April 2018

How can i compute the height of the ice cube to be put in a conical tank when it turns into a liquid

Submitted by kullboys on April 2, 2018 - 1:10pm

Hello everyone
How can i compute the height of the ice cube to be put in a conical tank when it turns into a liquid (water). Given with a height of the conical tank and its radius and the volume of the cube.
Thanks

Basic Cal.

Submitted by Help_me_learn_Maths on April 3, 2018 - 2:16am

Hi! I need help with these.

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Perimeter of Right Triangle by Tangents

Submitted by BobDH on April 9, 2018 - 10:06am

Proposition: The perimeter of a right triangle equals the altitude to the hypotenuse multiplied by the sum of the Tan's of 1/2 the acute∠’s, divided by the product of the Tan's of 1/2 the acute ∠’s

You may say this is a non-problem, and you would be right. Simply add up the lengths of all 3 sides.

However, the proposition seeks to reveal just one of many mysterious and profound ways of mathematics.

EXAMPLE:
To demonstrate, let the 8 15 17 Pythagorean triangle be our selection.

The Formula for the Curve of a Trumpet Bell

Submitted by Abraxas on April 10, 2018 - 8:45pm

I'm guessing this problem belongs to integral calculus:
I've been tasked with making some anvils, on a metal lathe, for the repair of brass instrument bells. I need to calculate corresponding X-Y values along the curve of that bell.One side only as it's symmetrical. I can certainly take sample measurements at frequent intervals of the bell, but I don't know how to come up with the formula for the curve that will allow me to create a chart of the thousands of points I need to accurately machine it. Any ideas ? Salamat/Thanks.

Product of Areas of Three Dissimilar Right Triangles

Submitted by BobDH on April 12, 2018 - 10:00am

The formula below will find the product P for the areas of 3 right triangles A, B & C, as described in Geometry Post, Three Dissimilar Right Triangles.

P = (ab)^4 / 2c^2

1. Triangle C is a known right triangle, with legs "a" & "b", and hypotenuse "c".

2. a is the short leg and b is the long leg of C

3. Hypotenuse of A = 2(b) of C.

4. Hypotenuse of B = 2(a) of C.

A tank is supplied by two pipes A and B and emptied by a third pipe C

Situation
A tank is supplied by two pipes A and B and emptied by a third pipe C. If the tank is initially empty and all pipes are opened, the tank can be filled in 20 hours. If the tank is initially full and A and C are opened, the tank can be emptied in 4 hours. If the tank is initially full and B and C are opened, the tank can be emptied in 2 hours. Pipe A supplies 50 liters per minute more than B.
1.   Find the rate of pipe A in liters per minute.

A.   120 C.   110
B.   130 D.   140

2.   Find the rate of pipe C in liters per minute.

A.   170 C.   150
B.   160 D.   140

3.   Find the capacity of the tank in liters.

A.   12,000 C.   11,500
B.   12,500 D.   13,000

Decimal Fractional Parts of Segment Dim's on Hypotenuses of Dissimilar Right Triangles

Submitted by BobDH on April 17, 2018 - 9:54am

DECIMAL FRACTIONS:
The decimal, fractional part of a positive real number is the excess beyond that number's integer part; e.g., for the number 3.75, the numbers to the right of the decimal point make up the decimal, fractional part of the positive real number 3. The decimal fractional part, .75 equals the fraction 3/4.

For sources, see links below;

https://en.wikipedia.org/wiki/Decimal?wprov=sfla1.

Marvins Daniel's picture

Finding the sum of sequence

Submitted by Marvins Daniel on April 21, 2018 - 12:23am

how will i use calculator to solve this

The sum of 5th term of Ap is 10,
The sum of 10th term of Ap is 20
Find the common diff,first term

sum of 26th term

Jhun Vert's picture

Quiz: Random Problems Set 5

Submitted by Jhun Vert on April 24, 2018 - 9:18am

Depending on your goal, you can take the problems seriously or you can take it just for fun. Either way, just enjoy!
 

Number of Civil, Electrical, and Mechanical Engineers and Their Average Ages

Problem
In an organization there are CE’s, EE’s and ME’s. The sum of their ages is 2160; the average age is 36; the average age of CE’s and EE’s is 39; the average age of EE’s and ME’s is 32 and 8/11; the average age of the CE’s and ME’s is 36 and 2/3. If each CE had been 1 year older, each EE 6 years and each ME 7 years older, their average age would have been greater by 5 years. Find the number of CE, EE, and ME in the group and their average ages.