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r-ruslan [8.4K]
3 years ago
6

Convert -3pi/10 to degrees

Mathematics
1 answer:
ipn [44]3 years ago
5 0

we know there are 180° in π radians, how many degrees then in -3π/10 radians?

\bf \begin{array}{ccll} degrees&radians\\ \cline{1-2} 180&\pi \\\\ x&-\frac{3\pi }{10} \end{array}\implies \cfrac{180}{x}=\cfrac{\pi }{~~-\frac{3\pi }{10}~~}\implies \cfrac{180}{x}=\cfrac{\frac{\pi}{1} }{~~-\frac{3\pi }{10}~~} \\\\\\ \cfrac{180}{x}=\cfrac{\pi }{1}\cdot \cfrac{10}{-3\pi }\implies \cfrac{180}{x}=-\cfrac{10}{3}\implies 540=-10x\implies \cfrac{540}{-10}=x \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill -54=x~\hfill

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Answer:

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1)(a+b)-5(c+a)

=(5+10)-5(15+5)

=(15)-5(20)

=15-5(20)

=10(20)

=200

2)(10×15)10(5×2)

=150×10×10

=15000

3)(a-b)+(a+b)

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=(2×5×10-45)+5

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2 years ago
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Firdavs [7]

Answer:

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Step-by-step explanation:

Two quantities P and Q are said to be in PROPORTION if and only if for all values of P and q, we get:

\frac{P}{Q}  = k

Here, k : PROPORTIONALITY CONSTANT

Case: 1

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So, the piano practice in 2 weeks( 1 x 2) =   2 x  5 = 10 hours

But here, it is given to be 12 hours in 2 weeks.

Hence, NOT PROPORTIONAL.

Case 2:

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So, the words typed in 210 seconds ( 60 x 3.5) =   70  x  3.5 = 240 words

But here, it is given to be 280 words in 210 seconds.

Hence, NOT PROPORTIONAL.

Case: 3

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So, the homework done in 2 weeks( 1 x 2) =   2 x 8 = 16 hours

It is given to be 16 hours in 2 weeks.

Hence,  PROPORTIONAL.

Case: 4

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So, the distance covered in 102 minutes (78 x 1.3) =  15 x 1.3 = 19.6 miles

But here, it is given to be 17 miles in 102 minutes.

Hence, NOT PROPORTIONAL.

Case: 5

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So, the distance covered in 55 minutes (45 x 1.2) =  18 x 1.2  = 21.6 miles

But here, it is given to be 22 miles in 55 minutes.

Hence, NOT PROPORTIONAL.

Hence, the only proportional case is Emma spend 8 hours in homework in a  week and Jared  spends 16 hours in homework in 2 weeks.

6 0
3 years ago
Read 2 more answers
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antoniya [11.8K]

Answer:

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Step-by-step explanation:

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2 years ago
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laila [671]

Answer:

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Step-by-step explanation:

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7 0
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