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Elina [12.6K]
3 years ago
11

What is 1.027 with the decimals repeating as a fraction in simplest form

Mathematics
1 answer:
k0ka [10]3 years ago
7 0

it should be 1 and 1/37

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Can anyone give a step-by-step guide on how to answer these types of questions? I'm really struggling with similar shapes so tha
Dafna11 [192]

Answer:

a) 8cm

b) 19.8cm

Step-by-step explanation:

The key to these types of questions is to keep proportions in mind.

To solve the first question, you want to find the proportion of the smaller triangle to the bigger triangle. The length of AE is 6cm, but the length of AD is (6+4) = 10cm. So the proportion of the bigger triangle to the smaller triangle is 10/6. So to find the lengths of the sides of the bigger triangle, we want to keep this number in mind.

The BE side is parallel to CD, so we have to use length of BE multiplied by the proportion in order to get the length of CD.

CD = 4.8 * (10/6) = 8

CD = 8cm

For the second question, you use the same concept to find all the other side lengths. The only one you need left for the shape EBCD is side BC. Do the same thing you did before, take the length of the side of the smaller triangle that corresponds with side AC on the bigger triangle. In this case, it's AB, which is 4.5cm. Multiply this by 10/6 to get AC.

AC = 4.5 * (10/6) = 7.5

AC = 7.5

But we're not done. We just found the length of AC, but we need the length of BC to calculate the perimeter. To do this, we want to take the length of AC - the length of AB.

7.5 - 4.5 = 3

So the length of BC is 3cm. Now, to find the perimeter, just add all the sides of EBCD together.

4.8 + 4 + 8 + 3 = 19.8cm.

Hope this helps.

8 0
3 years ago
Read 2 more answers
What is the explicit formula for this sequence?<br> -9, - 3, 3, 9, 15, ...
Rudiy27

Answer:

-15+6d

Step-by-step explanation:

The common difference of the sequence is -3+9=6

The formula is an=a+(n-1)d, an=-9+(n-1)*6=-15+6d

4 0
3 years ago
17+(−8)+(−8) CAN YOU HELP GUY pls
professor190 [17]

Answer:

1

Step-by-step explanation:

17 + (-8) + (-8) = 17 + (-16)

                      = 1

If two numbers have same sign, then add and put the sign.

So, add (-8)and (-8), the result will have the sign (-).  -16

If two numbers have different sign, subtract and the result will have the sign of the bigger number.

17 and (-16) have different sign and the bigger number sign is +

So, the result is 1

3 0
3 years ago
Read 2 more answers
fredy the frog was 18 feet down below ground in a well and is trying to climb out the first day he climbed up 7 feet but slid ba
lisov135 [29]

Writing this situation out in terms of operating with integers and indicating Fredy's position at the moment is as follows:

Fredy's position in the well = <u>13 feet in depth</u> or 5 feet from the bottom.

<h3>What is an integer?</h3>

An integer is a whole number, both positive and negative.

<h3>Data and Calculations:</h3>

Depth of well = 18 feet

Height climbed the first day = 7 feet

Height climbed the second day = 4 feet

Height of climb up the well = 11 feet

Depth of slid on the first day = 2 feet

Depth of slid on the second day = 4 feet

Total slid down the well = 6 feet (2 + 4)

The position of Fredy the Frog is at 13 feet (18 - 11 + 6) depth

Thus, based on integer operations, we can conclude that Fredy the Frog has only climbed <u>5 feet</u> (18 - 13) from the well's depth.

Learn more about integers at brainly.com/question/17695139

#SPJ1

<h3>Question Completion:</h3>

Fredy the frog was 18 feet down below ground in a well and is trying to climb out. The first day he climbed up 7 feet but slid back down <u>2 feet</u> the next day he climbed 3 feet but slid back down 4 feet.

7 0
2 years ago
Solve 3(5x-4) &lt; 15x
ollegr [7]

Answer:

All real numbers

Step-by-step explanation:

3(5x - 4) < 15x

~Distribute left side

15x - 12 < 15x

~Subtract 15x to both sides

-12 < 0

Best of Luck!

5 0
3 years ago
Read 2 more answers
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