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Nikolay [14]
3 years ago
8

Find the area and perimeter.

Mathematics
1 answer:
yan [13]3 years ago
3 0

Answer:

Area = 33√3

Perimeter = 122

Step-by-step explanation:

This is a parallelogram and perimeter for a parallelogram is calculated by adding side length to base and that's multiplied by 2

perimeter (6 + 11) × 2 = 122

The area is calculated by multiplying height to the base

there's a 30° 60° 90° special triangle inside the parallelogram and the side length that sees 60° in this special triangle is 3√3 so this is our height and base is given as 11

Therefore the area of this parallelogram is

3√3 × 11 = 33√3

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The sum of the digits of a two-digit number is 8. If the digits are interchanged ,new number is 10 more than double the original
vova2212 [387]

Answer:

Original number 26.

Step-by-step explanation:

xy - two-digit number

1) x + y = 8

2) Original two-digit number can be written as

10*x + y

3) If the digits interchanged yx,

then the new number can be written as

10*y + x

4)  Double the original number is

2*(10*x + y)

5) New number is 10 more than double the original number

(10*y + x) - (2*(10*x + y)) = 10

6) Now we have the system of 2 equations:

x + y = 8

(10*y + x) - (2*(10*x + y)) = 10 -----> 10y + x - (20x + 2y) = 10 ---> 8y - 19x = 10

x = 8 - y

8y - 19(8 - y) = 10

8y - 152 +19y = 10

27y = 162

y = 6

x = 8 - y = 8 - 6 = 2

x = 2

So, x =2, y = 6.

Original number 26.

Check:

Original number 26.

New number 62.

Double of the original number = 2*26= 52.

New number is 10 more than double the original number :

62 - 52 = 10 True

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3 years ago
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Tcecarenko [31]

Answer:

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Step-by-step explanation:

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makenzie earns 12.50 per hour being a lifeguard. how much will she earn in 5 days if she works 7 hours each day
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Which ordered pair is a solution to this equation? 3x + 7y = 13 (4, 1) (3, 1) (13, 2) (2, 1)
MAVERICK [17]
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= 3*2 + 7*1
   
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4 years ago
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