Find the area and the circumference of a circle with radius 6 m.
Write your answers in terms of it, and be sure to include the correct units in your answers.
(a) Area:
6 m
(b) Circumference:
Answers
Answer:
(a) 113.04m²
(b) 37.68m
Step-by-step explanation:
(a)
Area = πr²
=π(6)²
=36π
=113.04m²
(b)
Circumference = 2πr
2π(6) = 12π
=37.68m
Step-by-step explanation:
(a) πr^2= 22/7 * 6*6
= 113.1 m^ 2
(b) 2πr= 2*22/7*6
= 37.7 m
Related Questions
Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $8 monthly fee and charges an additional $0.12 for each minute of calls. The second plan has a $18 monthly fee and charges an additional $0.7 for each minute of calls. For how many minutes of calls will the costs of the two plans be equal?
Answers
Answer:
200 minutes
Step-by-step explanation:
Let us assume the number of minutes be x
Now the two equations are
$8 + 0.12x = 0
And, $18 + 0.7x = 0
In the case when the cost of the two plans is equal
So
$8 + 0.12x = $18 + 0.7x
$8 - $18 = 0.7x - 0.12x
-$10 = -0.05x
x = 200 minutes
The sum or two numbers is 59. the larger number is 15 more than the smaller number. What are the numbers
Answers
Answer: 37 and 22
Step-by-step explanation:
x + y = 59
x = 15 + y (substitute x as 15 + y into the first equation)
15 + y + y = 59
2y + 15 = 59
2y = 44
y = 22
substitute y as 22 into one of the equations
x = 15 + 22
x = 37
Suppose that the space shuttle has three separate computer control systems: the main system and two backup duplicates of it. The first backup would monitor the main system and kick in if the main system failed. Similarly, the second backup would monitor the first. We can assume that a failure of one system is independent of a failure of another system, since the systems are separate. The probability of failure for any one system on any one mission is known to be 0.01.
(a) Find the probability that the shuttle is left with no computer control system on a mission. (Enter your answer to six decimal places.)
(b) How many backup systems does the space shuttle need if the probability that the shuttle is left with no computer control system on a mission must be
1
one hundred thousand
(Enter your answer as a whole number.)
_____ backup systems.
Answers
Answer:
a) 0.000001 = 0.0001% probability that the shuttle is left with no computer control system on a mission.
b) 3 backup systems are needed.
Step-by-step explanation:
For each system, there are only two possible outcomes. Either it works, or is does not. Systems are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Three separate computer control systems
This means that [tex]n = 3[/tex]
The probability of failure for any one system on any one mission is known to be 0.01.
So the probability of working is:
[tex]p = 1 - 0.01 = 0.99[/tex]
(a) Find the probability that the shuttle is left with no computer control system on a mission. (Enter your answer to six decimal places.)
This is [tex]P(X = 0)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.99)^{0}.(0.01)^{3} = 0.000001[/tex]
0.000001 = 0.0001% probability that the shuttle is left with no computer control system on a mission.
(b) How many backup systems does the space shuttle need if the probability that the shuttle is left with no computer control system on a mission must be 1 over one hundred thousand
This is n for which:
[tex]P(X = 0) < \frac{1}{100000} = 0.00001[/tex]
With 2 backup systems, the probability is lower than this, so lets see if with only two is possible.
We find [tex]P(X = 0)[/tex] when [tex]n = 2[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{2,0}.(0.99)^{0}.(0.01)^{2} = 0.0001 > 0.00001[/tex]
So 3 backup systems are needed.
A label that wraps around a box of golf balls covers 75 percent of its lateral surface area. What is the value of x?
Answers
Answer:
To find the area of the rectangular prism, use the formula:
A = width x height x length
A = 2 x 2 x 3
A = 12
Now multiply A with 0.75
12 x 0.75 = 9
x = 9 in³
hope this helps
Step-by-step explanation:
Help please. Monica estimates the recipe makes about 5 cups of fruit salad. which example describes whether Monica estimates is reasonable?
Not reasonable. Four fractions cannot equal more than 4 cups.
B
Not reasonable. The whole numbers add up to 3 so the total sum cannot be 5 cups.
C
Reasonable. The grapes and apples is about 2 cups and pears and oranges is exactly 3 cups.
D
Reasonable. The pears and apples is about 3 cups and the grapes and oranges is exactly 2 cups.
Answers
Answer:
A.
Step-by-step explanation:
Not reasonable, Why did you put that as your answer?
The whole numbers add up to more then 4 cups.
Which of the following theorems verifies that GHI = UVW
Answers
Correct Answer: C / AA
A ball is tossed at a hole in a board. The ball goes into the hole 15 times and misses the hole 52 times.
Based on this experiment, what is the probability that the ball will go into the hole when tossed?
Enter your answer in the box as a percent rounded to the nearest whole number.
Answers
Probability (Ball goes into hole) = 0.22388 or 22.388%
Step-by-step explanation:
Given:
Ball goes into hole = 15 times
Ball miss the hole = 52 times
Find:
Probability (Ball goes into hole)
Computation:
Total number of tries = 15 + 52
Total number of tries = 67
Probability (Ball goes into hole) = 15 / 67
Probability (Ball goes into hole) = 0.22388 or 22.388%
Helppppp!!!!
I don’t understand it
Answers
Subtract -2 from each side
-y>-2x+3
Divide by -1
And when you divid you gotta switch signs
So it’s y<2x-3
3x-5y less than and equal to 25
Subtract 3
-5y is less than and equal to -3x+25
Then divide by -5
Flip since we divide
Y more than and equal to 3/5x-5
We always flip signs when we divid or multiple
I hope this help
Sorry if I’m wrong
A family wants to rent a car to go on vacation. Company A charges $35.50 and 11¢ per mile. Company B charges $60.50 and 14¢ per mile. How much more does Company B charge for x miles than Company A?
Answers
Answer:
$30 and 1 cent more
Step-by-step explanation:
$60.50 - $30.50 = $30
0.12 - 0.11 = 0.01
ready readyup here we go
Answers
Answer:
B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
all the other ones are incorrect.
Hey umm how do you make your stressed mom feel better?
Answers
Answer:
Help her around the house.
Step-by-step explanation:
If shes like nice sometimes, then go hug her or give her some water.
John is making a circular table that has a top with a diameter of 24 inches. Find the circumference of the table and round to the nearest tenth.
Diameter of 24
76 in
75.4 in
38
37.7
Answers
Answer:
75.4
Step-by-step explanation:
Diameter * pi = circumference.
what is the answer? help me
Answers
What is the next term in the following sequence?
54, -18, 6, ...
-2
3
2
-3
Answers
Explanation:
You divide by -3each time
54/-3 = -18
-18/-3 = 6
6/-3 = -2
For a school fundraiser Paul bought a big box of ducks and wrote prize amounts, in dollars on the bottom of each rubber duck. The prize amounts were $5, $10, $20, $50, and$100. The number of ducks with each prize amount varied so that the total value for all the ducks with each prize amount was always $500. Paul then put all of the rubber ducks in his schools swimming pool. At the fundraiser participants used a long net to catch a duck from the pool. They won the amount written on the bottom of the duck, and then they threw the duck back into the pool before the next persons turn. Since the ducks were returned to the pool after they were caught the chances of winning any particular amount remained the same. Andrew paid $15 to play the game once. If we assume he randomly selected a duck, what is the probability that Andrew won more money than he paid to play the game?
Answers
Answer:
Redding East Rotary donates 120 holiday baskets every year. ... Frank was $50 proud. ... Please turn in your tickets and money to Bill Evanhoe directly this year. ... The door prize of $20 to San Francisco Deli was won by Carla Barrett. ... The Duck Derby has raised $3,515,000 and if you put all those ducks end to end they ...
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answers
Answer:
no solution
Step-by-step explanation:
Answer:
One solution
Step-by-step explanation:
(1288/1935, 236/387)
HELP PLEASE How do you simplify this expression? (Pls list steps)
-12 ÷ 3 • (-8+(-4)^2 - 6) ÷ 2
Answers
The answer is 4
steps listed above
I really need this answer please help
Answers
Which of the following measures of variability can be used to compare two data sets? Select all that apply.
A.
Mean
B.
Interquartile range
C.
Median
D.
Mean Absolute Deviation (MAD)
E.
Range
Answers
Answer:
B. Interquartile range
E. Range
Step-by-step explanation:
When the variability is to be used for comparing the two data sets so the measures that should be considered is range & interquartile range as it shows the difference also it compared the two different data sets
Therefore option B and E is correct
And, the rest of the options are wrong
Does a triangle with the side lengths exist 11, 28, 16
Answers
Answer:
No; The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Step-by-step explanation:
7. Simplify
(12p27
(2p2q6)
Answers
Answer: 7776p^2q
Step-by-step explanation:
the ratio of red apples to green apples is 2:3 if there are 21 green apples how many red apples are in the basket
Answers
Answer:
49
Brainliest :)
I think it’s 14, because to get to 3 in the ratio you have to divide 21 by 7, so you should multiply the 2 from the ratio by 7, and you end up with the answer of 14
9. Find the distance between (5,8) and (-3, 12).
Answers
Answer:
I beleive its 12 but not a hundred percent sure on what the question is asking.
Step-by-step explanation:
which characteristic of water will allow a paper clip to remain floating on water when the paper clip is gently placed on top of the water
Answers
Answer:
surface tension
Help please, what's the answer?
Answers
Question 7
Exponential functions have a variable degree.
Answer is 3^x + 6.
Question 8
Changing 15.3% to a decimal, we get 0.153.
Answer: Choice (4)
What is the value of y in the following equation? -10y + 4(3y – 8) = -64
Answers
Answer:
y=-16
Step-by-step explanation:
Answer:
y = -16
Step-by-step explanation:
−10y+4(3y−8)=−64
Step 1: Simplify both sides of the equation.
−10y+4(3y−8)=−64
−10y+(4)(3y)+(4)(−8)=−64(Distribute)
−10y+12y+−32=−64
(−10y+12y)+(−32)=−64(Combine Like Terms)
2y+−32=−64
2y−32=−64
Step 2: Add 32 to both sides.
2y−32+32=−64+32
2y=−32
Step 3: Divide both sides by 2.
2y
2
=
−32
2
y=−16
Answer:
y=−16
What is the number?
Help me
Answers
Convert:
150 oz =
Lb
OZ
Answers
Answer:
9.375
Step-by-step explanation:
Answer:
9.375
Step-by-step explanation:
divide the mass value by 16.
150 / 16 = 9.375
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answers
Answer:
C
Step-by-step explanation:
Evolution is where organisms have developed over time from simple to complex. Therefore we can rule out D because older rock layers should have simple organisms and A because new rock layers should have more complex organisms. The previous organisms will be unlike those of today, therefore the correct answer is C.
Am I correct? (Perfect Square Form)
Answers
Answer:
[tex](x -3 )^2 = 10[/tex]
Step-by-step explanation:
Given
[tex]x^2 - 6x - 1 = 0[/tex]
Required: Express as a perfect square
[tex]x^2 - 6x - 1 = 0[/tex]
Add 10 to both sides
[tex]x^2 - 6x - 1 +10= 0+10[/tex]
[tex]x^2 - 6x +9= 10[/tex]
Expand
[tex]x^2 - 3x - 3x+9= 10[/tex]
Factorize:
[tex]x(x - 3) - 3(x - 3)= 10[/tex]
Factorize:
[tex](x -3 )(x - 3) = 10[/tex]
[tex](x -3 )^2 = 10[/tex]