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I am Lyosha [343]
3 years ago
5

What is the circumference of a circle with a diameter of 3.4 cm?

Mathematics
2 answers:
GaryK [48]3 years ago
6 0
The answer to the problem is 10.676
allochka39001 [22]3 years ago
5 0

Answer: 10.676 cm

Step-by-step explanation:

We know that ,

The circumference of a circle is given by :_

\text{Circumference}=\pi d , where d= diameter.

Given : Diameter of circle = 3.4 cm

Then Circumference of circle = (3.14)(3.4=10..676\text{ cm}

Hence, the circumference of a circle with a diameter of 3.4 cm is 10.676 cm.

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Solve the system of equations.
emmainna [20.7K]

x = \frac{ 419 }{ 113 } ~,~y = -\frac{ 208 }{ 113 } ~,~z = \frac{ 21 }{ 113 }

<h2>Explanation:</h2>

We have the following system of three linear equations:

\begin{array}{ cccc }2~ x&+~~4~ y&+~~32~ z&~=~6\\5~ x&+~~8~ y&+~~~~ z&~=~4\\4~ x&+~~5~ y&+~~2~ z&~=~6\end{array}

Let's use elimination method in order to get the solution of this system of equation, so let's solve this step by step.

Step 1: Multiply first equation by -5/2 and add the result to the second equation. So we get:

\begin{array}{ cccc }2~ x&+~~4~ y&+~~32~ z&~=~6\\&-~~~2~ y&-~~~79~ z&~=~-11\\4~ x&+~~5~ y&+~~2~ z&~=~6\end{array}

Step 2: Multiply first equation by −2 and add the result to the third equation. So we get:

\begin{array}{ cccc }2~ x&+~~4~ y&+~~32~ z&~=~6\\&-~~~2~ y&-~~~79~ z&~=~-11\\&-~~~3~ y&-~~~62~ z&~=~-6\end{array}

Step 3: Multiply second equation by −32 and add the result to the third equation. So we get:

\begin{array}{ cccc }2~ x&+~~4~ y&+~~32~ z&~=~6\\&-~~~2~ y&-~~~79~ z&~=~-11\\&&+~~\frac{ 113 }{ 2 }~ z&~=~\frac{ 21 }{ 2 }\end{array}

Step 4: solve for z.

\begin{aligned}       \frac{ 113 }{ 2 } ~ z & = \frac{ 21 }{ 2 } \\      z & = \frac{ 21 }{ 113 }       \end{aligned}

Step 5: solve for y.

\begin{aligned}-2y-79z &= -11\\-2y-79\cdot \frac{ 21 }{ 113 } &= -11\\y &= -\frac{ 208 }{ 113 } \end{aligned}

Step 6: solve for x by substituting y=-\frac{208}{113} and z = \frac{21}{113} into the first equation:

2x+4(-\frac{208}{113})+32(\frac{21}{113})=6 \\ \\ 2x-\frac{832}{113}+\frac{672}{113}=6 \\ \\ 2x=6+\frac{832}{113}-\frac{672}{113} \\ \\ 2x=\frac{838}{113} \\ \\ x=\frac{319}{113}

Finally:

x = \frac{ 419 }{ 113 } ~,~y = -\frac{ 208 }{ 113 } ~,~z = \frac{ 21 }{ 113 }

<h2>Learn more:</h2>

Solving System of Equations: brainly.com/question/13121177

#LearnWithBrainly

7 0
4 years ago
Figure A is a scale image of Figure B, as shown.
Inessa [10]

9514 1404 393

Answer:

  x = 2

Step-by-step explanation:

Using the scale factor, we have ...

  x/8 = 0.25/1

  x = 8(0.25) . . . . multiply by 8

  x = 2

_____

<em>Additional comment</em>

I like to write proportions with the variable in the numerator. That way they are easily solved by a single multiplication. The trick is to get corresponding parts in the same positions. Here, the fractions are written ...

  B/A = smaller part / larger part = x/8 = 0.25/1

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3 years ago
Solve the inequality
exis [7]
N<6  is the answer I think

3 0
3 years ago
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5C. Amanda pours 3/4 of her water into Barbara’s empty bottle. Barbara then pours 3/5 of her water into Charlie’s empty bottle.
arsen [322]

Answer:

20 ounces

Step-by-step explanation:

For this type of problem it is best to work backwards.

If David has 18, and Charlie gave him 1/2, then Charlie has 36 because 18x2=36. Barbara has 60, because 36/3= 12 and 5x12=60. Then, Amanda has 80 because 60/3=20 and 20x4= 80. But, we need to subtract 60 because the problem asks how many ounces of water does Amanda <em>still</em> have. So, 80- 60(The amount of water she gave to Barbara)=20.

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3 years ago
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What is the value of the underlined digit 24 the 2 is underlined?
zhannawk [14.2K]

Answer:

20

Step-by-step explanation:

ones= 1

tens= 10

Hundreds= 100

The difference between ones and tens is the 0. ones=1. tens=10

<u>2</u>4

The 2 is in the beginning so its the 10's place. The 4 is the second number so its in the ones place

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