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inna [77]
3 years ago
11

403 students go on a field trip there are 19 vehicles some vans and some buses. 7 students can fit in a van and 25 students can

fit in a bus​
Mathematics
1 answer:
Andrews [41]3 years ago
3 0

Answer:

Shii I hope so

Step-by-step explanation:

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What is the total price of a video game that costs $49.99 and the tax is 6%.
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The answer is $52.98 because you divide the percent by 100 then multiply the total by .06 then add that to your total.
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Find cos θ given that cos 2θ = 5/6 and 0 ≤ θ < π/2. Give an exact answer
trasher [3.6K]
\bf \textit{Double Angle Identities}
\\ \quad \\
sin(2\theta)=2sin(\theta)cos(\theta)
\\ \quad \\
cos(2\theta)=
\begin{cases}
cos^2(\theta)-sin^2(\theta)\\
1-2sin^2(\theta)\\
\boxed{2cos^2(\theta)-1}
\end{cases}
\\ \quad \\
tan(2\theta)=\cfrac{2tan(\theta)}{1-tan^2(\theta)}\\\\
-------------------------------\\\\


\bf cos(2\theta)=\cfrac{5}{6}\implies 2cos^2(\theta)-1=\cfrac{5}{6}\implies 2cos^2(\theta)=\cfrac{5}{6}+1
\\\\\\
2cos^2(\theta)=\cfrac{11}{6}\implies cos^2(\theta)=\cfrac{11}{12}\implies cos(\theta)=\pm\sqrt{\cfrac{11}{12}}


now, bear in mind, the square root gives us +/- versions, so, which is it? well, we know the angle is in the range of "<span>0 ≤ θ < π/2", that simply means the 1st quadrant, so, we'll use the positive one then

</span>\bf cos(\theta)=\cfrac{\sqrt{11}}{\sqrt{12}}\implies cos(\theta)=\cfrac{\sqrt{11}}{2\sqrt{3}}&#10;\\\\\\&#10;\textit{now, let's rationalize the denominator}&#10;\\\\\\&#10;\cfrac{\sqrt{11}}{2\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}}\implies \cfrac{\sqrt{11}\cdot \sqrt{3}}{2\sqrt{3^2}}\implies \cfrac{\sqrt{11\cdot 33}}{2\cdot 3}\implies \boxed{\cfrac{\sqrt{33}}{6}}<span>
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I need to know the answers for 9-13
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Use the number line to show and explain why 4 over 10 divided by 2 and 1 over 2 times 4 over 10 both equal 2 over 10
siniylev [52]

Answer:

Please find the graph in the attached file.

Step-by-step explanation:

\to \frac{\frac{4}{10}}{2} \ and \ \frac{1}{2} \times \frac{4}{10} =\frac{2}{10}\\\\\to \frac{0.4}{2} \ and \  0.5 \times 0.4 =0.2\\\\\to 0.2 \ and \ 0.2 =0.2\\\\ \to \frac{2}{10} \ and \  \frac{2}{10} = \frac{2}{10}\\\\

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3 years ago
For this item, any answers that are not whole numbers should be entered as decimals, rounded to the hundredth. Marissa's Fashion
trasher [3.6K]

You know that ...

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... $90.10 = (marked-up price) × 1.0625

Solving for (marked-up price) gives

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<u>Markup</u>

You also know that

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... $84.80 = $50.88 + markup

... $33.92 = markup . . . . . . . . . . . subtract $50.88

The percentage of markup can be figured a couple of different ways. It is easy to add a percentage to the cost price of an article, because the cost is generally right in front of the storekeeper when the article is received and prices are being marked. However, many accountants are interested in the percentage of the selling price that is available for overhead and profit, so they are interested in the markup as a percentage of selling price. The question here is non-specific as to the base to be used for figuring the percentage of markup.

The markup as a percentage of cost is

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The markup as a percentage of selling price is

... $33.92/$84.80 × 100% = 40%

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3 years ago
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