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3 years ago

Simplify each expression as much as possible, and rationalize denominators when applicable. . √36/√18= ?

Mathematics

1 answer:

tino4ka555 [31]3 years ago

7 0

Answer:

√2

Step-by-step explanation:

Solving the given expression step by step:

$\frac{\sqrt{36} }{\sqrt{18} } = \frac{6}{3\sqrt{2} }\ \ \ [\because \sqrt{36} = 6 \ and \ \sqrt{18} = 3\sqrt{2}] \\ = \frac{3 \times 2}{3\sqrt{2} } = \frac{ 2}{\sqrt{2} }= \sqrt{2}$

We rationalize denominator and change it into a simpler form as soon as possible.

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3 years ago

Suppose that the functions r and s are defined for all real numbers x as follows. =rx−x5 =sx+2x3 write the expressions for ·rsx

PolarNik [594]

Although the question's print is not clear, to the best of my knowledge, as I can see, We are given that:

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$\therefore (r.s)(x)=-x^5\times 2x^3=-2x^8$

Thus, for the functions r and s which are defined for all real numbers x, the answer to the question asked is:

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3 years ago

a flower garden contains 2 roses , 6 tulips , and 4 daffodil. what percentage of the flower are tulips?

Eva8 [605]

50 percent of the flowers are tulips

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3 years ago

Dominic works on the weekends and on vacations from school mowing lawns in his neighborhood. For every lawn he mows, he charges

Ivahew [28]

Answer:

$20\ lawns = \$240$

$9 \ lawns = \$108$

See Attachment for Graph

Step-by-step explanation:

Given

$1\ lawn = \$12$

Solving (a): Number of lawns in $240

$1\ lawn = \$12$

Multiply both sides by 20

$20 * 1\ lawn = \$12 * 20$

$20\ lawns = \$240$

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$1\ lawn = \$12$

Multiply both sides by 9

$9 * 1\ lawn = \$12 * 9$

$9 \ lawns = \$108$

To create a graph, we need to generate a formula;

$1\ lawn = \$12$

$2\ lawn = \$24$

$3\ lawns = \$36$

$x\ lawns = \$12x$

So:

The graph formula is

$y = 12x$

See Attachment for Graph

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3 years ago

Find the value of b that will make the equation sin 62°= cos B true when 0°

KiRa [710]

Hello from MrBillDoesMath!

Answer:

b = 28 degrees

Discussion:

In general,

sin (90 - @) = cos(@)

Set 90 [email protected] = 62 => @ = 28 so

sin (90-28) = sin(62) = cos(28) => b = 28

Thank you,

MrB

4 0

3 years ago