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fenix001 [56]
3 years ago
11

Find the perimeter in feet and in yards

Mathematics
1 answer:
scoray [572]3 years ago
3 0

The perimeter is the sum of the side lengths.

... P = 9 ft + 12 ft + 15 ft = 36 ft

There are 3 ft in a yard, so the perimeter is ...

... 36 ft = 12 × 3 ft = 12 yd

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Answer:

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3 years ago
You are going to mow your neighbor's lawn for some extra money. Below is a scale drawing of their lawn, where each square repres
Colt1911 [192]

9514 1404 393

Answer:

  1. rectangle; parallelogram with 90° angle
  2. 150 feet
  3. $40 flat rate

Step-by-step explanation:

1. The slope of AB is ...

  mAB = (yB-yA)/(xB-xA) = (4-0)/(6-3) = 4/3

The slope of AD is ...

  mAD = (yD-yA)/(xD-xA) = (6-0)/(-5-3) = 6/-8 = -3/4

The product of these slopes is (4/3)(-3/4) = -1, so the segments AB and AD are perpendicular.

The midpoints of AC and BD will be the same if the sum of their coordinates is the same:

  A+C = (3, 0) +(-2, 10) = (1, 10)

  B+D = (6, 4) +(-5, 6) = (1, 10)

The midpoints of the diagonals of ABCD are the same, so the figure is a parallelogram. One corner angle is 90°, so the parallelogram is a rectangle. The quadrilateral ABCD is a rectangle.

__

2.  Using the coordinate differences found in part 1, we know the length AB is the hypotenuse of a 3-4-5 triangle, so is 5 grid squares. Similarly, the length of AD is twice that length, so is 10 grid squares. The perimeter in grid squares is ...

  P = 2(L+W) = 2(10+5) = 30 . . . . grid squares

Each grid square represents 5 ft, so the perimeter is ...

  (30 squares)(5 ft/square) = 150 ft . . . perimeter

__

3. The rectangle is 5 × 10 grid squares, or 25 × 50 ft. Then its area is ...

  A = LW = (50 ft)(25 ft) = 1250 ft²

At $0.03/ft², the payment for mowing would be ...

  ($0.03/ft²)(1250 ft²) = $37.50

The $40 flat rate would make you the most money.

5 0
2 years ago
How many terms are in the following expression?<br> -4a +8C -4b +3
mart [117]

Answer: 4 terms

Step-by-step explanation:

-4a , 8c, -4b, and 3

8 0
3 years ago
Reggie earns $12.65 per hour and works 38 hours per week. How much does he warm in a week before taxes are taken out?
nexus9112 [7]
Reggie earns $480.70 a week before taxes are taken out.
6 0
3 years ago
What is the slope of a line passing through (7, 6) and (9, 0)?
r-ruslan [8.4K]
Slope is equal to rise over run. For this question we use 0-6=-6 as the numerator and 9-7=2 as the denominator, thus the slope is -6/2=-3
5 0
2 years ago
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