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3 years ago

What is the area of triangle LMN? Round to the nearest square meter.

Mathematics

2 answers:

kolezko [41]3 years ago

7 0

<span>The answer is 9 square meters.</span>

Over [174]3 years ago

5 0

Here I think the given data was LM=7,MN=6 and perimeter was given by 16m
As we know perimeter is the sum of all the sides
so Perimeter=LM+MN+NL
NL=Perimeter-(LM+MN)
NL=16-7-6
NL=3
By Heron's formula
Area=sqrt(s(s-a)(s-b)(s-c)).
where s=perimeter/2
so s=16/2=8
area=sqrt(8(8-7)(8-6)(8-3))
area=8.94427191
after rounding off
area=9

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2 years ago

A habitat of prairie dogs can support mmm dogs at most.

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The correct answer is p = K × x × (m - p) , where K is the constant of proportionality and x is the current population of the habitat.

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Let us consider the current population of the habitat be x.

Given the condition that the habitat's population, p, grows proportionally to the product of the current population (x) and the difference between m and p.

Thus the proportional equation would look like:

p ∝ x × (m - p)

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3 years ago

A water cup is shaped like a cone. It has a diameter of 3 inches and a slant height of 5 inches. About how many square inches of

daser333 [38]

Options were missing in the question;

A water cup is shaped like a cone. It has a diameter of 3 inches and a slant height of 5 inches. About how many square inches of paper do you need to make a cup? Use 3.14 to approximate pi.

24 square inches

31 square inches

47 square inches

52 square inches

Answer:

24 square inches

Step-by-step explanation:

Given:

Diameter = 3 in

So we can say that;

Radius is half of diameter.

radius (r) = $\frac{3}{2}=1.5\ in$

Slant height (l) = 5 in

We need to find how many square inches of paper do you need to make a cup.

Solution:

Now according to question we required to find the amount of paper used to make cup.

Also Water cup is shaped liked cone.

Hence we can say that the base of cone is not covered since it will remain open.

So we will use Lateral surface area of the cone to find the paper requirement.

Now we know that;

Lateral surface area of cone is equal to π times radius times slant height.

framing in equation form we get;

$A_L = \pi rl=3.14\times1.5\times5 = 23.55 in^2 \approx 24\ in^2$

Hence We can say that 24 square inches of paper will be needed to make the cup.

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3 years ago