1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Shkiper50 [21]
3 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 $PQR.$
Mathematics
1 answer:
nikklg [1K]3 years ago
7 0

Answer:

Area of Triangle QRP = 3\sqrt{3}

Step-by-step explanation:

According to Question , We have a circle With Centre 'O' & Area 48\pi .

Area Of Circle = 48\pi

\pir^{2} = 48\pi

r = \sqrt{48}

Now We Have Two Points Given On Circle Q & R , P Is Circumcentre Of Triangle QRO .

Thus A Circle Can Also Be Formed with Centre P . ( See attachment For Diagram )

Now The Diameter of Circle With Centre P = Radius Of Circle with Centre O

so Radius Of Circle With Centre P(r_{2}) = \frac{\sqrt{48}}{2}

Now We Have To Find Area Of Equilateral Triangle .

A = \frac{\sqrt{3}}{4} r_{2} ^{2}

A= \frac{\sqrt{3} }{4} * \frac{\sqrt{48} }{2}*\frac{\sqrt{48} }{2}

The Area Of PQR is = 3\sqrt{3}

For Diagram , Please Find In Attachment

You might be interested in
74.88 x 8 rounded to the nearest cent
mafiozo [28]

Answer:

74.88*8=599.04

Correct answer is 599

Step-by-step explanation:

This would be the answer with cents.

But you have to round to the nearest whole number which would be 599

Hope this helps mark brainliest please :)

8 0
2 years ago
A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 20% real fruit juice and Drink
Setler [38]

Answer:

There needs to be 300 liters of Drink A and 270 liters of Drink B

Step-by-step explanation:

Let a = the amount of Drink A and b = the amount of Drink B

Multiplying a number by 0.2 is the same as calculating 20% of it and same goes with 15% and 0.15. This makes our equation for the amount of fruit juice:

0.2a + 0.15b = 100.5

We know what the difference between a and b will be 30 liters so:

a - b = 30

Now we have our system of equations

To cancel out a, we can multiply the first equation by -5 so we will now have:

-a - 0.75b = -502.5

a - b = 30

Adding these two equations together, we get:

-1.75b = -472.5

Both sides are negative, so we can take the negative signs away.

1.75b = 472.5

Now divide both sides by 1.75

b = 270

Plugging 270 into b, we have:

a - b = 30

a - 270 = 30

Add 270 to both sides

a = 300

There needs to be 300 liters of Drink A and 270 liters of Drink B

7 0
3 years ago
Read 3 more answers
Given h(x) = x2 – 5x + 7, find the following.<br> a. h(2)<br> b.h(-5)<br> c. h(-8)
azamat

Answer:

Step-by-step explanation:

hello :

h(x) = x² – 5x + 7

h(-2) = (-2)² – 5(-2) + 7 =4+10+7 =21

h(-5) = (-5)² – 5(-5) + 7= 25+25+7 =57

h(-8) = (-8)² – 5(-8) + 7 = 64+40+7=111

5 0
3 years ago
In one​ lottery, a player wins the jackpot by matching all five numbers drawn from white balls​ (1 through 45​) and matching the
777dan777 [17]

Answer:

39,096,288

Step-by-step explanation:

as we know that

The number of ways to pick 5 numbers from 45  are

45C_5

\frac{45\times44\times43\times42\times41}{5\times4\times3\times2\times1}|

= 1,221,759.

There are 32 ways to pick a gold ball so total number of ways to get  6 matching numbers is

1221759×32

= 39,096,288

6 0
4 years ago
Help pls!! I don’t understand
Debora [2.8K]
\bold{ANSWER:}
x = 55

\bold{SOLUTION:}

7 0
3 years ago
Other questions:
  • Help!! Find the value of x.
    12·1 answer
  • Which expression results in a product that is rational?
    5·1 answer
  • You start at (8, 1). You move right 1 unit and left 3 units. Where do you end?
    13·1 answer
  • A group of friends are ordering food. The total amount that they can spend on their food bill is $41, including the delivery cha
    14·1 answer
  • Karlen started painting the walls at 10:45 am, and he said that he could complete the job at 5:25 pm. His father said that five-
    10·1 answer
  • Pencils come in packs of 10 they are 18 packs in a box how many packs of pencils are there in all
    11·2 answers
  • Which transformation(s) can be used to map one triangle onto the other? Select two options.
    8·1 answer
  • If wayne has 75 coins his brother has 25 fewer than him how mant does he has
    14·2 answers
  • Please I will give brainliest
    12·2 answers
  • Determine the missing value!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!