23 10:58:13 (Show Source):
You can put this solution on YOUR website!What is the probability of receiving a 6 or a 9 from a deck of 52 cards and an ace or a king?
suppose to be a percent answer
-------------------
A 6 or a 9 --> 8/52 = 2/13
An ace or a king is the same = 2/13
-------------
For both, it's the product = 4/169
=~ 2.37%
|
Linear-equations/473190: The equation h=-16t^-64t+250 (i used the symbol ^ to represent t squared) gives the height of a ball, thrown
downward from the top of a 250-ft building with an initial velocity of 64 ft/s.
Find the time it takes for the ball to reach a height of 100 ft. Round your answer
to the nearest thousandth.
Thank you in advance for your hardwork.
1 solutions
Answer 324510 by Alan3354(30983) on 2011-07-22 18:22:16 (Show Source):
You can put this solution on YOUR website!The equation h=-16t^-64t+250 (i used the symbol ^ to represent t squared) gives the height of a ball, thrown
downward from the top of a 250-ft building with an initial velocity of 64 ft/s.
Find the time it takes for the ball to reach a height of 100 ft. Round your answer
to the nearest thousandth.
-----------
Use ^2 for squared, ^3 for cubed, etc.
--------------------
h(t) = -16t^2-64t+250 = 100
8t^2 + 32t - 75 = 0
| Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc) |
Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.
First, we need to compute the discriminant : .
Discriminant d=3424 is greater than zero. That means that there are two solutions: .


Quadratic expression can be factored:

Again, the answer is: 1.65718470958195, -5.65718470958195.
Here's your graph:
 |
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t = 1.657 seconds
Ignore the negative answer.
|
Percentage-and-ratio-word-problems/473210: find the slope, if it exists, of the line containing the pair of points:
(5,4) and (9,-10) = 1 solutions
Answer 324501 by Alan3354(30983) on 2011-07-22 17:56:06 (Show Source):
You can put this solution on YOUR website!find the slope, if it exists, of the line containing the pair of points:
(5,4) and (9,-10) =
---------------------------------
slope m = diffy/diffx
-----------
(5,+4)
(9,-10)
-------- Subtract
-4,14
Difference in y = 14
Difference in x = -4
m = 14/-4 = -7/2 = -3.5
|
logarithm/473207: how do you calculate 2 ln(8)+log(16)/log(100)-ln(10) on a calculator? 1 solutions
Answer 324500 by Alan3354(30983) on 2011-07-22 17:53:05 (Show Source):
You can put this solution on YOUR website!how do you calculate 2 ln(8)+log(16)/log(100)-ln(10) on a calculator?
-------------
There are differences in the keys for different calculators, so there's no single answer.
--------------
log(100) = 2, btw
You need to add parentheses to clarify what's in the numerator and the denominator, regardless of what type of calculator you use.
|
Graphs/473179: Two persons are to run a race, but one can run 10 meters per second, whereas the other can run 6 meters per second. If the slower runner has a 70-meter head start, how long will it be before the faster runner catches the slower runner, if they begin at the same time? 1 solutions
Answer 324492 by Alan3354(30983) on 2011-07-22 17:23:21 (Show Source):
You can put this solution on YOUR website!The faster gains on the slower runner at 4 m/sec (10 - 6)
(Or, the speed of the faster runner relative to the slower is 4 m/sec)
70 m/4 m/sec = 17.5 seconds
|
Triangles/473183: In a certain triangle, one of the angles has a measure of 94°. If the triangle is isosceles, then which of the following could be the measures of the two other angles? 1 solutions
Answer 324471 by Alan3354(30983) on 2011-07-22 16:20:45 (Show Source):
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Rectangles/473043: A rectangle has 70m length and 50m wide.if the area of the rectangle is 1024,what will be its width? 1 solutions
Answer 324446 by Alan3354(30983) on 2011-07-22 15:23:41 (Show Source):
You can put this solution on YOUR website!A rectangle has 70m length and 50m wide.if the area of the rectangle is 1024,what will be its width?
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If it's 70 by 50 the area is 70*50 = 3500 sq meters.
The area is not 1024, so there's no if.
|
Rational-functions/473155: I just dont get it 9m +n=62 and m-5n=12 what is the solution of the system? 1 solutions
Answer 324440 by Alan3354(30983) on 2011-07-22 15:13:31 (Show Source):
You can put this solution on YOUR website!9m +n=62 and m-5n=12 what is the solution of the system?
-----------------
m-5n=12 --> m = 5n + 12
Sub for m in the 1st eqn
9m +n=62
9(5n+12) + n = 62
45n+108 + n = 62
46n = - 46
n = -1
-------
m = 5n + 12
m = 7
That's one way to do it.
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Human-and-algebraic-language/473111: Three consecutive odd integers are such that the square of the third integer is 15 more than the sum of the squares of the first two. Find the integers. 1 solutions
Answer 324403 by Alan3354(30983) on 2011-07-22 12:23:19 (Show Source):
You can put this solution on YOUR website!Three consecutive odd integers are such that the square of the third integer is 15 more than the sum of the squares of the first two. Find the integers.
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The numbers are x, x+2 and x+4

(x - 1)*(x - 3) = 0
x = 1 --> 1, 3 & 5
x = 3 --> 3, 5 & 7
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Trigonometry-basics/473051: in triangle abc a=47, b= 8, what is c?
in triangle fgh angle f=32 angle g=100 what is angle h? 1 solutions
Answer 324402 by Alan3354(30983) on 2011-07-22 11:46:00 (Show Source):
You can put this solution on YOUR website!in triangle abc a=47, b= 8, what is c?
Not enough data.
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in triangle fgh angle f=32 angle g=100 what is angle h?
The sum of the 3 angles is 180.
h = 180 - (100 + 32)
h = 48 degs
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