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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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Y=(3/5)x -3 and 5y =3x-10 these lines are and the second question?
azamat
Look at the first line:  y = (3/5)x - 3.  What happens if you multiply each term by 5, to eliminate the fraction?

5y = 3x - 3

Compare this to the second equation, 

5y - 3x = -10, or 5y = 3x - 10.

The coefficients of x and y (as 3 and 5 here) determine the slope of a straight line.  Since 5y = 3x is present in both equations, the two lines MUST be parallel.



y = 4
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4 0
3 years ago
Which expression represents the lateral surface area of the cone?
Setler [38]

Answer:

π(6 cm) (10 cm)

Step-by-step explanation:

As we know that

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l denotes the length i.e. 10 cm

So based on the above information

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Therefore the third option is correct

Hence, the same would be relevant

6 0
2 years ago
A sound wave travels through iron at a rate of 5120\,\dfrac{\text{m}}{\text{s}}5120 s m ​ 5120, start fraction, start text, m, e
klio [65]

Answer:

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Step-by-step explanation:

It is given that a sound wave travels through iron at a rate of 5120 m/s.

We know that

1 km = 1000 m

1 hour = 60 minutes

1 minutes = 60 second

Using these conversions we get

1 m = 0.001 km

1 hour  = 3600 second

5120\text{ m/s }=5120\times 0.001\times 3600\text{ km/h}

5120\text{ m/s }=18432\text{ km/h}

Therefore, the sound wave travels through iron at a rate of 18432 km/h.

6 0
3 years ago
Translate “4 less than five times a number is –11” into a mathematical equation.
hram777 [196]
4 less than five times a number is -11:
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8 0
3 years ago
APT4PTO
inysia [295]

Answer:

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Step-by-step explanation:

In units of 5 feet, the backdrop is 3 units wide and 2 units high, for a total area of 3×2 = 6 square units.

Those same units on the scale drawing are each 16 inches. One square unit on the scale drawing is (16 in)² = 256 in². So, 6 of them have an area of ...

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6 0
3 years ago
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