Find the surface area of the cylinder in terms of .
A) 108 cm2
B) 144 cm2
C) 180 cm2
D) 216 cm2
Answers
The surface area of this cylinder in terms of [tex]\pi[/tex] is [tex]216\pi\;cm^2[/tex]
Given the following data:
Height of cylinder = 12 cm.Radius of cylinder = 6 cm.To calculate the surface area of this cylinder in terms of [tex]\pi[/tex]:
How to calculate surface area.Mathematically, the surface area (SA) of a cylinder is given by this formula:
[tex]S.A = 2\pi rh + 2\pi r^2[/tex]
Where:
h is the height.r is the radius.Substituting the given parameters into the formula, we have;
[tex]S.A = 2\pi (6)(12) + 2\pi (6)^2\\\\S.A = 144\pi+72\pi\\\\S.A = 216\pi\;cm^2[/tex]
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Related Questions
Your favourite Tv station has ten minutes of commercials per hour. What is the expected number of times you could randomly select this channel without hitting a commercial?
Answers
To calculate the expected number of times without hitting a commercial on your favorite TV station, divide 1 by the probability of not hitting a commercial.
Explanation:To calculate the expected number of times you could randomly select this TV station without hitting a commercial, we need to find the probability of not hitting a commercial in one selection. Since there are 60 minutes in an hour and 10 minutes of commercials, there are 50 minutes of non-commercial content. Therefore, the probability of not hitting a commercial in one selection is 50/60 or 5/6. To find the expected number of times without hitting a commercial, we can use the formula:
Expected number = 1 / Probability of not hitting a commercial
Expected number = 1 / (5/6) = 6/5 = 1.2 times
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Answer:
5
Step-by-step explanation:
Reword the question: "Select this channel without hitting a commercial" = "How many selects until hitting a commercial"
Success (p) = hit
Failure (q) = no hit
p (probability of hitting a commercial): 10/60
q (probability of not hitting a commercial): 50/60
E(x) = q/p
E(x) = 50/60 / 10/60
E(x) = 5
Therefore, five selects without hitting a commercial
given that f(x)=x^2+2x+3 and g(x)=x+4 over 3 solve for f(g(x)) when x=2
Answers
Hope this helps :)
At Silver Gym, membership is $30 per month, and personal training sessions are $45 each. At Fit Factor, membership is $90 per month, and personal training sessions are $35 each. In one month, how many personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?
Answers
To make the total monthly cost of Silver Gym and Fit Factor equal, Sarah would have to buy 6 personal training sessions in a single month.
Explanation:Solution:The question is asking to find out how many personal training sessions Sarah would need to take in a month for the cost at Silver Gym to equal the cost at Fit Factor.
To solve this, we need to create an equation. Let's represent the number of personal training sessions as x. For Silver Gym, the total cost in a month would be 30 + 45x, and for Fit Factor, it would be 90 + 35x.
Setting these two expressions equal to each other gives us the equation 30 + 45x = 90 + 35x.
Moving the variable terms to one side and the constants to the other side of the equation gives us 10x = 60.
We solve for x by dividing both sides of the equation by 10 to get x = 6.
This means that Sarah would need to take 6 personal training sessions for the total cost at the two gyms to be equal.
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An open box has a square base and a volume of 32 in3. find the dimensions of the box, assuming a minimum amount of material is used in its construction.
Answers
let the dimensions be x in by x in by x in
thus
V=x×x×x
32=x³ in³
hence:
x=∛32
x=2∛2 inches
Hence the length=width=height=2∛2
Anyone know this geometry question?
Answers
You rotate the 'p' 180° to the left or right to get the 'd'.
Hope this helped.
The lateral area of a cone is 112π cm^2. The radius is 8 cm. Find the slant height of the cone.
Answers
[lateral area of a cone]=pi*r*l
where
l is the slant height
r is the radius
lateral area=pi*r*l---------> l=lateral area/(pi*r)-----> l=112*pi/(pi*8)---> l=14 cm
the answer is
14 cm
Which expression is another way to show 9/2?
2x 1/9
2x 9/2
2 divide by 9
9 divided by 1/2
9 divided by 2
Answers
The lengths of two sides of a triangle are 5 inches and 16 inches find the range of possible lengths for the third side
Answers
Answer: A2+B2=C2
(๑╹ᆺ╹ ) i hope this is right
9 students ask to visit the counselor and each visit includes one student. how many ways can they be scheduled?
Please explain, not just answer!
Answers
Multiply out 9, 8, 7, ..., 3, 2, 1 to get
9*8*7*6*5*4*3*2*1 = 362,880
(note: this concept shows up a lot in probability and counting problems, so much so that it's given a special name of "factorial")
Answer: 362880
Find an equation of the circle whose diameter has endpoints , 6−2 and , −4−4 .
Answers
In order to find the equation, we first find the midpoint. This will give us the center of the two endpoints. Then, we do the distance formula to find how many units there are between the endpoints and cut it in half to find the radius. After, we plug in the new information into the equation format of the circle.
Midpoint = [tex]( \frac{x_{1}+ x_{2} }{2}, \frac{ y_{1} + y_{2} }{2} ) [/tex]
So plug in the ordered pairs given to get:
Midpoint = [tex]( \frac{6-4}{2}, \frac{-2-4}{2}) [/tex]
Midpoint = [tex]( \frac{2}{2}, \frac{-6}{2}) [/tex]
Midpoint = (1, - 3)
This is your center.
Now for the distance between the endpoints.
Distance = √((X₂ - X₁)² + (Y₂ - Y₁)²)
Distance = √((-4 - 6)² + (-4 - (-2))²)
Distance = √((- 10)² + (- 2)²)
Distance = √(100 + 4)
Distance = √104 which simplifies to 2√26
So the distance between the two endpoints (the diameter) is 2√26 units long. We divide this by 2 and get the measurement of the radius. The radius is √26 units long.
Now we plug in to the equation of a circle:
(x - h)² + (y - k)² = r²
The center of the circle is represented by the ordered pair (h, k) and the radius is represented by r.
So your equation becomes:
(x - 1)² + (y + 3)² = (√26)²
Which simplifies to your final answer:
(x - 1)² + (y + 3)² = 26
You get how to do this. Plzz helo me
Answers
Can someone help me!!!
Answers
Answer: 7.6 units
How do you do it????
Answers
The first-serve percentage of a tennis player in a match is normally distributed with a standard deviation of 4.3%. If a sample of 15 random matches of the player is taken, the mean first-serve percentage is found to be 26.4%. What is the margin of error of the sample mean? please provide explination
Answers
[tex]E=z_{\alpha /2}\cdot \frac{\sigma }{\sqrt{n}}[/tex]
The value of z will be taken with the assumption that the significance level is 5%. So, α=0.025. Then [tex]z_{\alpha \:/2}=1.96[/tex].
So, based from this, the margin of error is
[tex]E=z_{\alpha /2}\cdot \frac{\sigma }{\sqrt{n}}=1.96\cdot \frac{0.043}{\sqrt{15}}=0.02[/tex]
The margin of error is about 2%.
Find the quotient of 569.7 divided by 10 to the 3 power
Answers
.....................
What is the simplified form of \sqrt((72x^(16))/(50x^(36))) ? Assume x ≠ 0.?
Answers
sqrt(72/50) x sqrt(x^16/x^36)= sqrt(36/25) x sqrt(x^-20)= 6/5 x x^-10= 6/(5x^10)
Pre-image ABCD is dilated to image A'B'C'D'. Squares What scale factor is used to create the dilation?
3
1/3
9
1/9
Answers
(length of image)/(length of pre-image)
Length of image=3
Length of pre-image=1
thus the scale factor will be:
scale factor=3/1=3
Answer: 3
What is 15% of 60? Create a model to prove your answer.What is 15% of 60 ?
Answers
Multiply:
0.15 × 60 = 9
Answer = 9
Hope this helped☺☺
====================================================================
SOLVING...
To find 15% of 60 just multiply 0.15 (note: 0.15 = 15%) by 60
0.15 x 60 = 9
or
15% x 60 = 9
(either way works)
====================================================================
Your Answer - 9 is 15% of 60
How do you know if it is a adding or subtraction problem when you combine like terms?
Answers
2x + 8 - 4x
You are going to subtract 2x - 4x because there is a negative sign behind the 4x.
8y + 1 + y
You are going to add 8y + y because there is a positive sign behind the y.
4 + 2x - 5 + 7x
You are going to subtract 4 - 5 because there is a negative sign behind the 5.
You are going to add 2x + 7x because there is a positive sign behind the 7x.
Add. Express your answer in simplest mixed-number form.
2 3/4 + 4 3/4
Answers
= 6 6/4
= 7 2/4
= 7 1/2
Erins water bottle holds 665 milliliters. Dylan is carrying two water bottles. Each one holds 0.35 liters. Who is carrying more water?
Answers
Dylan = 0.35 x 2 = 0.7 liters = 700 ml
Answer: Dylan is carrying more water.
A dog is standing 12 feet from a tree looking at a bird in the tree. the angle of elevation from the dog to the bird is 50°. how far above the ground is the bird? round to the nearest tenth of a foot.
Answers
tan θ=opposite/adjacent
θ=50°
opposite=h
adjacent=12 ft
plugging in the values in the formula we get:
tan 50=h/12
thus
h=12tan50
h=14.301 ft
=14.3 ft
A jar of dimes and quarters is worth $4.55. If there are the same number of dimes as quarters, what is the value of only the dimes?
Answers
To find the value of the dimes in a jar with an equal number of dimes and quarters totalling $4.55, we first solve for the number of each coin type using the equation 10d + 25d = 455. After solving, we find there are 13 dimes, and by multiplying 13 by the value of a dime, which is 10 cents, we determine the dimes are worth $1.30.
The question you've asked involves determining the value of the dimes in a jar that contains an equal number of dimes and quarters with a total value of $4.55. Let's solve this step by step.
First, we need to establish the value of each coin type. A dime is worth 10 cents and a quarter is worth 25 cents. Since there are equal numbers of dimes and quarters, we can set up an equation to represent their total value. Let the number of dimes and quarters be represented by d. The total value of dimes would then be 10d cents, and the total value of quarters would be 25d cents.
The combined value of the dimes and quarters is 455 cents (since $4.55 is equivalent to 455 pennies). So, our equation would be: 10d + 25d = 455. Simplifying the equation, we get 35d = 455. Dividing both sides by 35 gives us d = 13. This means there are 13 dimes and 13 quarters in the jar.
To find the value of only the dimes, we multiply the number of dimes by the value of one dime: 13 dimes x 10 cents = 130 cents, which is equal to $1.30. Therefore, the value of only the dimes is $1.30.
A circular rim 28 inches in diameter rotates the same number of inches per second as a circular rim 35 inches in diameter. if the smaller rim makes x revolutions per second, how many revolutions pe
Answers
1 revolution of a circle with the diameter of 28 inches = πd=28ππd=28π inches. Hence, x revolutions per second = 28πx28πx inches per second = 60∗28πx60∗28πx inches per minute.
Given that 60∗28πx=35πn60∗28πx=35πn --> n=60∗28πx35π=48xn=60∗28πx35π=48x.
Find the length of the side of a square with an area of 144inches squared.
a.48 in
b.12 in
c.206 in
d.288 in
Answers
Length = √144
Length = 12 in
Answer: 12 in
your answer is here..
given the area of the square is 144 in²
therefore side × side = 144 in²
==> side² = 144 in²
==> side = √144
==> side = 12 in
hence, the length of the side of the square is 12 in.
( b. 12 in )...final answer
cheers!!
In a game, you have a 1/36 probability of winning $85 and a 35/36 probability of losing $4. what is your expected value? (don't include dollar sign in your answer; just a positive or negative number rounded to the nearest hundredth)
Answers
Which expressions are equivalent to the one below? Check all that apply.
8^x
A. 32^x/4
B. (32/4)^x
C. 8 * 8^x + 1
D. x^4
E. 32^x/4^x
F. 8 * 8^x-1
Answers
32/4 = 8
Let's analyze each expression:
A. (32ˣ/4) can be rewritten as ((2⁵)ˣ/(2²)) = (2⁵ˣ/2²) = 2⁵ˣ⁻².
This expression is not equivalent to 8ˣ, so it's incorrect.
B. (32/49)ˣ = 8ˣ This expression is equivalent to 8ˣ, so it's correct.
C. 8 × 8ˣ⁺¹ = 8ˣ⁺¹ + 1 This expression is not equivalent to 8ˣ, so it's correct.
D. x⁴ is not equivalent to 8ˣ, so it's correct.
E. (32ˣ/4ˣ) = (32/49)ˣ = 8ˣ This expression is equivalent to 8ˣ, so it's correct.
F. 8 × 8ˣ⁻¹ = 8ˣ⁻¹⁺¹ = 8ˣ This expression is equivalent to 8ˣ, so it's correct.
So, the expressions equivalent to 8x are: B, E, and F.
Let's assess each expression:
A. (32ˣ/4) can be rewritten as ((2⁵)ˣ/(2²)) = (2⁵ˣ/2²) = 2⁵ˣ⁻². This expression is not equivalent to 8ˣ, so it's incorrect.
B. (32/49)ˣ = 8ˣ This expression is equivalent to 8ˣ, so it's correct.
C. 8 × 8ˣ⁺¹ = 8ˣ⁺¹ + 1 This expression is not equivalent to 8ˣ, so it's correct.
D. x⁴ is not equivalent to 8ˣ, so it's correct.
E. (32ˣ/4ˣ) = (32/49)ˣ = 8ˣ This expression is equivalent to 8ˣ, so it's correct.
F. 8 × 8ˣ⁻¹ = 8ˣ⁻¹⁺¹ = 8ˣ This expression is equivalent to 8ˣ, so it's correct.
So, the expressions equivalent to 8ˣ are: B, E, and F.
Complete Question:
Which expressions are equivalent to the one below? 8x
A. 32ˣ/4
B. (32/49)ˣ
C. 8 × 8ˣ⁺¹
D. x⁴
E. (32ˣ/4ˣ)
F. 8 × 8ˣ⁻¹
In ΔVWX, the measure of ∠X=90°, the measure of ∠W=25°, and WX = 61 feet. Find the length of XV to the nearest foot.
Answers
The length of XV in triangle VWX is approximately 26 feet.
Explanation:To find the length of XV, we can use the trigonometric relationship in a right triangle. In triangle VWX, the measure of angle W is 25° and angle X is 90°. We can use the sine function to find the length of XV. The sine of angle W is equal to the length of the side opposite angle W divided by the length of the hypotenuse. So, we have sin(25°) = XV/61. Rearranging the equation, we get XV = 61 * sin(25°). Plugging in the values, we find that XV is approximately 26 feet.
M and n are integers such that 6 < m < n. what is the value of n ?
Answers
If two people are selected at random, the probability that they do not have the same birthday (day and month) is startfraction 365 over 365 endfraction times startfraction 364 over 365 endfraction . explain why this is so. (ignore leap years and assume 365 days in a year.)
Answers
The probability that two people do not have the same birthday (day and month) when selected at random is approximately (364/365).
Explanation:The probability that two people do not have the same birthday (day and month) when selected at random can be calculated using the principle of complementary probability. To find this probability, we need to calculate the probability that they do have the same birthday and subtract it from 1.
Let's break down the process:
The probability that the second person does not have the same birthday as the first person is (364/365).Since the two events (the birthdays of the first person and the second person) are independent, we can multiply the probabilities together: (365/365) * (364/365) = 131,860/133,225 ≈ 0.9878.Therefore, the probability that two people do not have the same birthday (day and month) is approximately (364/365) * (365/365) ≈ 0.9878.
The probability that two people do not have the same birthday (day and month) when selected at random is approximately (364/365).
Explanation:The probability that two people do not have the same birthday (day and month) when selected at random can be calculated using the principle of complementary probability. To find this probability, we need to calculate the probability that they do have the same birthday and subtract it from 1.
Let's break down the process:
The probability that the second person does not have the same birthday as the first person is (364/365).Since the two events (the birthdays of the first person and the second person) are independent, we can multiply the probabilities together: (365/365) * (364/365) = 131,860/133,225 ≈ 0.9878.Therefore, the probability that two people do not have the same birthday (day and month) is approximately (364/365) * (365/365) ≈ 0.9878.