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qaws [65]
3 years ago
6

Andre is creating a border around his rectangular patio with paver bricks. The coordinates of the vertices of the patio are ( 1,

5 ), ( 6,5 ), (6,1), and ( 1, 1 ). Each grid square has a length of 3 feet.Find the amount of brick, in feet,needed for the perimeter.
Mathematics
1 answer:
MrRa [10]3 years ago
5 0
The given coordinates are (1, 5), (6, 5), (6, 1) and (1, 1). Draw a rectangular figure using these coordinates. 

The measurements of each side are 4, 4 ,5, and 5. Therefore the perimeter of the patio is:

4 + 4 + 5 + 5 = 16 feet

If each grid of the square is 3 feet. The measurement of the upper part of the patio is 5 + 3 + 3 = 11 feet. The other side is 3 + 3 + 4 = 10 feet. So the total area of the patio plus the bricks is 10 x 11 = 110 sq. feet. The area of the patio is 4 x 5 = 20 ft.

Therefore, the remaining area is 110 - 20 = 90 ft.  
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Carlos has six cards in a bag, numbered 2, 2, 3, 6, 8, and 9. What is the probability Carlos will randomly select a 2 or a 9
AfilCa [17]

Answer:

50 percent

Step-by-step explanation:

100 percent divided by 6 (the amount of data) is 16 2/3.

Each number represents 16 2/3 percent.

3 of the numbers are either 2 or 9.

16 2/3x3=50.001

The final answer is a 50% probability.

<u>I think</u>

8 0
3 years ago
The midpoint of AB is M(3, -1). If the coordinates of A are (5,1), what are the
Vera_Pavlovna [14]

Given parameters:

Midpoint of AB =  M(3, -1)

Coordinates of A = (5,1)

Unknown:

Coordinates of B = ?

Solution:

To find the mid point of any line, we use the expression below;

              x_{m}   = \frac{x_{1} + x_{2}  }{2}    and y_{m}  = \frac{y_{1} + y_{2}  }{2}

where x_{m}  and y_{m} = coordinates of the mid points = 3 and -1

   x₁  = 5 and y₁ = 1

  x₂ = ?  and y₂ = ?

Now let us input the variables and solve,

            3  = \frac{5 + x_{2} }{2}           and     -1 = \frac{1 + y_{2} }{2}

    5 +  x₂  = 6                          -2 = 1  + y₂

            x₂ = 1                             y₂ = -2 -1 = -3

The coordinates of B = 1, -3

6 0
3 years ago
1. MONDAY (5/18): Which of the following functions matches the graph to the right
Strike441 [17]

Answer:

a.) f(x) = -⅙(x+3)²+6

Step-by-step explanation:

The maximum value, our vertex, is at point (-3,6).

We can insert this value into the vertex form of a quadratic function and then solve for a as follows...

4.5 = a(0 +3)^2 +6\\4.5=a(9)+6\\-1.5 = 9a \\-.17=a\\a = -1/6

a equals -1/6... We can input this into the original equation we used...

f(x) = -1/6(x+3)^2+6

Good luck on the bellwork ;)

7 0
2 years ago
Joshua is trying to decide if there is a relationship between a driver's age and the number of traffic tickets they get he surve
Rashid [163]

Hello!


The number of tickets is dependent on age, so age is the independent variable.


Think of it as a y = mx equation. In this equation, x is the input, and y changes depending on the value of x inputted.


In this situation, y is the number of tickets, as y changes depending on the age x inputted. x is age, the independent variable.




4 0
2 years ago
Find the product using the distributive property 2oo × 42.3
Greeley [361]

Answer:

Step-by-step explanation:

200 * 42.3 = 200 * (40 + 2.3)

                   = 200*40  + 200*2.3

                   = 8000 + 460.0

                   =8460

4 0
3 years ago
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