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Evgesh-ka [11]
3 years ago
14

A rectangle has an area of 270m2.

Mathematics
1 answer:
Papessa [141]3 years ago
8 0
X * 3 = 270
Solving for x, x = 90

So one side is 90m and the other is 3m.
Now find entire perimeter 90+90+3+3=180+6=186m
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HEEELP
Drupady [299]

Answer: (c)

Step-by-step explanation:

Given

f(x)=\dfrac{1}{x-3}\\\\g(x)=\sqrt{x+5}

Here, \sqrt{x+5}\ \text{is always greater than equal to 0}\\\Rightarrow x+5\geq 0\\\Rightarrow x\geq -5\quad \ldots(i)

To get f\left(g(x)\right), replace x in f(x) by g(x)\ \text{i.e. by}\ \sqrt{x+5}

\Rightarrow f\left(g(x)\right)=\dfrac{1}{\sqrt{x+5}-3}\\\\\text{Denominator must not be equal to 0}\\\\\therefore \sqrt{x+5}-3\neq0\\\Rightarrow \sqrt{x+5}\neq 3\\\Rightarrow x+5\neq 9\\\Rightarrow x\neq 4\quad \ldots(ii)

Using (i) and (ii)  it can be concluded that the domain of f\left(g(x)\right) is all real numbers except 0.

Therefore, its domain is given by

x\in [-5,4)\cup (4,\infty)

Option (c) is correct.

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3 years ago
Overview Park has a picnic area and a playground, as shown in the diagram below. What is the area of the playground, in square f
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Answer:

Hi,

Step-by-step explanation:

The playground 's area is the difference of 2 squares:

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