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What fraction of the company does Mary own? |
2007-07-18 |
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From Bridget:
Sam and Mary each owned one-half stock in a printing company. Sam sold 2/3 of his stock to Mary. What fractional part of the printing business does Mary now own?
Answered by Stephen La Rocque. |
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Fractions of fractions |
2007-07-18 |
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From Bridget:
Sam and Mary each owned one-half stock in a printing company. Sam sold 2/3 of his stock to Mary. What fractional part of the printing business does Mary now own?
Answered by Penny Nom. |
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What is the bearing from the port to the ship? |
2007-07-18 |
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From fhay:
A ship leaves a port and sails for 4 hours on a course of 78 degrees at 18 knots. Then the ship changes its course to 168 degrees and sails for 6 hours at 16 knots. After 10 hours(a) what is the distance of the ship from a port and (b) what is the bearing from the port to the ship?
Answered by Harley Weston. |
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Angle of depression (declination) between sailboat observations |
2007-07-18 |
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From Joyce:
From a cliff 150 ft above a lake, we see a boat sailing directly towards us.
The angle of depression of the boat is seen to be 5 degrees and 7 inches and
11 degrees and 18 inches. Find the distance sailed between observations.
Answered by Stephen La Rocque. |
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The cost of some groceries |
2007-07-18 |
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From A student:
Two boxesof the cereal and our four cans of the pears were boutht at grocery store,the cereal cost $2.29per box and the pears cost 79cent per can.sales tax is 6% what was the total cost of the food diregerding ?
Answered by Penny Nom. |
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Angle of inclination from the horizontal |
2007-07-18 |
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From Joyce:
In flying upward for 1260 yards along a straight inclined path airplane rises
156 yards. Find the climbing angle
( the angle of inclination from the horizontal)
Thank you in advance
Answered by Stephen La Rocque. |
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Calculating the area (acreage) of a four sided lot |
2007-07-18 |
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From A property owner:
I have a real estate property and the lot size is something I need to find out. I know the lengths of the four sides, but it isn't a rectangle, it is an odd shape. How do I find the acreage?
Answered by Stephen La Rocque. |
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Equivalence relations |
2007-07-18 |
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From jim:
Determine whether the given relation is an equivalence relation on the set. Describe the partition arising from each equivalence relations.
1. x is Related to y in Real number if lxl=lyl.
2. n is Related to m in Z+ if n and m have the same number of digits in the usual base ten notation.
Let n be a particular integer in Z+. Show that congruence modulo n is
an equivalence relation on Z.
Answered by Harley Weston. |
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The area of a triangular pyramid |
2007-07-18 |
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From Jhezelle:
What is the formula of finding the surface area of a triangular pyramid?
Answered by Penny Nom. |
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Circle Geometry III |
2007-07-17 |
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From Sean:
Two rays are drawn from the same point A outside a circle, and intersect the circle as shown in the picture. Prove that the measure of angle A is one-half the difference between the measures of arcs BD and CE.
Answered by Stephen La Rocque. |
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The height of an arc at the center |
2007-07-17 |
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From Bob:
I have a circle with a 26" radius and a cord whose length is 20". How can I find the height of the arc at the center point of the cord?
Answered by Penny Nom. |
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Pythagoras theorem in daily life |
2007-07-17 |
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From sana:
i would like to what are the 5 practical uses of the Pythagoras theorem in
daily life??? its for a math project
thanx a lot
sana
Answered by Penny Nom. |
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Circle Geometry II |
2007-07-17 |
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From Sean:
Let M be a point outside a circle, and let a line through M be tangent to the circle at point P. Let the line through M and the center of the circle intersect the circle in points Q, R.
Prove that │PM│2 = │MQ│ x │MR│
Answered by Stephen La Rocque. |
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The area of a property |
2007-07-17 |
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From Mary:
I currently have an opportunity to sell my property to a business and they would like me to send a proposal to them with details.
I need to know the square footage of my property and have tried using your formula from similar questions. The dimensions of my property are as follows
front line facing street: 19.908 m
right side : 37.338 m
back line : 29.779 m
left side : 43.983m
The front line and the right side are at right angles to each other. Can you formulate and reply? Thank you Mary
Answered by Harley Weston. |
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Circle Geometry - Quadrilateral circumscribing a circle |
2007-07-17 |
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From Sean:
Four lines are tangent to a circle that form a quadrilateral. It appears that the quadrilateral is a trapeziod but this is not a given. Prove that the combined lengths of two opposing sides of the quadrilateral are equal to the combined lengths of the other two opposing sides of the quadrilateral.
Answered by Stephen La Rocque. |
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