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son4ous [18]
3 years ago
5

Find the area of the composite shape

Mathematics
1 answer:
yaroslaw [1]3 years ago
8 0

Step-by-step explanation:

Area of rectangle

l × b

12 × 6

= 72

area of actual figure

72-2×2

=68ft.

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Slav-nsk [51]

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66

Step-by-step explanation:

71+43=114

180-114=66

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2 years ago
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mr_godi [17]

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Step-by-step explanation:

7 0
3 years ago
3(7 + x) verbal expression
Basile [38]

Answer:

21+3x

Step-by-step explanation:

multiply the 3 by everything inside the parentheses

4 0
2 years ago
What is the sum of the first 11 terms of the arithmetic series in which a1= -12 and d=5?
SVEN [57.7K]
Hello :  
the terme general is : an = a1 +(n-1)d
 a11 = a1+(11-1)×5
a11 = -12+50
a11 = 38
<span>the sum of the first 11 terms is : S11 = (11/2)(a1+a11)
</span>S11 = (11/2)(-12+38)
S11 = 143
3 0
3 years ago
PLEASE HELP ME I NEED HELP ASAP!!!! PLEASE HELP ON A AND B
valina [46]

Answer:

<h2>a) x = 16 and y = 6</h2><h2>b) P = 864 in</h2>

Step-by-step explanation:

a)

The opposite sides of the rectangle are of equal length.

Therefore we have the system of equations:

\left\{\begin{array}{ccc}3y=2+x&\text{subtract 2 from both sides}\\3x=2+x+5y&\text{subtract x from both sides}\end{array}\right\\\\\left\{\begin{array}{ccc}3y-2=x&(*)\\2x=2+5y&(**)\end{array}\right

Substitute from (*) to (**):

2(3y-2)=2+5y\qquad\text{use distributive property}\\\\(2)(3y)+(2)(-2)=2+5y\\\\6y-4=2+5y\qquad\text{add 4 to both sides}\\\\6y=6+5y\qquad\text{subtract 5y from both sides}\\\\\boxed{y=6}

Put the value of y to (*):

x=3(6)-2\\\\x=18-2\\\\\boxed{x=16}

b)

Calculate the width and the length:

3x = 3(16) = 48\\\\3y = 3(6) = 18

The perimeter:

P = 2w + 2l\\\\P = (48)(18)=864\ in

8 0
3 years ago
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