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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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Timothy is filling fish bowls with pebbles at his fish store. He wants to have $\frac{1}{6}$ of a pound of pebbles in each fish
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14

Step-by-step explanation:

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Each fish bowl to have pebbles of weight equivalent to = \frac{1}{6}

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First of all, we need to convert mixed fraction into a fractional number and then we also need to see division of two fractions.

Formula:

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Now, the given mixed fraction can be converted to fractional number as:

2\dfrac{1}{3} = \dfrac{2\times 3+1}{3} = \dfrac{7}{3}

Now, To find the total number of fish bowls that can be filled, we need to divide the total number of pounds with number of pounds of pebbles in each fish bowl.

So, the answer is:

\dfrac{\frac{7}{3}}{\frac{1}{6}}\\\Rightarrow \dfrac{7\times 6}{3\times 1}\\\Rightarrow \dfrac{42}{3}\\\Rightarrow \bold{14}

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3 0
3 years ago
Which of the following equations represents the line that is graphed on the coordinate grid below
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going from the left point to the right point x changes by +3 units, and y changes by -1 unit.

so, the slope (and factor of x in the equation) is -1/3.

and the constant term in the equation is the y (axis) intercept of the line.

this is the y value, when x = 0 (intercepting the y axis).

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7 0
2 years ago
"A laboratory tested 73 chicken eggs and found that the mean amount of cholesterol was 230 milligrams with LaTeX: \sigmaσ = 17.4
Scrat [10]

Answer:

The 95% confidence interval for the true mean cholesterol content, μ, of all such eggs is between 226.01 and 233.99 milligrams.

Step-by-step explanation:

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The upper end of the interval is the sample mean added to M. So it is 230 + 3.99 = 233.99.

The 95% confidence interval for the true mean cholesterol content, μ, of all such eggs is between 226.01 and 233.99 milligrams.

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