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3 years ago

1/4 of what gets me to 45

Mathematics

1 answer:

gregori [183]3 years ago

4 0

1/4 of 180 gets you the answer 45

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Use the distributive property to generate an equivalent expression for<br> 2(10x-3)

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Answer:

20x - 6

Step-by-step explanation:

You just multiply 2 by 10x and by -3

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An object travels 60 miles in 1/2 hour. How many miles does the object<br> travel in 6 hours

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720

Step-by-step explanation:

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The sum of two integers is 627, and the larger number is 27 more than 7 times the smaller number. Find the two integers.

Alex777 [14]

Answer:

75 and 552 =627

Step-by-step explanation:

First=x

Second 7x+27

x+ 7x+27= 627

8x+27=627

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3 years ago

Figure ABCD is a rhombus. What other term describes figure ABCD?

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4 years ago

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Find the area of the regular polygon

Y_Kistochka [10]

Answer:

A = 374.123 ft^2

Step-by-step explanation:

First, lets calculate the perimeter:

Perimeter (p) = side length (s) * number of sides (n)

$p = s * n$

$p = 12 * 6$

$p = 72$

Next, lets find the apothem, which is the shortest length from any side to the middle. It's like the radius in a circle, but more complicated.

Apothem (a) = side length (s) / ( 2 * tan(180/number of sides (n)) )

$a = \frac{s}{2 * tan (\frac{180}{n} )}$

$a = \frac{12}{2 * tan (\frac{180}{6} )}$

$a = \frac{12}{2 * \frac{\sqrt{3} }{3}}$

$a = \frac{12}{\frac{2\sqrt{3} }{3}}$

$a = \frac{12*3}{2\sqrt{3}}$

$a = \frac{6*3}{\sqrt{3}}$

$a = \frac{18}{\sqrt{3}}$

Now, finally, to find the area of a regular polygon, we use the following equation:

Area (A) = ( apothem (a) * perimeter (p) ) / 2

$A = \frac{a * p}{2}$

$A = \frac{\frac{18}{\sqrt{3} } * 72}{2}$

$A = \frac{18}{\sqrt{3}} * 36$

$A = \frac{640}{\sqrt{3}}$

Turning into a decimal:

$A = 374.123 ft ^2$

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3 years ago