Answers
Answer:
[tex]A=227.84\ inch^2[/tex]
Step-by-step explanation:
Given that,
The diameter of the cylinder, d = 5 inch
Hight, h = 12 m
Radius, r = d/2 = 2.5 m
We need to find the surface area of the cylinder. The formula for the surface area of the cylinder is given by :
[tex]A=2\pi rh+2\pi r^2\\\\A=2\times \dfrac{22}{7} \times 2.5\times 12+2\pi \times 2.5^2\\\\A=227.84\ inch^2[/tex]
So, the lateral surface area of the cylinder is equal to [tex]227.84\ inch^2[/tex].
Related Questions
Suppose the sample space for a probability experiment has 8 elements. If elements from the sample are selected
without replacement, how many different ways can you select all of them?
55
Drive
Remember that "without replacement" means that the items are not returned to the sample space after they are chosen.
Recording
Write your answer in factorial notation.
Answers
Answer:
You can select all of them is 40320 ways.
Step-by-step explanation:
Number of arrangements of n elements:
The number of arrangements of n elements, that is, the number of ways in which n elements can be chosen without replacement, is given by:
[tex]A_{n} = n![/tex]
In this question:
8 elements, so:
[tex]A_{8} = 8! = 40320[/tex]
You can select all of them is 40320 ways.
The height of a triangle is 7 inches greater than the base. The area of the triangle is 225 square inches. Find the length of the base and the height of the triangle.
Answers
Answer:
Height is 25in
Base is 18in
Step-by-step explanation:
225=[x*(x+7)]/2=[x^2+7x]/2
450=x^2+7x
x^2+7x-450=0
(x+25)(x-18)=0
When a new highway is formed, the smoothness of the surface must be verified. A contractor is making a bid for this job and has a truck with the relevant detector. This detector must meet minimum standards for detecting irregularities in the road surface. If there is a roadway irregularity, there is a probability of 0.99 the detector will detect it. If there is no irregularity, there is a 0.06 probability detector will identify it as irregular (a false positive). It is known through experience that 3 miles out of 100 miles actually contain irregularities.
a. What is the probability the detector will identify a random mile of roadway as irregular? Give your answer to four decimal places.
b. Given a randomly selected miles has been identified as irregular by the detector, what is the probability it actually is irregular? Give your answer to four decimal places.
Answers
Answer:
a) 0.0879 = 8.79% probability the detector will identify a random mile of roadway as irregular.
b) 0.3379 = 33.79% probability it actually is irregular
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
a. What is the probability the detector will identify a random mile of roadway as irregular?
99% of 3%(it is irregular).
6% of 97%(false positive). So
[tex]p = 0.99*0.03 + 0.06*0.97 = 0.0879[/tex]
0.0879 = 8.79% probability the detector will identify a random mile of roadway as irregular.
b. Given a randomly selected miles has been identified as irregular by the detector, what is the probability it actually is irregular? Give your answer to four decimal places.
Conditional probability:
Event A: Identified as irregular
Event B: It is irregular.
0.0879 = 8.79% probability the detector will identify a random mile of roadway as irregular, which means that [tex]P(A) = 0.0879[/tex]
99% of 3% arre irregulars identified as, which means that [tex]P(A \cap B) = 0.03*0.99 = 0.0297[/tex]
The desired probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0297}{0.0879} = 0.3379[/tex]
0.3379 = 33.79% probability it actually is irregular
PLEASE HELP ILL MARK BRAINLIST The drama club is going on a trip to Brenau University's theatre. The trip costs each member $65. Included in that price is $10 for the cost of renting a charter bus and the cost of 2 plays. Each play costs the same price.
Write an equation representing the cost of the trip for each member. Let x represent the cost of each play.
Determine the price of one play. Solve your equation by showing your work and steps. (10 points)
Answers
9514 404 393
Answer:
65 = 10 + 2x . . . equation for trip costx = 27.50 . . . cost of playStep-by-step explanation:
We are told that the costs add up this way:
trip cost = bus rental + 2 × (cost of play)
Given that ...
trip cost = $65bus rental = $10cost of play = xThe above equation can be rewritten as ...
65 = 10 + 2x . . . . . . the desired equation
__
Solving for x, we have ...
55 = 2x . . . . subtract 10
27.50 = x . . . . divide by 2
The cost of one play is $27.50.
What is the value of the digit 4 in 149,832?
Answers
Answer:
40,000
Step-by-step explanation:
Answer:
It would be 40,000
Explanation:
It is in the ten thousands digit.
Find the surface area of the prism , need help and steps fast please!!
Answers
Answer:
190cm squared
Step-by-step explanation:
The surface area formula and a surface area calculator both gave this answer. Hope you do good on your assignment.
What is the probability of rolling a 2 or a 3 on a regular fair die
Answers
Answer:
The possibility of rolling a
3
on a fair die and getting tails on a coil is
1
12
. Based on this probability, there are
12
possible outcomes. As only 1 out of 12 possiblities would get this outcome, it is not a likely outcome.
Step-by-step explanation:
The probability of rolling a
3
on a fair die is
1
6
because there is only one
3
out of
6
numbers. The probability of getting tails on a coin is
1
2
because there are
2
possibilities and tails is one of them. To get the probability of rolling a
3
on a fair die and getting tails on a coil, we multiply their probabilities:
1
6
⋅
1
2
=
1
12
There are
12
possiblities because for each of the
6
possibilites for rolling a die, there are
2
possibilites for flipping a coin.
someone please help me with this please
Answers
Hi there!
[tex]\large\boxed{P = 22 cm}[/tex]
To find the perimeter, we must find the length of the rectangle.
We know the area is 24, thus:
A = l × w
24 = l × 3
24/3 = l = 8 cm
Find the perimeter using the formula:
P = 2l + 2w
Plug in the solved length and width:
P = 2(8) + 2(3) = 16 + 6 = 22 cm.
In triangle ABC, the measure of angle B is 50 degrees.
Give possible values for the measures of angles A and C if ABC is an acute triangle.
Answers
1
An expression is shown below.
75-33 • 17 - 10
What value is equivalent to this expression?
A 156
B.
48
C 144
D-6
Answers
470 patrons showed up at the opening of a new movie. 20 patrons were turned away as the cinema with 18 rows of seats was filled to capacity. What was the average number of patrons in each row? Then management then arranges the seating area for the same capacity but in 15 rows instead. How many patrons will one row hold?
Answers
9514 1404 393
Answer:
25 seats per row in 18 rows30 seats per row in 15 rowsStep-by-step explanation:
The total number of seats is 470 -20 = 450.
The number of seats in a row is found by dividing seats by rows.
In 18 rows
450 seats/(18 rows) = 25 seats/row
In 15 rows
450 seats/(15 rows) = 30 seats/row
Answer:
Required Answer :-The total number of seats in the movie = 470 - 20 = 450
When 18 rows
450/18
25 patron
When 15 rows
450/15
30 patron
[tex] \\ \\ [/tex]
7000×3
help me plssßsssssssssssssssss
Answers
Answer: 21000
its 21000 hope this helps have a good rest of day/night :D <3
Step-by-step explanation:
Express -36/78 as a rational number with numerator 6:
Answers
Answer:
6/9
Step-by-step explanation:
Answer:
6/9 I think that's the answer
In 2015, the population of the United States was about 320 million people. About 7 out of 10 Americans live in urban areas. How many Americans live in or near large cities? 224 million 32 million 96 million 10 million
plz I need help fast
Answers
7/10 of 320,000,000 is 224,000,000
I WILL GIVE BRAINLIEST!!! In ABC, m∠A=10 and m∠B=145. Select the triangles that are similar to ABC.
Answers
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]\triangle ABC[/tex]
[tex]\angle A = 10[/tex]
[tex]\angle B = 145[/tex]
Required
Similar [tex]\triangle[/tex] to [tex]\triangle ABC[/tex]
The question is incomplete as the other triangles to make comparison from, are not given.
However, general information that could help you are as follows.
The given parameters show that we have to consider AA criterion for selecting similar triangles.
So, you need to check the [missing] given triangles, and pick any that have 10 and 145 (in that particular order) as measures of two of its angles.
Take for instance.
[tex]\triangle DE\ F[/tex]
Where
[tex]\angle D = 10[/tex]
[tex]\angle E = 145[/tex]
See that:
[tex]\angle D = 10[/tex] is similar to [tex]\angle A = 10[/tex]
[tex]\angle E = 145[/tex] is similar to [tex]\angle B = 145[/tex]
This means that:
[tex]\triangle DE\ F[/tex] is similar to [tex]\triangle ABC[/tex] by AA
Answer:
The answer is the 10 degrees on and 25 degreees
Step-by-step explanation:
AP EX
Look at this triangle.
B
8 cm
A А
22 cm
С
Work out length AB.
Answers
Answer:
AB=23.40cm
Step-by-step explanation:
(AB)²=(AB)²+(BC)²
(AB)²=22×22+8×8
=484+64
(AB)²=548
AB=23.40 cm
hope it helps...
have a great day!!
Pregunta 6
Compound X is made up of two parts A and one part B. The mass of compound X is 45, and A has twice the mass of B. Which two equations would you solve to find the individual masses of A and B?
Answers
Answer:
[tex]A = 2B[/tex]
[tex]A + B = 25[/tex]
Step-by-step explanation:
Given
The first statement implies that:
[tex]X = A + B[/tex] i.e the components of X
Reading further, we have:
[tex]X = 45[/tex] ---- The mass of X
[tex]A = 2B[/tex] --- The relationship between [tex]A\ and\ B[/tex]
Required
Two equations to represent the scenario
The two equations are:
[tex]A = 2B[/tex] --- The relationship between [tex]A\ and\ B[/tex]
[tex]X = A + B[/tex] i.e the components of X
Substitute 25 for X in the second equation
[tex]25 = A + B[/tex]
[tex]A + B = 25[/tex]
So, the equations are:
[tex]A = 2B[/tex]
[tex]A + B = 25[/tex]
can you guys. guy's. Help me pls
Answers
Answer:
J) [tex]\frac{17}{24}[/tex]
Step-by-step explanation:
[tex]\frac{3}{8} +\frac{1}{3} \\\\\frac{9}{24} +\frac{8}{24} = \frac{17}{24}[/tex]
Find the common denominator ^^
Answer:
17/24
Step-by-step explanation:
3/8× 3/3=9/24
1/3×8/8=8/24
8/24 +9/24= 17/24
I need help!! thnaks
Answers
Answer:
7a + 2b
Step-by-step explanation:
Given
4a + 3b + 3a - b ← collect like terms
4a + 3a + 3b - b
= 7a + 2b
Find the value of x in the triangle shown below.
a.164
b.2
c.6
d.80
Answers
Answer:
[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex]
by using Pythagoras law:
h²=p²+b²
10²=z²+8²
z²=100-64
z=√36=6
z=6 units.
The new floor in the school cafeteria is
going to be constructed of square tiles that
are either gray or white and in the pattern
that appears below. What is the ratio of
Answers
Answer:
Step-by-step explanation:
18 tiles and 10 shaded in
PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!
Camille is saving for a laptop that costs about $850. To model her savings plan and determine how many more months it will take her to reach her goal, she recently created this equation, where y represents the total amount saved and x represents the number of months. Which statement about her work is true?'
A. Camille used the associative property in step 3.
B. Camille used the multiplication property of equality in step 4.
C. Camille used the subtraction property of equality in step 5.
D. Camille used the substitution property in step 6.
Answers
1 If it takes 48 hour to leak 8 liter water how many hour does it take to leak 15 liter water ? Show your steps .
2.If 7 kg potato is 140 $ how much kg can 340 $ buy ? Show your steps.
3.What is ratio.
Answers
Answer:
answer is 90 hr for question 1
Step-by-step explanation
48 hr 8 liter
? 15 liter
so what ur going to do is u criss-cross when u do u multipy 48 with 15 and 8 with "?" when u multiply 48 with 15 u get 720 and when you multiply 8 with "?" u get 8?
so it will look like this
720= 8?
let make "?" an "x" for a better understanding. so the reason we are making it an "x" is because we dont know the amount of hr it takes for 15 liters of water to leak.
let go back to the calculation.
so it will look something like this
720 = 8x
exactly the same thing but we made "?" an"x"
so now we divide both sides with 8. why? because we need "x" alone and want 8 to disappear
so when u divide both sides with 8 it will look something like this
780/8 =x
so when u divide 780 with 8 u get 90. so what does that mean? it means it takes 90 hr for 15 liters of water to leak.
do you understand?
express 350 as a product of prime factors.
step by step explanation
Answers
Answer:
not a prime factor
Step-by-step explanation:
The bell on the clock tower rings every 15 minutes. If the bell has rung 24 times, how many minutes have passed?
Amber chose A. How did she get that answer?
Answers
Work:
Bell rings every 15 min
It ringed 24 times
15 min x 24 = 360min = 15 days
Please answer
On the last page of her spiral
she found a note that tells
her to multiply the number
of
pages she has filled by 17.
The note also tells her to
take her answer to the
school office
to pick up a prize if the
answer is correct. What is
the correct answer?
A 2,432
B 1,240
C 2,346
D 2,436
Answers
Answer:
the correct answer is 2,432
Krissi has $14 in the bank and earns $8 a day. John has 35$ and earns $5 a day when will krissi have more money?
Answers
Answer: 8 days
Step-by-step explanation:
K=14+8x
J=35+5x
when K=J they will have the same amount
14+8x=35+5x
8x=21+5x
3x=21
x=7 days until they have the same amount- 8 days until she has more
Hurry I need help
The bill for Jacoby's
breakfast at a Nashville restaurant is $9. He wants to leave a 20% tip. How much should the tip
be?
Answers
Answer:
Step-by-step explanation:
9x0.2= 1.80
the tip is 1.80
hope that helped!<3
Answer:
He should leave a $1.80 tip because 20% of nine is 1.8
Carlos worked at a farmer's market on 4 summer weekends. He worked 5 hours on Saturdays and 4 hours on Sundays. How many hours did Carlos work in all at the farmer's market?
Answers
Answer:
36
Step-by-step explanation:
5x4=20
4×4=16
16+20=36
(12+9i)+(10+25i)
Simplify?
Answers
Answer:
22+34i
Step-by-step explanation:
Brainliest?
Answer:
22+34i
Step-by-step explanation:
(12+9i)+(10+25i)
12+9i+10+25i
12+10+9i+25i
22+34i