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3 years ago

18/15 into a mixed number

Mathematics

1 answer:

mamaluj [8]3 years ago

3 0

$\frac{18}{15} = \frac{18:3}{15:3} = \frac{6}{5} =1 \frac{1}{5}$

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Which of the following is true?

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In this question, we're trying to find the inequality that is true.

To find your answer, we can convert the numbers in the absolute value:

|−5| < 4:

5 < 4 false

|−4| < |−5|:

4 < 5 true

|−5| < |4|

5 < 4 false

|−4| < −5

4 < -5 false

The only true inequality here would be |−4| < |−5|, since it works with the inequality sign.

Answer:

|−4| < |−5|

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3 years ago

Jack looks at a clock tower from a distance and determines that the angle of elevation of the top of the tower is 40°. John, who

zmey [24]

Answer:

18.7939 m

Step-by-step explanation:

-Let x be the distance between John and clock tower.

-Let y be the vertical distance from the eyes of the two men standing to the top of the clock tower.

#Taking the right triangle ACD:

$\Tan \ theta=\frac{Perpendicular \ Height}{Base}\\\\Tan \ 60\textdegree=\frac{y+1.5}{x}\\\\y=x \ Tan \ 60\textdegree -1.5$

#Taking the right triangle ABD:

$\Tan \ theta=\frac{Perpendicular \ Height}{Base}\\\\Tan \ 40\textdegree=\frac{y+1.5}{x+20}\\\\y=(x+20)\ Tan \ 40\textdegree -1.5$

#We equate the two yo solve for x and y;

$(x+20)\ Tan \ 40\textdegree -1.5=x\ Tan \ 60\textdegree -1.5\\\\(x+20)\ Tan \ 40\textdegree=x\ Tan \ 60\textdegree\\\\0.8391x+16.7820=1.7321x\\\\x=18.7939$

Hence, John's distance from the tower's base is 18.7939 m

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3 years ago

The land area of Charlotte, NC is approximately 3 x 102 square miles. There are 6.4 x 102 square acres in a square mile. How man

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Answer:

2.13 X 104 square acres

Step-by-step explanation:

Divide 6.4 acres by 3 miles = factor of 2.13

Therefore the answer must be 2.13 X 104 square acres

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i hope this will help :)

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2 years ago