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exis [7]
3 years ago
8

Please help:( The graph below is the solution for which set of inequalities?

Mathematics
1 answer:
OleMash [197]3 years ago
6 0

Answer:

Option 3rd is correct.

Step-by-step explanation:

We have been given the graph of  the equation  

x+y\leq5

x+y\leq4

x\geq0

y\geq0

We can see that one line of is under 5.

And the other line is under 4

And we can see the feasible region is in positive quadrant.

Therefore, option 3rd is correct.

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3 years ago
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A six-foot-tall person is standing next to a flagpole. The person is casting a shadow 1 1/2 feet in length, while the flagpole i
lara31 [8.8K]

Answer: 20 ft

This problem can be solved by the Thales’s theorem, which states:

<em>Two triangles are similar when they have equal angles and proportional sides  </em>

It should be noted that to apply Thales' Theorem, it is necessary to establish <u>the two triangles are similar</u>, that is, that t<u>hey have the corresponding angles equal or that their sides are proportional to each other.  </u>

<u />

Now, if we measure the shadow of the flagpole and the shadow of the person, <u>at the same moment</u>, we can use the first Thales' Theorem to calculate the height of the flagpole, knowing the height of the person.

In this case we have two similar triangles (Figure attached) where H is the height of the flagpole, h=6 ft is the height of the person, A=5 ft is the length of the shadow of the flagpole and a=1\frac{1}{2}=1.5 ft is the length of the shadow of the person.

Having this clear, we can write the following relation with both similar triangles:

\frac{H}{h}=\frac{A}{a}   (1)

We know all these lengths except H, which is the value we want to to find.  

So, in order to approach this problem we have to find H from equation (1):  

H=\frac{A}{a}h  

H=\frac{5 ft}{1.5 ft}(6 ft)  

Then:

H=20 ft >>>>>This is the height of the flagpole

4 0
3 years ago
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Answer:

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Step-by-step explanation:

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Doss [256]

Answer:

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Step-by-step explanation:

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UNO [17]

Answer:

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Step-by-step explanation:

make sure to ask if you need any further guidance.

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