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dsp73
1 year ago
7

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

Mathematics
2 answers:
Maksim231197 [3]1 year 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]1 year 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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Diane has a rope that is 8 meters long. She cuts away a piece that is 1.67 meters long. How long is the remaining piece of rope?
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Step-by-step explanation:

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Remaining piece = Total length - cur length

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3 0
2 years ago
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Answer:

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8 0
3 years ago
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Find the​ fourth-degree polynomial function with zeros 4​, -4, 4i ​, and -4i . Write the function in factored form.
Iteru [2.4K]

Given:

A fourth-degree polynomial function has zeros 4​, -4, 4i ​, and -4i .

To find:

The fourth-degree polynomial  function in factored form.

Solution:

The factor for of nth degree polynomial is:

P(x)=(x-a_1)(x-a_2)...(x-a_n)

Where, a_1,a_2,...,a_n are n zeros of the polynomial.

It is given that a fourth-degree polynomial function has zeros 4​, -4, 4i ​, and -4i. So, the factor form of given polynomial is:

P(x)=(x-4)(x-(-4))(x-4i)(x-(-4i))

P(x)=(x-4)(x+4)(x-4i)(x+4i)

P(x)=(x-4)(x+4)(x^2-(4i)^2)           [\because a^2-b^2=(a-b)(a+b)]

On further simplification, we get

P(x)=(x-4)(x+4)(x^2-4^2i^2)

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6 0
2 years ago
A contractor purchases 7 dozen pairs of padded work gloves for $103.32. He incorrectly calculates the unit price at $14.76 per p
kvv77 [185]

Answer:

The correct unit price would be $1.23.

The contractor divided 103.32 by 7, resulting in an error.

Step-by-step explanation:

If we know a dozen equals 12, then 7 dozen looks like:

7(12)

Multiply.

84

Now we know the contractor purchases 84 pairs of padded work gloves.

Let's find our unit price:

<em>unit price =</em> \frac{cost}{units}

Substitute.

<em>unit price = </em>\frac{103.32}{84}

Divide.

<em>unit price = </em>1.23<em />

<em>__</em>

To find the error of the contractor, let's try substituting in a number (7) provided in the question to see if we get $14.76 per pair:

\frac{103.32}{7}

Divide.

14.76

7 0
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