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Basile [38]
3 years ago
14

Cameron went to McEats and bought items costing $1.49, 93¢, $1.29, and 79¢. How much total did he spend, including sales tax at

8%?
Mathematics
2 answers:
Alex17521 [72]3 years ago
6 0

As a first step we have to find the total cost of all the items that Cameron purchased at the store.

The total cost of all the four items are: 1.49 + 0.93 + 1.29 + 0.79 = $4.50

This is the bill without any tax. We have been given that there is an 8% Sales tax on the bill amount

The amount of sales tax = 8% * 4.50 = 8/100 * 4.50 = 0.08*4.50 = $0.36

So the total amount he spent = $4.50 + $0.36 = $4.86

n200080 [17]3 years ago
4 0
The total would come out to $4.86
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BabaBlast [244]

Hi there! Use the following identities below to help with your problem.

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What we know is our tangent value. We are going to use the tan²θ+1 = sec²θ to find the value of cosθ. Substitute tanθ = 4 in the second identity.

\large{ {4}^{2}  + 1 =  {sec}^{2} \theta } \\  \large{16 + 1 =  {sec}^{2} \theta } \\  \large{ {sec}^{2}  \theta = 17}

As we know, sec²θ = 1/cos²θ.

\large \boxed{sec \theta =   \frac{1}{cos \theta} } \\  \large \boxed{ {sec}^{2}  \theta =  \frac{1}{ {cos}^{2}  \theta} }

And thus,

\large{  {cos}^{2}  \theta =  \frac{1}{17}}   \\ \large{cos \theta =  \frac{ \sqrt{1} }{ \sqrt{17} } } \\  \large{cos \theta =  \frac{1}{ \sqrt{17} }  \longrightarrow  \frac{ \sqrt{17} }{17} }

Since the given domain is 180° < θ < 360°. Thus, the cosθ < 0.

\large{cos \theta =   \cancel\frac{ \sqrt{17} }{17} \longrightarrow cos \theta =  -  \frac{ \sqrt{17} }{17}}

Then use the Identity of sinθ = tanθcosθ to find the sinθ.

\large{sin \theta = 4 \times ( -  \frac{ \sqrt{17} }{17}) } \\  \large{sin \theta =  -  \frac{4 \sqrt{17} }{17} }

Answer

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3 years ago
Find value of h for the parallelogram to the right.​
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3 years ago
Simplify the expression (4a^2 +2ab) - (2a^2 -ab + b^2) what is the coefficient of the term b^2
iragen [17]

In the simplified expression, the coefficient of the term b² is -1.

<h3>Order to solve Math Operations</h3>

When you solve any Math Operations, it is necessary to be attentive to the order of the operations.

First, you should solve the operation insides of Parentheses. After that priority is given to Exponents. Thereon,  you can solve multiplication or division operations from left to right. Finally, addition or subtraction  from left to right

See the order below

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The question gives the expression (4a² +2ab) - (2a² -ab + b²). Therefore, for solving the expression you should follow the order of the math operations.

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Like, there are no more similar terms. Therefore, you can represent the expression (4a² +2ab) - (2a² -ab + b²) by  the expression  2a²+3ab-b².

Learn more about the algebraic expression here:

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Please help me if you know<br> it means a lot thank you
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Answer:3

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