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valentinak56 [21]
2 years ago
7

If the diagonal of a square is 11.3 meters, approximately what is the perimeter of the square

Mathematics
2 answers:
zysi [14]2 years ago
6 0

Answer:

The perimeter of the square is 31.96\ m

Step-by-step explanation:

we know that

The perimeter of a square is equal to

P=4b

where

b is the length side of the square

Step 1

Find the length side of the square

The diagonal of the square is equal to

Applying the Pythagoras Theorem

d^{2} =b^{2}+b^{2}\\d^{2}=2b^{2}\\d=b \sqrt{2}

In this problem we have

d=11.3\ m

d=b\sqrt{2} ------> solve for b

b=d/\sqrt{2}

substitute the value of d

b=11.3/\sqrt{2}\ m

Step 2

Find the perimeter of the square

P=4b

Substitute the value of b

P=4(11.3/\sqrt{2})=31.96\ m

Natalija [7]2 years ago
5 0
The length of each side can be found using pythagoras theorem:-

11.3^2 = 2x^2     where x = length od each side
x = sqrt( [11.3^2  / 2)
x =  7.99 meters
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Step-by-step explanation:

1st

8x-59 + 2x-11 = 180

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10x = 180 + 70

10x = 250

x = 25

2nd

8x - 59 = 15y + 6

8(25) -59 = 15y + 6

200 -59 = 15y + 6

141 = 15y + 6

15y + 6 = 141

15y = 141 - 6

15y = 135

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A. 2y^4 over x^2

Step-by-step explanation:

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First, you will find the GCF of the equation which is: 7x^4y^2 .

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14x^4y^6 ÷ 7x^4y^2 = 2y^4

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2 years ago
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Paula and Kawai shared $312 in the ratio of 6:7. How much money<br> did each person get?
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Answer:

Paula get \$144 and Kawai get \$168.

Step-by-step explanation:

Given: Paula and Kawai shared \$312 in the ratio of 6:7.

To find: How much money  did each person get?

Solution:

We have,

Paula and Kawai shared \$312 in the ratio of 6:7.

So, let Paula get \$6x and Kawai get \$7x.

As per the question,

6x+7x=312

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A recipe calls for 2 tsp of salt, 1 tsp of pepper, and 4 tsp of garlic powder. How much pepper and garlic powder would you need
MakcuM [25]

Answer:

amount of pepper required= 7.5 tsp

amount of garlic powder required = 30 tsp

Step-by-step explanation:

Given,

amount of salt used for small batch of the recipe = 2 tsp

amount of pepper used for small batch of the recipe = 1 tsp

amount of garlic powder used for small batch of the recipe = 4 tsp

amount of salt used for the larger batch = 15 tsp

                                                             = 2 x 7.5 tsp

                                                             = amount of salt used for small batch the recipe x 7.5

So,

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                                                                       = 7.5 tsp

the amount of garlic powder needed for the larger batch= 7.5 x amount of garlic powder used for the small batch of recipe

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