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Alona [7]
2 years ago
7

A circle is centered at $O$ and has an area of $48 \pi.$ Let $Q$ and $R$ be points on the circle, and let $P$ be the circumcente

r of triangle $QRO.$ If $P$ is contained in triangle $QRO,$ and triangle $PQR$ is equilateral, then find the area of triangle $PQR.$ Will give brainlyist!
Mathematics
1 answer:
ki77a [65]2 years ago
5 0

The area of the Triangle PQR which is in the circle,  is given as 784.25. See the computation below.

<h3>What is a circle?</h3>

Mathematically speaking, a circle is a 2-dimensional shape whose boundaries are round and are equidistant from a fixed center.

<h3>What is calculation of the answer given above?</h3>

The area of ΔPQR is given as ((√3)/4) x QR²

= (√3)/4) x (6√2 - 2√6)²

= 0.43301270189 x  (8.48528137424 x 4.89897948557)²

=  0.43301270189 x 1728

Area of ΔPQR = 784.25

Learn more about circles at:
brainly.com/question/24375372
#]SPJ1

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Find the greatest common factor of both numbers:

Factors for 150:

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The largest number they both have in common is 30, so the largest tile could be 30 cm^2.

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95% of red lights last between 2.5 and 3.5 minutes.

<u>Step-by-step explanation:</u>

In this case,

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Assume the bell shaped graph of normal distribution,

The center of the graph is mean which is 3 minutes.

We move one space to the right side of mean ⇒ M + SD

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Again we move one more space to the right of mean ⇒ M + 2SD

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Similarly,

Move one space to the left side of mean ⇒ M - SD

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Again we move one more space to the left of mean ⇒ M - 2SD

⇒ 3 - (0.25×2) =2.5 minutes.

The questions asks to approximately what percent of red lights last between 2.5 and 3.5 minutes.

Notice 2.5 and 3.5 fall within 2 standard deviations, and that 95% of the data is within 2 standard deviations. (Refer to bell-shaped graph)

Therefore, the percent of  red lights that last between 2.5 and 3.5 minutes is 95%

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