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Pythagorean-theorem/688521: A triangle has these sides. Will it be acute, right, obtuse or not possible? Show work to justify your answers.
1. 5,8,9
2. 3,4,5
3. 3,5,11
4. 2,12,13 1 solutions
Answer 425637 by Alan3354(30993) on 2012-12-02 21:07:57 (Show Source):
You can put this solution on YOUR website!A triangle has these sides. Will it be acute, right, obtuse or not possible? Show work to justify your answers.
1. 5,8,9
2. 3,4,5
3. 3,5,11
4. 2,12,13
Call the longest side c, the others are a & b
If c >= a+b, it's not a triangle
If c <= |a-b| it's not a triangle
============
If the square of the longest side < sum of the squares of the other 2, it's acute.
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If the square of the longest side = sum of the squares of the other 2, it's a right triangle.
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If the square of the longest side > sum of the squares of the other 2, it's obtuse.
=======================
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expressions/688276: the distance in feet traveled by a free-falling object in t seconds is given by the formula d(t)=16t^2. It takes 8 seconds for a hard hat to fall from the top of the building. How high is the building? 1 solutions
Answer 425579 by Alan3354(30993) on 2012-12-02 16:20:03 (Show Source):
You can put this solution on YOUR website!the distance in feet traveled by a free-falling object in t seconds is given by the formula d(t)=16t^2. It takes 8 seconds for a hard hat to fall from the top of the building. How high is the building?
d(8) = 16*8^2 feet
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Average/688299: Calculate how fast you are moving in feet per second if you are traveling 75 mile per hour, also what type of tornado speed is that? 1 solutions
Answer 425576 by Alan3354(30993) on 2012-12-02 16:16:20 (Show Source):
You can put this solution on YOUR website!Calculate how fast you are moving in feet per second if you are traveling 75 mile per hour, also what type of tornado speed is that?
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15 mi/hr = 22 ft/sec
75 mi/hr = 110 ft/sec
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I think it's an F1, but that might apply to hurricanes.
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Triangles/688320: Can an isosceles triangle's base length be double the length of the sides of the triangle. For example can a triangles base be 4 and sides be 2 1 solutions
Answer 425573 by Alan3354(30993) on 2012-12-02 16:03:30 (Show Source):
You can put this solution on YOUR website!Can an isosceles triangle's base length be double the length of the sides of the triangle. For example can a triangles base be 4 and sides be 2
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No, that won't work.
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test/688143: For Line Segment AB with midpoint of M, determine the coordinates of point B. A(-2,2); M=(1,1 1/2). Please show me how to do this. Thank you for your help. 1 solutions
Answer 425531 by Alan3354(30993) on 2012-12-02 08:55:56 (Show Source):
You can put this solution on YOUR website!For Line Segment AB with midpoint of M, determine the coordinates of point B. A(-2,2); M=(1,1 1/2). Please show me how to do this.
-----------
The easiest way:
Find the x & y distances from A to M separately (M - A)
For x: 3
For y: -0.5
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Add those to point M separately
x: 1 + 3 = 4
y: 1.5 - 0.5 = 1
B is (4,1)
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Miscellaneous_Word_Problems/688156: Please help I am in desperate need. I just do not understand these.
Two angles are supplementary. One angle is 4 degrees less than three times the other. Find the measurement of the angles. 1 solutions
Answer 425530 by Alan3354(30993) on 2012-12-02 08:48:19 (Show Source):
You can put this solution on YOUR website!Two angles are supplementary. One angle is 4 degrees less than three times the other. Find the measurement of the angles.
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Call the angles A & B
A + B = 180 degs
A = 3B - 4
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Solve for A & B
Sub for A in the 1st eqn
(3B-4) + B = 180
4B = 184
B = 46 degs
---
A = 180 - B
A = 134 degs
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Pythagorean-theorem/688147: The base of a 45-45 degrees right triangle measures 8 inches. Find the height and the hypotenuse of the right triangle.
1 solutions
Answer 425525 by Alan3354(30993) on 2012-12-02 08:29:36 (Show Source):
You can put this solution on YOUR website!The base of a 45-45 degrees right triangle measures 8 inches. Find the height and the hypotenuse of the right triangle.
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The 2 angles are equal, so the 2 sides are equal.
height = 8 inches.
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a = 8
b = 8

c = hypotenuse
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Travel_Word_Problems/688023: a car has to travel 4800 miles the car travels at 60 miles per hour for 20 hours then continues for 20 hours then stops again for 10 hours then continues how lone did the entire trip take 1 solutions
Answer 425481 by Alan3354(30993) on 2012-12-01 20:24:30 (Show Source):
You can put this solution on YOUR website!a car has to travel 4800 miles the car travels at 60 miles per hour for 20 hours then continues for 20 hours then stops again for 10 hours then continues how lone did the entire trip take
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20 + 20 + 10 = 50 hours
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Travel_Word_Problems/687999: if a ball is thrown from 35 feet at 65 miles per hour, what would the speed be calculated at for 60 feet 6 inches (as the reaction time at 35 feet must be faster). 1 solutions
Answer 425456 by Alan3354(30993) on 2012-12-01 17:40:32 (Show Source):
You can put this solution on YOUR website!if a ball is thrown from 35 feet at 65 miles per hour, what would the speed be calculated at for 60 feet 6 inches (as the reaction time at 35 feet must be faster).
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That makes no sense.
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logarithm/687976: Use logb4 = 0.6021 and logb5 = 0.6990 to evaluate the given logarithms. Round to four decimal places.
1) logb2
2) logb64
3) logbsqrt5
4) logbcuberoot4
5) logb0.8
6) log4b 1 solutions
Answer 425435 by Alan3354(30993) on 2012-12-01 16:25:09 (Show Source):
You can put this solution on YOUR website!Use logb4 = 0.6021 and logb5 = 0.6990 to evaluate the given logarithms. Round to four decimal places.
1) logb2
2 = sqrt(4) = 4^(1/2)
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2) logb64
64 = 4^3
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You try the rest of them.
3) logbsqrt5
4) logbcuberoot4
5) logb0.8
6) log4b
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Coordinate-system/687960: If the points (-4, 1) and (2, 1) are the endpoints of a diameter of a circle, where is the center?
1 solutions
Answer 425433 by Alan3354(30993) on 2012-12-01 16:13:06 (Show Source):
You can put this solution on YOUR website!If the points (-4, 1) and (2, 1) are the endpoints of a diameter of a circle, where is the center?
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It's the midpoint of the line.
Find the average of x & y separately.
For x: (-4 + 2)/2 = -1
y = 1
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--> center at (-1,1)
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