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quester [9]
3 years ago
9

Express the first quantity as a percentage of second quantity $45, $120.

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
5 0

Answer: 37.5%

Step-by-step explanation:

Percentage = Given Quantity/Total Quantity*100

So here, it will be like: 45/120*100

                                    =0.375*100

                                    =37.5%

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A. Name 3 different angles which could have a reference angle of 20 degrees. How did you arrive at this answer?.
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<u>Answer:</u>

<u>Answer:a. Since 20° is in the first quadrant, the reference angle is 20° .</u>

<u>Answer:a. Since 20° is in the first quadrant, the reference angle is 20° .b. Reference Angle: the acute angle between the terminal arm/terminal side and the x-axis. The reference angle is always positive. In other words, the reference angle is an angle being sandwiched by the terminal side and the x-axis. It must be less than 90 degree, and always positive.</u>

<u>Answer:a. Since 20° is in the first quadrant, the reference angle is 20° .b. Reference Angle: the acute angle between the terminal arm/terminal side and the x-axis. The reference angle is always positive. In other words, the reference angle is an angle being sandwiched by the terminal side and the x-axis. It must be less than 90 degree, and always positive.c. The rays corresponding to supplementary angles intersect the unit circles in points having the same y-coordinate, so the two angles have the same sine (and opposite cosines).</u>

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3 years ago
Solve x^2 – 8x + 41 = 0 for x.
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What Fraction Of The Wall Did Kevin Paint?
Mila [183]

Kevin painted \frac{1}{9} of the wall.

Solution:

Fraction of the wall painted by Elena = \frac{5}{9}

Fraction of the wall painted by Matthew = \frac{3}{9}

Fraction of the wall painted by Kevin = ?

Full wall can be taken as 1.

<u>To find the wall painted by Kevin:</u>

Rest of the wall = Full wall – painted by Elena – Painted by Matthew

                          $=1-\frac{5}{9}-\frac{3}{9}

                          $=\frac{1}{1} -\frac{5}{9}-\frac{3}{9}

To make the denominator same, multiply the numerator and denominator of the first term by 9.

                          $=\frac{9}{9} -\frac{5}{9}-\frac{3}{9}

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