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Stolb23 [73]
1 year ago
8

Please answer fast

Mathematics
1 answer:
worty [1.4K]1 year ago
5 0

Considering the area of a triangle, the region that has a population density less than 60 animals per square mile is:

C. c.

<h3>What is the area of a triangle?</h3>

The area of a triangle of base b and height h is given by:
A = 0.5bh.

Item a:

We have that b = 40, h = 35, hence the area in miles squared is given by:

A = 0.5 x 40 x 35 = 700.

The density is the number of animals divided by the area, hence:

D = 42500/700 = 60.7.

Item b:

We have that b = 38, h = 25, hence the area in miles squared is given by:

A = 0.5 x 38 x 50 = 950.

Then, the density is:

D = 60800/950 = 64.

Item c:

We have that b = 42, h = 49, hence the area in miles squared is given by:

A = 0.5 x 42 x 49 = 1029.

Then, the density is:

D = 57300/1029 = 55.7.

Hence option C is correct.

More can be learned about the area of a triangle at brainly.com/question/21735282

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<em>Choice-A</em> is the answer to this math problem.

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Answer:

f(x) and g(x) are inverse functions

Step-by-step explanation:

In the two functions f(x) and g(x) if, f(g(x)) = g(f(x)) = x, then

f(x) and g(x) are inverse functions

Let us use this rule to solve the question

∵ f(x) = 3x²

∵ g(x) = \sqrt{\frac{x}{3}}

→ Find f(g(x)) by substitute x in f(x) by g(x)

∴ f(g(x)) = 3(\sqrt{\frac{x}{3}})²

→ Cancel the square root with power 2

∴ f(g(x)) = 3(\frac{x}{3})

→ Cancel the 3 up with the 3 down

∴ f(g(x)) = x

→ Find g(f(x)) by substitute x in g(x) by f(x)

∴ g(f(x)) = \sqrt{\frac{3x^{2}}{3}}

→ Cancel the 3 up with the 3 down

∴ g(f(x)) = \sqrt{x^{2}}

→ Cancel the square root with power 2

∴ g(f(x)) = x

∵ f(g(x)) = g(f(x)) = x

→ By using the rule above

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Step-by-step explanation:

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39.95 + 9.80 = 49.75

70.23 - 49.75 = 20.48

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The width of a rectangle measures (7d + 8f) centimeters, and its
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The expression which represents the perimeter, in centimeters, of the rectangle is; (18d +10f) centimetres.

<h3>Perimeter of a rectangle</h3>

Since the perimeter of a rectangle is given by the formula;

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In essence, Perimeter, P = 2(2d – 3f) + 2(7d + 8f)

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Ultimately, the perimeter of the rectangle is; (18d +10f) centimetres.

Read more on perimeter of a rectangle;

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