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dsp73
2 years ago
7

HELP!! IM VERY CONFUSED ON HOW TO DO THIS!!

Mathematics
2 answers:
Maksim231197 [3]2 years ago
7 0
Answer:
Length side of triangle: 9 Inches
Length side of hexagon: 4.5 Inches

Explanation:

Triangle - 3 sides
1 side= (1.4x + 2 inches)

Hexagon - 6 sides
1 side= (0.5x + 2 inches)

Total perimeter of triangle = 3(1.4x + 2 inches) = 4.2x + 6 inches

Total perimeter of hexagon = 6(0.5x + 2 inches) = 3x + 12 inches

4.2x + 6 inches = 3x + 12 inches
4.2x - 3x = 12 inches - 6 inches
1.2x = 6 inches
0.1x = 0.5 inches

Side length of triangle =
0.5x = 2.5 inches
2.5 inches + 2 inches = 4.5 inches

Side length of hexagon =
1.4x = 7 inches
7 inches + 2 inches = 9 inches



dusya [7]2 years ago
6 0

Answer:

The side length of the equilateral triangle 9 inches.

The side length of the hexagon 4.5 inches.

The side length of the equilateral triangle = 1.4x + 2

So, the perimeter = 3(1.4x + 2) = 4.2x + 6.

The side length of the hexagon = 0.5x + 2

So, the perimeter = 6(0.5x + 2) = 3x + 12.

Given the the perimeters are equal.

So,

Hence,

The side length of the equilateral triangle = 1.4x + 2 = 1.4(5) + 2 = 9

The side length of the hexagon = 0.5x + 2 = 0.5(5) + 2 = 4.5

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7 0
3 years ago
an electronics company is designing a watch with a face that is in the shape of a hexagon and two congruent trapezoids attached.
nalin [4]

The total area of the face of the watch to the nearest tenth of a square centimemter is 9.0 cm²

Since an electronics company is designing a watch with a face that is in the shape of a hexagon and two congruent trapezoids attached. The heights of the trapezoids and the apothem of the hexagon measure 2 centimeters each, and the length of the shorter base of each trapezoid is 1.5 centimeters, the radii of the hexagon, and the base of the trapezoid form a triangle of

  • height, h = apothem of the hexagon = 2 cm and
  • base, b = length of shorter base of trapezoid.
<h3>Area of the triangle</h3>

So, the area of this triangle is A = 1/2bh

= 1/2 × 1. 5 cm × 2 cm

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= 1.5 cm²

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Since there are 6 of such triangles in the hexagon, the area of the hexagon, A' = 6A

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= 9.0 cm²

So, the total area of the face of the watch to the nearest tenth of a square centimemter is 9.0 cm²

Learn more about area of a hexagon here:

brainly.com/question/369332

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