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NeX [460]
4 years ago
9

What is the area of the composite figure whose vertices have the following coordinates? (−1, 5) , (3, 5) , (7, 3) , (3, 0) , (−1

, 1) Enter your answer in the box. units²

Mathematics
1 answer:
trasher [3.6K]4 years ago
5 0
We can see the figure as two triangles and a square.
 We have then:
 Area of the square:
 
A1 = (4) * (4)
 A1 = 16
 Area of the small triangle:
 
A2 = (1/2) * (4) * (1)
 A2 = 2
 Area of the big triangle:
 
A3 = (1/2) * (5) * (4)
 A3 = 10
 The area of the figure is:
 
At = A1 + A2 + A3
 At = 16 + 2 + 10
 At = 28units²
 Answer:
 
The area of the figure is:
 
At = 28units²
 
Note: see attached image

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How to do it please with explanations please
kogti [31]
Percent of change = (Amount of Change) / (Original Amount)
Percent of change = (375 - 350) / 350
= 25 / 350
= 1 / 14
= approximately 7.14%
So the employer is going to need at least a 7.14% increase.
6 0
4 years ago
A rectangular painting has an area of 420 square inches. If the length is (2x + 5) inches and the width is (x) inches, then what
Andrews [41]

Answer:

12.1 inches

Step-by-step explanation:

Since the length of the rectangular painting is (2x + 5) inches and its width is x inches, it area A = (2x + 5)x square inches = 2x² + 5x.

Also, A = 420 square inches. So,

2x² + 5x = 420

2x² + 5x - 420 = 0

diving through by 2, we have

2x²/2 + 5x/2 - 420/2 = 0/2

x² + 5x/2 - 210 = 0

adding halt the coefficient of x squared to both sides, that is (5/2 ÷ 2)² = (5/4)² to both sides, we have

x² + 5x/2 + (5/4)² - 210 = 0 + (5/4)²

Simplifying, we have

(x + 5/2)² - 210 = 25/16

adding 210 to both sides, we have

(x + 5/2)² - 210 + 210 = 25/16 + 210

(x + 5/2)² = 25/16 + 210

(x + 5/2)² = (25 + 3360)/16

(x + 5/2)² = 3385/16

taking square root of both sides, we have

√(x + 5/2)² = ±√(3385/16)

(x + 5/2) = ±√3385/4

(x + 5/2) = ±58.18075/4

(x + 5/2) = ±14.55

x = -5/2 ±14.55

x = -2.5 ±14.55

x = -2.5 - 14.55 or -2.5 + 14.55

x = - 17.05 or 12.05

Since x = width and it cannot be negative, we choose the positive answer.  So, x = 12.05 inches ≅ 12.1 inches (to the nearest tenth)

3 0
3 years ago
A line passes through the point (4,8) and has a slope of -3/2<br><br>Write an equation in Ax+By=C
nydimaria [60]

Answer:

The answer is

<h2>3x + 2y = 28</h2>

Step-by-step explanation:

To find an equation of the line using a point and the slope we use the formula

y - y1 = m(x - x1)

where

m is the slope

(x1 , y1) is the point

From the question

slope = -3/2

Point = (4,8)

So the equation of the line is

y - 8  =  -  \frac{3}{2} (x - 4)

Multiply through by 2

2y - 16 = -3( x - 4)

2y - 16 = - 3x + 12

3x + 2y = 16 + 12

We have the final answer as

<h3>3x + 2y = 28</h3>

Hope this helps you

6 0
4 years ago
The following data represent scores on a pop quiz in a business statistics section. Suppose the data on quiz scores will be grou
ruslelena [56]

Answer:

Taking data:

                         28 78 74 89 72

                         50 55 66 26 84

                         59 64 88 23 27

                         70 63 42 37 29

The answer is Width \ of\ class= 13

Step-by-step explanation:

As the data is not given in the question i'm guessing the data from the question i solved before

28 78 74 89 72

50 55 66 26 84

59 64 88 23 27

70 63 42 37 29

as taking the above data,

          Maximum\  value= 89

          Minimum\ vaue=23

          Number\ of\ classes\ scores\ are\ divided\ into =5\ classes

As we know for finding the width of class:

          Width\ of\ class = (max\ value - min\ value)/(\#\ of\  classes)

          Width = (89 - 23)/5 = 66/5

          Width = 13.2  ≈ 13

Note : By using the above given formula you can calculate the width of any data just by taking the maximum and minimum values of data and the number of classes the data is divided into.

8 0
3 years ago
Rewrite the product as a power: 0.027m^3
Alinara [238K]

(0.3m )³

note that 0.3 × 0.3 × 0.3  = 0.027, hence

0.027m³ = (0.03m)³


3 0
4 years ago
Read 2 more answers
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