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Vladimir79 [104]

3 years ago

13

Is each fraction in simples form? Write yes or no 2/4

2 answers:

shusha [124]3 years ago

8 0

Hey there! :D

When a fraction is still divisible by a number, then it is not in it's simplest form.

For example, 3/6.

I know for a fact that 6/3=2 <== 3 is also divisible by itself.

3/6 (3/3=1) (6/6=1)

1/2 <== simplest form.

Try the same with 2/4.

4 is divisible by 2.

4/2= 2

2/2=1

1/2 is the simplest form.

I hope this helps!
~kaikers

jonny [76]3 years ago

8 0

Hey there!

In this fraction, we can imagine a circle, divided into four parts. One half of the circle with two parts, and the other half with another two. Shading in one is 1/4, and shading another would be 2/4. When we imagine this, we see that half the circle is filled, therefore it's not in simplest form. If we divide the top by 2 and bottom by two, we get the same answer as we've seen in our picture. It's equal to one half.

Hope this helps!

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Find the integration of (1-cos2x)/(1+cos2x)

slega [8]

Given:

The expression is:

$\dfrac{1-\cos 2x}{1+\cos 2x}$

To find:

The integration of the given expression.

Solution:

We need to find the integration of $\dfrac{1-\cos 2x}{1+\cos 2x}$ .

Let us consider,

$I=\int \dfrac{1-\cos 2x}{1+\cos 2x}dx$

$I=\int \dfrac{2\sin^2x}{2\cos^2x}dx$ $[\because 1+\cos 2x=2\cos^2x,1-\cos 2x=2\sin^2x]$

$I=\int \dfrac{\sin^2x}{\cos^2x}dx$

$I=\int \tan^2xdx$ $\left[\because \tan \theta =\dfrac{\sin \theta}{\cos \theta}\right]$

It can be written as:

$I=\int (\sec^2x-1)dx$ $[\because 1+\tan^2 \theta =\sec^2 \theta]$

$I=\int \sec^2xdx-\int 1dx$

$I=\tan x-x+C$

Therefore, the integration of $\dfrac{1-\cos 2x}{1+\cos 2x}$ is $I=\tan x-x+C$ .

8 0

2 years ago

Barbara can pay either $80 per month or one lump sum of $800 per year for car insurance. How much does she save yearly if she ch

Schach [20]

Answer:

$160

Step-by-step explanation:

In the monthly payment option she would pay $80 per month, therefore in a year (12 months) she would pay:

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We can see that this amount is greater than the $800 she would pay in the lump sum payment option.

The money she would save is:

$960 - $800 = $160

She would save<u> $160 yearly</u> with the lump sum payment option.

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What are a domain and range?

Nikolay [14]

Answer:

The domain and range of function is the set of all possible inputs and outputs of a function respectively.

The domain and range of a function y = f (x) is given as domain= {x ,x∈R }, range= {f (x), x∈Domain}.

The domain and range of any function can be found algebraically or graphically.

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Alexeev081 [22]

The answer is D because

60 times 5=300

20 times 8=160

25 times 9=225

33 times 10=330

Then add all of them and it gives you $1,015

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