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IgorC [24]
3 years ago
15

The vertices of a rectangle are given in the columns of the matrix (picture 1).

Mathematics
1 answer:
Alex17521 [72]3 years ago
8 0

Answer:

(0 , 0) , (18 , 0) , (18 , -18) , (0 , -18) ⇒ the second answer

Step-by-step explanation:

∵ The vertices of the rectangles are:

  (0 , 0) , (0 , 6) , (6 , 6) , (6 , 0)

∵ 3 × \left[\begin{array}{ccc}0&1\\-1&0\end{array}\right] × R

∴ That is mean The rectangle rotate 270° around the origin

  (270° anti-clockwise or 90° clockwise)

  and enlargement by scale factor 3

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Find area of the figure. Round your answer to nearest hundredth and use 3.14
Darya [45]

Answer

Area of the figure = 105.12 ft²

Explanation

The figure shown is a combination of a rectangle with length 10 ft. and width 8 ft., with a semicircle that has diameter 8 ft., which translates to a radius of 4 ft.

The area of the figure = (Area of the rectangle) + (Area of the semicircle)

Area of rectangle = L × W

L = Length = 10 ft.

W = Width = 8 ft.

Area of the rectangle = 10 × 8 = 80 ft²

Area of semicircle = Half of the area of a circle = ½ × πR²

π = pi = 3.14 (According to the question)

R = Radius of the semicircle = 4 ft.

Area of semicircle = ½ × 3.14 × 4² = 25.12 ft²

Area of the figure = 80 + 25.12 = 105.12 ft²

Hope this Helps!!!

7 0
1 year ago
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xxTIMURxx [149]

Answer:

-8 X 3 = -24 + 9 = -15 or you could do    -24+9=-15

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The sum of all the interior angles in a triangle is blank degrees. Please HELP
ozzi

Answer:

180º

Step-by-step explanation:

All the interior angles add up to 180º degrees.

3 0
3 years ago
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1. In a factory, all employees work a basic week of 38 hours. Any overtime worked during week-days is paid for at time and a hal
Troyanec [42]

Answer:

Step-by-step explanation:

1. reg pay: 8.96,week days: 1.5 overtime pay, sat: double pay, sun: triple pay

38 hrs regular pay : 38 * 8.96 = 340.48

15 hrs overtime during week : 15 * 1.5(8.96) = 15 * 13.44 = 201.60

3 hrs overtime on saturday: 3 * 2(8.96) = 3 * 17.92 = 53.76

2 hrs overtime on sunday: 2 * 3(8.96) = 2 * 26.88 = 53.76

Gross wage = (340.48 + 201.60 + 2(53.76) = 649.60 <====

===============================

2. reg pay : 14.60, weekday pay: 1.25,sat pay: 1.5 , sun pay: double

(a) basic wage = 40(14.60) = 584 <==

(b) overtime wage : 15 * 1.25(14.60) + 6 * 1.5(14.60) + 5 * 2(14.60) = (15 * 18.25) + (6 * 21.9) + (5 * 29.2) = 273.75 + 131.40 + 146 = 551.15 <==

(c) gross wage : 584 + 551.15 = 1135.15 <==

================================

3. basic work wk: 40 hrs...earned 518...overtime 148

(a) basic pay rate : (518 - 148) / 40 = 370/40 = 9.25 per hr <==

(b) if overtime is paid for at double time.....so overtime pay is (2 * 9.25) = 18.50 per hr....and he got paid 148....148/18.5 = 8 hrs <==

4 0
3 years ago
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