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3 years ago

.24 repeating as a fraction but the 4 is the only thing repeating

Mathematics

1 answer:

Natasha2012 [34]3 years ago

6 0

Answer:

22/90.

Step-by-step explanation:

0.24444... * 100 = 24.4444...

0.244444.. * 10 = 2.44444....

Subtract:

0.244444.. * 90 = 22

So the required fraction is 22/90.

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A restaurant bill before tax is $15.50. How much is a 15% tip for this bill? How much money should be left for the whole bill?

ahrayia [7]

Answer:

The tip would be approximately $2.33. The total amount of money that should be left on the bill is $17.73.

Step-by-step explanation:

To determine the tip: 15.50 times 0.15 = 2.325 ≈ 2.33

To determine the total: 15.50 plus 2.33

4 0

3 years ago

How many different arrangements of 7 letters can be formed if the first letter must be W or K (repeats of letters are allowed)?

mestny [16]

Answer:

Written

tin

ten

tent

wit

Step-by-step explanation:

is this Correct

coz I don't get the queen

4 0

2 years ago

Aaron works as a bar attendant and receives $11 per hour. On Saturday he works for five hours at normal time and three hours ove

scoundrel [369]

Answer:

so his total pay for Saturday would be $104.50

Step-by-step explanation:

He works 5 hours at $11 per hour which gets a total of 55$

He also works 3 hours of overtime where he gets payed 1.5x pay

11 x 1.5 = 16.5 (10x1.5 = 15 1x1.5 = 1.5)

so he gets $16.5 per hour for 3 hours which = 49.5$

49.5 + 55 = $104.50

5 0

2 years ago

Find the value of x (really need help with this)

qwelly [4]

Answer:

x=-7

Step-by-step explanation:

The sum of the angles of a triangle are 180 degrees

40 + x+57 + 90 =180

Combine like terms

187 +x = 180

Subtract 187 from each side

187-187 +x = 180-187

x = -7

4 0

3 years ago

Futhe Mathematics <img src="https://tex.z-dn.net/?f=%28Cos%20%7B%7D%5E%7B4%7Dt%20-Sin%20%7B%7D%5E%7B4%7Dt%20%29%20%20%5Cdiv%2

Nastasia [14]

Answer:

cos2t/cos²t

Step-by-step explanation:

Here the given trigonometric expression to us is ,

$\longrightarrow \dfrac{cos^4t - sin^4t }{cos^2t }$

We can write the numerator as ,

$\longrightarrow \dfrac{ (cos^2t)^2-(sin^2t)^2}{cos^2t }$

Recall the identity ,

$\longrightarrow (a-b)(a+b)=a^2-b^2$

Using this we have ,

$\longrightarrow \dfrac{(cos^2t + sin^2t)(cos^2t-sin^2t)}{cos^2t}$

Again , as we know that ,

$\longrightarrow sin^2\phi + cos^2\phi = 1$

Therefore we can rewrite it as ,

$\longrightarrow \dfrac{1(cos^2t - sin^2t)}{cos^2t}$

Again using the first identity mentioned above ,

$\longrightarrow \underline{\underline{\dfrac{(cost + sint )(cost - sint)}{cos^2t}}}$

Or else we can also write it using ,

$\longrightarrow cos2\phi = cos^2\phi - sin^2\phi$

Therefore ,

$\longrightarrow \underline{\underline{\dfrac{cos2t}{cos^2t}}}$

And we are done !

$\rule{200}{4}$

Additional info :-

Derivation of cos²x - sin²x = cos2x :-

We can rewrite cos 2x as ,

$\longrightarrow cos(x + x )$

As we know that ,

$\longrightarrow cos(y + z )= cosy.cosz - siny.sinz$

So that ,

$\longrightarrow cos(x+x) = cos(x).cos(x) - sin(x)sin(x)$

On simplifying,

$\longrightarrow cos(x+x) = cos^2x - sin^2x$

Hence,

$\longrightarrow\underline{\underline{cos (2x) = cos^2x - sin^2x }}$

$\rule{200}{4}$

7 0

2 years ago