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Zinaida [17]
4 years ago
8

N an election, everyone voted for either Cindy or Shawn. Cindy received 55% of the votes. Shawn received 423 votes.

Mathematics
1 answer:
enot [183]4 years ago
6 0
Let x be the amount of people
Since Cindy received 55% of votes,Shawn received(1-55%)=45% of votes
x ×45%=423
x=423÷0.45
=940
So there are total 940 people voted in the election
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A large washer has an outer radius of 10mm and a hole with a diameter of 14mm. What is the area of the top surface of the washer
choli [55]
<h2>Answer:</h2>

The area of the top surface of the washer is:  160.14 square mm.

<h2>Step-by-step explanation:</h2>

The top of the surface is in the shape of a annulus  with a outer radius of 10 mm and a inner radius of 7 mm ( since the diameter of the hole is: 14 mm and we know that the radius is half of the diameter)

Now, we know that the area of the annulus region is given by:

Area=\pi (R^2-r^2)

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Here we have:

R=10\ mm\\\\and\\\\r=7\ mm

Hence, we have:

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3 years ago
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nalin [4]
ANSWER


(5 - 2 {i}^{2} ) ^{2}  = 49


EXPLANATION


The given expression is


(5 - 2 {i}^{2} ) ^{2}


This is an expression containing a complex number.



Recall that in complex numbers,

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The expression now becomes,


(5 - 2 {i}^{2} ) ^{2}  = (5 - 2 ( - 1) ) ^{2}


This implies that,


(5 - 2 {i}^{2} ) ^{2}  = (5  + 2 ) ^{2}



This will simplify to,


(5 - 2 {i}^{2} ) ^{2}  =  {7}^{2}


This eventually gives us,



(5 - 2 {i}^{2} ) ^{2}  = 49

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