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Blizzard [7]
3 years ago
13

A rectangular lawn has a diagonal path running across it. The lawn is 10m wide and 15m long. Work out the length of the path

Mathematics
1 answer:
Kisachek [45]3 years ago
5 0

Answer:

d = 18.02 m

Step-by-step explanation:

Given that,

A rectangular lawn has a diagonal path running across it. The lawn is 10m wide and 15m long.

We need to find the length of the path.

The diagonal of a rectangle can be calculated as follows :

d=\sqrt{10^2+15^2} \\\\d=18.02\ m

So, the length of the path is 18.02 m.

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Step-by-step explanation:

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Simplify 12 square root of 1764
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Which system or equation is represented in the graph?
melamori03 [73]

Answer:

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Step-by-step explanation:

<h3>Equation of the blue line:</h3>

since the line is horizontal and passes <u>-</u><u>2</u> the equation of the blue line should be

\displaystyle \large y =  - 2

<h3>Equation of the red line:</h3>

remember The form of equation of a line

\displaystyle \boxed{ \displaystyle  y = mx + b}

where m is slope of the line and b is the y-intercept we can clearly see that the red line crosses y-axis at (0,-3) therefore b=-3

to figure out m we can consider the following formula:

\displaystyle m =  \frac{ \Delta y}{ \Delta x}

from the graph we acquire ∆y=1 and ∆x=2

thus substitute:

\displaystyle m =  \frac{ 1}{ 2}

so we have figured out m and b

therefore our equation of blue line is

\displaystyle y =  \frac{1}{2} x - 3

our given options are in standard form so

move -3 to left hand side and change its sign:

\displaystyle y  + 3=  \frac{1}{2} x

cross multiplication:

\displaystyle 2y  + 6=  x

move 6 to right hand side and x to left hand side and change its sign

\displaystyle - x +  2y   =  -  6

multiply both sides by -1:

\displaystyle x  -   2y   =   6

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\displaystyle \begin{cases}   \displaystyle y =  - 2 \\ x - 2y = 6\\ \end{cases}

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