Answer:
Explanation:
Given
altitude of the Plane ![h=6\ miles](https://tex.z-dn.net/?f=h%3D6%5C%20miles)
When Airplane is
away
Distance is changing at the rate of ![\frac{\mathrm{d} s}{\mathrm{d} t}=290\ mph](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cmathrm%7Bd%7D%20s%7D%7B%5Cmathrm%7Bd%7D%20t%7D%3D290%5C%20mph)
From diagram we can write as
![h^2+x^2=s^2](https://tex.z-dn.net/?f=h%5E2%2Bx%5E2%3Ds%5E2)
differentiate above equation w.r.t time
![2h\frac{\mathrm{d} h}{\mathrm{d} t}+2x\frac{\mathrm{d} x}{\mathrm{d} t}=2s\frac{\mathrm{d} s}{\mathrm{d} t}](https://tex.z-dn.net/?f=2h%5Cfrac%7B%5Cmathrm%7Bd%7D%20h%7D%7B%5Cmathrm%7Bd%7D%20t%7D%2B2x%5Cfrac%7B%5Cmathrm%7Bd%7D%20x%7D%7B%5Cmathrm%7Bd%7D%20t%7D%3D2s%5Cfrac%7B%5Cmathrm%7Bd%7D%20s%7D%7B%5Cmathrm%7Bd%7D%20t%7D)
as altitude is not changing therefore ![\frac{\mathrm{d} h}{\mathrm{d} t}=0](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cmathrm%7Bd%7D%20h%7D%7B%5Cmathrm%7Bd%7D%20t%7D%3D0)
![0+x\frac{\mathrm{d} x}{\mathrm{d} t}=s\frac{\mathrm{d} s}{\mathrm{d} t}](https://tex.z-dn.net/?f=0%2Bx%5Cfrac%7B%5Cmathrm%7Bd%7D%20x%7D%7B%5Cmathrm%7Bd%7D%20t%7D%3Ds%5Cfrac%7B%5Cmathrm%7Bd%7D%20s%7D%7B%5Cmathrm%7Bd%7D%20t%7D)
at ![s=10\ miles\ and\ h=6\ miles](https://tex.z-dn.net/?f=s%3D10%5C%20miles%5C%20and%5C%20h%3D6%5C%20miles)
substitute the value we get ![x=\sqrt{10^2-6^2}=8\ miles](https://tex.z-dn.net/?f=x%3D%5Csqrt%7B10%5E2-6%5E2%7D%3D8%5C%20miles)
![8\times \frac{\mathrm{d} x}{\mathrm{d} t}=10\times 290](https://tex.z-dn.net/?f=8%5Ctimes%20%5Cfrac%7B%5Cmathrm%7Bd%7D%20x%7D%7B%5Cmathrm%7Bd%7D%20t%7D%3D10%5Ctimes%20290)
Answer:
Check the attached image below.
Explanation:
Kindly check the attached image below to get the step by step explanation to the above question.
If you have 12 atoms of hydrogen before a chemical reaction, the number of hydrogen atoms that will be present after the chemical reaction is 12 atoms.
The Law of Conservation of Mass (LOCOM) states that mass is neither created nor destroyed before and after any chemical reaction.
According to the Law of Conservation of Mass (LOCOM), a balanced chemical equation requires that the number of atoms on the reactant side must be equal to the number of atoms on the product side of any chemical reaction.
In this context, a chemical reaction having 12 atoms of hydrogen as reactants at the beginning, should also produce a total of 12 atoms of hydrogen as products at the end of the chemical reaction.
Answer:
Because the hot tea is hot from a microwave or coffee machine when iced tea is cold from ice in the tea.
Explanation:
A material is said to be ductile if it can be stretched thin when tensile stress is administered. Such a material can be stretched into a wire.
This is different from malleability which describes a material that can bend or alter shape using compressive force e.g. hammering , rather than tensile stress.
Tensile stress is a type of force or stress that alters the length of a material in the same direction as the force being applied.
The opposite of ductile is brittle. Brittle materials can break when subjected too much tensile stress.