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1 year ago

An angle turns through 2/8 of the circle.what is the measure of this angle

Mathematics

1 answer:

Anastasy [175]1 year ago

3 0

Answer:

90°

Step-by-step explanation:

note that $\frac{2}{8}$ simplifies to $\frac{1}{4}$

There are 360° in one turn of the circle , then

$\frac{1}{4}$ × 360° = 360° ÷ 4 = 90°

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First change to standard form of first order linear differential equation and then by finding the appropriate integrating factor

Leokris [45]

Answer:

Step-by-step explanation:

Given is a Differential equation as

$xy' + y = lnx ; y(e)=1$

To bring it to linear form we can divide the full equation by x

$y'+\frac{y}{x} =\frac{ln x}{x}$

This is of the form

y'+p(x) *y = q(x)

p(x) = 1/x

So find

$e^{\int\limits{\frac{1}{x} } \, dx } = e^{ln x} = x$

Solution is

$xy = \int {x*lnx /x } \, dx =xln x -x +C$

Use the initial value as y(e) =1

$e= eln e -e+C\\C=e$

So solution is

$xy =xln x -x+e$

5 0

3 years ago

How tall is the flagpole?<br> X<br> 6 ft<br> 15 ft<br> 4.5 ft

sweet-ann [11.9K]

Answer:

x = 20 ft

Step-by-step explanation:

We can use similar triangles and ratios to solve

4.5 ft 6 ft

--------- = ---------------

15 ft x ft

Using cross products

4.5x = 15*6

4.5x =90

Divide each side by 4.5

4.5x/4.5 = 90/4.5

x =20

3 0

3 years ago

Reduce the fraction -20t^5u^2v^3/ 48t^7u^4v

aleksklad [387]

$\dfrac{-20t^5u^2v^3}{48t^7u^4v}=\dfrac{-20}{48}\cdot\dfrac{t^5u^2v^2v}{t^5t^2u^2u^2v}=-\dfrac{5}{12}\cdot\dfrac{v^2}{t^2u^2}=-\dfrac{5v^2}{12t^2u^2}$

$Used:\\\\a^n\cdot a^m=a^{n+m}$

6 0

3 years ago

Show me how to solve 10>x/2 +4

postnew [5]

Treat this as if the inequality sign was the same thing as an equal sign. Most of the equality rules apply to inequalities (with a few exceptions)

$10>\dfrac{x}{2}+4$

Subtract both sides by 4

$10-4>\dfrac{x}{2}+4-4$

$6>\dfrac{x}{2}$

Multiply both sides by 2

$2\times6>\dfrac{x}{2}\times2$

$12>x$

We want the unknown variable on the left side (because it looks nicer)

$x$

5 0

3 years ago

Read 2 more answers

What are punctuation marks used to set off words that define or explain another word?

levacccp [35]

Answer:

parentheses

Step-by-step explanation:

Hope this helps <3

4 0

3 years ago