3 years ago

Which of these steps will eliminate a variable in this system?

Mathematics

1 answer:

PSYCHO15rus [73]3 years ago

3 0

C. multiply the second equation by two. Then add the equations

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A rectangle is inscribed in a circle of radius r. If the rectangle is not a square, which of the following could be the perimete

evablogger [386]

Answer:

$2r(\sqrt{3}+1)$

Step-by-step explanation:

A rectangle is inscribed in a circle of radius r.

Radius of the circle is 'r' . the diameter of circle is 2 times radius is 2r

The diameter of the circle becomes the diagonal of the rectangle.

The one part of the rectangle forms a triangle with hypotenuse 2r

Triangle is a special 30:60:90 degree angle

the ratio of the special triangle is $1: \sqrt{3} :2$

Hypotenuse is '2r' , so the ratio becomes

$r: \sqrt{3}r :2r$

So the width of the rectangle is 'r' and length of the rectangle is $\sqrt{3}r$

Perimeter = 2 times length + 2 times width

$perimeter = 2\sqrt{3} r+2r=2r(\sqrt{3}+1)$

7 0

3 years ago

Two thirds of a number reduced by 11 is equal to 4 more than the numher. find the number

Anika [276]

Answer:

- 45

Step-by-step explanation:

let n be the number , then

$\frac{2}{3}$ n - 11 = n + 4 ( add 11 to both sides )

$\frac{2}{3}$ n = n + 15 ( multiply through by 3 to clear the fraction

2n = 3n + 45 ( subtract 2n from both sides )

0 = n + 45 ( subtract 45 from both sides )

- 45 = n

The number is - 45

8 0

3 years ago

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Please include an explanation !!

Nonamiya [84]

Answer:

Step-by-step explanation:

Volume for a sphere: 4/3(pi)r^3

4/3(pi)(1x1x1)= 4/3pi

hope this helped :)

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3 years ago

Solve the equation:<br> x^3 + x^2 – 20x=0

Aneli [31]

Answer: x=0

Step-by-step explanation:

7 0

4 years ago

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With which set of information can you construct a unique triangle?

galina1969 [7]

I believe the answer is d

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3 years ago