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goldfiish [28.3K]
3 years ago
5

Please answer it in two minutes

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
4 0

Answer:

IJ = 6

Step-by-step explanation:

This is a 30-60-90 triangle.

The ratio of the lengths of the sides is:

1 : sqrt(3) : 2

The short leg is the length of the long leg divided by sqrt(3).

The hypotenuse is twice the length of the short leg.

IK = JK/sqrt(3) = 3sqrt(3)/sqrt(3) = 3

IJ = 2IK = 2(3) = 6

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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
11. When you multiply two decimals less than 1, how does the product compare to the factors?
ANEK [815]

Answer:

The product is usually smaller than the two numbers multiplied

Step-by-step explanation:

When we multiply two decimals less than one, it is a certainty that the result of the multiplication would be less than the two decimals that were multiplied. An example is the multiplication of the decimals below;

0.958 * 0.325

which equals 0.31135

We can see from the example above that the result of the multiplication of the two decimals that are less than one, results in a product that is less than the factors that were multiplied.

5 0
3 years ago
A rhombus and a square have one and the same side of 6 cm. The area of the rhombus is 4/5 of the area of the square. Find the he
Arada [10]
You will find the area the square and then find out what 4/5 of that area is.

A = bh
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A = 36 square cm

4/5 of 36 square cm
4/5 x 36
28 4/5 square cm

The area of the rhombus is 28 4/5 square cm.  Use this to solve for the height of the rhombus.

A = bh
<u>28 4/5</u> = <u>6 x h</u>
6            6
h = 4 4/5 cm

The height of the rhombus is 4 4/5 cm.
7 0
3 years ago
Evaluate 9+ w/5 + 5h when h= -8 and w= 20
andrezito [222]

Answer:

<u><em>Answer is below</em></u>

Step-by-step explanation:

<u><em>Evaluate for h=−8,w=20</em></u>

<u><em>9+20/5+(5)(-8)</em></u>

<u><em>So therefore your answer would be -27</em></u>

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3 years ago
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tino4ka555 [31]
Just use quiz lit and it’ll give you all the answers you need for your answers. Ok. Yes n. Hebdudiduejanoaow. 2628484.
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