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3 years ago

Given any two numbers which is greater the least common multiple of the numbers or the greatest common factors of the numbers

Mathematics

1 answer:

tamaranim1 [39]3 years ago

8 0

THE LEAST COMMON MULTIPLE WILL BE HIGHER THAN THE greatest common factor as long as the 2 numbers are different.

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Find the measure of the angle. (two more and i'm done, sorry)

Brilliant_brown [7]

Answer:

c=102°

b=(360-204)/2 = 78°

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2 years ago

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Given the Homogeneous equation x^2ydy+xy^2dx=0, use y=ux, u=y/x and dy=udx+xdu to solve the differential equation. Solve for y.

scZoUnD [109]

Answer:

$y=\frac{C}{x}$ .

Step-by-step explanation:

Given homogeneous equation

$x^2ydy+xy^2dx=0$

$\frac{\mathrm{d}y}{\mathrm{d}x}=-\frac{xy^2}{x^2y}$

Substitute y=ux , $u=\frac{y}{x}$

$\frac{\mathrm{d}y}{\mathrm{d}x}=-\frac{y}{x}$

Now,

$u+x\frac{\mathrm{d}u}{\mathrm{d}x}=\frac{\mathrm{d}y}{\mathrm{d}x}$

$u+x\frac{\mathrm{d}u}{\mathrm{d}x}=-u$

$\frac{\mathrm{d}u}{\mathrm{d}x}=-2u$

$\frac{du}{u}=-\frac{dx}{x}$

Integrating both side we get

lnu=-2lnx+lnC

Where lnC= integration constant

$lnu+ln{x}^2=lnC$

$lnux^2=lnC$

Cancel ln on both side

$ux^2=C$

Substitute $u=\frac{y}{x}$

Then we get

xy=C

$y=\frac{C}{x}$ .

Answer: $y=\frac{C}{x}$ .

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2 years ago

Jeffery wants to save the same amount of money each week to buy a new

Temka [501]

Answer:$18

Step-by-step explanation:

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3 years ago

The area of a rectangular wall of a barn is 140 square feet. Its length is 6 feet longer than twice its width. Find the length a

Lubov Fominskaja [6]

Do you need to graph it?

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2 years ago

an isosceles triangle has angle measures of 55, 55, and 70. the side across the 70 degree angle is 10 inches long. how long are

Shtirlitz [24]

Answer:

The other sides of triangles are 8.72 in and 8.72 in

Step-by-step explanation:

In a triangle ABC. Please find the attachment for figure.

$\angle A=70^{\circ}$

$\angle B=\angle C=55^{\circ}$

Side BC=a = 10 in

Using sine law of trigonometry,

$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$

Substitute the given value into formula.

$\dfrac{10}{\sin 70}=\dfrac{b}{\sin 55}=\dfrac{c}{\sin 55}$

$\dfrac{10}{\sin 70}=\dfrac{b}{\sin 55}$

Cross multiply and we get

$b=\sin 55\times \dfrac{10}{\sin 70}$

$b=8.72$ in

It is a isosceles triangle. Therefore, b=c=8.72 in

Hence, The other sides of triangles are 8.72 in and 8.72 in

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3 years ago