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nikklg [1K]
3 years ago
6

To the nearest hundredth of a centimeter, what is the length of the hypotenuse?

Mathematics
1 answer:
AlekseyPX3 years ago
3 0
Sin 45 = 62.5/h
h = 62.5 / sin 45
h = 88.3 cm
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A regular hexagon is shown.
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Answer:

(C)9 in.

Step-by-step explanation:

The apothem of a regular polygon is a line segment from the center to the midpoint of one of its sides.

Given the hexagon with a radius of 10 inches

The apothem AB divides the side of the hexagon into two equal parts of 5 Inches as seen in the attached diagram.

Using Pythagoras Theorem

10^2=5^2+|AB|^2\\|AB|^2=10^2-5^2\\|AB|^2=75\\|AB|=\sqrt{75}\\ |AB|=8.66$ in\\\approx$ 9 in (rounded to the nearest inch)

<u>The correct option is C</u>

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The weekly ad for a local grocery store advertises a 5 pound bag of organic apples for $13.95
masya89 [10]
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Which of the following expressions is equal to 1 divided by 16
Ber [7]
The correct answer is:  [A]:  " (\frac{1}{2})⁴ " .
_______________________________________________

Note:  (\frac{1}{2})⁴  = \frac{1^{4} }{2^{4} } ;

                                                = \frac{1*1*1*1}{2*2*2*2} ;

                                                = \frac{1}{16} .
_______________________________________________________

Consider "Choice [B]" :  "(\frac{1}{2})⁴ " ;

Note:  (\frac{1}{4})⁴ =  \frac{1^{4} }{4^{4} } ;

                                                = \frac{1*1*1*1}{4*4*4*4} ;

                                                = \frac{1}{256} .

Note that:  "\frac{1}{256}" \neq "\frac{1}{16}" .
__________________________________________________________

Consider "Choice [C]" :  "(\frac{1}{8})² " ; 

Note:  (\frac{1}{8})²  = \frac{1^{2} }{8^{2} } ;

                                                = \frac{1*1}{8*8} ;

                                                = \frac{1}{64} .

Note that:  "\frac{1}{64}" \neq "\frac{1}{16}" .
__________________________________________________________
     →  As such, the only correct answer choice is:
__________________________________________________________
Answer choice:   [A]:  " (\frac{1}{2})⁴ " .
__________________________________________________________
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3 years ago
Which is the same as moving the decimal point 3 places to the left in decimal number?
oksano4ka [1.4K]
Multiply it by -1000
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