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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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8 0
3 years ago
A circular donut had a radius of 7 feet. What is the area?
alex41 [277]

Answer:

≈ 153.86

Step-by-step explanation:

Area of a circle's formula is: A = πr² π in this would be approximately 3.14

using this formula and the given radius, we can plug it into the formula

A = (3.14)(7)² --> A= (3.14)(49) ≈ 153.86

6 0
3 years ago
Find value of each variable.​
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3 years ago
Solve for X, Round to the nearest 10th of a degree if necessary 43 87
snow_tiger [21]

Answer:

x° ≈ 60.4

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

<u>Trigonometry</u>

  • [Right Triangles Only] SOHCAHTOA
  • [Right Triangles Only] cosθ = adjacent over hypotenuse
  • Inverse Trig

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

Angle θ = <em>x</em>°

Adjacent Leg = 43

Hypotenuse = 87

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute in variables [cosine]:                                                                       cos(x°) = 43/87
  2. Inverse Trig:                                                                                                      x° = cos⁻¹(43/87)
  3. Evaluate:                                                                                                           x° = 60.3795
  4. Round:                                                                                                                x° ≈ 60.4
3 0
2 years ago
Randomly pick a positive integer with exactly four decimal digits, that is, a positive integer between 1000 and 9999 inclusive.
Juliette [100K]

Answer:

a)0.1714 b)0.504 c)0.5 d)0.2

Step-by-step explanation:

Total numbers between 1000 and 9999 (both inclusive)= 9000.

Probability=\frac{No.OfFavourableOutcomes}{TotalNo.OfOutcomes}

a) Divisible by 5 and not by 7 means, that the number is divisible by 5 but not by 35.

Total numbers between 1000 and 9999 divisible by 5= 1800

Total numbers between 1000 and 9999 divisible by 35=257

Total numbers between 1000 and 9999 divisible by 5 but not by 35=         1800 - 257= 1543

Probability=\frac{1543}{9000}=0.1714

b) Finding the number of numbers with distinct digits,

We can find this by the method that how many digits can be placed in each place,

In the thousands place=9( 0 cannot be placed)

In the hundreds place=9( The digit inserted in the thousands place, cannot be put but 0 can be put now)

In the tens place=8( Numbers placed in hundreds and thousands place cannot be put)

In the ones place=7(The rest 3 numbers can't be put)

Total Favorable Outcomes=9 x 9 x 8 x 7 =4536

Probability=\frac{4536}{9000}=\frac{63}{125}=0.504

c) Total number of even numbers between 1000 and 9999= 4500

Probability=\frac{4500}{9000}=\frac{1}{2}=0.5

d) Total numbers between 1000 and 9999 divisible by 5= 1800

Probability= \frac{1800}{9000}=\frac{1}{5}=0.2

4 0
3 years ago
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