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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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8 0
3 years ago
Which of the following is a monomial?
KatRina [158]
The definition of monomial is an algebraic expression consisting of one term. 

a. 2xyz² is monomial.

b. 2x - yz is considered a binomial. (2 terms)

c. 2x + yz is considered a binomial. (2 terms)

d. 2 + xyz is also considered a binomial. (2 terms)

so the right answer is A.

hope this helped, God bless!
4 0
3 years ago
If the length of FG is 6 units, what is the length of EH?
QveST [7]

FG goes through the center of the circle, so FG is diameter.

d = 2r \\ r =  \dfrac{d}{2}  \\  \\ r =  \dfrac{6}{2}  = 3

EH=r=3

Answer: EH=3

4 0
3 years ago
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rjkz [21]

Answer:

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Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
7. If the area of a square is 64 square centimeters, what's the
Anvisha [2.4K]

Answer:

If you're asking what the perimeter is:

C 32cm

If you're asking what the length of a side is:

A 8cm

Step-by-step explanation:

Area of a square is calculated by length x width.

And all four sides of a square are equal in length.

Area: 8cm×8cm=64cm2

Perimeter: 8cm + 8cm + 8cm + 8cm= 32cm

Another way to find the length of the sides would be to take the square root of 64. I believe that only works with the area of a square though.

√(64)=8

5 0
3 years ago
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