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
Vesna [10]
3 years ago
12

The circle below has an area of 314 square centimeters, and the square inside the circle has a side length of 2 centimeters. A c

ircle is shaded blue. A small unshaded square is at the center of the circle.

Mathematics
1 answer:
frez [133]3 years ago
3 0

Answer:

31/40

Step-by-step explanation:

The question is incomplete. Here is the complete question with appropriate diagram.

The circle below has an area of 314 square centimeters, and the square inside the circle has a side length of 2 centimeters.

What is the probability that a point chosen at random is in the blue region?

Given the area of the circle to be 314cm², we need to get the diameter of the circle first since the diameter of the circle is equivalent to length of the side of the square inscribed in it.

Using the formula Area of a circle = πr²

314 = 3.14r²

r² = 314/3.14

r² = 100

r = 10 cm

Diameter of the circle = 2*10 = 20 cm

Area of a square = Length * length

Area of the outer square = 20*20 = 400cm²

Area of the inner square with side length 2cm = 2*2 =4cm²

Area of the shaded region = Area of the square - Area of the inner square

= 314-4 = 310cm²

The probability that a point chosen at random is in the blue region = Area of the shaded region/total area of the outer square

= 310/400

= 31/40

You might be interested in
If y is proportional to x and y = -15 when x= -20, what is the value of x when y = 12
ladessa [460]
I hope this helps you




y= -15 x= -20



y=12 x=?



?.-15=12.-20


?=12.20/15


?=16


x=16
3 0
3 years ago
Michael buys a ball for 5.50 and a flashlight for 3.65. If he has 10.00 how much change we’ll he receive
Sveta_85 [38]

Answer:

.85 cents

Step-by-step explanation:

3 0
2 years ago
A store sells a 1 1/4 pound package of turkey for $9 what is the unit price of the turkey in the package?
Brilliant_brown [7]

Answer:

$7.2/lb

Step-by-step explanation:

9/1.25= 7.2

6 0
2 years ago
The work of a student to find the dimensions of a rectangle of area 6 + 8x and width 2 is shown below:
tatiyna
Answer:
Step 2; 2(3) = 2(4x)
5 0
3 years ago
Read 2 more answers
5. Landon bought a new car for $16,000 and it depreciates 4.5% every year. Write a function that describes
snow_tiger [21]

Answer:

<h3>The value C(t) of the car after  5  years is $12709.</h3>

Step-by-step explanation:

Given that Landon bought a new car for $16,000 and it depreciates 4.5% every year.

<h3>To find the value C(t) of the car after  5  years:</h3>

Initial value C(0)= $16,000

Depreciation rate is  r=\frac{4.5}{100}

<h3>∴ r=0.045</h3>

Period ,  t=5 years

C(t)=C(0)(1-r)^t

Substitute the values we get

C(5)=16000(1-0.045)^5

=16000(0.955)^5

=16000(0.7943)

∴ C(5)=12708.8

<h3>The value C(t) of the car after  5  years is  $ 12709</h3>
3 0
2 years ago
Other questions:
  • A convex pentagon has the following measurements for its interior angles: (x-8), (3x-11), (x+8), (x), and (2x+7). Which of the f
    12·2 answers
  • What is the combined length of the 2 1/2 inch and 1 1/2 inch pieces of wire
    7·1 answer
  • Hello! This is really easy! (For some people anyway)
    7·2 answers
  • Line t is the perpendicular bisector of FG. If line t intersects FG at point H, which of the following statements must be true?
    14·2 answers
  • 0.2 is 1/10 of what <br> pls tell me
    11·1 answer
  • What is y?<br> HELP!<br> Pls.
    8·2 answers
  • If the sphere shown above has a radius of 19 units, then what is the approximate volume of the sphere?
    6·1 answer
  • Help me with this quick pleaseeeee
    6·1 answer
  • !!!*BRAINLIEST*!!!
    10·2 answers
  • Select the correct answer.<br> What is the value of X in the triangle?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!