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3 years ago

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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Step-by-step explanation:

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3 years ago

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3 years ago

Read 2 more answers

Davis is building a wooden bench. He has 2 3/5feet of lumber in his garage and buys 8 1/2feet of lumber at the store. How many t

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Answer:

Below.

Step-by-step explanation:

2 3/5 + 8 1/2

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= 10 + 3/5 + 1/2

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10 + 6/10 + 5/10

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3 years ago

What is the formula for the nth term of the given sequence? -17, -8, 1

Citrus2011 [14]

Answer:

The $n^{th}$ term of A.P sequence

tₙ = 9 n - 26

Step-by-step explanation:

Step(i):-

Given sequence

- 17 , -8 , 1 .......

first term = -17

Second term = - 8

The difference of first two terms

d = - 8 -(-17) = -8+17 = 9

The difference of next two terms

d = 1 - (-8) = 1+8 = 9

∴ The given sequence is in A.P ( Arthimetic progression)

Step(ii):-

The $n^{th}$ term of A.P sequence

$t_{n} = a + ( n-1 ) d$

Given a = - 17 and d = 9

$t_{n} = -17 + ( n-1 ) 9 = - 17 + 9 n -9 = 9 n - 26$

Final answer:-

The $n^{th}$ term of A.P sequence

tₙ = 9 n - 26

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2 years ago