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zhuklara [117]
3 years ago
7

Sketch these cartesin products on the x-y plane R^2 14. 11,21x1,1.5,2

Mathematics
1 answer:
ale4655 [162]3 years ago
3 0

Answer:

\left\{11, 21\right\} \times \left\{1, 1.5, 2\right\} = \left\{ (11, 1), (11, 1.5), (11, 2), (21, 1), (21, 1.5), (21, 2)\right\}

Step-by-step explanation:

The Cartesian product between two discrete sets, is given by all possible ordered pairs originated with the combinations of the elements of the two sets, thus the requested Cartesian product is:

\left\{11, 21\right\} \times \left\{1, 1.5, 2\right\} = \left\{ (11, 1), (11, 1.5), (11, 2), (21, 1), (21, 1.5), (21, 2)\right\}

A = (11, 1)\\B = (11, 1.5)\\C = (11, 2)\\D = (21, 1)\\E = (21, 1.5)\\F = (21, 2)\\

You can see the attached file

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Building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18 \pi18π18, pi m
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the area A of the cross section of the column is (81\pi )m^2 .

<u>Step-by-step explanation:</u>

Here we have , building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18π, pi meters. We need to find What is the area A of the cross section of the column .Let's find out:

We know that  , Circumference of circle = 2\pi r

⇒ Circumference = 2\pi r

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⇒ \frac{18\pi}{2\pi }= \frac{2\pi r}{2\pi }

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Therefore , the area A of the cross section of the column is (81\pi )m^2 .

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