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Musya8 [376]
3 years ago
14

You are helping to plan an awards banquet for your school, and you need to rent tables to seat 180 people. Tables come in two si

zes. Small tables seat 4 people and large tables seat 6 people *write an equation modeling the situation
Mathematics
1 answer:
pshichka [43]3 years ago
3 0

Answer:

An equation modeling the situation  is : 4 m + 6 n  = 180

Step-by-step explanation:

Here,  the total number of guests in the banquet hall = 180

Let us assume number of tables ordered  with capacity of

4 people each  = m

And number of tables ordered  with capacity of 6 people each  = n

So, total number of people in m tables = m x ( Capacity of 1 table)

=  m x (4)  = 4 m

And, total number of people in n tables = n x ( Capacity of 1 table)

=  n x (6)  = 6 n

So, the total capacity of ( m + n) tables  = 4 m + 6 n

Also, the total required capacity  = 180

⇒  4 m + 6 n  = 180

Hence, an equation modeling the situation  is : 4 m + 6 n  = 180

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First question:

The line segment that is 40 ft long is a tangent to the circle, meaning it creates a right angle with the radius that intersects it.

Let r be the radius of the circle.

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I'm hoping you remember the Pythagorean Theorem because this is going to be an important equation for this problem (and the next).

Let's use the dimensions of the right triangle and create a Pythagorean Theorem truth statement:

r^2+40^2=(20+r)^2

Simplify the right side so it's easier to solve

r^2+1600=400+40r+r^2

Subtract both sides by r²

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Subtract both sides by 400

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Divide both sides by 40

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The value of r is 30, meaning the radius is 30 feet.

Second question:

Please look at the attached image, it would be too hard to try and describe this in words.

We have a right triangle where the legs have a length of 3.6 and half of the length of KL, which is 4.

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3.6^2+4^2=x^2

Simplify

x^2=28.96

Use a calculator to take the square root of 28.96

x=5.3814...

The image is not complete so I can't see how I have to round it, so here are a few different ways this could be rounded:

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Answerer's Note:

I'm so sorry this took so long to answer. Let me know if you need any clarifications, thanks!

~ Padoru

3 0
3 years ago
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Step-by-step explanation:

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Step-by-step explanation:

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ira [324]

Answer:

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Step-by-step explanation:

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b + c = 75  

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Si reemplazamos [1] en [2],

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Answer:

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