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
Inessa05 [86]
4 years ago
14

A tan is shaped as a sector of a circle radius 12cm with the angle 110 at the centre calculate the area of the fan

Mathematics
1 answer:
blsea [12.9K]4 years ago
8 0

Answer:

≈ 138.2 cm²

Step-by-step explanation:

The area (A) of the sector of the circle is calculated as

A = area of circle × fraction of circle

   = πr² × \frac{110}{360}

   = π × 12² × \frac{110}{360}

   = 144π × \frac{110}{360}

   = \frac{144(110))\pi }{360} ≈ 138.2 cm² ( to 2 dec. places )

You might be interested in
PLEASE HELP ASAP I WILL GIVE BRAINLIEST AND LOTS OF POINTS <br> (I just need help for the first 7)
ValentinkaMS [17]

Answer:

Step-by-step explanation:

Good luck

4 0
3 years ago
The manager wants to advertise that anybody who isn't served within a certain number of minutes gets a free hamburger. But she d
aksik [14]

Answer:

The number of minutes advertisement should use is found.

x ≅ 12 mins

Step-by-step explanation:

(MISSING PART OF THE QUESTION: AVERAGE WAITING TIME = 2.5 MINUTES)

<h3 /><h3>Step 1</h3>

For such problems, we can use probability density function, in which probability is found out by taking integral of a function across an interval.

Probability Density Function is given by:

f(t)=\left \{ {{0 ,\-t

Consider the second function:

f(t)=\frac{e^{-t/\mu}}{\mu}\\

Where Average waiting time = μ = 2.5

The function f(t) becomes

f(t)=0.4e^{-0.4t}

<h3>Step 2</h3>

The manager wants to give free hamburgers to only 1% of her costumers, which means that probability of a costumer getting a free hamburger is 0.01

The probability that a costumer has to wait for more than x minutes is:

\int\limits^\infty_x {f(t)} \, dt= \int\limits^\infty_x {}0.4e^{-0.4t}dt

which is equal to 0.01

<h3>Step 3</h3>

Solve the equation for x

\int\limits^{\infty}_x {0.4e^{-0.4t}} \, dt =0.01\\\\\frac{0.4e^{-0.4t}}{-0.4}=0.01\\\\-e^{-0.4t} |^\infty_x =0.01\\\\e^{-0.4x}=0.01

Take natural log on both sides

ln (e^{-0.4x})=ln(0.01)\\-0.4x=ln(0.01)\\-0.4x=-4.61\\x= 11.53

<h3>Results</h3>

The costumer has to wait x = 11.53 mins ≅ 12 mins to get a free hamburger

3 0
3 years ago
If we sub (3x-5y) from (6x +8y)then the result is plz repy​
konstantin123 [22]

Answer:

3x + 13y

Explanation:

6x + 8y − (3x − 5y)

Distribute the Negative Sign

6x + 8y + −1(3x − 5y)

6x + 8y + −1(3x) + −1(−5y)

6x + 8y + −3x + 5y

Combine Like Terms

6x + 8y + −3x + 5y

(6x + −3x) + (8y + 5y)

= 3x + 13y

8 0
4 years ago
Read 2 more answers
If two angles are complements of each other then each angle is
Elan Coil [88]

Answer:

each angle is less than 90 degrees. angle 1+angle2=90 degrees

Step-by-step explanation:

8 0
3 years ago
The formula V = πd2h 8 is used to find the volume of a parabolic cone. In the formula "d" represents the diameter of the cone an
ankoles [38]

Answer:

V = 54π cm³ ⇒ answer (C)

Step-by-step explanation:

∵ V = (πd²h)/8

∵ d = 6 cm

∵ h = 12 cm

∴ V = (π × 6² × 12) ÷ 8 = 54π cm³

5 0
4 years ago
Other questions:
  • (5x – 3y + 8) + (-3x + 6y - 3)​
    11·1 answer
  • Round this number the nearest hundredth 7.349
    13·1 answer
  • 35÷(-7)+6 how do i do this prob.
    14·2 answers
  • What is the probability that your name will be drawn first, and NOT replaced , from each bag.?
    14·1 answer
  • This is the value of a variable for an entire population. It usually cannot be found directly.
    15·2 answers
  • Which of the following is most likely the next step in the series
    8·1 answer
  • Use the distributive property to expand each expression. 0.5(12m - 22n) 0.5(12m - 22n =0.5(____) - 0.5(____)
    8·1 answer
  • Which choice is equivalent to the quotient shown here for acceptable values of x?
    12·2 answers
  • Find the value of x which ABCD must be a parallellogram?<br> x =
    7·1 answer
  • What is the counterexample for "If two numbers are odd, then theri sum is odd"​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!