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Alekssandra [29.7K]
3 years ago
15

HELP PLEASE and show work

Mathematics
1 answer:
larisa86 [58]3 years ago
3 0

Answer:

\boxed{\stackrel{\Large\frown}{PQS}\:= 222°}

Explanation:

Since \overline{PR} is a diameter, arc \stackrel{\Large\frown}{PQR}\:= 180°.

Given that \angle{SUR} = 42° is a subtended central angle by two diameters,

\stackrel{\large\frown}{RS} \:= 42°.

Using the rule of arcs, \stackrel{\Large\frown}{PQR} + \stackrel{\large\frown}{RS} \: = \: \stackrel{\Large\frown}{PQS} →

180° + \: 42° = \: \stackrel{\Large\frown}{PQS}

222° = \: \stackrel{\Large\frown}{PQS}

\stackrel{\Large\frown}{PQS} \: = \: 222°

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What is the equivalent decimal to this fraction? 10/45 0.2 0.222222222... 0.232323232323... 0.181818181818...​
Ivan

Factorize the numerator and denominator, then simplify:

10/45 = (2×5)/(9×5) = 2/9

Now,

1/9 = 1/10 + 1/90

1/90 = 1/10 × 1/9 = 1/10 × (1/10 + 1/90) = 1/100 + 1/900

1/900 = 1/100 × 1/9 = 1/100 × (1/10 + 1/90) = 1/1000 + 1/9000

and so on, which is to say

1/9 = 1/10 + 1/100 + 1/1000 + …

or

1/9 = 0.111…

so that multiplying both sides by 2 gives

2/9 = 0.222…

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2 years ago
What is the ratio of 18 wolverines to 18 black bears? <br> HELP
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Answer:

18:18

Step-by-step explanation:

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Find f(-4) if f(x) = -3x+5
Andreyy89
The answer 17 and I agree with her or him
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3 years ago
Which geometric figure has the greatest perimeter?
Fofino [41]

Answer:

Triangle has the greatest perimeter

Step-by-step explanation:

Triangle:

2\sqrt{48}=2\sqrt{2*2*2*2*3}=2*2*2\sqrt{3}=8\sqrt{3}\\\\\\3\sqrt{75}=3*\sqrt{3*5*5}=3*5*\sqrt{3}=15\sqrt{3}\\\\\\6\sqrt{12}=6*\sqrt{2*2*3}=6*2*\sqrt{3}=12\sqrt{3}\\\\\\2\sqrt{108}=2*\sqrt{2*2*3*3*3}=2*2*3*\sqrt{3}=12\sqrt{3}\\\\\\3\sqrt{147}=3*\sqrt{3*7*7}=3*7\sqrt{3}=21\sqrt{3}\\\\Perimeter=3\sqrt{147}+2\sqrt{108}+6\sqrt{12}+2\sqrt{48}+3\sqrt{75}\\\\  =21\sqrt{3}+12\sqrt{3}+12\sqrt{3}+8\sqrt{3}+15\sqrt{3}\\\\=(21+12+12+8+15)\sqrt{3}\\\\=68\sqrt{3}\\

= 68 * 1.732 = 117.78

Square:

\frac{1}{3}\sqrt{63}=\frac{1}{3}\sqrt{3*3*7}=\frac{1}{3}*3*\sqrt{7}=\sqrt{7}\\\\Perimeter=4*side=4*\sqrt{7}=4\sqrt{7} = 4* 2.6458 = 10.58

Rectangle:

\frac{1}{4}\sqrt{100}=\frac{1}{4}\sqrt{10*10}=\frac{1}{4}*10=\frac{5}{2}\\\\\\Perimeter=\frac{1}{4}\sqrt{100}+2\sqrt{48}+4\sqrt{75}+\frac{1}{4}\sqrt{100}+2\sqrt{48}+4\sqrt{75}\\\\=\frac{5}{2}+8\sqrt{3}+20\sqrt{3}+\frac{5}{2}+8\sqrt{3}+20\sqrt{3}\\\\=\frac{5+5}{2}+(8+8+20+20)\sqrt{3}  \\\\=\frac{10}{2}+56\sqrt{3}+\\\\=5+56\sqrt{3}\\\\=5+56*1.732=5+96.99=102

8 0
3 years ago
Sherry needs to have at least $1600 in her bank account at the end this month. She works at a restaurant where she earns $18 an
o-na [289]

Answer: 100 hours

Step-by-step explanation:

She has to get a total of 1800 dollars. Since she works 18 dollars an hour, divide 1800 and 18.

1800/18 = 100 hours

3 0
3 years ago
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