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lina2011 [118]
2 years ago
12

The figure above shows a square inscribed in a rectangle.

Mathematics
1 answer:
Debora [2.8K]2 years ago
6 0

Answer:

31 units ²

Step-by-step explanation:

Area of a rectangle = length × width

Length = 8 units

Width = 5 units

Area of a rectangle = length × width

= 8 units × 5 units

= 40 units ²

Area of of the blue square = length ²

Length = 3 units

Area of of the blue square = length ²

= (3 units) ²

= 9 units ²

Area of the orange colored part of the figure = Area of a rectangle - Area of of the blue square

= 40 units ² - 9 units ²

= 31 units ²

Area of the orange colored part of the figure = 31 units ²

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There are 3 consecutive integers twice the first is 20 more than the second. Find the largest number
Burka [1]
Let's say "n" is a natural number. {1,2,3,4,..} To ensure we have an even number we will multiply "n" by 2. Two times any number will make an even number.

consecutive even numbers are like; 2, 4, 6, 8, 10 .. etc. Add +2 to the previous number to get the next consecutive.

1st even number = 2n
2nd even number = 2n + 2
3rd even number = 2n + 4

twice the first number (2n) is 20 more then the second (2n + 2).

2(2n) = 2n + 2 + 20

4n = 2n + 22

4n - 2n = 22

2n = 22

n = 11

Now use n = 11 to find the 3 consecutive even numbers.

1st even number = 2(11) = 22
2nd even number = 2(11) + 2 = 24
3rd even number = 2(11) + 4 = 26

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3 0
3 years ago
4.58+y=2.5<br><br> y= ??????
zepelin [54]

Answer:

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Step-by-step explanation:

If you just switch the problem, to make it 4.58-2.5, you get negative 2.5

6 0
2 years ago
Read 2 more answers
Compound Interest: Hannah is putting 10,000 dollars in the bank for 5 years at 6% p.a every 6 months what is her Final Balance?
8090 [49]
I think you can solve it by doing this: 

10(10,000+0.06)= Final Balance 

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^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
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So it should be 100000.6

Not sure if that's right so ask someone to check


6 0
3 years ago
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Mars2501 [29]
C 1:3


15:45 can be simplified by dividing by 15 to give you a ratio of 1minute if commercials for every 3 minutes of the actual show
8 0
2 years ago
Ava bought 2 sandwiches for a total of $5.25, a bowl of soup for $3.00, and a bag of chips for $1.25. How much change did she ge
Alborosie

Answer:

Step-by-step explanation:

5.25

3.00

1.25

_____

$ 9.50

- 20.00

_______

$10.5

6 0
3 years ago
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