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3 years ago

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A pair of shoes costs $52.99 and the sales tax is 8% use the fromula c=p+rp to find the total prices

1 answer:

Molodets [167]3 years ago

5 0

The total will be 57.23. Because tax would be 4.24 and add it to 52.99 and you get 57.23.

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Futhe Mathematics<br><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 :-

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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

HELP MEH Please write the coordinates of the x-intercept: y = 500

zaharov [31]

Well, there needs to be an equation.

4 0

3 years ago

Read 2 more answers

An economist is interested in studying the spending habits of consumers in a particular region. The population standard deviatio

Lena [83]

Answer:

The width is $w = \$ 729.7$

Step-by-step explanation:

From the question we are told that

The population standard deviation is $\sigma = \% 1,000$

The sample size is $n = 50$

The sample mean is $\= x = \$ 15,000$

Given that the confidence level is 99% then the level of significance is mathematically represented as

$\alpha = 100 - 99$

=> $\alpha = 1\%$

=> $\alpha = 0.01$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table, the value is

$Z_{\frac{\alpha }{2} } = Z_{\frac{0.01 }{2} } = 2.58$

Generally margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} * \frac{\sigma }{\sqrt{n} }$

substituting values

$E = 2.58 * \frac{1000 }{\sqrt{50} }$

$E = 2.58 * \frac{1000 }{\sqrt{50} }$

$E = 364.9$

The width of the 99% confidence interval is mathematically evaluated as

$w = 2 * E$

substituting values

$w = 2 * 364.9$

$w = \$ 729.7$

5 0

2 years ago

Expand the expression 8(x-7)

Minchanka [31]

Answer:

ig it Will be 8x-56 becoz 8 multiplies x and 7 and we get 8x-56

7 0

3 years ago

Read 2 more answers

A student takes 1/6 hour to paint a picture frame. How many picture frames can the student paint in 4 hours

Sergeeva-Olga [200]

Answer:

24 picture frames

Step-by-step explanation:

Since a student takes 1/6 hour to paint a picture frame, so in an hour, the student will paint a total of 6 picture frames. So to find the number of picture frames in 4 hours, you just need to multiply 4*6 to get 24 picture frames.

6 0

3 years ago

Read 2 more answers