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3 years ago

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Mathematics

1 answer:

son4ous [18]3 years ago

5 0

Answer:

Expression for perimeter of triangle = 5x+8

Step-by-step explanation:

Given that:

Length of bottom of triangle = b = x

Length of other side = a = 3x + 5

Length of last side = c = x + 3

Perimeter of triangle = a + b + c

Perimeter = (3x+5)+x+(x+3)

Perimeter = 3x+5+x+x+3

Perimeter = 5x + 8

Hence,

Expression for perimeter of triangle = 5x+8

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Factorise the following expression using grouping and use binomial products to simplify.

rewona [7]

Answer:

11x-55-5a+ax

11(x-5)+a(x-5)

(11+a)(x-5)

Step-by-step explanation:

First you factor out the common factors

for(11x-55) is would be 11 as both of these figures are the multiple of 11

for(ax-5a) the common factor is a which will be factor out

Then after doing the process you will get

11(x-5)+a(x-5)

then factor out(x-5)which will give you

(11+a)(x-5)

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DerKrebs [107]

Answer:

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Step-by-step explanation:

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Mikayla planted a garden in her backyard in the shape of a right triangle. The two legs of the triangle are 12 feet each. Fencin

Dennis_Churaev [7]

Answer:

$204.85

Step-by-step explanation:

Let the two legs be the adjacent and the opposite of the right triangle. To get the third side (the hypotenuse), we will use the pythagoras theorem;

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Perimeter of the garden = 12 + 12 + 16.97

Perimeter of the garden = 40.97 feet

Since 1 foot = $5

40.97 feet = x

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3 years ago

A rectangle with an area of 3990 cm2 is x centimeters wide and (x+4) centimeters long. To the nearest tenth of a centimeter, the

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Answer: width:60.2 cm

Length: 64.2 cm

Step-by-step explanation:

Given

The area of the rectangle is $3990\ cm^2$

Width of the rectangle is $x\ cm$

Length of the rectangle is $x+4\ cm$

Area of the rectangle is the product of length and width

$\therefore 3990=(x+4)x\\\Rightarrow 3990=x^2+4x\\\Rightarrow x^2+4x-3990=0\\\Rightarrow x=60.198\ or\ -65.198\ cm\\\text{Neglecting negative term}\\\Rightarrow x=60.198\approx 60.2\ cm$

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Length of the rectangle is $60.2+4=64.2\ cm$

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