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shutvik [7]
1 year ago
11

A 40 inch board is to be cut into three pieces so that the second price is 4times as long as the first piece and the third piece

is 5 times as long as the first piece find the length of all three pieces
Mathematics
1 answer:
Anastasy [175]1 year ago
3 0

Answer:

Step-by-step explanation:

Givens

Let the first piece be x

Let the second piece 4x

Let the third piece = 5x

Total length = 40 inches.

Equation

x + 4x + 5x = 40                Combine

Solution

10x = 40                             Divide by 10

10x/10 = 40/10        

x = 4

Answer

The smallest piece (x) = 4

The middle piece 4x  = 4*4 = 16

The largest piece 5x= 5 * 4 = 20

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A given <u>shape</u> that is <em>bounded</em> by three <em>sides</em> and has got three <em>internal angles</em> is referred to as a <em>triangle</em>. Types of <u>triangles</u> include right angle triangle, isosceles triangle, equilateral triangle, acute angle triangle, etc. The<em> sum</em> of the <u>internal</u> <u>angles</u> of any triangle is 180^{o}.

In the given question, point P is such that <APB = <APC = <BPC = 120^{o}. Also, line PB bisects <ABC into two <u>equal</u> measures. Thus;

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Apply the <em>Sine rule</em> to determine the <u>value</u> of <em>PB</em>, such that;

\frac{AP}{Sin B} = \frac{BP}{Sin30}

\frac{8}{Sin30} = \frac{BP}{Sin 30}

BP = \frac{8*Sin30}{Sin 30}

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BP = 8.0

Therefore, the <u>value</u> of <u>BP</u> = 8 units.

For more clarifications on applications of the Sine rule, visit: brainly.com/question/15018190

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