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bija089 [108]
3 years ago
6

An artist is creating a sculpture using bendable metal rods of equal length. One rod is formed into the shape of a square and an

other rod into the shape of an equilateral triangle. If each side of the triangle is 2 inches longer than each side of the square, how long, in inches, is each rod?

Mathematics
2 answers:
Alika [10]3 years ago
6 0
Check the picture below.

so notice, their perimeter is the same, because the perimeter is just one rod anyway, and all rods are the same length, thus

\bf P_s=P_t\implies 4s=3(s+2)\implies 4s=3s+6\implies s=6

Lapatulllka [165]3 years ago
5 0

Answer:

24 inches

Step-by-step explanation:

We are given that an artist creating a sculpture using bendable metal rods of equal length.

One rod is in square shape and second rod is in equilateral triangle shape.

We have to find the length of each rod

Let side of square= x inches

Length of each side of equilateral triangle =x+2 inches

We know that perimeter of square=4\times side

Perimeter of equilateral triangle=3\times side

Using the above formula

Then , Length of square shaped rod=perimeter of square =4x

Perimeter of equilateral triangle =Length of equilateral shaped rod=3(x+2)

Length of square shaped rod=Length of equilateral triangle  shaped rod

4x=3(x+2)

4x=3x+6

4x-3x=6

x=6

Length of each side of square =6 inches

Length of square shaped rod=4\times 6=24 inches

Length of each side of equilateral side=6+2=8 inches

Length of equilateral shaped rod=8\times 3=24 inches

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Answer:

Draw a right triangle such that the distance between the two points is the hypotenuse. Hence, When you use the distance formula, you are calculating the length of the Hypotenuse of a right triangle.

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USLUIT il<br> Find x.<br> 45°<br> 30°
IceJOKER [234]

Answer:

111°

Step-by-step explanation:

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  • Add them to get 75°
  • Now you have two known angles 75° and 36°
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3 years ago
Find x. Round to the nearest tenth if needed.
alexdok [17]

Answer:

x = 16

Step-by-step explanation:

Use that the addition of all internal angles of a triangle must add up to 180, and the fact that the two given triangles are similar:

51 + 65 + 4 x = 180

combine and solve for "x"

116 + 4 x = 180

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5 0
3 years ago
Read 2 more answers
Please help will give brainliest ​
Ksju [112]

Answer:

a² = 144

b² = 25

c² = 169

c = 13

Step-by-step explanation:

• a² = 12×12

= 144

• b² = 5×5

= 25

• a² + b² = c²

= 144 + 25 = 169

• c = _/169

= 13

6 0
3 years ago
Plz asap 1. (5 points) What is the value of x? Show all of your work. Round your answer to the nearest tenth.
nalin [4]

Answer:

X = 20.6 inches

Step-by-step explanation:

Pythagorean Theorem: A^{2} =B^{2} +C^{2}

A = 41.2 in, while B = 35.7 in and we are solving for C.

41.2^{2} = 35.7^{2} +C^{2}

1697.44 = 1274.49 + C^{2}

Now solve for C

422.95 = C^{2}

Take the square root

20.5657482237 = C

3 0
3 years ago
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