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3 years ago

11

The area of the rectangle is 72. The length and width have the ratio of 2:1. What’s the length and width?

1 answer:

Murljashka [212]3 years ago

3 0

The length would be 12 and the width would be 6 bc 12*6=72 and the the ratio 2:1 matches it

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Four brother each bought two hotdogs and a bag of chips at the football

jeyben [28]

Answer:

A-$1.65

Step-by-step explanation:

You multiply 1.25 by 4 because each brother bought a bag of chips. Then you subtract that by the total and get $13.20 you divide that by 8 hot dog because each brother got 2 hot dogs. By dividing 8 by the left over amount from subtracting the chips you get how much each hot dog is worth.

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2 years ago

Question 5: prove that it’s =0

mamaluj [8]

Answer:

Proof in explanation.

Step-by-step explanation:

I'm going to attempt this by squeeze theorem.

We know that $\cos(\frac{2}{x})$ is a variable number between -1 and 1 (inclusive).

This means that $-1 \le \cos(\frac{2}{x}) \le 1$ .

$x^4 \ge 0$ for all value $x$ . So if we multiply all sides of our inequality by this, it will not effect the direction of the inequalities.

$-x^4 \le x^4 \cos(\frac{2}{x}) \le x^4$

By squeeze theorem, if $-x^4 \le x^4 \cos(\frac{2}{x}) \le x^4$

and $\lim_{x \rightarrow 0}-x^4=\lim_{x \rightarrow 0}x^4=L$ , then we can also conclude that $\im_{x \rightarrow} x^4\cos(\frac{2}{x})=L$ .

So we can actually evaluate the "if" limits pretty easily since both are continuous and exist at $x=0$ .

$\lim_{x \rightarrow 0}x^4=0^4=0$

$\lim_{x \rightarrow 0}-x^4=-0^4=-0=0$ .

We can finally conclude that $\lim_{\rightarrow 0}x^4\cos(\frac{2}{x})=0$ by squeeze theorem.

Some people call this sandwich theorem.

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3 years ago

10. Makenzie is at the bakery. She sees a sign that says 8 pastries cost

kotegsom [21]

Answer:

$100

Step-by-step explanation:

8x= 160

160/8 = 20

x=20

5x = 100

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2 years ago

What is the value of tan M?

Lelu [443]

Answer:

The value of tan M = 15/8

Step-by-step explanation:

$tan \: m \: = \frac{p}{b} \\ tan \: m \: = \frac{15}{8}$

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2 years ago

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Luda [366]

6 because it has donuts

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3 years ago