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4 years ago

On the photo /picture

Mathematics

1 answer:

asambeis [7]4 years ago

6 0

We need to compute the diagonal of yhe square.

d²=7²+7²=49×2cm²

d=7×sqrt(2)=7×1.41=9.87cm.

The diagonal we just computed is the diameter of the circle that contains the square.

Since d=9.87 < 11, then indeed, the square fits inside the circle, without touching it.

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Which of the following can be used to appropriately measure the weight of a car<br>

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What is the value of x in the <br> triangle?

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3 years ago

The junior and senior class officers are sponsoring a homecoming dance. The total cost for the facilities and catering is $45 pe

larisa86 [58]

Answer:

Domain is (0,∞)

Range is (45, ∞)

Step-by-step explanation:

Let x represents the number of persons and f(x) represents the average cost per person,

∵ Fixed cost = $ 2500

Also, additional cost is $ 45 per person,

So, the total cost for x persons ( in dollars ) = fixed deposit + additional cost for x persons,

= 2500 + 45x

$\text{Average cost for x persons}=\frac{\text{Total cost}}{x}$

$\implies f(x)=\frac{2500+45x}{x}$

Which is a rational function,

∵ A rational function is defined for all real numbers except those for denominator = 0

Denominator of f(x) = x

So, f(x) is defined for all real numbers except x ≠ 0,

Now, the cost can not be negative,

⇒ x > 0

Hence, the domain for f(x) is (0, ∞)

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$f(x)=45+\frac{2500}{x}$

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$f(x)\rightarrow 45$

So, 45 < f(x) < ∞

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3 years ago