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
Roman55 [17]
3 years ago
12

Find the value of x. If necessary, round your answer to the nearest tenth. O is the center of the circle.

Mathematics
1 answer:
hjlf3 years ago
6 0

Answer:

x = 9.8

Step-by-step explanation:

(please refer to attached)

after labeling the picture with all the known information, we can see that

OF = OR = Radius of the circle     -----(eq 1)

Consider triangle OFP,  by Pythagorean theorem,

OF² = PF²+OP²

r² = 11.5² + 11²

r² = 253.25  -----(eq 2)

Consider triangle ORQ,  by Pythagorean theorem,

OR² = RQ²+OQ²

r² = 12.5² + x²

r² = 156.25 + x²  ----(eq 3)

equating (eq 2) and (eq 3)

253.25 = 156.25 + x²    

x² = 253.25 - 156.25

x² = 97

x = √97

x = 9.8  (nearest tenth)

You might be interested in
Find the missing side length of the right triangle. show work.
motikmotik

Answer:

6.32

Step-by-step explanation:

To find the side length on a right angled triangle we follow The Pythagorean Theorem:

{a}^{2}  +  {b}^{2}  =  {c}^{2}

c being the hypothesis (longest side: the hypotenuse is always opposite the right angle)

so..

{6}^{2}  +   {2}^{2}  =  {x}^{2}  \\ 36 + 4 =  {x}^{2}  \\ 40 =  {x}^{2} \\  \sqrt{40}   =  \sqrt{ {x}^{2} } \\

6.32 = x

8 0
2 years ago
Read 2 more answers
If the rate of change (ROC) of the function is quadratic, what is the function type ? Choose the correct answer.
evablogger [386]

If the rate of change (ROC) of the function is quadratic, then the function type is cubic

<h3>What is rate of change?</h3>

The rate of change of a function is the rate at which the output values change over the input value

The rate of change of a function is one degree less than the actual function

This means that, a cubic function will have a quadratic rate of change

Hence, the correct option is (d)

Read more about rate of change at:

brainly.com/question/8728504

4 0
2 years ago
Which function has a vertex at ( 2 , -5 )?
Mice21 [21]
The answer is C) y= |x-2| -5
3 0
2 years ago
What is the value of i^20+1?<br><br> A. 1<br> B. -1<br> C. -i<br> D. i
Svetllana [295]
I’m thinking b would be it i’m not so sure
7 0
2 years ago
The function y=ex is vertically stretched by a factor of 2, reflected across the x-axis, and then shifted down 3 units, find the
Anettt [7]

Answer:

y = - 2 e^{x} - 3

Step-by-step explanation:

We have to vertically stretch the function y = e^{x} by a factor of 2.

Then the function will become y = 2e^{x}.

Then it is reflected across the x-axis.

So, the new function will be y = - 2e^{x}.

Now, if the function is shifted down 3 units then the final function will become y = - 2 e^{x} - 3 (Answer)

6 0
2 years ago
Other questions:
  • A body of mass 80kg was lifted vertically through a distance of 5.0 metres. Calculate the work done on the body. ( Acceleration
    10·2 answers
  • A temperature recorded in Antarctica was -119 Fahrenheit the temperature recorded in the Sahara desert was 134 Fahrenheit how ma
    8·1 answer
  • Can you help me with this problem?
    14·1 answer
  • Slope= -6 y intercept= -3 ??
    10·1 answer
  • Can someone work this out for me please? I'm so confused.
    6·1 answer
  • How do I find JN in this problem?
    14·1 answer
  • Very confused. Will give 40pts.
    13·1 answer
  • The expression 0.08 + x -200 ) models the final price of a computer with an instant rebate in a state that charges a sales tax.
    7·1 answer
  • Simplify the expression:<br> square root of p^10 where p&gt;0
    12·1 answer
  • Pls help me to answer this​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!