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
kipiarov [429]
2 years ago
14

If the area of a circle is 154 cm square then find the diameter and circumference​

Mathematics
1 answer:
german2 years ago
8 0

Answer:

Diameter = 14 cm

Circumference = 44 cm

Step-by-step explanation:

  1. Area of circle = πr²
  2. Diameter = 2r
  3. Circumference = 2πr = πd
  4. π ≈ 3.142

\pi  {r}^{2}  = 154 \\  {r}^{2} =  \frac{154}{\pi}  \\ r =   \sqrt{ \frac{154}{\pi} }  \: cm

Diameter = 2r \\  = 2 \sqrt{ \frac{154}{3.142} }  \\   ≈ 14 \: cm

Circumference = πd \\  = 14\pi \\  = 14 \times 3.142 \\  = 43.988 \\ ≈ 44 \: cm

You might be interested in
Is it 6, 9, 18, or 8?
GarryVolchara [31]

Answer:

8

Step-by-step explanation:

I know because I got distracted question before

6 0
3 years ago
Sin^2 x + 3sin x + 2 = 0f for 0 &lt;= x &lt;= 2pi<br><br> Solve for x<br><br> Worth 8 marks.
makvit [3.9K]

Step-by-step explanation:

first inequality gives

(2sinx−1)(sinx+2)>0

(sinx−

2

1

)>0

6

Π

<x<

6

5Π

second inequality gives

(x+1)(x−2)<0

−1<x<2

common part is

6

Π

<x<2

hOpe it help!!!

5 0
3 years ago
X &lt; -5. solve plssss no links​
kondor19780726 [428]

Answer: I don't know how to type the infinity symbol on my phone but..

(-infinity, -5)

Basically x can be anything less than -5.

4 0
3 years ago
A single fair die is rolled. What if event A stays the same, i.e., A={2,4} but B={2,4,5}. Event A is independent with event B. T
den301095 [7]

Answer:

False.

Event A and event B are not independent.

Step-by-step explanation:

We know that event A and event B are

A= {2,4} and B= {2,4,5}.

If the following condition satisfies then event A and event B are independent:

P( A and B)= P(A)*P(B).

Now A and B=?

A and B=A∩B= {2,4} ∩ {2,4,5}

A and B=A∩B={2,4}

The single fair die results in 6 outcomes so, the sample space will contain 6 elements.

Thus,

P(A∩B)=2/6=1/3

P(A)=2/6=1/3

P(B)=3/6=1/2

P(A)*P(B)=1/3*1/2=1/6

As,

P(A∩B)≠P(A)*P(B)

1/3≠1/6

Thus, events A and event B are dependent.

5 0
4 years ago
The probability that an American CEO can transact business in a foreign language is .20. Ten American CEOs are chosen at random.
elena-14-01-66 [18.8K]

Answer:

(a) 0.1074

(b) 0.6342

(c) 1.024 x 10⁻⁷

Step-by-step explanation:

This problem can be modeled as a binomial probability with probability of success (transacting business in a foreign language) p =0.20, and n = 10 trials. The binomial probability model is:

P(X=x) = \frac{n!}{(n-x)!x!}*p^x*(1-p)^{n-x}

(a) None can transact business in a foreign language, P(X=0)

P(X=0) = \frac{10!}{(10-0)!0!}*0.2^0*(1-0.2)^{10-0}\\P(X=0) = 0.8^{10} = 0.1074

(b) At least two can transact business in a foreign language

P(X\geq2) = 1-(P(X=0)+P(X=1))\\P(X\geq2) = 1-(0.1074+\frac{10!}{(10-1)!1!}*0.2^1*(1-0.2)^{10-1})\\P(X\geq2) = 1- (0.1074+10*0.2*0.8^{9}) = 0.6342

(c) All 10 can transact business in a foreign language

P(X=10) = \frac{10!}{(10-10)!10!}*0.2^{10}*(1-0.2)^{10-10}\\P(X=10) = 0.2^{10} = 1.024 * 10^{-7}

6 0
3 years ago
Other questions:
  • How many 2/3 ounce packages of peanuts can be made with 8 ounces of peanuts?
    12·1 answer
  • Y=-5. How can I graph this?
    11·1 answer
  • FIRST RIGHT ANSWER FOR BBOTH GETS BRAIN
    7·2 answers
  • Which logarithmic graph can be used to approximate the value of y in the equation 2y=5
    8·1 answer
  • What is the width of a sheet of paper?
    8·1 answer
  • Hurry pls i need help
    7·2 answers
  • World Motor Vehicle Production, 1998-1999
    12·1 answer
  • In which day(s) were 40 homework problems completed?
    8·1 answer
  • Hhheeelllppp please i need to simplify
    6·2 answers
  • What is the area in polynomial form
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!