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
Alex777 [14]
3 years ago
5

In the diagram, point P is a point of tangency. Find the radius r of circle O.​

Mathematics
1 answer:
vlabodo [156]3 years ago
4 0

Answer:

r = 12

Step-by-step explanation:

From the figure attached,

QP is a tangent to the circle O at the point P.

Therefore, by the property of tangency,

OP ⊥ QP

By applying Pythagoras theorem In right triangle QPO,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

(OQ)² = (OP)² + (PQ)²

(25 + r)² = (35)² + r²

625 + r² + 50r = 1225 + r²

50r = 1225 - 625

50r = 600

r = 12

Therefore, r = 12 units is the answer.

You might be interested in
Find the area and circumference of a circle with radius 2 cm use 3.14 for pie do not round answers
Vlad1618 [11]

Answer:

The area is 12.56, and the circumference is 12.56.

Step-by-step explanation:

For the area,

We need to use the formula A=3.14*radius*radius

So we plug it in, and we get 3.14*2*2, which is 12.56 centimeters squared.

For circumference, we need to do,

C = 3.14*diameter

To find the diameter we need to do 2 (radius) x 2 which is 4

Plugging it in that would be 3.14 * 4 which is 12.56

So, in this case, the area is 12.56, and the circumference is also 12.56.

3 0
3 years ago
How many corners does a cube have in 4 dimensions?
Ostrovityanka [42]
Well, there is 6 corners that doesn't touch each other. And if you add the ones that are touching each other then it has 10 corners.
4 0
3 years ago
The bar diagram shows the amount of data Mara has used for
VladimirAG [237]

Answer:

8 GB

Step-by-step explanation:

8GB

8 0
2 years ago
A van travels 220 miles on 10 gallons of gas. Find how many gallons the van needs to travel 550 miles.
Anestetic [448]
The van will need 25 gallons of gas for it to travel 550 miles. This is calculated by dividing 10 gallons to 220 miles to get the miles per gallons, which in this case is 22 miles per gallon. Then we have to divide 550 miles by 22 miles per gallon to get the total gas consumption, which is 25 gallons.
5 0
3 years ago
Read 2 more answers
1/4 plus 4/5(3/4x - 1 1/9)
ANTONII [103]

Answer:

\frac{3}{5}x+-\frac{131}{180}

6 0
3 years ago
Other questions:
  • Using factor theorem, factorize: x3 - 6x2 + 3x + 10
    7·1 answer
  • A baby outfit uses 2/9 square yard of fabric for the hat and 5/9 square yards of fabric for the bib. A tailor has 5 4/9 square y
    15·1 answer
  • Whats the answer???​
    9·2 answers
  • __________, or modeling, is the process of translating a verbal statement of a problem into a mathematical statement. a. Data st
    6·1 answer
  • What is the coefficient of the y-term in the expression 4x+5xy–2y?
    5·2 answers
  • Need to see how to form an equation and solve
    12·1 answer
  • How far below zero is −16 degrees Celsius?
    15·1 answer
  • Can someone help me find the slope shown on this line please
    6·1 answer
  • Solve 10x^5y^12/-5x^-2y^6
    12·1 answer
  • HELP 5TH GTRADE MATH HELPP
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!