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Bond [772]
3 years ago
9

What is the approximate distance around the half circle with radius 12 centimeters?

Mathematics
1 answer:
Katarina [22]3 years ago
4 0
You can find the perimeter of a circle by using the radius.
circumference = 2 \pi r
Circumference = 2 \pi x 12
circumference = 24 pi
Since you are only trying to find half of the circle you would divide your answer by 2 

24pi / 2 = 12 pi

12 pi = 37.68

The answer is B. 37.7
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Joe can cut and split a cord of firewood in 3 fewer hours than Dwight can. When they work​ together, it takes them 2 hours. How
aalyn [17]

Answer:

Dwight will take 6 hours to finish the job alone and Joe will take 3 hours to finish the job alone.

Step-by-step explanation:

Let us assume the time taken by Dwight to split a cord of firewood  = K hrs

So, the per hour rate of Dwight  = (\frac{1}{K})

As, Joe uses 3 LESS hours then Dwight.

So, the time taken by Joe to split a cord of firewood  = (K- 3) hrs

So, the per hour rate of Joe  = (\frac{1}{K-3})

Now, when both of them wok together, it takes them 2 hours.

So, the per hour rate of BOTH of them  = (\frac{1}{2})

⇒ Per hour rate of ( Dwight  + Joe)  =(\frac{1}{2} )

\implies (\frac{1}{K}) +  (\frac{1}{K-3}) = (\frac{1}{2})

Now, solving for the value of K , we get:

(\frac{1}{K}) +  (\frac{1}{K-3}) = (\frac{1}{2})\\\implies  \frac{(K-3) + K}{K (K-3)}  = (\frac{1}{2})\\\implies 2(2K -3) = K^2 - 3K\\\implies k^2 - 3K -4K +6 = 0\\\implies K^2 - 7K  + 6=  0\\\implies K^2 - 6K - K  + 6=  0\\\implies K(K-6) -1(K - 6)=  0\\\implies (K-6)(K-1) = 0

Implies either K = 6 Or K = 1

But if K = 1, (K-3)  = 1- 3  = -2 hours would be A CONTRADICTION.

⇒ K  = 6 hours

Hence, Dwight will take 6 hours to finish the job alone and Joe will take (k-3) = (6-3) = 3 hours to finish the job alone.

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3 years ago
What is the measure of
snow_tiger [21]
3x=90 2x=50
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2 years ago
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prohojiy [21]

Answer:

45 to 18 it's easy

Step-by-step explanation:

subtract 18 from 63 and there is your ratio

3 0
3 years ago
Can someone please help me with number 2 please I’ll love you forever ;)
yawa3891 [41]

Step-by-step explanation:

the first question

x²+x+5

when x is -4

(-4)²+(-4)+5

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7 0
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Joe has saved $50. He wants to
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Answer: Yes, because he will be spending a total of $39 dollars.

Step-by-step explanation

$13 + $13 + $13 = $39

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