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3 years ago

A college textbook cost $90.00. If the sales tax rate is 6.5%, then how much will the tax be?

Mathematics

2 answers:

RideAnS [48]3 years ago

7 0

Answer:

$5.85

Step-by-step explanation:

The sales tax is 6.5% of the selling price of the book:

0.065($90.00) = $5.85.

svp [43]3 years ago

3 0

Total with tax $95.85

Tax alone $5.85

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Step-by-step explanation:

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3 years ago

Read 2 more answers

The angle \theta_1θ

enyata [817]

Answer:

$sin\theta_1 = \dfrac{\sqrt{217}}{19}$

Step-by-step explanation:

It is given that:

$cos\theta_1 = -\dfrac{12}{19}$

And we have to find the value of $sin\theta_1 = ?$

As per trigonometric identities, the relation between $sin\theta\ and \ cos\theta$ can represented as:

$sin^2\theta + cos^2\theta = 1$

Putting $\theta_1$ in place of $\theta$ Because we are given

$sin^2\theta_1 + cos^2\theta_1 = 1$

Putting value of cosine:

$cos\theta_1 = -\dfrac{12}{19}$

$sin^2\theta_1 + (\dfrac{12}{19})^2 = 1\\\Rightarrow sin^2\theta_1 + \dfrac{144}{361} = 1\\\Rightarrow sin^2\theta_1 = 1-\dfrac{144}{361}\\\Rightarrow sin^2\theta_1 = \dfrac{361-144}{361}\\\Rightarrow sin^2\theta_1 = \dfrac{217}{361}\\\Rightarrow sin\theta_1 = +\sqrt{\dfrac{217}{361}}, -\sqrt{\dfrac{217}{361}}\\\Rightarrow sin\theta_1 = +\dfrac{\sqrt{217}}{19}, -\dfrac{\sqrt{217}}{19}$

It is given that $\theta_1$ is in 2nd quadrant and value of sine is always positive in 2nd quadrant. So, the answer is.

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3 years ago

Which reason best describes why you can divide any number by 100 by moving the decimal point two places to the left?

11111nata11111 [884]

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4 years ago

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Karolina [17]

Answer:

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Step-by-step explanation:

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