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kondor19780726 [428]
3 years ago
12

A garden measuring 10 meters by 7 meters is going to have a walkway constructed all around the perimeter, increasing the total a

rea to 130 square meters. What will be the width of the pathway?
Mathematics
1 answer:
SashulF [63]3 years ago
5 0

The width of the pathway is 3m

Step-by-step explanation:

Let the width of the pathway be 'w'

The area will be 130 square meters

The dimensions of the garden is 10 x 7

Area = (10+w) (7+w)

130 = 70 + 17w + w^2

w^2 + 17w - 60 = 0

w^2 +20w - 3w - 60 = 0

w ( w + 20) - 3 ( w + 20) = 0

(w + 20) (w - 3) = 0

w = -20 ( or) w = 3

w is the width and cannot be negative.

So, w = 3 meters

The width of the pathway is 3m

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miss Akunina [59]

Answer:

y=39\degree

Step-by-step explanation:

The given triangle is a right angle triangle .

The known sides of the triangle that is opposite to angle y is 8 units while the side adjacent is 10 units.

The value of y can be calculated using the tangent ratio.


\tan(y)=\frac{8}{10}

We solve for y to get,

y=arctan(\frac{4}{5})

We evaluate to obtain,

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2X+2Y=48<br> 3X+Y=40 <br><br> What is X and Y
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Answer:

x=8

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Step-by-step explanation:

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Ther is many ways to solve this, one of them is clearance:

WE CLEAR AN UNLOCKED (X) AND REPLACE IT IN THE OTHER

x= (40-y)/3

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(80-2y)/3 +2y=48

(80-2y+6y)/3=48

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x=(40-16)/3

x=24/3

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