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Mathematics

1 answer:

Marizza181 [45]3 years ago

5 0

Answer:

A) 200 students

B) 24

C) 46%

D) 46% are driven by car

Step-by-step explanation:

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Samantha is going on vacation for the summer and is trying to choose between two different plans. The first plan costs $450 for

ziro4ka [17]

Pretend the cost of the hotel is called "x" and the amusement park is "y"
make the equations.
450=3x+2y and 700=5x+3y
since you're solving for amusement park, you basically just solve for y
multiply the first equation by 5 and the second equation by 3.
2250=15x+10y and 2100=15x+9y
these are a system of equations so subtract one from the other to cancel the x values away.
150=y so the answer is that a day trip to the amusement park costs $150

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The Bill of Rights was added to the U.S. Constitution to support the Anti-Federalists’ demand for the protection of what?

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A. sales tax limits ??

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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:

Two triangles are similar when they have equal angles and proportional sides

It should be noted that to apply Thales' Theorem, it is necessary to establish the two triangles are similar, that is, that they have the corresponding angles equal or that their sides are proportional to each other.

Now, if we measure the shadow of the flagpole and the shadow of the person, at the same moment, 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.