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Aneli [31]
2 years ago
7

Find the area of the shape shown below.

Mathematics
1 answer:
miskamm [114]2 years ago
5 0

Answer:

28 units^2

Step-by-step explanation:

1. First, let's divide this figure into two shapes: a square and a trapezoid. (Look at the image below explanation for division).

2. Next, we should know the area formulas of the square and trapezoid.

  • Square: s^2, where s = side
  • \frac{a+b}{2}h, where a and b = top and bottom and h = height

3. Solving Area of Square and Trapezoid

  • 4^2 = 4 * 4 = 16. Area of square is 16
  • \frac{4+2}{2}*4 = \frac{6}{2} * 4 = 3 * 4 = 12. Area of trapezoid is 12.
  • 16 + 12 = 28

Therefore, the area of the figure is 28 units^2.

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A baseball team has 15 field players and 10 pitchers. Each field player can take any of the 8 non-pitching positions. What is th
leonid [27]

Answer:

If order matters: 2,594,592,000 ways.

If order does not matter:  64,350 ways

Step-by-step explanation:

Assuming that the order matters when picking the non-pitching positions (since they are different positions), the number of possible different starting lineups is given by the permutation of picking 8 players out of 15, multiplied by 10 (pick one out of 10 pitchers):

n =10*\frac{15!}{(15-8)!}\\ n=10*15*14*13*12*11*10*9*8\\n=2,594,592,000

Now if the order of the field players is not important, the number of possible starting lineups is given by the combination of picking 8 players out 15, multiplied by 10:

n = n =10*\frac{15!}{(15-8)!8!}\\ n=\frac{10*15*14*13*12*11*10*9*8}{8*7*6*5*4*3*2} \\n=64,350

Therefore, the number of ways to pick the starting lineup is:

If order matters: 2,594,592,000 ways.

If order does not matter:  64,350 ways

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Answer:

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2 years ago
(8,3) and (-4,-3).<br> Slope
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Answer:

The slope is 1/2

Step-by-step explanation:

The rate of y over the rate of x so it would be y/x. You put the equation y2-y1/x2-x1

Which would look like -3-3/-4-8= -6/-12=6/12 and then you simplify it to 1/2

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It’s A i did the test myself..
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50 POINTS !!<br><br><br> PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Sliva [168]

Answer:

80

Step-by-step explanation:

18^2 + 80^2 = 82

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