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zaharov [31]
2 years ago
13

The singing club charged each of its 20 members $2.60 to hire a hall for a performance . The hall owner gave the club $4.50 chan

ge . How much did the club pay to hire the hall
Mathematics
1 answer:
ioda2 years ago
3 0

Here there are 20 members in all.

Each member paid $2.60.

Total amount paid by members = 20 × 2.60 = $52

The club paid $47.50 to hire the hall. ......Answer

Hence the amount received by the hall = 52 - 4.50 = $ 47.50

The Hall charged $47.50 as the fee.

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Answer: Last option.

Step-by-step explanation:

Observe the base of the pyramid, which is a regular hexagon. You can see that there is a right triangle.

The area of the triangle can be calculated with this formula:

A_t=\frac{bh}{2}

Where "b" is the base and "h" is the height.

You can say that the apothem is the height of the right triangle, then, you need to find the base applying the Pythagorean Theorem:

(2x)^2=(x\sqrt{3})^2+b^2\\\\b=\sqrt{(2x)^2-(x\sqrt{3})^2} \\\\b=\sqrt{4x^2-3x^2}\\\\b=\sqrt{x^2}\\\\b=x

Then, the area of the triangle is:

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Since the base of the pyramid is a regular hexagon, then you can multiply by 12 the area of the right triangle calculated above, in order to find the area of the hexagon. Then you get:

A_h=12(\frac{x^2\sqrt{3})}{2})=6x^2\sqrt{3}\ units^2

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2 years ago
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D.Brand K will be $340.32 cheaper than Brand J.
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HJ is twice JK. J is between H and K. If HJ= 4x and HK=78, find Jk.
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You'll find it easier to understand if you illustrate the problem as what is shown in the attached picture. From the illustration and the problem description, two equations can be formulated:

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