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3 years ago

What is (7/12)/(5/9)? In simplest form..

Mathematics

2 answers:

kakasveta [241]3 years ago

8 0

7/12 times 5/9 equals 35/108. It is automatically in simplest form.

love history [14]3 years ago

5 0

$\frac{7}{12} / \frac{5}{9} =$

Change the division to multiplication through the reciprocal of the number being divided.

$\frac{7}{5} * \frac{9}{5} = \frac{21}{20}$

As mixed number:

$1 \frac{1}{20}$

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Step-by-step explanation:

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Tell whether the given value is a solution of the inequality. (yes or no)<br><br> -2 ≤ k/3; k = -9

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Answer: No, it is not a solution

Work Shown:

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-2 ≤ -9/3

-2 ≤ -3

The last inequality is false because -3 should be smaller than -2 (not the other way around). Use a number line to help see this.

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2 years ago

The diameter of a semicircle is 6 miles. What is the semicircle's perimeter?

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$15.42mi$

Step-by-step explanation:

Use the formula for a semicircle's perimeter.

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Plug in 6 for d.

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Let's use 3.14 for $\pi$ , just to make it easier, but of course, if it states to round it to something else, just plug in that many values for $\pi$ .

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Answer:

See proof below

Step-by-step explanation:

We will use properties of inequalities during the proof.

Let $y\in (x-\epsilon,x+\epsilon)$ . then we have that $x-\epsilon$ . Hence, it makes sense to define the positive number delta as $\delta=\min\{x+\epsilon-y,y-(x-\epsilon)\}$ (the inequality guarantees that these numbers are positive).

Intuitively, delta is the shortest distance from y to the endpoints of the interval. Now, we claim that $(y-\delta,y+\delta)\subseteq (x-\epsilon,x+\epsilon)$ , and if we prove this, we are done. To prove it, let $z\in (y-\delta,y+\delta)$ , then $y-\delta$ . First, $\delta \leq y-(x-\epsilon)$ then $-\delta \geq -y+x-\epsilon$ hence $z>y-\delta \geq x-\epsilon$

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