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
Kobotan [32]
3 years ago
13

The semicircle shown at left has center X and diameter WZ. The radius XY of the semicircle has length 2. The chord YZ has length

2. What is the area of the shaded sector formed by obtuse angle WXY
Mathematics
1 answer:
GaryK [48]3 years ago
5 0

Answer:

4π/3 square units

Step-by-step explanation:

Triangle XYZ is equilateral,

The central angle of the sector is 120°, or 2π/3 radians.

The area of a sector of central angle β is given by

.. A = (1/2)r^2*β . . . . . . β in radians

.. A = (1/2)*2^2*(2π/3) = 4π/3 square units

You might be interested in
You drink a beverage with 120 mg of caffeine. Each hour, the caffeine in your system decreases by about 12%. How many milligrams
valentina_108 [34]

Answer:

 43.16 mg

Step-by-step explanation:

After each hour, the amount remaining is 100% - 12% = 0.88 times the amount present at the beginning of the hour. Then after 8 hours, the amount remaining will be the initial amount multiplied by 0.88 eight times, or ...

  (120 mg)·(0.88^8) ≈ 43.1561 mg ≈ 43.16 mg

_____

Of course, an exponent is used to signify repeated multiplication. You can actually do the multiplication if you like, but most scientific and graphing calculators handle exponentiation easily.

8 0
3 years ago
g In R simulate a sample of size 20 from a normal distribution with mean µ = 50 and standard deviation σ = 6. Hint: Use rnorm(20
Illusion [34]

Answer:

> a<-rnorm(20,50,6)

> a

[1] 51.72213 53.09989 59.89221 32.44023 47.59386 33.59892 47.26718 55.61510 47.95505 48.19296 54.46905

[12] 45.78072 57.30045 57.91624 50.83297 52.61790 62.07713 53.75661 49.34651 53.01501

Then we can find the mean and the standard deviation with the following formulas:

> mean(a)

[1] 50.72451

> sqrt(var(a))

[1] 7.470221

Step-by-step explanation:

For this case first we need to create the sample of size 20 for the following distribution:

X\sim N(\mu = 50, \sigma =6)

And we can use the following code: rnorm(20,50,6) and we got this output:

> a<-rnorm(20,50,6)

> a

[1] 51.72213 53.09989 59.89221 32.44023 47.59386 33.59892 47.26718 55.61510 47.95505 48.19296 54.46905

[12] 45.78072 57.30045 57.91624 50.83297 52.61790 62.07713 53.75661 49.34651 53.01501

Then we can find the mean and the standard deviation with the following formulas:

> mean(a)

[1] 50.72451

> sqrt(var(a))

[1] 7.470221

5 0
3 years ago
The results of a standardized test are normally distributed. The mean test score is 312. Of the scores, 16% are under 307. What
amid [387]

Answer:

the answer is B five

Step-by-step explanation:

three hundred and seven minus three hundred and twelve

4 0
2 years ago
Help me solve this problem
Alexxx [7]

Answer:

C. Associative Property

Step-by-step explanation:

The associative property of addition states that changing the grouping of the addends does not change the sum.

(-7+3)= -4

-4+9= 5

(3+9)= 12

-7+12=5

3 0
3 years ago
If a circle has a diameter of 6 cm, which values is closest to its circumference?
maks197457 [2]

Answer:

18.85 (rounded to the nearest hundredth)

Step-by-step explanation:

The formula for diameter of a circle is "C=2\pir". With this in mind, we have to find the radius. We do this by cutting the diameter in half. Now we can fill in the formula.

C = 2 · \pi · 3 = 18.849555921539

4 0
3 years ago
Other questions:
  • I need help please ...
    7·1 answer
  • How many lines of symmetry does a circle have??​
    9·2 answers
  • Which value of x makes the qoutient of (5x^5+90x^2-135x)+(x+3)​
    13·1 answer
  • NEED HELP ASAP PLEASE!! The graph of F(x), shown below, resembles the graph of G(x) = x2, but it has
    14·1 answer
  • Mr. Jones eats out at his favorite buffet restaurant every Friday night. If the cost is $9 and he budgets $42 for the month, how
    12·1 answer
  • Suppose that 6 people sitting in a enclosed room are each generating about 400 BTUs of body heat per hour. If the room is 20 ft
    5·1 answer
  • -1/3+1/2 simplified??
    15·1 answer
  • 10.
    15·1 answer
  • Type a digit that makes this statement true.<br> 5,474,86<br> is divisible by 9.<br> Submit
    5·2 answers
  • 12. The average bowling score of the 5-member in Regional High School bowling team is 128. If all the members of the team get th
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!