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
Verdich [7]
3 years ago
6

A central angle of a circle measures 1.5 radians. If the radius of the circle is 3 cm, what is the area of the related sector?

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
7 0

Answer:

Option B. 6.75\ cm^{2}

Step-by-step explanation:

we know that

The area of a circle is equal to

A=\pi r^{2}

we have

r=3\ cm

substitute

A=\pi (3^{2})=9 \pi\ cm^{2}

Remember that

2\pi radians subtends the complete circle of area 9 \pi\ cm^{2}

so

by proportion

Find the area of the related sector for a central angle of 1.5 radians

Let

x------> the area of the related sector

\frac{9 \pi}{2\pi}\frac{cm^{2}}{radians} =\frac{x}{1.5}\frac{cm^{2}}{radians}\\ \\x=9*1.5/2\\ \\x= 6.75\ cm^{2}

You might be interested in
Solve for x in 5x−19≤1 OR −4x+3<−6
gogolik [260]

Answer:

I had x to be 4 or 9/4 that is my solution

7 0
3 years ago
Read 2 more answers
Suppose that blood chloride concentration (mmol/L) has a normal distribution with mean 104 and standard deviation 5
Stels [109]

Answer:

a) 0

b) 0.579 is the probability that chloride concentration is less than 105.

c) 0.32 is the probability that chloride concentration differs from the mean by more than 1 standard deviation.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 104

Standard Deviation, σ = 5

We are given that the distribution of blood chloride concentration is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) Since normal distribution s a continuous distribution, the probability for a particular value is zero. Therefore,

P(x =105) = 0

b) P(chloride concentration is less than 105)

P(x < 105) = P(z < \displaystyle\frac{105-104}{5}) = P(z < 0.2)

Calculating the value from the standard normal table we have,

P(z

c) P(chloride concentration differs from the mean by more than 1 standard deviation)

Since it is a normal distribution, the Empirical rule shows that 68% falls within the first standard deviation, 95% within the first two standard deviations, and 99.7% within the first three standard deviations.

= 1 - P(chloride concentration within the mean by 1 standard deviation)

= 1 - 0.68 = 0.32

3 0
3 years ago
Please help i don’t know properties for shi
Lady bird [3.3K]

Answer:

18. Commutative property of addition

19. Distributive property

20. Associative property of addition

Step-by-step explanation:

3 0
2 years ago
What is 10 4/5 - 2 1/5
Yuliya22 [10]
8 3/5 
i hope i helped 









4 0
3 years ago
Read 2 more answers
HELP ASAP ILL GIVE BRAINLIST
Mila [183]

Answer:

Part A)  ΔCGB and ΔPBE are similiar

Part B) They are similar because they are Vertical Angles/Alternate Interior Angles

Part C) Distance from B to E is 125; Distance from P to E is 275.

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • A rattlesnake at a zoo is 5 1/2 feet long. A corn snake at a zoo is 3/4 of that length.
    12·2 answers
  • Please graph y = (x+4)/2
    9·1 answer
  • Define direction of vector​
    11·1 answer
  • Given: -3(2x + 7) = -29 – 4x; Prove: x = 4
    14·1 answer
  • Solve for x.<br> In(5x – 3) = 2
    5·2 answers
  • PLEASE HELP ME
    13·2 answers
  • EASY POINTS!!
    13·2 answers
  • Rembrandt's Dress Shop marked down a pair of shoes 15% if the customer purchased them with a dress or pantsuit. The shoes' sale
    5·1 answer
  • I need help plz plz plz
    5·2 answers
  • The radius of a circle is 2 yards. What is the circle's area? r=2 yd Use 3.14 for ​.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!