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sineoko [7]
3 years ago
12

What is the length of RS.

Mathematics
1 answer:
Natali [406]3 years ago
5 0

Consider, in ΔRPQ,

RP = R (Radius of larger circle)

PQ = r (radius of smaller circle)

We have to find, RQ, by Pythagoras theorem,

RP² = PQ²+RQ²

R² = r²+RQ²

RQ² = R²-r²

RQ = √(R²-r²

Now, as RQ & QS both are tangents of the smaller circle, their lengths must be equal. so, RS = 2 × RQ

RS = 2√(R²-r²)

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Solve this system of equations by
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Answer: x = 12 and y = -8

Explanation:
x + y = 4
4x + 3y = 24
———————
-3(x + y = 4)
4x + 3y = 24
———————-
-3x - 3y = -12
4x + 3y = 24
———————
x = 12

If x = 12
x + y = 4
12 + y = 4
y = -8
6 0
2 years ago
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How did the Romanov dynasty increase Russia's power?
Degger [83]

Answer:

Step-by-step explanation:

  1. The Romanov Dynasty (1613 to 1917) was the last imperial dynasty to rule Russia. During the Romanov reign Russia became and remained a major European power.
  2. The Romanovs share their origins with a handful of other Russian noble families. One of the ancestors of the world-renowned dynasty was Andrey Kobyla – a boyar who lived during the middle of the 14th century. Kobyla was documented in contemporary chronicles only once, in 1347, when he was said to have been sent to Tver with the purpose of meeting the daughter of Alexander I of Tver. Later generations assigned other more illustrious pedigrees to Kobyla, however, they are highly unlikely to be true.
  3. An 18th century genealogy chart even claimed that Kobyla was the son of the Prussian prince Glanda Kambila, who came to Russia in the second half of the 13th century, fleeing the invading Germans. Indeed, one of the leaders of the Prussian rebellion of 1260-1274 against the Teutonic order was named Glande, but the theory acquired no further proof.
  4. In another theory, which is more likely to be true even though it is less complementing, Kobyla's origins were not that spectacular – his relatives were nicknamed after horses and other house animals (“kobyla” means “mare” in Russian), thus suggesting his descent from one of the royal equerries.
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  6. The Romanov Dynasty began with the election of Mikhail Romanov, a 16-year-old boyar, by the Zemsky Sobor, or Assembly of the Land – the first Russian parliament of the feudal estates type.
  7. Initially, Mikhail’s mother protested against the election of such a young and inexperienced man, but the boyars assured her that Mikhail would be held responsible to God for the destruction of Russia and other mortal sins if he persisted in his refusal to accept the title.
  8. When young Mikhail learned he was about to be granted the highest title anyone could dream of in Russia, he burst into tears of fear and despair. He was finally persuaded to accept the throne by his mother who saw no way out, so she blessed the young man who had to obey. Mikhail Romanov was crowned on 22 July 1613.
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3 0
3 years ago
Cual es la forma más simple al efectuar la operación indicada en la expresión (-3) (-12) ?
GaryK [48]

Answer:

Cual es la forma más simple al efectuar la operación indicada en la expresión (-3) (-12) ?  this means What is the simplest way to perform the operation indicated in the expression (-3) (-12)?

Step-by-step explanation:

Multiply -3 by -12 and get 36. hope this was helpful.

7 0
3 years ago
1/8 times square root of eight =
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Answer:

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Step-by-step explanation:

8 0
3 years ago
Which ratios are equivalent to 10:16? Check all that apply. 30 to 48 25:35 StartFraction 40 Over 64 EndFraction 8:32 5 to 15
schepotkina [342]

Answer:

30 to 48, 40/64

Step-by-step explanation:

Which ratios are equivalent to 10:16, and they gave us 30 to 48, 25:35, 40/64, 8/32 and 5 to 15.

For 30 to 48, we can mulitply the 10:16 by 3 to give us 30:48, so it is <u>equal</u>.

For 25:35, we simplify it to 5:7, while 10:16 is 5:8, so they are <u>not equal</u>.

For 40/64, we can take 10:16 and multiply them by 4, getting the same number. Therefore, it is <u>equal</u>.

For 8/32, we can simplify it down to 1/4, while 10:16 simplifies down to 5:8, it is  <u>not equal</u>.

Lastly, for 5 to 15, w can simplify that to 1/3, and get 5:8 for 10:16, so it <u>won't be equal.</u>

4 0
3 years ago
Read 2 more answers
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