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3 years ago

Which rational number equals 0.4? A. 2 over10 B. 2 over 9 C.4 over 10 D.4 over 9

Mathematics

2 answers:

kotegsom [21]3 years ago

5 0

Answer:

Answer C (4 over 10)

Step-by-step explanation:

A) 2 over 10 or 2/10 equals 0.2, therefore it is wrong

B) 2 over 9 or 2/9 equals 0.222..., therefore it is wrong

C) 4 over 10 or 4/10 equals 0.4, therefore it is correct

D) 4 over 9 or 4/9 equals 0.4444...,therefore it is wrong

Allisa [31]3 years ago

3 0

Answer:

C. 4/10

Step-by-step explanation:

a. 2/10 = 0.2

b. 2/9=0.2222...

c. 4/10=0.4

D. 4/9=0.4444...

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Amanda uses a rectangular canvas for a panting. The length is 6x-3 centimeters The width is 2x+6 centimeters,and is 4/5of the le

julia-pushkina [17]

Answer:

15 cm by 12 cm.

Step-by-step explanation:

Given:

Amanda uses a rectangular canvas for a panting.

The length is $6x-3$ centimeters.

The width is $2x+6$ centimeters, and is 4/5 of the length .

Question asked:

.What are the dimensions of the canvas ?

Solution:

As given that the width is $\frac{4}{5}$ of the length.

$2x+6=\frac{4}{5} (6x-3)\\ \\ 2x+6=\frac{4}{5}\times6x-\frac{4}{5}\times3\\ \\ 2x+6=\frac{24x}{5} -\frac{12}{5} \\ \\$

Adding both sides by $\frac{12}{5}$

$2x+6+\frac{12}{5} =\frac{24x}{5} -\frac{12}{5}+\frac{12}{5}\\ \\ 2x+\frac{42}{5} =\frac{24x}{5}$

Subtracting both sides by $2x$

$2x-2x+\frac{42}{5} =\frac{24x}{5} -2x\\ \\ \frac{42}{5} =\frac{24x-10x}{5} \\ \\ \frac{42}{5} =\frac{14x}{5} \\ \\$

By cross multiplication:-

$5\times14x=5\times42\\ \\ 70x=210\\ \\$

By diving both sides by 70

$x=3$

Now, substituting the value:-

The length = $6x-3$ cm

= $6\times3-3=18-3=15\ cm$

The width = $2x+6$ cm

= $2\times3+6=6+6=12\ cm$

Thus, length and width of canvas are 15 cm and 12 cm.

7 0

3 years ago

Rewrite the following equation in log form: 2^2 = 4

Finger [1]

We have to write

$2^2 =4$

In log form

To convert exponential equation to log equation, we have to use the following rule $If \ a^b = c, \ then \ b=log_{a} c$

So we will get

$If \ 2^2 =4, \ then \ 2 = log_{2} 4$

$log_{2}4=2$

And that's the required log form .

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3 years ago

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Nady [450]

Answer:

Step-by-step explanation:

Given

sinΘ = $\frac{1}{\sqrt{2} }$ , then

Θ = $sin^{-1}$ ( $\frac{1}{\sqrt{2} }$ ) = 45° → B

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2 years ago

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melamori03 [73]

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