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VARVARA [1.3K]
4 years ago
5

Convert the repeating decimal to a fraction show all work to receive full credit. 0.46 repeating

Mathematics
1 answer:
jasenka [17]4 years ago
8 0

Answer: 46 over 99

46/99 *

Step-by-step explanation:

Explanation:

Case  

0 .46

If you intend  

0.464646

...

= 0 . 46

then:  0 . 46

= 46

 99

⋅ 0 . ¯ 9 = 46

   99

⋅ 1 = 46

  99

Note that  46  and 99  have no common factors larger than  

1  , so this is in simplest terms.

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Find the area of the following figure. Explain how you found your answer.
iragen [17]

Answer:

Below

Step-by-step explanation:

Let's say that each square on the grid represents 1 cm

First find the area of the two triangles

For the larger one: A = bh/2

A = 3 x 3 / 2

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For the smaller one : A = bh/2

A = 2 x 2 / 2

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For the rectangle : A = lw

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Hope this helps!

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3 years ago
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Solving systems of equations by subsitution
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4 0
3 years ago
a sector with a central angle measure of 7pi/4 in radians has a radius of 16cm what is the area of the sector
Jobisdone [24]

Answer:

The area of this sector is 224*pi cm² or approximately 703.72 cm²

Step-by-step explanation:

In order to calculate the area of a sector for which we have an angle in radians, we need to apply a rule of three in such a way that pi*r² is related to 2*pi radians in the same proportion as the given angle is related to the area of the sector we want to find. This is shown below:

2*pi rad -> pi*r² unit²

angle rad -> sector area unit²

2*pi / angle = pi*r² / (sector area)

2*pi*(sector area) = pi*r²*angle

sector area = [pi*r²*angle]/2*pi

sector area = r²*angle/2 unit²

Applying the data from the problem, we have:

sector area = [(16)²*(7*pi/4)]/2 = [256*(7*pi/4)]/2 = 64*7*pi/2 = 32*7*pi = 224*pi

sector area = 224*pi cm²

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7 0
4 years ago
Jeffrey is using a copy machine to make posters for a school play. The machine prints the posters at a constant rate. After 3 mi
jasenka [17]

Answer:

B: 11 minutes.

Step-by-step explanation:

So, we know that the machine prints at a constant rate.

After 3 minutes, the machine prints 108 posters.

So, let’s find the <em>unit rate. </em>We will divide the output over the input. So:

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So, the unit rate of the machine is 36 posters per minute.

We can write an equation. If t represent the number of minutes and p represent the amount of posters, then:

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We want to know how long it will take Jeffrey to make 396 posters.

So, we can substitute 396 for p and solve for t. Hence:

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Divide both sides by 36:

t=11

Therefore, it will take Jeffrey 11 minutes to make 396 posters.

7 0
3 years ago
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