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topjm [15]
3 years ago
8

The number of ounces in an unknown number of pounds. Let z= the variable.

Mathematics
1 answer:
earnstyle [38]3 years ago
6 0

Answer:

16z

Step-by-step explanation:

z = the unknown number of pounds

16 ounces in 1 pound.

So  z pounds =  16z    

or   it can be given as a proportion;

\frac{16   ounces}{1 pound} (z)

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Answer:

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3 years ago
A regular hexagon with side length 4 has the same area as a square. What is the length of the square?
svetlana [45]

Answer: The length of the square is 6.44

Step-by-step explanation:

By definition, the area of a Regular polygon can be calculated with the following formula:

A=\frac{s^2n}{4tan(\frac{180}{n})}

Where "s" the length of any side of the polygon and "n" is the number of sides .

According to the information given in the exercise, you know that:

s=4

Since an hexagon has six sides, you know that:

n=6

Therefore, its area is:

A_h=\frac{(4^2)(6)}{4tan(\frac{180}{6})}\\\\A_h=24\sqrt{3}

The formula to find the area of a square is:

A=s^2

Where "s" is the length of any side of the square.

Since that regular hexagon has the same area as this square, you can substituting the area calculated above into the formula for calculate the area of a square, and then solve for "s".

Then you get:

24\sqrt{3}=s^2\\\\\sqrt{24\sqrt{3}}=s\\\\s=6.44

7 0
3 years ago
I need help on this :,)​
masha68 [24]

Answer:

a. Figure B and Figure C

b. Figure C

c. Figure B and Figure C

Step-by-step explanation:

Parallelograms need at least one pair of sides to be parallel.

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Rectangles need to have all interior angles equal to 90 degrees.

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3 years ago
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Answer:

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Step-by-step explanation:

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