3 years ago

What is measure of angle R?

Mathematics

1 answer:

Tema [17]3 years ago

8 0

I think you need to add them all up first or do the 90 degree

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Xy′ = √(1 − y2 ), y(1) = 0

tigry1 [53]

Answer:

y=sin(ln(x))

Step-by-step explanation:

First, we have to order the terms as follows and express y' as dy / dx:

$x*\frac{dy}{dx} =\sqrt{(1-y^{2} )} \\\frac{x}{dx}=\frac{dy}\sqrt{(1-y^{2} )}}\\\frac{dx}{x}=\frac{dy}{\sqrt{(1-y^{2} )} }$

Then, we have to integrate

$\int{\frac{dx}{x}=\int{\frac{dy}{\sqrt{(1-y^{2} )} }$

with this solution after integration:

$ln(x)+C1=arcsin(y)+C2$

Then, we have to reorder

$arcsin(y)=ln(x)+C$

and applied Sin function on both sides

$sin(arcsin(y))=sin(ln(x)+C)\\y=sin(ln(x)+C)$

To define the value of C, we use the known point y(1)=0 and replace in the equation

$y=sin(ln(x)+C)\\0=sin(ln(1)+C)\\0=sin(0+C)\\0=sin(C)\\C=arcsin(0)\\C=0$

The function that proves that differential equation is

$y=sin(ln(x))$

6 0

3 years ago

Julia needs 45 yards of fabric for 9 costumes how many yards does she need per costume

Advocard [28]

45 yards / 9 costumes = 5 yards per costume

4 0

4 years ago

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The Length of a rectangle is 3 meters more than the width. The perimeter of the rectangle is 26 meters. if the width is B which

igomit [66]

Answer: c

Step-by-step explanation: I’m sm0rt :0

8 0

3 years ago

Read 2 more answers

Pls help!!!

lys-0071 [83]

Answer:

Step-by-step explanation:

let the width be w

length=w+10

area=w(w+10)

w²+10w=255

use quadratic formular

6 0

3 years ago

HElp please i really need help 100<br> points

Delvig [45]

Answer:

yes

Step-by-step explanation:

8 0

3 years ago