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3 years ago

How do you find answer for 8k=4/9

Mathematics

2 answers:

nasty-shy [4]3 years ago

8 0

Isolate k by dividing both sides by 8

8k=4/9
k=4/72

Reduce if possible

4/72 -> 1/18

mylen [45]3 years ago

8 0

8k= $\frac{4}{9}$
k = (4÷9)÷8
k = $\frac{4}{9} * \frac{1}{8}$
k = $\frac{4}{72} = \frac{1}{18}$

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Answer:

Part a) Exactly values

The width of the rectangle is $\frac{\sqrt{70}}{2}\ cm$

The length of the rectangle is $2\sqrt{70}\ cm$

Part b) Approximately values

The width of the rectangle is $4.2\ cm$

The length of the rectangle is $16.7\ cm$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The area of rectangle is equal to

$A=LW$

we have

$L=4x\ cm\\W=x\ cm$

substitute the values in the formula

$A=4x(x)$

$A=4x^2$

$A=70\ cm^2$

$70=4x^2$

Solve for x

Divide by 4 both sides

$\frac{70}{4}=x^2$

square root both sides

$x=(+/-)\frac{\sqrt{70}}{2}$

The solution is the positive value

$x=\frac{\sqrt{70}}{2}$

therefore

Exactly values

$L=4\sqrt{70}}{2}=2\sqrt{70}\ cm\\\\W=\frac{\sqrt{70}}{2}\ cm$

Approximately values

$L=4\sqrt{70}}{2}=16.7\ cm\\\\W=\frac{\sqrt{70}}{2}=4.2\ cm$

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Answer:

4.5 and -1.1 are rational numbers, -6 is an integer, and 12 is a whole number.

Step-by-step explanation:

Numbers:

4.5,-6,12,-1.1

Let's see which option is correct:

-1.1 is a rational number, 4.5 and -6 are integers, and 12 is a whole number.

4.5 in not an integer, it is incorrect

-1.1 and -6 are rational numbers, 12 is an integer, and 4.5 is a whole number.

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