Answer:
a. Ratio of their circumference = 2:3
b. The ratio of their surface areas = 2:3
c. The ratio of their volume = 4:9
Step-by-step explanation:
Let the cylinders be labelled as A and B respectively.
Diameter of cylinder A = 6 in,
its radius = [tex]\frac{diameter}{2}[/tex]
= [tex]\frac{6}{2}[/tex] = 3 in
Diameter of cylinder B = 9 in,
its radius = [tex]\frac{diameter}{2}[/tex]
= [tex]\frac{9}{2}[/tex] = 4.5 in
Thus,
a. circumference of a circle = 2[tex]\pi[/tex]r
Circumference of cylinder A = 2[tex]\pi[/tex]r
= 2 x [tex]\pi[/tex] x 3
= 6[tex]\pi[/tex] in
Circumference of cylinder B = 2[tex]\pi[/tex]r
= 2 x [tex]\pi[/tex] x 4.5
= 9[tex]\pi[/tex]
Ratio of their circumference = [tex]\frac{circumference of cylinder A}{circumference of cylinder B}[/tex]
= [tex]\frac{6\pi }{9\pi }[/tex]
= 2:3
b. The surface area of a cylinder = 2[tex]\pi[/tex]rh
the surface area of cylinder A = 2[tex]\pi[/tex]rh
= 6[tex]\pi[/tex]h
the surface area of cylinder B = 2[tex]\pi[/tex]rh
= 9[tex]\pi[/tex]h
The ratio of their surface areas = [tex]\frac{surface area of cylinder A}{surface area of cylinder B}[/tex]
= [tex]\frac{6\pi h}{9\pi h}[/tex]
= 2:3
c. Volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h
volume of cylinder A = [tex]\pi[/tex][tex]r^{2}[/tex]h
= [tex]\pi[/tex] x [tex]3^{2}[/tex] x h
= 9[tex]\pi[/tex]h
volume of cylinder b = [tex]\pi[/tex][tex]r^{2}[/tex]h
= [tex]\pi[/tex] x [tex]4.5^{2}[/tex] x h
= 20.25[tex]\pi[/tex]h
The ratio of their volume = [tex]\frac{volume of cylinder A}{volume of cylinder B}[/tex]
= [tex]\frac{9\pi h}{20.25\pi h}[/tex]
= 4:9
d=6in,9in
r=3in,4.5in
circumference:-
[tex]\\ \sf\longmapsto \dfrac{2\pi r_1}{2\pi r_2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{6\pi}{9\pi}[/tex]
[tex]\\ \sf\longmapsto \dfrac{2}{3}[/tex]
[tex]\\ \sf\longmapsto 2:3[/tex]
LSA:-
[tex]\\ \sf\longmapsto \dfrac{2\pi r_1h}{2\pi r_2h}[/tex]
[tex]\\ \sf\longmapsto \dfrac{6}{9}[/tex]
[tex]\\ \sf\longmapsto \dfrac{2}{3}[/tex]
[tex]\\ \sf\longmapsto 2:3[/tex]
TSA
[tex]\\ \sf\longmapsto \dfrac{2\pi r_1(h+r_1)}{2\pi r_2(h+r_2)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{6(h+6)}{9(h+9)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{6h+36}{9h+81}[/tex]
[tex]\\ \sf\longmapsto \dfrac{h(6+36)}{h(9+81)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{42}{90}[/tex]
[tex]\\ \sf\longmapsto \dfrac{7}{15}[/tex]
[tex]\\ \sf\longmapsto 7:15[/tex]
Volume:-
[tex]\\ \sf\longmapsto \dfrac{\pi r_1^2h}{\pi r_2^2h}[/tex]
[tex]\\ \sf\longmapsto \dfrac{3^2}{4.5^2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{9}{20.25}[/tex]
[tex]\\ \sf\longmapsto 4:9[/tex]
9.
A. 7
B. 15
C. 12
D
Answer: d=20?
Step-by-step explanation:
X + (x+1) + (x+2) = -21
Answer:
x= - 8
Step-by-step explanation: Are you solving for X if so here is the answer
24. Reconsider the sample observations on stabilized viscosity of asphalt specimens introduced in Exercise 43 in Chapter 1 (2781, 2900, 3013, 2856, and 2888). Suppose that for a particular application, it is required that true average viscosity be 3000. Does this requirement appear to have been satisfied? State and test the appropriate hypotheses.
Answer:
heyy!! I can't attach my answer here does someone know how to attach images?
Step-by-step explanation:
Please help :) I'm confused on this question.
Which expression is equal to x + (f+g)? (1 point)
Answer:
x + f(x) + g(x)
Step-by-step explanation:
(f+g) = f(x) + g(x)
Therefore, x + (f+g) = x + f(x) + g(x)
If you are given equations to go with f(x) and g(x), you would plug in those equations to the above expression then combine like terms to find the fully simplified expression equal to x + (f+g).
Muriel says she has written a system of two linear
equations that has an infinite number of solutions. One
of the equations of the system is 3y = 2x - 9. Which
could be the other equation?
Answer:
The other equation could be: 6y = 4x - 18
Step-by-step explanation:
System with infinite number of solutions:
A linear system has an infinite number of solutions when one equation is a multiple of another.
One of the equations of the system is 3y = 2x - 9. Which could be the other equation?
A multiple of 3y = 2x - 9
Multiplying by 2, the other equation could be: 6y = 4x - 18
Answer:
B: y=2/3 x -3
Step-by-step explanation:
I got it right on Edge
Can you guys help with this?
Answer:
Step-by-step explanation:
refer to the image thank you
Answer:
C I think
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
The length of a rectangular box is 1 inch more than twice the height of the box, and the width is 3 inches more than the height. If the volume of the box is 252 cubic inches, find the dimensions of the box. length in width in height in
Answer:
height be 4 in
length be 9 in
ANd, the width be 7 in
Step-by-step explanation:
Let us assume the height of the box be x
So the length would be 2x + 1
And, the width be x + 3
As we know that
The volume of the rectangular box = length × width × height
252 = (2x + 1) × (x + 3) × (x)
252 = (2x^2 + x) × (x + 3)
252 = 2x^3 + 6x^2 + x^2 + 3x
2x^3 + 7x^2 + 3x = 252
2x^3 + 7x^2 + 3x - 252 = 0
after solving this
x = 4
So height be 4 in
length be 9 in
ANd, the width be 7 in
pls help will mark brainliest
Answer:
80in²
Step-by-step explanation:
Hey There!
So the first step of this problem is to find the width of the scale drawing
To do so we need to find the scale factor
To find the scale factor we divide the length of the room by the length of the scale factor
32/8=4
so the scale factor is 4
now to find the width
40/4=10
so the width of the scale drawing is 10 in
now we can find the area given the length and the width
10x8=80in²
so we can conclude that the area of the scale drawing is 80in²
create a story problem about a fish tank for the tape diagram below. Your story must include a fraction.
Answer:
Step-by-step explanation:
A large aquarium has a length of 84 inches. It is located in a large basement that is properly heated and ventilated. The width should be close to 1/2 the length and the height ought to be 1/6 the length. If the fish tank requires that an aerator be placed every 28 inches along the back edge, how many aerators are needed. Note: an aerator is not placed in either corner.
Width =_________________
Height= ________________
Aerators = ______________
Find the number of cubic inches of the fish tank. If an aerator will provide enough oxygen to aerate 5 cubic feet,, do you have enough aerators for the fish to live comfortably? If the answer is no, then how many aerators do you need?
Match the chart to the type:
1. A chart that monitors the count of objects with a specific characteristic during a time period, or over consistent amount of area.
2. A chart that monitors the within sub-group variation with the range of the subgroups.
3. A chart that monitors the within sub-group variation with the standard deviations of the subgroups.
4. A chart that monitors the proportion of objects from a sample of size n that does, or does not have, a certain characteristic.
5. A chart that monitors the between sub-group averages of a quantitative characteristic.
key:
a. R chart
b. x-"bar"
c. chart
d. s chart
e. z chart
f. t chart
g. f chart
h. c chart
g. p chart
Solution :
1. A chart monitoring the object counts with some specific characteristic during the time period and/or some of consistent amount area -- c. c - chart
2. A chart which monitors the subgroup variations within the range of subgroups -- a. R chart
3. The chart monitoring the variation of within subgroup to that of the standard deviations of the subgroups -- d. s chart
4. The chart which monitors the objects' proportion from the sample size of n which does or does not have any particular characteristics -- g. p chart
5. The chart monitoring the averages between the subgroup of the quantitative characteristic keys -- b. x-"bar" chart
Alexis earns $50 a day for five days this week. Her weekly expenses are $280. How can she balance her budget?
a
increase her income $5 each day
b
increase her income $20 this week
c
decrease her expenses by $30
d
decrease her expenses by $20
Answer:
i think the answer is B
Step-by-step explanation:
The circumference of the equator of a sphere was measured to be 82 82 cm with a possible error of 0.5 0.5 cm. Use linear approximation to estimate the maximum error in the calculated surface area to 4 decimal places.
Answer:
The maximum error in the calculated surface area is approximately 8.3083 square centimeters.
Step-by-step explanation:
The circumference ([tex]s[/tex]), in centimeters, and the surface area ([tex]A_{s}[/tex]), in square centimeters, of a sphere are represented by following formulas:
[tex]A_{s} = 4\pi\cdot r^{2}[/tex] (1)
[tex]s = 2\pi\cdot r[/tex] (2)
Where [tex]r[/tex] is the radius of the sphere, in centimeters.
By applying (2) in (1), we derive this expression:
[tex]A_{s} = 4\pi\cdot \left(\frac{s}{2\pi} \right)^{2}[/tex]
[tex]A_{s} = \frac{s^{2}}{\pi^{2}}[/tex] (3)
By definition of Total Differential, which is equivalent to definition of Linear Approximation in this case, we determine an expression for the maximum error in the calculated surface area ([tex]\Delta A_{s}[/tex]), in square centimeters:
[tex]\Delta A_{s} = \frac{\partial A_{s}}{\partial s} \cdot \Delta s[/tex]
[tex]\Delta A_{s} = \frac{2\cdot s\cdot \Delta s}{\pi^{2}}[/tex] (4)
Where:
[tex]s[/tex] - Measure circumference, in centimeters.
[tex]\Delta s[/tex] - Possible error in circumference, in centimeters.
If we know that [tex]s = 82\,cm[/tex] and [tex]\Delta s = 0.5\,cm[/tex], then the maximum error is:
[tex]\Delta A_{s} \approx 8.3083\,cm^{2}[/tex]
The maximum error in the calculated surface area is approximately 8.3083 square centimeters.
Levi bought 5 pairs of jeans for $127.63. How much would he need to pay for 9 pairs of jeans?
Answer:
$229.73
Step-by-step explanation:
5 Pair of jeans = 127.63
divide by 5 to get 1 pair of jeans.
1 pair of jeans = 25. 526 rounded 25.53
times 9 to get to 9 pair of jeans.
9 pair of jeans = 229. 734 rounded 229.73
Howdy!
I am here with a handful of geometry questions today. Please answer the question based off the image(s) below.
If you are not sure of the answer please leave a comment, DO NOT ANSWER THE QUESTION UNLESS YOU KNOW THE ANSWER. Please don't take me points! Thanks for understanding.
Anyways, please show all of your work and explain your thinking! Thanks!
Answer:
Right square pyramid
Volume:
V = 1/3a²h = 1/3*3²√(4² - (3/2)²) = 11.1 ft³Surface area:
A = a² + 2al = 3² + 2*3*4 = 33 ft²The cost of DVDs will grow at a rate of $1.40 each year. In 2013, a new DVD cost $17.99. Let z be the number of years since 2013.
Which function models the price of a new DVD 2 years after 2013?
O f (z) - 17.99 + 1.0147
O f (2) - 17.99 +1.42
f (x) – 17.99(1.4)
O f(z) – 17.99(1.014)
Answer:
A, because A is the answer(I have my reasons) so A.
You multiply two two-digit numbers and the product is close to 2,600.What two numbers did you multiply?
Step-by-step explanation:
the answer would be 26 and 10 because is you multiply 26×10 your answer will be 2600
Answer:
52 and 50
Step-by-step explanation:
Break it down into smaller numbers in this case 3 numbers.
26 * 10 * 10 = 2600
By multiplicative rule,
we can break 10 into 5 * 2,
giving 26 * 10 * 5 *2,
because multiplication is commutative and associative
group them up as (26 * 2) * (10 * 5) = ( 52 * 50) = 2600
Your local bank offers free checking for accounts with a balance greater than $500. You currently have $357.18 in your account. How much do you need to deposit to avid the month service fee?
Answer: 142.82
Step-by-step explanation:
To be able to avoid the banking fees, you will need to deposit extra
500-357.18=142.82 in your bank account
Factor completely
12n^3 + 15n^2 + 4n + 5
A train is traveling at a constant speed of 105 miles per hour. How many feet does it travel in 3 seconds? Remember that 1
mile is 5280 feet.
Answer:
9240ft per second
(105mi/1hr * 5280ft/1mi * 1hr/60sec)
Step-by-step explanation:
is x(4x^2+8x+12) completely factored? If not how else can it be factored ?
A. Yes the polynomial is completely factored
B. No 4 can be factored from each term of the trinomial and the resulting trinomial can be factored into two binomials.
C.no 4 can be factored from each term of the trinomial
D. No the trinomial 4x^2+8x+12 can be factored into two binomials
No 4 can be factored from each term of the trinomial. Therefore, option C is the correct answer.
What is factorization?The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.
The given polynomial is x(4x²+8x+12).
Here, in the trinomial 4x²+8x+12, 4 is common factor in each term.
So, group and factor out the greatest common factor (GCF), then combine.
That is, 4(x²+2x+3)
Now, x(4x²+8x+12)= 4x(x²+2x+3)
Therefore, option C is the correct answer.
To learn more about the factorization visit:
https://brainly.com/question/26923098
#SPJ2
1. When observing the specimen, in which
part of the microscope will you place it?
A. base
B. stage
C. eyepiece D. inclination joint
Answer:
b. the stage
Step-by-step explanation:
The stage typically has a stage clip on either side to hold the slide firmly in place.
i need help asap!!!!
Answer:
760 inches squared
Step-by-step explanation:
surface area -
4(14 x 10) + 2( 10 x 10) = 560+200=760
I need help with this !
Answer: Try using calculatorsoup dot com Significant Figures auto Don't put m in the answer there's No Unit(s)
a = 12 m
b = 5 m
c = 13 m
P = 30 m
s = 15 m
K = 30 m2
ha = 5 m
hb = 12 m
hc = 4.6153846153846 m
Step-by-step explanation:
Simplify the expression:
6(h + 6) + 1
Answer:
This is your answer
Answer:
6h + 37
Step-by-step explanation:
=> 6(h + 6) + 1
=> 6h + 36 + 1
=> 6h + 37...ans
HOPE IT HELPS U!!!!What two numbers are exactly four units away from 6
Answer:
2 and 10
Step-by-step explanation:
6+4=10, and 6-4=2.
The number four units away from 6 are 2 and 10 and are represented below the number line.
What is a number line?The number line is a straight line containing numbers arranged at equal segments or periods throughout its duration.
A horizontal number line is the most common representation and can be extended infinitely in any direction.
Given that,
Four units away from 6
Four units higher →
6 + 4 = 10
Four units lower →
6 - 4 = 2
In the below number line, it is shown diagrammatically.
Hence "The number four units away from 6 are 2 and 10 and are represented below the number line".
To learn more about the number line,
https://brainly.com/question/13189025
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please help me solve this problem!!
Answer:
here's the link to the answer
Step-by-step explanation:
WWW.math.com/int.etg
What is 5/8 divided by 1/4
001
001
00
100
001
00
001
IN
A
0 1
Answer:
Exact form: 5/2
Decimal form: 2.5
Mixed number form: 2 and 1/2
Step-by-step explanation:
when you divide a fraction you keep, change, flip
Equation: 5/8 ÷ 1/4
keep 5/8 the same
change the divide symbol into a multipulcation symbol
flip 1/4 the other way, so it's 4/1 (it's a whole number now)
then just multiply across
Equation now: 5/8 × 4/1
A triangle has side lengths 4.9cm 7.3cm and 8cm the angle measures are 36 degree 64° and 80°.?
1. Acute scalene
2. Acute isosceles
3. Obtuse isosceles
4. Obtuse scalene
Pls help ASAP because I need it :(