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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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Explain why 4 x 2/5 is the same operation as 2/5 + 2/5 +2/5 + 2/5
wlad13 [49]

Answer:

Step-by-step explanation: Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(8, 5)=1. In the next intermediate step the fraction result cannot be further simplified by cancelling. In words - four multiplied by two fifths=eight fifths.

5 0
3 years ago
A local mattress manufacturer wants to know if its manufacturing process is in or out of control and has hired you, a statistics
balandron [24]

Answer:

a. 95.4

b. UCL = 96.07

LCL = 94.73

c.  Process is in control

Step-by-step explanation:

a. The computation of estimate mean is shown below:-

Estimate\ mean = \frac{\Sigma X}{N} \\\\ = \frac{1908.000}{20}

= 95.4

b. The computation of Upper Control Limit (UCL) and the Lower Control Limit (LCL) for the manufacturing process is shown below:-

UCL = Mean + \frac{3\times \sigma }{\sqrt{Sample\ size} }

UCL = 95.4 + \frac{3\times (0.5)}{\sqrt{0.5} }

= 95.4 + 0.67082

= 96.07

UCL = Mean - \frac{3\times \sigma }{\sqrt{Sample\ size} }

UCL = 95.4 - \frac{3\times (0.5)}{\sqrt{0.5} }

= 95.4 - 0.67082

= 94.73

c. The explanation is shown below:-

From the above calculation we can see that the sample lies between LCL AND UCL that is (94.73 ,96.07) ,  

The Process is in control

7 0
3 years ago
5(2+4(3)+-5+-2(7)Evaluate the expression
Andru [333]

Answer:

-25

Step-by-step explanation:

7 0
3 years ago
How do you write 5.6 as a mixed number as a decimal?
Mama L [17]
5.6 in a fraction is 5 and 6/10, or 5 3/5. To get the mixed fraction, multiply the whole number (to the left) by the denominator (bottom of fraction), and add to the numerator (top of fraction). So 5 × 5 = 25 + 3 = 28. So it'd be 28/5.
4 0
3 years ago
5 (x + 2) = 3 (x + 8)
aleksley [76]
So first you distribute the 5 to the x and the +2 and get
5x+10=3(x+8)
 then you distribute the 3 to the other x and the +8 and get
5x+10=3x+24
subtract 3x from both sides
2x+10=24
subtract 10 from both sides and get
2x=14
divide both sides by 2 and get
x=7
8 0
3 years ago
Read 2 more answers
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