Mathematics Stack Exchange
Mathematics Stack Exchange

Questions tagged [problem-solving]

Use this tag when you want to determine the thinking that is needed to solve a certain type of problem, as opposed to looking for a specific answer to a question.

Use this tag when you want to determine the thinking that is needed to solve a certain type of problem, as opposed to looking for a specific answer to a question.

4495 questions
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The age of a man before 20 years was five times of his son.what is the present age of his father , if after 16 years the are of son becomes 41 years?

The age of a man before 20 years was five times of his son.what is the present age of his father , if after 16 years the are of son becomes 41 years ?
Russel Ahmed
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how to find out how many meters an object is.

I am making an object and i need to figure out a way to trick the brain in a VR game i am making but i cant figure out this simple problem. Standing on a ship 18km in length the characters avatar will be 20 m tall since i cannot change the actual…
Ian W
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How to solve the equation?

I want to solve this equation $$\sin\dfrac{(x+1)\pi}{4x^2 -4x + 2} = \cos\dfrac{(x-2)\pi}{4x^2 -4x + 2}.$$ The equation has solutions $x = 1$, $x = \dfrac{1 \pm \sqrt{5}}{2}$ and $x = \dfrac{5\pm \sqrt{5}}{10}$ I think, this is a nonstandard…
minthao_2011
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solving equation for the variable x

Help to find the value of x : $e^{\frac{x}{0.52}} = 1.01564 \cos ( tan^{-1} {\frac{x}{0.52}}) $ Thanks for help
Souky101
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A problem with numbers

Aliens have been found in Mars who have six fingers in each of their hands, total 12 fingers in their two hands. We use 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 to do all the calculation, and they use 0, 1, 2, 3, 4, a, 5, 6, 7, 8, 9, b. So, 10, 11, 12 in earth…
Russel Ahmed
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How to make the largest square possible from smaller squares

Using two - $ 4 \times 4$ squares, three - $3 \times 3 $ squares, four - $2 \times 2$ squares and four - $1 \times 1$ squares draw a diagram to show how you can make a square using some or all of these squares together without gaps or overlaps to…
T.Bear
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counting to specific number.

In a counting game to a specific number, if the rules are only two players. I am the first player always. one can say at least one number and at most 2 numbers. the number we are counting to is bigger than 3. for example Player 1: 1,2 Player 2:…
Amr
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How can I solve for $x$ in this equation?

I have this equation, but I don't know how can I isolate the $x$ laying inside the cosine function. $$x=\cos\left(\frac{4\pi x+2T\phi}{2Tr}\right)\cdot r$$ What are the best steps to pass around this issue?
Chaos
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Is it possible to solve this equation for Delta?

I have this equation: $$\frac{\arcsin(\sin(\cos(\Delta)\cdot\frac{2\pi\cdot r}{T+\phi}))-\phi}{\frac{2\pi}{T}}=\cos(\Delta)\cdot r$$ And I want to find an effective way to solve for the Delta variable, but I´m not pretty sure if this is possible,…
Chaos
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How can I find a scale where 30(x) = 250 and 250(x) = 500

I'm trying to find apply a scale for a knob where an angle of 30 degrees equals 250 and 250 degrees = 500, could you guys help me solve this? If this problem is too basic for this group, please point me where I can ask these questions. Thanks in…
sigmaxf
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Find the number of vectors $(x, x_1, x_2)$ , where $x, x_1, x_2 > 0$ , for which the following holds

$$\left | \log(xx_{1}) \right |+\left | \log(xx_{2}) \right |+\left | \log\frac{x}{x_{1}} \right |+\left | \log\frac{x}{x_{2}} \right |= \left | \log x_{1}+\log x_{2} \right |$$ Please kindly help with this, I can't figure out how to proceed. Thanks…
user405925
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Confusing high school question

I recently ran into the following question for high school students, which confused me a little. I am curious what you have to say about it. A temperature $T$ is measured (in Celcius) and rounded to the nearest whole number. The rounded temperature…
Cettt
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Applied Mathematics problems

Does anyone know where one would be able to find real world mathematics problems? For example, given the weight of a satellite and the performance of a rocket, develop a simple mission plan to deliver the cargo to geostationary orbit. I am…
Anon
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Relationship between $n\geq 9$ & $\mu=n^{\frac{1}{2}}+ n^{\frac{1}{3}}+n^{\frac{1}{4}}$

Suppose $n\geq 9$ is an integer. Let $\mu=n^{\frac{1}{2}}+ n^{\frac{1}{3}}+n^{\frac{1}{4}}$. Then which of the following relationships between $n$ and $μ$ is correct? 1)$n=\mu$ 2)$n<\mu$ 3)$n>\mu$
user405925
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How do I solve this Inverse proportion question?

I am currently doing maths at GCSE Level. I was revising, then I came across a question that I became stuck on: Brian's band is playing at a concert in a hall. The loudness of a band varies inversely as the square of the distance from the band.…
Xetrov
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