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Talja [164]
3 years ago
12

What is the area of a sector with a central angle of 3pi/5 radians and a diameter of 21.2cm

Mathematics
1 answer:
Elenna [48]3 years ago
8 0
Answer: 105.84 cm^2

To find the answer, first you have to start by finding the percent of the circle in the sector. Convert the radians given to 108 degrees. 108 out of 360 is 30%. 

Now, find the area of the circle. It's pi x r^2, so the area is 352.810.

Multiply this by 30% to find our area of 105.84 cm^2
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The circumference of the earth is 2.4x109 miles. if you traveled at an average of 8.5x10 miles per hour, how long would it take
pshichka [43]

Answer:

282 hr   <======= see below

Step-by-step explanation:

Distance / rate = time

2.4 x 10^9 mi / 85 m/hr   = 28235294 hr

 You must have left the power of 10 off of your speed

     probably should be   8.5 x 10^6  perhaps?   then answer is 282

<h3>If speed was 8.5 x 10^5   then answer becomes ~ 2820   </h3>
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2 years ago
Use the following matrices, A, B, C and D to perform each operation.
Vinvika [58]

Step-by-step explanation:

A=\left[\begin{array}{ccc}3&1\\5&7\end{array}\right]

B=\left[\begin{array}{ccc}4&1\\6&0\end{array}\right]

C=\left[\begin{array}{ccc}-2&3&1\\-1&0&4\end{array}\right]

D=\left[\begin{array}{ccc}-2&3&4\\0&-2&1\\3&4&-1\end{array}\right]

1.\\A+B=\left[\begin{array}{ccc}3&1\\5&7\end{array}\right]+\left[\begin{array}{ccc}4&1\\6&0\end{array}\right]=\left[\begin{array}{ccc}3+4&1+1\\5+6&7+0\end{array}\right]=\left[\begin{array}{ccc}7&2\\11&7\end{array}\right]

2.\\B-A=\left[\begin{array}{ccc}4&1\\6&0\end{array}\right]-\left[\begin{array}{ccc}3&1\\5&7\end{array}\right]=\left[\begin{array}{ccc}4-3&1-1\\6-5&0-7\end{array}\right]=\left[\begin{array}{ccc}1&0\\1&-7\end{array}\right]

3.\\3C=3\left[\begin{array}{ccc}-2&3&1\\-1&0&4\end{array}\right]=\left[\begin{array}{ccc}(3)(-2)&(3)(3)&(3)(1)\\(3)(-1)&(3)(0)&(3)(4)\end{array}\right]=\left[\begin{array}{ccc}-6&9&3\\-3&0&12\end{array}\right]

4.\\C\cdot D=\left[\begin{array}{ccc}-2&3&1\\-1&0&4\end{array}\right]\cdot\left[\begin{array}{ccc}-2&3&4\\0&-2&1\\3&4&-1\end{array}\right]\\\\=\left[\begin{array}{ccc}(-2)(-2)+(3)(0)+(1)(3)&(-2)(3)+(3)(-2)+(1)(4)&(-2)(4)+(3)(1)+(1)(-1)\\(-1)(-2)+(0)(0)+(4)(3)&(-1)(3)+(0)(-2)+(4)(4)&(-1)(4)+(0)(1)+(4)(-1)\end{array}\right]\\=\left[\begin{array}{ccc}7&-8&-6\\14&13&-8\end{array}\right]

5.\\2D+3C\\\text{This operation can't be performed because the matrices}\\\text{ are of different dimensions.}

6 0
3 years ago
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Answer:

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7 0
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52% of ______ days is 13 days.
abruzzese [7]
'of' in mathematics means multiplication
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52% * x = 13

52/100 * x = 13

0.52x = 13

x = 13/0.52

x = 25

52% of 25 days is 13 days.

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Nadusha1986 [10]

Answer:

9) x = 6,4

10) R = -3,-4

Step-by-step explanation:

Hope this helps dude

6 0
3 years ago
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