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vodka [1.7K]
3 years ago
8

Calculate the area of the shape below:

Mathematics
1 answer:
AVprozaik [17]3 years ago
6 0

Answer:

54

Step-by-step explanation:

The square in the middle = 36, as 6x6=36

There are 2 triangles on each side of the center square.

Since the base of the trapezoid is 12, and the base of the square is 6, that leaves 3 for the base of each triangle.

3x6=18x1/2 (As a triangle's area is b (base) x h (height) x (one half) 1/2

18x1/2 is 9.

Each triangle equals 9.

36+9+9=54

The final answer is 54

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Find the equation of the linear function represented by the table below in the slope-intercept form.
MAXImum [283]

Answer:

y=x-32

Step-by-step explanation:

y=mx+b where m is the slope and b is the y-intercept.

slope=change in y/change in x

=5/5

y=5x+b --> choose a random point

(7,3) ---> 3=5(7)+b=35+b

b= -32

y=x-32

6 0
2 years ago
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Solve this problem please <br> x/3+6-2x=-6
Nikolay [14]

Answer:

36/5

Step-by-step explanation:

x/3 + 6 -2x = -6

multiply the whole equation by 3 to get rid of the denominator of the first x term.

x+18-6x = -18

move x terms to one side and numerical terms to the other, subtract 18 from both sides in this case

x+18-6x-18=-18-18

x-6x = -36

simplify

-5x = -36

divide both sides by -5 to isolate x

x = -36/-5

=36/5

3 0
3 years ago
Solve for the given variable 3(2x+5)=4x+21
Nookie1986 [14]

Answer:

x=3

Step-by-step explanation:

3(2x+5)=4x+21

6x+15=4x+21

-4x            -4x

2x+15= 21

     -15    -15

2x=6

2     2

<h2>x=3                          Hope that helped!!!!</h2>
6 0
3 years ago
What is the surface area of a prism of 5m, 4m, 5m, 7m, 6m
Anit [1.1K]
The surface area is 76m square
4 0
3 years ago
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Ivy’s father wanted to keep track of the gas he purchased for 3 weeks. He purchased 22.5 gallons during the first week and 19.71
wlad13 [49]
Total amount of gas purchased by Ivy's father in the first week = 22.5 gallons
total amount of gas purchased by Ivy's father in the second week = 19.71 gallons
Let us assume the amount of gas purchased by Ivy's father in the third week = x
The total quantity of gas purchased in 3 weeks by Ivy's father = 61.75 gallons
Then
22.5 + 19.71 + x = 61.75
42.21 + x = 61.75
x = 61.75 - 42.21
   = 19.54 gallons
So 19.54 gallons of gas was bought by Ivy's father in the third week
3 0
3 years ago
Read 2 more answers
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