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3 years ago

Is -19 a rational number

Mathematics

1 answer:

maw [93]3 years ago

7 0

Answer:

Yes

Step-by-step explanation:

All rational numbers can be fully expressed as a fraction.

In this case, -19/1.

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Given WXYZ what is the measure of Z

nekit [7.7K]

Answer: 35

Step-by-step explanation:

5 0

3 years ago

How did u get 4/3. Because I’m confused

Svet_ta [14]

What’s the original question and I can help!

5 0

3 years ago

7 - 4 ( d - 3 ) = 23

astra-53 [7]

7 - 4 ( d - 3) = 23

7 - 4d + 12 = 23

Subtract 12 from both sides,

7 - 4d = 11

Subtract 7 to both sides

- 4d = 4

Divide -4 to both sides

d = -1

8 0

3 years ago

Read 2 more answers

I need help plsssss✨

Blababa [14]

Answer:

With?

Step-by-step explanation:

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