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2 years ago

8

The following double line graph represents the enrollment of students at Jefferson Middle School for 2006 through 2009. What was

the difference between seventh and eighth grade enrollment in 2008?

1 answer:

Mnenie [13.5K]2 years ago

5 0

Answer:

20

Step-by-step explanation:

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Evaluate the cosine if the angle of rotation which contains the point (9, -3) on its terminal side

Liono4ka [1.6K]

so we know the terminal point is at (9, -3), now, let's notice that's the IV Quadrant

$\bf (\stackrel{x}{9}~~,~~\stackrel{y}{-3})\impliedby \textit{let's find the \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{9^2+(-3)^2}\implies c=\sqrt{81+9}\implies c=\sqrt{90} \\\\[-0.35em] ~\dotfill$

$\bf cos(\theta )=\cfrac{\stackrel{adjacent}{9}}{\stackrel{hypotenuse}{\sqrt{90}}}\implies \stackrel{\textit{rationalizing the denominator}}{\cfrac{9}{\sqrt{90}}\cdot \cfrac{\sqrt{90}}{\sqrt{90}}\implies \cfrac{9\sqrt{90}}{90}}\implies \cfrac{\sqrt{90}}{10}\implies \cfrac{3\sqrt{10}}{10}$

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3 years ago

In a sale, normal prices are reduced by 20%. Andrew bought a saddle for his horse in the sale. The sale price of the saddle was

pshichka [43]

The formula for this is: (sale price) / (1 - percentage)
Percentage have to be in decimal form, so divide percentage by 100 to get the decimal form.

220/(1-.20) = $275

The original price was $275.

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3 years ago

What is the equation of the line that goes through the point (-2,5) and is parallel to the line below?

GenaCL600 [577]

Here is picture the answer

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3 years ago

Laura paid $200 for an item that was originally priced at $460. What percent of the original price did Laura pay? Round your ans

Ad libitum [116K]

Answer: 43.5%

Step-by-step explanation:

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3 years ago

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What 2 numbets add up to get 10 and multiply to get -39

kenny6666 [7]

13 and -3

13+-3=10
13x-3=-39

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3 years ago