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Talja [164]
3 years ago
15

Part:a m+n can be? What

Mathematics
1 answer:
Gnoma [55]3 years ago
5 0

Answer: (a2)3 = a2 x 3

Step-by-step explanation:

Maybe

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How can I prove Euler's formula graphically?
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1. Find the length of a rectangular lot with a perimeter of 124 feet if the length is two more than twice the width.
sp2606 [1]
ANSWER TO QUESTION 1


Let the width be
w
units.



Twice the width will be

2w

Two more than twice the width will be

2w + 2



We were told that the length is 2 more than twice the width. This means that,

l = 2w + 2


This implies that,

w =  \frac{l - 2}{2}  -  - eqn(1)


The formula for finding the perimeter of a rectangle is given by:


perimeter = 2w + 2l -  - eqn(2)




We substitute 124 for the perimeter and equation (1) into equation (2)



124 = 2( \frac{l - 2}{2} ) + 2l


This implies that,

124 = l - 2 + 2l

\Rightarrow 124 + 2 = l + 2l



\Rightarrow 126 = 3l




We divide both sides by 3 to obtain,


l = 42

Therefore the length is 42 feet.





ANSWER TO QUESTION 2


Let the width be
w


units.


Five more than the width will be


w + 5


We were told that the length is 5 more than the width. This means that,


l = w + 5


We make w the subject to obtain,


w = l - 5 -  - eqn(1)



The perimeter is given by,

perimeter = 2w + 2l -  - eqn(2)

We substitute 50 for the perimeter and equation (1) into equation (2)


50 = 2(l - 5)  + 2l

Dividing through by 2 gives,


25 = l - 5 + l



\Rightarrow 25 + 5 = l + l



\Rightarrow 30 = 2l


We divide both sides by 2 to get,

l = 15


Therefore the length is 15 feet.
7 0
4 years ago
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