Mathematics High School

Please Hurry, I really need help! A cylinder has a height of 6" and the circumference of its base is 16π".

Find the volume of the cylinder. (P.S There is no picture of the cylinder)

96π cubic inches
192π cubic inches
384π cubic inches

Answers

Answer 1
Volume is pi*r^2*h
Circumference is 2*pi*r
16pi=2pir
r=8
v=pi*8^2*6
v=384pi cubic inches
Answer 2
Hey!

Height of cylinder = 6 inch
Circumference of base = 16 π inch

Volume of cylinder = πr^2h

Radius =?
Circumference of circle = 2πr

2πr= 16π
2r= 16
r= 16/2
r= 8 inch

Volume= π×8×8×6
Volume= 384π cubic inches

Hope it helps...!!!

Related Questions

What is the point called where the perpendicular bisectors of the sides of a triangle intersect

Answers

Answer: Circumcenter

This is the center of the circle that goes through the three vertices of the triangle. This circle is known as the circumcircle. It is the smallest circle possible in which the circle encompasses the triangle and none of the triangle spills outside the circle. 

Anybody have the proper answer to this

Answers

Radius = 11 / 2 = 5.5

A = π * 5.5 * 5.5

A = 30.25 π 

3025 / 100 π mm^2

The radius of the circle is half its diameter.
.. r = d/2
.. r = (11 mm)/2 = (11/2) mm

The area is given by
.. A = π*r^2
.. = π(11/2 mm)^2

.. A = (121/4)π mm^2

what do all similar circles have in common
a) congruent circumference value
b) congruent diameters
c) π

Answers

All the similar circles have π in common.

Thus, option (c) is correct.

When two circles are similar, it means they have the same shape but possibly different sizes.

However, the ratio of their corresponding lengths, including the circumference, remains constant.

Second, the ratio of the diameter will be constant but not congruent.

Third, the value of π is the universal constant whose value is 22/7 or 3.14.....

which is the same for every similar circle.

Thus, π has a common value.

Learn more about Similar here:

https://brainly.com/question/26451866

#SPJ4

What is the perimeter of this equilateral triangle?
Equilateral triangle with one side labeled 13 meters.

Answers

An equilateral triangle has equal sides, so it would be 39.

Classify the number as natural, whole, integer, rational, and/or irrational. Select all terms that are correct. 7√

Answers

i took the test the answer is Irrational i hope this helps :) 
I think It would be irrational. I hope this helps you and others to come out :)

The temperature of a liquid during an experiment can be modeled by the function f(x)=3.8cos(πx20)+2.2 , where f(x) is the temperature in °C and x is the number of minutes into the experiment.

What is the lowest temperature the liquid reached during the experiment?

Answers

we have that 
the function is f(x)=3.8cos(πx20)+2.2

using a graph tool
see the attached figure

the answer is
the lowest temperature the liquid reached during the experiment is -1.6 °C

Fiecare dintre cei 25 de elevi ai clasei a |||-a a realizat un jurnal al luni . Stiind ca pentru fiecare zi s-a folosit o pagina si ca luna are 31 de zile,afla cate pagini au jurnalele tuturor elevilor.

Answers

the question in English
Each of the 25 students in the class has  made a journal on Monday. Knowing that every day a page was used and that the month is 31 days, find out how many pages the logs of all students.

Let
x--------------> total students
y--------------> total days in a month
z--------------> total page used per one student in 1 day
T--------------> total page used per total students in 1 month

we know that
x=25 students
y=31 pages
z=1 page

T=[x]*[y]*[z]------------> T=[25]*[31]*[1]------------> T=775 pages

the answer is 775 pages


the answer in Romanian

lăsa
x--------------> numărul total de elevi
y--------------> total zile într-o lună
z--------------> pagina totală utilizată pentru un student în 1 zi
T--------------> pagina totală utilizată pentru toți elevii în 1 lună
noi stim aia
x=25 elevi
y=31pagini
z=1 pagină

T=[x]*[y]*[z]------------> T=[25]*[31]*[1]------------> T=775 pagini

răspunsul este de 775 de pagini

Trapezoid RSTV∼trapezoid WXYZ .

What is the scale factor of a dilation from RSTV to WXYZ ?

a. 14/25

b. 4/5

c. 7/8

d. 7/10

Answers

Answer:

Correct option is D

Scale factor of dilation is [tex]\frac{7}{10}[/tex]

Step-by-step explanation:

Given the two similar figures

Trapezoid RSTV∼trapezoid WXYZ

We have to scale factor of dilation from RSTV to WXYZ.

As the two trapezoid are similar therefore their ratio of corresponding sides gives the scale factor of dilation.

Hence, [tex]\text{scale factor of dilation is=}\frac{WX}{RS}=\frac{WZ}{RV}[/tex]

i.e  [tex]\frac{28}{40}=\frac{35}{50}=\frac{7}{10}[/tex]

Hence, scale factor of dilation is [tex]\frac{7}{10}[/tex]

Factor ab + bc + b2 + ac.

Answers

ab + bc + b² + ac = 
(b² + bc)+(ab + ac) = 
b(b+ c)+a(b + с) = 
(b + c)(b + a)
(ab + b^2) + (bc + ac). 

{So we can get the terms with the same variables together} 

Factoring out the GCF from each term: 

b(a + b) + c(a + b). 

Then, factoring out a + b yields: 

(a + b)(b + c). 

I hope this helps!

helppppppppppppppppppppppppppppppppppppp

Answers

The expression x²-14x+31=63 is a quadratic equation. To solve it, you must order it:


 x²-14x+31-63=0

 x²-14x-32=0


 Then, you must apply the quadratic formula, which is shown below:


 x=(-b±√(b^2-4ac))/2a


 So you have the values of a,b and c:

:

 a=1

 b=-14

 c=-32


 When you substitute those values in the quadratic formula, you obtain:


 x=(-(-14)±√((-14)^2-4(1)(-32))/2(1)

 x1=-2

 x2=16

 So, the correct option is the third one: x=-2 or x=16

Jermaine did this work to solve an equation. Did he make an error?

Answers

The solution for the below equation is required:

4x + 6 - x = 2x + 3

The work done by the Jermaine is presented below :

4x + 6 - x = 2x + 3

5x + 6 = 2x + 3

Instead of adding 4x with -1x to make it 3x , he added 4x with 1x to make it 5x.

So, the correct option is

Jermaine did make an error. He should have combined 4x and -1x to make 3x

3x + 6 = 2x + 3

Hope it helps..!!

Answer:

Step-by-step explanation:

ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc is th

Michaela uses measuring tape to measure a piece of paper. The measuring tape has an accuracy to the nearest centimeter. She uses her measurements to calculate the area of the piece of paper. Which of the answer choices show the degree of precision she can use to report the area?

Answers

Where are the answer choices?

helpppppppppppppppppp

Answers

The answer is -1

[tex]cot \frac{3π}{4} [/tex] = 1 ÷ [tex]tan \frac{3π}{4} [/tex]

the trig unit circle
[tex]tan \frac{3π}{4} [/tex] = [tex] - tan \frac{π}{4} [/tex]
= -1

Remember,
[tex]cot \frac{3π}{4} [/tex] = 1 ÷ [tex]tan \frac{3π}{4} [/tex]
= 1 ÷ -1
= -1
By definition, Cot(α)=Adjacent leg/Opposite leg

 Then, when you substitute the values, you obtain:

 Cot(3π/4)=-(√2/2)/(√2/2)

 When you simplify the expression, you have the following result:

 Cot(3π/4)=-1

 What is the exact value of Cot(3π/4)?

 The answer is: The exact value of Cot(3π/4) is -1

this is a physics question that requires a lot of math. Hoping on of you genius could help me.

Q: You're driving down the highway late one night at 16m/s when a deer steps onto the road 44m in front of you. Your reaction time before stepping on the brakes is 0.50s , and the maximum deceleration of your car is 10m/s2 .

How much distance is between you and the deer. I solved this =23m

What is the maximum speed you could have and still not hit the deer?

The answer is 25 m/s. A lot of people had stated to use the quadratic formula. I just don't know where to begin.

Answers

I don't know why you need the quadratic formula.  

If it takes 0.5 seconds before stepping on the breaks while going 16 m/s, then you travel 8 meters before anything happens. That means you are 44-8 = 36 meters away from the deer now. 
 v^2 = v_initial^2 + 2(acceleration)(distance)
 0 = (16 m/s)^2 + 2(-10m/s^2)(distance)
 256 m^2/s^2 / (2(10 m/s^2) = distance = 12.8 meters (13 meters after significant figures are taken into account). 
 The maximum speed would be: 
 0 = v_initial^2 + 2(-10m/s^2)(36m)
 v_initial^2 = 720m^2/s^2
 v_initial = 27 mph

13) Suppose a coffee cup has a diameter of 8 cm and a height of 9 cm. What is the volume of the cup? (to nearest whole number)

Answers

A coffee cup is in e shape of cylinder
Radius is 4 cm (half of diameter)
Height = 9 cm
Volume of cylinder = pi x r^2 x h
The answer is 452.16 or can be rounded to 452 cubic cm

Answer:

[tex]452\ cm^{3}[/tex]

Step-by-step explanation:

we know that

the volume of a cylinder (coffe cup) is equal to

[tex]V=\pi r^{2} h[/tex]

we have

[tex]r=8/2=4\ cm[/tex] -----> the radius is half the diameter

[tex]h=9\ cm[/tex]

substitute

[tex]V=\pi (4^{2})(9)=452.4\ cm^{3}[/tex]

Round to the nearest whole number

[tex]452.4\ cm^{3}=452\ cm^{3}[/tex]


Find the 200th term, given the first term and the common difference. A1=34 and d=15

Answers

Try this solution:
1. it is arithmetic progression, where a₁=34 and d=15. Formula for  aₓ is aₓ=a₁+d(x-1);
2. a₂₀₀=34+15*(200-1)=3019.

answer: 3019.
P.S. if it is possible check the arithmetic part.

Select all of the following expressions that are equal to 2.5.
5 ÷ 2
-2(-1.25)
(-0.5)^2
-1 + (-1.5)

Answers

the first one, the second one, the fourth one

answer is
a) 5/2 = 2.5
b) -2(-1.25)

Write an expression to represent: four more than the product of three and a number xxx.

Answers

The number is x

product of 3 and the x = 3x

four more = 3x + 4


Answer:

x-4

Step-by-step explanation:

You asked your classmates to name their favorite type of music. You found that 12 students like rock, 8 like rap, 6 like R&B, and 4 like jazz. Suppose you made a pie chart to display the data. How many degrees of the circle should represent rock music?

Answers

first we should write the total numbers:
12+8+6+4=30
then we should divide the number 30 by 360(because the pie chart is 360 degrees):
[tex]360 \div 30 = 12[/tex]

now we should multiply 12(the number of students who likes rock) by 12
[tex]12 \times 12 = 144[/tex]
the answer is 144 degrees


Solve the system of equations using the linear combination method. {5m+3n=41 {3m−6n=9 Enter your answers in the boxes. m = n =

Answers

These are linear equations that can be solved simultaneously;
5m+3n=41
3m-6n=9   (multiplying the first equation by 3 and the second by 5)

15m+9n=123
15m-30n= 45 (subtracting the two equations)
         39n = 78
             n = 2, 
and for m, 3m = 9+6(2)
                        = 21
                     m = 7
Therefore, n=2 and m=7

Answer:

n=2 m=7

Step-by-step explanation:

What is the answer to this problem?

Answers

Hey there!

To start, an isosceles triangle is any triangle with two sides of the same length. 

In this case, you are given two measurements: 20 and 30.

This means that the third side of the triangle can either be 20 or 30, since two of the sides must equal one another.

Because the question is asking for the greatest possible perimeter of the triangle, it would only make sense that the third side would have to be 30 units in length to make the greatest possible perimeter since it is the possible length that is greatest in value (20 < 30).

Therefore, knowing that the sides of the triangle are now 20, 30, and 30, add the lengths up to find the perimeter:
20+30+30
=80

Therefore, the largest possible value of the perimeter would be 80 units.

Hope this helps and I hope you have a marvelous day! :)

Solve the system of equations. 2.5y + 3x = 27 5x – 2.5y = 5 What equation is the result of adding the two equations? –8x = 328x = 325y + 8x = 328x – 5y = 32 What is the solution to the system? (–4, 6)(–2.75, 8.6)(2.75, 3.5)(4, 6)

Answers

a) The result of adding the two equations is
.. (2.5y +3x) +(5x -2.5y) = (27) +(5)
.. 8x = 32 . . . . . . . . . . . . . . . . . . . . . . . your 2nd selection

b) The solution to the system is (4, 6), your 4th selection.
.. This is the only choice with x=4, the solution to part (a).

Answer:

8x=32

(4,6)

Step-by-step explanation:

Can someone help me?

Answers

There are 1+3 = 4 people from brazil (focus on row2)
There are 4+3+2 = 9 people who scored exactly 85 points (look at column 2)

So there are 4+9 = 13 people who are from brazil or scored exactly 85 points. Subtract out those who fit both criteria. So we'll subtract off 3 people
13-3 = 10

There are 10 people who fit the criteria out of 19 total. The 19 is from adding up all the values in the table.

Divide the two values to get 10/19

Answer: 10/19

in the diagram, the areas of ADC and DCB are in a ratio of 3:4. what are the coordinates of point C

Answers

the complete question in the attached figure

we know that 

dAB=dAC+dCB

dAC=√((8-1)²+(-2+9)²)=√98

Area triangle ADC=dAC*CD/2

Area triangle DCB=dCB*CD/2

 Area triangle ADC/Area triangle DCB=3/4

[dAC*CD/2]/[dCB*CD/2]=3/4

dAC=(3/4)*dCB-----------------------> equation (1)

dAB=dAC+dCB=√98

dAC=√98-dCB------------------------ > equation (2)

 (1)=(2)

(3/4)*dCB=√98-dCB------------------> (7/4)*dCB=√98

dCB=(4/7)√98

dAC=√98-dCB-------- > √98-(4/7)√98-----à (3/7) )√98

dAC=(3/7) )√98

find the slope point A (1.-9) and point B (8,-2)

m=(-2+9)/(8-1)=7/7=1-------------- > 45°

 dAC=(3/7)√98

the component  x of dAC  is 

dACx=(3/7)√98*cos45°=(3/7)√98*√2/2=(3/7)√196=3

the component  y of dAC  is 

dACy=dACx=3

 the coordinates of the point C are

 point A(1.-9)

Cx=Ax+dACx----------> 1+3=4

Cy=Ay+dACy----------> -9+3=-6

 the coordinates  C(4,-6)

 the answer is C(4,-6)











Answer:

C(4,-6) is correct on plato

Step-by-step explanation:

The gum you like to is on sale. it is regularly priced at $1.59. Write and equation that will help determine how much you’ll save if you buy the pack today.
S=sale price
C=cost savings

Answers

c=s-1.59 that should be the answer see ya

the elevation in denver colorado is 13 times greater than that of waikapu, hawaii. the sum of their elevations is 5600 feet. find the elevation of each city

Answers

h1 = waikapu height
h2 = denver height

A) 13 h1 = h2
B) h1 + h2 = 5,600

B) h1 + 13h1 = 5,600
B) 14h1 = 5,600
h1 = Waikapu height = 400 feet

h2 = 5,600 - h1
h2 = 5,600 -400
h2 = Denver height = 5,200


How do you write
2/4
as a percentage?

Answers

you would right 2 fourths in a percentage is 50%
2/4 is 50% your welcome 

Which equation has the graph that is a parabola with a vertex at 5,3

Answers

We can solve this using vertex form of a parabola:
[tex]y=a(x-h)^2+k[/tex]
In our case h=5 and k=3, these are coordinates of our vertex point. 
There is no way to find a without knowing any other coefficients.
When you start solving some equations to get the parameters you always end up with identity (example 25=25). This means that your equation has an infinite number of solutions. In other words, any a will give you a parabola with vertex at the specified point.
The final answer would:
[tex]y=a(x-5)^2+3[/tex]
Where a is any real number.

A ladder is leaning against the side of a building. The building and the ground form a right angle. How high on the building will the ladder touch if the ladder is 10 ft long and the base of the ladder is 6 ft from the base of the building?

Answers

The given question describes a right triangle with the hypotenuse as 10 ft and one of the legs as 6 ft.

We can make use of Pythagoras theorem to evaluate the length of the other side.

We know that by Pythagoras theorem, the square root of the sum of the squares of the legs of a right triangle gives the hypotenuse. Let the length of the required leg be x, then

[tex] x^2+6^2=10^2\\ \\ \Rightarrow x^2=100-36=64\\ \\ \Rightarrow x=\sqrt{64}=8. [/tex]

Therefore, the ladder reached 8 ft high on the building.

Marie earns $96 in interest each year on an investment what is the rate of simple interest if her principal was $800

Answers

[tex]\bf ~~~~~~ \textit{Simple Interest Earned}\\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\to &\$96\\ P=\textit{original amount deposited}\to& \$800\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\to &\stackrel{each~year}{1} \end{cases} \\\\\\ 96=800(r)(1)\implies \cfrac{96}{800}=r \\\\\\ 0.12=r\implies r\%=100\cdot 0.12\implies r=\stackrel{\%}{12}[/tex]

The rate of simple interest that Marie earns on her $800 investment is 12% per year, calculated by dividing the annual interest earned ($96) by the principal amount ($800).

To find the rate of simple interest, we can use the formula Interest = Principal * rate * time. Given that Marie earns $96 in interest each year on an investment and her principal was $800, we can rearrange the formula to solve for the rate.

The formula for simple interest is:

Interest = Principal * rate * time

Assuming the interest earned is for one year, we have:

$96 = $800 * rate * 1 year

To find the rate, we divide both sides by $800:

rate = $96 / $800

rate = 0.12

Converting into a percentage, the simple interest rate is 12% per year.

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Refer to Explorations in Literature for a complete version of this speech.Which statement most accurately describes Frederick Douglass's viewpoint in What to the Slave Is the Fourth of July? about celebrating the Fourth of July?A) He thinks it is a day when all Americans should celebrate their freedoms.B) He believes it is a day when people should celebrate the Declaration of Independence.C) He thinks American slave owners should allow their slaves to celebrate.D) He believes it is wrong to celebrate while slavery still exists in America. What three bodies were part of Virginia's representative government? Pick all that apply.mayorgovernorsheriffcouncilelected representatives from settlements Describe the structure of metal In prokaryotes, functionally related genes are usually clustered in a single operon. what has been found to be the case in eukaryotes? What detail from If You Lived in the Days of the Knights supports the idea that roads were crowded?A.Some travelers stayed at inns when they went to market.B.People on pilgrimages to a holy place sometimes had to travel for a week.C.People who traveled had to worry about dangers such as robbers and wild animals.D.Travelers had to share the road with flocks and herds of animals being walked to market. Samantha works at a nursery where she pots plants. It takes her 1 1/2 hours to pot 12 plants. How many plants can Samantha pot in 1 hour? (Please give me the equation you used.)Please help fast! Which of the following is a way to brainstorm for a cause and effect essay topic A.scanning a newspaperB.choosing an organizational patternC.completing note cards from multiple sourcesD charting cause scans effects When substances go through chemical changes, which of the following will always happen? A. Exactly one new substance will form and one will be destroyed. B. One or more substances with different chemical properties will form. C. One or more substances will be completely destroyed. D. A gas will form or a white solid will precipitate. Which audience is the author trying to reach in this passage from The Dam-nation of a Canyon The line through (8, 0) with slope -3/4 in slope-intercept form the sum of the real numbers x and y is 15. their difference is 3. what is the value of xy? What is the rule to represent the number of tiles in figure x? The yearly profit of a company in thousands of dollars is given by the finction P(x) =3000+1200-6x^2 where x is the amount in thousands the company spneds on advertising. Find the amount ,x, that the company has to spend to maxamize its profit given that (-8,- 7) in on the graph of f(x), find the corresponding point for the fuction f(x -4) APR of a credit card is 28%. You hold a balance of 3000 dollars on your card. How much will you pay in interest that month? Round your answer to the nearest dollar. Which bond in the acetic acid molecule is the most polar? He measure of one angle of an octagon is twice that of the other seven angles. what is the measure of each angle? answer: , The female student picked up her books. In Spanish you would say _____ . describe the analysis of Limbo by Rhonda S. Lucas The manager of professionals accrues most of his or her employee acceptance through ________________.