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zimovet [89]
3 years ago
6

A random sample of the 1,200 students at Northern Elementary were asked which type of movie they prefer. The results are compile

d in a table. 15 like Action, 12 like Comedy, 3 like Historical, 10 like Horror, 4 like Mystery, and 6 like Science Fiction.
Use the data to estimate the total number of students at Northern Elementary school who prefer horror movies.
Mathematics
1 answer:
lara [203]3 years ago
4 0
The answer should 240 because the results add up 50 so if you do 1200/50 it will equal 24 so 24 times 10 is 240.
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Find the area of an equilateral triangle with apothem 7 cm.
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So hmm check the picture below

using the 30-60-90 rule, we get that much.. .bear in mind, an equilateral triangle has all equal sides, and therefore, all equal angles, so each angle is 60°, run a median through it from the center, and you split it in half

\bf \textit{area of an equilateral triangle}\\\\
A=\cfrac{s^2\sqrt{3}}{4}\qquad 
\begin{cases}
s=\textit{length of one side}\\
----------\\
s=14\sqrt{3}
\end{cases}\implies A=\cfrac{(14\sqrt{3})^2\sqrt{3}}{4}
\\\\\\
A=\cfrac{14^2\cdot 3\sqrt{3}}{4}\implies A=\cfrac{588\sqrt{3}}{4}\implies A=147\sqrt{3}

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3 years ago
7(4x - 2) - 4(2x - 8)
vesna_86 [32]

Answer:

20x + 18

Step-by-step explanation:

We need to use the distributive property, where we essentially take the sum of the product of the outside number with each of the inside terms.

In 7(4x - 2), 7 is the outside number and 4x and -2 are the inside numbers, so:

7(4x - 2) = 7 * 4x + 7 * (-2) = 28x - 14

In 4(2x - 8), 4 is the outside number and 2x and -8 are the inside numbers, so:

4(2x - 8) = 4 * 2x + 4 * (-8) = 8x - 32

Now, we have:

28x - 14 - (8x - 32) = 28x - 14 - 8x + 32 = 20x + 18

The answer is 20x + 18.

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