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
Natalija [7]
3 years ago
12

What is the radius of Circle C?

Mathematics
1 answer:
Serhud [2]3 years ago
4 0
The distance from the center C to the point on the circle B is the radius. 
radius = length of BC = x

Triangle ABC is a right triangle. The right angle (aka 90 degree angle) is at angle B as shown by the square marker. 

Because we have a right triangle, we can use the pythagorean theorem

(leg1)^2 + (leg2)^2 = (hypotenuse)^2
(AB)^2 + (BC)^2 = (AC)^2
(22)^2 + (x)^2 = (x+14)^2
484 + x^2 = x^2 + 28x + 196
484 + x^2-x^2 = x^2 + 28x + 196-x^2
484 = 28x+196
484-196 = 28x+196-196
288 = 28x
28x = 288
28x/28 = 288/28
x = 72/7
x = 10.285714

The exact value of x, as a fraction is 72/7
Using a calculator, the approximate value of x is roughly 10.285714

So the radius is exactly 72/7 units long. 
The radius is approximately 10.285714 units long.

You might be interested in
Solve the following system of equations using a method of your choice.
dusya [7]

Answer:

Step-by-step explanation:

cant remember what this method is called but

change the second equation to be y = something

x + y = 10

y = -x + 10

plug in this y= in the first equation to get x

4x -2(-x + 10) = 4

4x + 2x -20 = 4

6x = 24

x = 4

then plug in the x we found into the original second equation

4 + y = 10

y = 6

so your ordered pair would be (4,6)

hope this helps <3

8 0
3 years ago
I’ll give you brainiest who ever answer this right
erma4kov [3.2K]

Answer:

y=x+1

Step-by-step explanation:

at each x you move up by 1

5 0
2 years ago
A meteor crater is 3300 feet in diameter. Approximate the distance around the crater. Use 3.14 for pie.
Afina-wow [57]

circumference = diameter x PI

 3300 *3.14 = 10,362 feet

7 0
3 years ago
Read 2 more answers
which of the following sets could be the sides of a right triangle? {2,3, square root 13} {5,5,2 square root 10} {5,12,15}
anastassius [24]

All of these sets meet the requirements of the triangle inequality. The sum of any two numbers in the set is greater than the third one. (You really only need to check that the sum of the smallest two is greater than the largest.)

It can help to resolve the numbers that are only indicated as to value.

√13 ≈ 3.606

2√10 ≈ 6.325

_____

Your comparisons can be ...

2 + 3 = 5 > 3.606 . . . is a triangle

5 + 5 = 10 > 6.325 . . . . . . is a triangle

5 + 12 = 17 > 15 . . . . . . . . is a triangle

8 0
3 years ago
What is an equivalent fraction of 10/12
BARSIC [14]

Answer:

5/6

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

Step-by-step explanation:

We can simplify this fraction down further by divide both numerator and denominator by 2:

10/2 = 5

12/2 = 6

5/6 will be equivalent to 10/12

6 0
2 years ago
Read 2 more answers
Other questions:
  • Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that
    6·1 answer
  • What is the ninth term in the binomial expansion of (x – 2y)13? 329,472x5y8 –329,472x5y8 –41,184x8y5 41,184x8y5
    8·1 answer
  • What is the area of rectangle PQRS?
    9·2 answers
  • Simplify each expression involving signed numbers.
    15·1 answer
  • 6. Calculate Suppose Cory's
    13·1 answer
  • Convert 8.4 feet per minute to yards per minute.
    12·1 answer
  • Need help as soon as possible
    15·1 answer
  • What is the least common multiple of 10 and 27
    8·1 answer
  • Y + 5 = (x + 3)<br> slope (m): ? <br> coordinates: ?
    15·1 answer
  • C<br> 56 cm<br> 33 cm<br> What is the length of the hypotenuse?<br> C =<br> centimeters<br> Suboth
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!