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sergij07 [2.7K]
3 years ago
9

Write each fraction in simplest form 6/9 4/10 15/20 29/24 16/56 45/72 18/60 32/72

Mathematics
2 answers:
kobusy [5.1K]3 years ago
6 0

Answer:

6/9=2/3

4/10=2/5

15/20=3/4

29/24 stays the same because 29 is a prime number

16/56=2/7

45/72=5/8

18/60=3/10

32/72=4/9

Step-by-step explanation:

If both the numerator and denominator are even, then you can divide them by 2 until one or both of them become odd. If the number on both the top and bottom add up to a multiple of three, then you can divide the numbers by three. And it goes on to every prime number.

olya-2409 [2.1K]3 years ago
3 0
6/9=2/3
4/10=2/5
15/20=3/4
29/24=1 5/24
16/5=2/7
45/72=5/8
18/60=3/10
32/72=2/9

Hope this helps and hope you have a great day and brainiest is always appreciated
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Answer:

10

Step-by-step explanation:

3 x 3 + 5 - 6 + 2=

PEMDAS states we do multiplication first.

9 + 5 - 6 + 2

Since it's just addition and subtraction, we calculate left to right

14 - 6 + 2

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10

8 0
3 years ago
Prove the function f: R- {1} to R- {1} defined by f(x) = ((x+1)/(x-1))^3 is bijective.
Eduardwww [97]

Answer:

See explaination

Step-by-step explanation:

given f:R-\left \{ 1 \right \}\rightarrow R-\left \{ 1 \right \} defined by f(x)=\left ( \frac{x+1}{x-1} \right )^{3}

let f(x)=f(y)

\left ( \frac{x+1}{x-1} \right )^{3}=\left ( \frac{y+1}{y-1} \right )^{3}

taking cube roots on both sides , we get

\frac{x+1}{x-1} = \frac{y+1}{y-1}

\Rightarrow (x+1)(y-1)=(x-1)(y+1)

\Rightarrow xy-x+y-1=xy+x-y-1

\Rightarrow -x+y=x-y

\Rightarrow x+x=y+y

\Rightarrow 2x=2y

\Rightarrow x=y

Hence f is one - one

let y\in R, such that f(x)=\left ( \frac{x+1}{x-1} \right )^{3}=y

\Rightarrow \frac{x+1}{x-1} =\sqrt[3]{y}

\Rightarrow x+1=\sqrt[3]{y}\left ( x-1 \right )

\Rightarrow x+1=\sqrt[3]{y} x- \sqrt[3]{y}

\Rightarrow \sqrt[3]{y} x-x=1+ \sqrt[3]{y}

\Rightarrow x\left ( \sqrt[3]{y} -1 \right ) =1+ \sqrt[3]{y}

\Rightarrow x=\frac{\sqrt[3]{y}+1}{\sqrt[3]{y}-1}

for every y\in R-\left \{ 1 \right \}\exists x\in R-\left \{ 1 \right \} such that x=\frac{\sqrt[3]{y}+1}{\sqrt[3]{y}-1}

Hence f is onto

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8 0
3 years ago
A book with 650 pages has 3 pages with diagrams.
Mrac [35]

The pages that have diagrams is an illustration of proportions

0.46% pages have diagrams

<h3>How to determine the percentage</h3>

The given parameters are:

Total = 650 pages

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The percentage of page that has diagram is then calculated as:

Diagram\% = \frac{Diagrams}{Total} * 100\%

So, we have:

Diagram\% = \frac{3}{650} * 100\%

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Diagram\% = \frac{300}{650} \%

Divide

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2 years ago
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Olin [163]
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3 years ago
The angle of elevation of a tower, 45 m high from a ball on the ground 52 degree (a) how far is the ball from the foot of the to
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The ball would be moved 57.2m away from the foot of the tower for the Angle of elevation to be halved.

<h3>What is angle of elevation?</h3>

Angle of elevation is the angle formed between the horizontal and the  line of view from the vertical.

Analysis:

The height of the tower and the distance of the ball from the foot of the tower form a right angle triangle.

so we use trigonometry.

a) let distance of the ball from foot of tower be x.

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  x = 45/tan52

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b) let the distance of the ball in the new position from the foot of the tower be y.

if the angle of elevation is halved, then new angle is 52/2 = 26°

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y = 45/tan26 = 45/0.487 = 92.4m

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In conclusion, the distance of the ball from the foot of the tower and the distance the ball should move to make its elevation 26° are 35.18m and 57.2m respectively.

Learn more about angle of elevation: brainly.com/question/88158

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