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Nataliya [291]
3 years ago
12

It’s my last question :(

Mathematics
1 answer:
jenyasd209 [6]3 years ago
6 0

Answer:

Perimeter =  28·√2 + 24 feet

Step-by-step explanation:

The dimensions of the initial sheet of plywood are;

The length of the sheet of plywood = 25 ft.

The width of the sheet of plywood = 14 ft.

The shape cut from each corner of the sheet of plywood  = A right triangle

The leg length of each of the cut out right triangles = 7 ft.

The number of leg lengths of the right triangle cut from the length side of the initial sheet of plywood = 2

The length of the parallel sides of the remaining hexagonal piece of plywood = Initial length of the plywood - 2 × The leg length of the cut out right triangle

∴ The length of the parallel sides of the remaining hexagonal piece of plywood = 26 ft. - 2 × 7 ft.  = 12 ft.

The other side length of the remaining hexagonal piece of plywood = The hypotenuse side of the cut out right triangle

The hypotenuse side of the cut out right triangle = √((7 ft.)² + (7 ft.)²) = 7·√2 ft.

∴ The other side length of the remaining hexagonal piece of plywood = 7·√2

The number of side lengths in the remaining hexagonal piece of plywood = 4

The perimeter of the remaining hexagonal piece of plywood = 2 × The length of the parallel sides + 4 × The other side lengths

∴ The perimeter of the remaining hexagonal piece of plywood = 2 × 12 ft. + 4 × 7·√2 = (28·√2 + 24) ft.

The perimeter of the remaining hexagonal piece of plywood = (28·√2 + 24) feet

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Answer:

18

Step-by-step explanation:

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In the Pythagorean theorem, the summation of the square of the legs in a right triangle is equal to the square of the hypotenuse.

Let a and b be the legs, and c is the hypotenuse.

a² + b² = c²

In this equation, the hypotenuse is 30, and the measure of one leg is 24.

We can solve this by plugging in the values.

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6 0
2 years ago
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Ostrovityanka [42]

Answer:

  • 24 in²

Step-by-step explanation:

<u>Given:</u>

  • w = 3√2 in
  • l = 4√2 in

<u>Area is:</u>

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6 0
3 years ago
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Which expression represents the distance between 4.7 and −11.2 on the number line?
Cerrena [4.2K]

Answer:

4.7 - ( -11.2)

Step-by-step explanation:

4.7 - ( - 11.2) = 15.9  

15.9 is the distance between 4.7 and -11.2

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Norma-Jean [14]

Answer:

36

Step-by-step explanation:

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Evaluate 5 + b ÷ (11 - 9) for b = 14.
Trava [24]

Answer:

12

Step-by-step explanation:

5 + b ÷ (11 - 9)

Substitute b = 14

5 + 14 ÷ (11 - 9)

Work the order of operations from left to right

Since there are no exponents, parentheses first

5 + 14 ÷ (11 - 9)

5+14  ÷ 2

Then division

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