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Scorpion4ik [409]
2 years ago
10

Point p is the center of two concentric circle pq =2.5 and ps= 5 RS is tangent to the smaller circle and a chord of the larger c

ircle what is length of RS to the nearest tenth

Mathematics
2 answers:
lukranit [14]2 years ago
7 0

The answer is 8.7

..............................

konstantin123 [22]2 years ago
5 0

Here Q and S are the points on smaller and larger circles respectively and P is the center of both circles.

Given that, radius of smaller circle, PQ= 2.5

and radius of larger circle, PS= 5

RS is a chord of the larger circle and tangent to the smaller circle at point Q.

That's why, ∠PQS will be 90° and the ΔPQS is a right angle triangle.

For ΔPQS, we will use Pythagorean Theorem, according to this theorem here:

(PS)² = (PQ)² + (QS)²

⇒ (5)² = (2.5)² + (QS)² [By plugging PS= 5 and PQ= 2.5]

⇒ 25 = 6.25 + (QS)²

⇒ 18.75 = (QS)² [Subtracting 6.25 from both sides]

⇒ QS = √18.75

⇒ QS = 4.3301

Here Q is the midpoint of the cord RS, so RQ= QS

That means, RS = 2× QS

= 2× 4.3301

= 8.6602

= 8.7 [Rounding to the nearest tenth]

So, the length of RS to the nearest tenth is 8.7

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2 years ago
Imagine each letter of the word ""mathematical"" is written on individual pieces of paper and placed in a bag. Should you pick a
Aleksandr-060686 [28]

Answer:

The question has a missing part and here it the complete question:

Imagine each letter of the word “Mathematical” is written on individual pieces of paper and placed in a bag. Should you pick a random letter from that bag, what is the probability that you pick a vowel?

Answer: 5/12

Step-by-step explanation:

The question asks for the probability of picking a vowel.

From the word 'Mathematical', we have a total of 12 letters and a total of 5 vowels (a,e,a,i,a).

Probability of picking a vowel = Total number of times the event(vowel) occurs/total number of possible outcomes(total letters)

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3 years ago
Could I possibly get help with this?
ad-work [718]

Answer:

? = 74.64111442

Step-by-step explanation:

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       =\frac{1}{28}

        *27

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sin^{-1}(27/28)

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