The top of a 16-ounce can of a drink is three times thicker than the sides and bottom (so that the flip-top opener will work properly), and the can has a volume of 473 cubic centimeters. What should the radius and height of the can be in order to use the least possible amount of metal? [Assume that the entire can is made from a single sheet of metal, with three layers being used for the top.]

Answers

Answer 1
r=3.35cm ; h=13.41 cm

Related Questions

Write an equation for the line in the given form.

slope is 5 and (-4, 8) is on the line; point-slope form

Answers

Answer:

Y =5x + 12

Step-by-step explanation:

You start with

y-8=5x(x+4)

y=5x+ 12


HELP ME
solve for X

Answers

Answer:

203/11x

Step-by-explanation: I am soo very sorry gave you the wrong answer before but going over it I see it is 203/11x

12y=5x-15
4.2y+6.1x=11
Round to the nearest hundredth.
X=
Y=

Answers

Answer:

-15 and 11

Step-by-step explanation:


Given the function: f(x) = 7x + 8.
Find the value of y when x = -6.

Answers

Answer:

-34

Step-by-step explanation:

7x + 8

7(-6)+8

-42+8

-34

Have a beautiful day!   v(⌒o⌒)v

f(x)=7x+8; x=-6
f(-6)=7(-6)+8
f(-6)=-34

How many of you guys think Into The Night by Bath & Body Works smells like men's cologne?​

Answers

Answer:

It smells soooo good, I love it, but sadly i am not allowed to get it XD

Step-by-step explanation:

Answer:

KIND OF BUT THE BEST ONE IS WARM VANILLA SUGAR AND GLOW I THINK AND VELVET SUGAR I HOOKED YOU UP

Step-by-step explanation:

A bell tower that is 60 yards tall casts a shadow 32 yards long. If a nearby windmill is
45 yards tall, how long will the windmill's shadow be?
Write your answer as a whole number or a decimal. Do not round.

Answers

Answer:

24 yards long

Step-by-step explanation:

60/32 = 45/x

Cross Multiply:

60x = 1440

Divide both sides by 60.

x = 24 yards

Refer to the system of linear equations shown below. Which of the following statements gives the best choice for multiplying to solve this system using the elimination method? 3x−6y=4 6x+11y=−2

I NEED IT URGENtLY

Answers

Answer: I just took the test and the answer is Student should show that the solution to the system of equations 7x - y = 4 and 2x - 3y = 1 is the same as the solution to the given system of equations.

Step-by-step explanation:

The solution for the given system of linear equations is (32/69, -10/23).

The given system of equations are 3x-6y=4 and 6x+11y=-2.

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Here,

3x-6y=4 ---------(I) and 6x+11y=-2 ---------(II)

Multiply equation (I) by 2, we get

6x-12y=8 ---------(III)

Subtract equation (III) from (II), we get

6x+11y-(6x-12y)=-2-8

⇒ 23y=-10

⇒ y=-10/23

Substitute y=-10/23 in (I), we get

3x-6(-10/23)=4

⇒ 3x+60/23=4

⇒ 3x=4-60/23

⇒ x=32/69

So, solution is (32/69, -10/23)

Therefore, the solution for the given system of linear equations is (32/69, -10/23).

To learn more about the linear system of an equations visit:

https://brainly.com/question/27664510.

#SPJ2

A rectangle has an area of 20 square centimeters. Which of the following could be the rectangle’s length and width?

Answers

Answer:

You did not give any options

Step-by-step explanation:

But 20 and 1 or 4 and 5 or 2 and 10 could possibly be the rectangle's length and width.

All but the first answer choice could be the length and width of a rectangle.

What is the area of the rectangle?

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

A rectangle has an area of 20 square centimeters.

WE know that The area of the rectangle = length × Width

3 cm and 8 cm = 24 cm^2

This cannot be area of the given reactangle.  

1 cm and 20 cm = 20 cm^2.  

This is the area of the given reactangle.  

2 cm and 10 cm => 20 cm^2

This is the area of the given reactangle.  

4 cm and 5 cm  => 20 cm^2.  

This is the area of the given reactangle.  

All but the first answer choice could be the length and width of a rectangle.

The complete question is

Which of the following could be the rectangle’s length and width?

1. 3 cm and 8 cm = 24 cm^2

2. 1 cm and 20 cm = 20 cm^2.  

3. 2 cm and 10 cm => 20 cm^2

4. 4 cm and 5 cm  => 20 cm^2.  

Learn more about the area;

https://brainly.com/question/1658516

#SPJ2

An NBA Basketball Court is a RECTANGLE that is 94 FEET long and 50 FEET wide. What is the AREA of the Court ? What is the PERIMETER of the Court?

Answers

Answer:

perimeter: 288 feet

area: 4700 feet

Step-by-step explanation:

explanation if wanted

Answer:

perimeter: 288 feet

area: 4700 feet

Step-by-step explanation:

A student is trying to find the density of a cube each side of the cube measures 4 cm and the mass is 503.68 g. Calculate the density.

Answers

Answer:

density = mass ÷ volume

v = 4 × 4 ×4 = 64

density = 503 .68 g ÷ 64 cm³

density = 7.87 g/cm³

Solve for theta (in degrees)

A = 11 , B = 23

Answers

Answer:

25.559 degrees truncated

Step-by-step explanation:

There are many ways of solving this problem. The way I went about doing it was taking the inverse tangent of 11/23, to get 25.559 degrees.  

Write in expanded form.​

Answers

Answer:

a²*b² /c*d

Step-by-step explanation:

Cost of Apples
1 pound of apple is $1.88
if this is a proportional relationship, write an equation relating the weight of the apples (a) to cost (c). If it is not a proportional relationship?

Answers

Answer:

Before 1845, “states were allowed to hold elections any time they pleased within a 34-day period before the first Wednesday in December.” What was one effect of this election system?

Voters in states with late elections knew the results of early elections.

Farmers were often unable to get to their polling place in time to vote.

The people who voted first could decide the outcome of most elections.

People spent less time in church because they would often travel to vote on Sundays.

Step-by-step explanation:

Plzzz help its due by 12

Answers

Answer:

THE MAN WHO PUT SOAP IN HIS SOUP SO HE COULD WASH IT DOWN WITH SOMETHING

Step-by-step explanation:

Answer:

me think me made girl mad on brainly

Step-by-step explanation:

If you can’t see it , it says ... Bella Amman is a sales consultant. She travels all over the country selling her company’s products. Her total monthly expenses for June , July, and August were $4,356.01 , $9,011.20 , and $8,780.00 . What was her average monthly expenditure?
A. $7,382.40
B. $6,565.00
C. $8,090.25
D. $22,147.21

Answers

Answer:

A.) $7832.40

Step-by-step explanation:

9,011.20+8,780.00+4,356.01

=22,147.21/3

=7382.40

Solve each system by graphing or using a table. Check your answers.
2x+y=−1
−x−2y=−4

Answers

Answer:

Step-by-step explanation:

Answer:

The first one: y = 2x - 1

The second one: y = 1/2x + 2

And if the second one is wrong, then it's y = x + 2.

Simplify 4(2x-3) 7th grade math

Answers

Answer:

8x-12

Step-by-step explanation:

Answer:

8x-12

Step-by-step explanation:

[tex]4(2x-3)[/tex]

Expand

[tex]4\times 2x = 8x\\\\4\times(-3)=-12\\\\8x-12[/tex]

What is 1 2/3 equal to
What is 6 3/4 equal to
What is -9 7/3 equal to
What is 4 2/7 equal too

Answers

Answer:

1 2/3 = 5/3

6 3/4 = 27/4

-9 7/3 = -34/3

4 2/7 = 30/7

Step-by-step explanation:

3.8:(4c+3)=2: 2 2/19
what is c
will give brainiest pls help quick

Answers

Answer:

the answer will be be 0.25 for decimal but for a fraction it would be 1/4

Answer:

0.25 is the answer :D

Find the gradient of the line perpendicular to AB
Find the equation of the line perpendicular to AB and passing through point C

Answers

Answer:

a) 3

b) y=3(x-2)-2

Step-by-step explanation:

a)

Step 1: Find the gradient/slope of AB

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]=[tex]\frac{-2-2}{7-(-5)} =\frac{-4}{12} =-\frac{1}{3}[/tex]

Step 2: Find the gradient/slope of the line perpendicular to AB

The slope of the line perpendicular to AB is the reciprocal of the slope of the line AB multiplied by -1, so the slope of the line perpendicular to AB is 3.

b)

Step 1: Find the formula for the equation of a line

If you have a point and the slope, you can use the point-slope form, which is y-y1=m(x-x1).

Step 2: Plug in values to the formula

y-(-2)=3(x-2)

Step 3: Simplify

y+2=3(x-2)

y=3(x-2)-2

[tex]$a)$[/tex] The gradient of a line perpendicular to line [tex]$AB$[/tex] is [tex]$3$[/tex].

[tex]$b)$[/tex] The equation of the line perpendicular to line [tex]$AB$[/tex] and passing through point [tex]$C$[/tex] is [tex]y=-\frac{1}{3}x+\frac{13}{3}[/tex].

What is slope of perpendicular lines?

Lines that are perpendicular lines have slopes that are negative reciprocals.

It is given that the points,

[tex]$A=\left( -5,2 \right)$[/tex]

[tex]$B=\left( 7,-2 \right)$[/tex]

[tex]$C=\left( -2,5 \right)$[/tex]

[tex]$a)$[/tex] We will find the gradient of a line perpendicular to line [tex]$AB$[/tex] by using the slope formula.

So,

By the definition, the slope or gradient of a line describes its steepness, incline, or grade.

[tex]$m=\frac{{{y}_{2}}-{{y}_{1}}}{{{x}_{2}}-{{x}_{1}}}$[/tex] which is equal to [tex]$\tan \left( \theta \right)$[/tex].

Where [tex]$m$[/tex] is the slope and [tex]$\theta $[/tex] is the angle of incline.

So,

Slope [tex]$\left( m \right)=\frac{-2-2}{7-\left( -5 \right)}$[/tex]

[tex]m=\frac{-1}{3}[/tex]

So, The slope of the line perpendicular to [tex]AB[/tex] is the reciprocal of the slope of the line [tex]AB[/tex] which is multiplied by [tex]-1[/tex].

so the slope of the line perpendicular to [tex]AB[/tex] is [tex]3[/tex].

[tex]b)[/tex] We will find the equation of the line perpendicular to [tex]AB[/tex] passing through the point [tex]C[/tex] that is [tex](-2,5)[/tex] by using the formula,

[tex]y=mx+b[/tex]

Here,

[tex]y=5[/tex]

[tex]x=-\frac{1}{3}[/tex]

We will find the [tex]y-[/tex] intercept of the line [tex](b)[/tex] first.

So,

[tex]$5=-\frac{1}{3}\left( -2 \right)+b$[/tex]

[tex]$5=\frac{2}{3}+b$[/tex]

Subtract [tex]\frac{2}{3}[/tex] both side.

So,

[tex]$b=\frac{13}{3}$[/tex]

So, the line perpendicular to [tex]AB[/tex] and passing throught the point [tex]C[/tex] is,

[tex]y=-\frac{1}{3}x+\frac{13}{3}[/tex].

Hence,

[tex]$a)$[/tex] The gradient of a line perpendicular to line [tex]$AB$[/tex] is [tex]$3$[/tex].

[tex]$b)$[/tex] The equation of the line perpendicular to line [tex]$AB$[/tex] and passing through point [tex]$C$[/tex] is [tex]y=-\frac{1}{3}x+\frac{13}{3}[/tex].

Learn more about gradient of a line perpendicular to line here,

https://brainly.com/question/23614238

#SPJ2

At Stop n Shop they are selling fried chicken for $1.95 a pound. If Amiyah buys 13.2 pounds how much will she spend?

Answers

Answer:

Step-by-step explanation:

Price of one pound = 1.95

Price of 13.2 pounds = 13.2 x 1.95 = 25.74

A line had a slope of -2/3 and passes through the point (-3, 8). what is the equation of the line?
A y=-2/3x+6
B y=-2/3x+8
C y=6x-2/3
D y=8c-2/3
PLS HURRY IM TIMED ON THIS ​

Answers

Answer:

I think B, but not sure.......

Step-by-step explanation:

A triangle has vertices at R(1, 1), S(–2, –4), and T(–3, –3). The triangle is transformed according to the rule R0, 270°. What are the coordinates of S'?

(–4, 2)
(–2, 4)
(2, 4)
(4, –2)

Answers

Answer:

A

Step-by-step explanation:

Answer:

a.

Step-by-step explanation:

solve 4 x 9.4 using distributive property. show your work

Answers

so it basically 36.16

Step-by-step explanation:

4x9=36

4x4=16

36.16

Determine if ƒ(x) = –x3 – x4 – 9 + 6x is a polynomial function. If it is, state the degree and the leading coefficient. If not, state why.

Answers

Answer:

The given function is a polynomial function.

The degree of the function is 4 and leading co-efficient is -1.

Step-by-step explanation:

Given function is:

ƒ(x) = –x^3 – x^4 – 9 + 6x

Putting the terms in order of their power.

[tex]f(x) = -x^4-x^3+6x-9[/tex]

A polynomial is an algebraic expression which involves only positive integer exponents for the variables.

A polynomial function is of the form:

[tex]p(x) = a_nx_n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}........ a_0[/tex]

We can see that the function has no negative exponent. So the given function is a polynomial function.

The degree of a polynomial is the highest exponent of variable involved and leading co-efficient is the co-efficient of the variable with highest power.

Hence,

The given function is a polynomial function.

The degree of the function is 4 and leading co-efficient is -1.

this is due soon plz help

Answers

Answer:

tre made an error when adding  or subtracting. the answer is 05

Simplifying

3.57x + 1.61 = 4.71 + -2.63x

Reorder the terms:

1.61 + 3.57x = 4.71 + -2.63x

Solving

1.61 + 3.57x = 4.71 + -2.63x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2.63x' to each side of the equation.

1.61 + 3.57x + 2.63x = 4.71 + -2.63x + 2.63x

Combine like terms: 3.57x + 2.63x = 6.2x

1.61 + 6.2x = 4.71 + -2.63x + 2.63x

Combine like terms: -2.63x + 2.63x = 0.00

1.61 + 6.2x = 4.71 + 0.00

1.61 + 6.2x = 4.71

Add '-1.61' to each side of the equation.

1.61 + -1.61 + 6.2x = 4.71 + -1.61

Combine like terms: 1.61 + -1.61 = 0.00

0.00 + 6.2x = 4.71 + -1.61

6.2x = 4.71 + -1.61

Combine like terms: 4.71 + -1.61 = 3.1

6.2x = 3.1

Divide each side by '6.2'.

x = 0.5

Simplifying

x = 0.5

The hardcover version of a book weighs twice as much as its paperback version. The hardcover book and the paperback together weigh 4.2 pounds. Which system of equations can be used to find h, the weight of the hardcover book, and p, the weight of the paperback?
h = p − 4.2
h = 2p
h = 4.2 − p
p = 2h
h = p − 4.2
p = 2h
h = 4.2 − p
h = 2p

Answers

Answer:

the correct option id D.

h = 4.2 − p

h = 2p

The correct equation which can be used to find h, the weight of the hardcover book, and p, the weight of the paperback is,

⇒ h = 2p

⇒ h = 4.2 - p

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The hardcover version of a book weighs twice as much as its paperback version.

And, The hardcover book and the paperback together weigh 4.2 pounds.

Now,

Let the hardcover book weight = h

And, the paperback together weigh = p

Hence. We get;

h + p = 4.2

h = 4.2 - p

And, The hardcover version of a book weighs twice as much as its paperback version.

Hence, We get;

⇒ h = 2p

Thus, The correct equation which can be used to find h, the weight of the hardcover book, and p, the weight of the paperback is,

⇒ h = 2p

⇒ h = 4.2 - p

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ3

what is the greatest common factor of 55+35

Answers

Answer:

5

Step-by-step explanation:

5(11+7)

The greatest common factor of the expression is 5.

I dont need the work, just the answers :)

Answers

Distance: sq (-3-(-9))^2 + (-1-8)^2
The answer is square root 117

please help asap!!!! i’ll mark brainlest

Answers

Answer:

C. 40 kilograms

Step-by-step explanation:

Other Questions
Sally left the city for vacation. Sandy left six hours later going 82 miles faster to catch up. After 5 hours Sandy caught up. What was Sally's average speed? can you help me pls it math slop Find the x-intercept(s) and the coordinates of the vertex for the parabola =yx24x5. If there is more than one x-intercept, separate them with commas.x-Intercept(s): Vertex: The volume of a cube is 1.5 m3. Find the length of its edge to the nearest tenth of a meter. Find the value of x. (6x - 3) 75 d The value of x is I WILL GIVE BRAINLEST TO CORRECT ANSWER Waking is not the most exciting form of exercise a person can take on for fitness. Yet it is low impact and requires no fancy equipment. That makes walking a simple activity for those new toexercise. Waking is less kely than other exercises to cause injury to leg tendons and muscles. All it requires is a good pair of sneakers-no cables, stylish outfits, or weights required. Of counperson could increase the benefit of a workout by adding weights or speed walking. Explain whether the main idea is explicit or implicit in this paragraph. A: It is explicit because it is directly stated in the paragraph.B: It is explicit because it is not directly stated in e paragraph.C: It is implicit because it is directly stated in the paragraph.D: It is implicit because it is not directly stated in the paragraph. Which should be the first step in solving the equation 1.2 w minus 3.8 = 12.4? Add 3.8 to both sides of the equation. Subtract 1.2 from both sides of the equation. Multiply both sides of the equation by 1.2. Divide both sides of the equation by 3.8. x13=6Give your answer as an improper fraction. The weight of an object can be determined by multiplying the mass of the object by which of the following?A the object's velocityB the object's sizeC the object's change in speedD the object's acceleration due to gravity Which Native American tribe was said to have originated Thanksgiving? A dining set is priced at $785. If the sales tax is 7 percent, what is the cost to purchase the dining set? Round to the nearest cent if necessary.A. $54.95B. $792.00C. $839.95D. $1134.50 "Jerusalem was taken from the north.... The population was put to the sword by the Franks, who pillaged the area for aweek.... In the Masjid al-Aqsa the Franks slaughtered more than 70,000 people, among them a large number of imams(religious leaders) and scholars... The Franks stripped the Dome of the Rock of more than 40 silver candelabra... a great silverlamp... as well as a hundred and fifty smaller silver candelabra and more than twenty gold ones. Refugees went to theCathedral Mosque and begged for help, weeping so that their hearers wept with them as they described the sufferings of theMuslims in the Holy City"Al-Athir, 1178Which statement BEST describes this passage?A)it was written by a Muslim observer during the Crusadeswritten by an entiti serrer-treating the Etcodesit was written by a Persian observer during the Mongol invasionD)it was written by an Egyptian observer during the Mongol invasion70 points When military leaders and dictators ruled Nigeria, they sometimes tried to prevent unrest by allowing peaceful, supervised political activity. agreeing to small, incremental changes. banning expressions of ethnic pride. prohibiting all criticism of the governmen Jude researched the prices of several different models of cell phones and made a scatter plot of his data. The equation of the line of best fit for Judes data is p = -2.76t + 99.05 , where p is the price of the phone and t is the number of months that the phone has been available. What is the real-world meaning of the slope of this line?a:A phones price increases by about $2.76 each month that it is available.b:The original price of each phone was $2.76.c:A phones price decreases by about $2.76 each month that it is available.d:The original price of each phone was $99.05. What makes teenagers aged 13-18 years more daring than other adolescents? will give brainliest to who ever gives me correct answer. Which statement best describes the experience of the Israelites under Babylonian rule?A. Israelites learned Babylonian customs and blended them with their own.B. Israelites thrived under Babylonian rule and created a brand-new culture.C. Israelites suffered greatly, having been taken captive or exiled from their homes.D. Israelites lost their faith and began to follow Babylonian religious customs.Please help, i need a answer fast, i will give brainliest to who ever gives me correct answer How do you know that Robert is a round, staticcharacter? Check the three best choices.He has few different character traits.He has many different character traits.He doesn't change significantly over thecourse of the novel.He changes and grows over the course of thenovel.He is complex and inconsistent at times, What solutions can help nick and Andrea get their resources ? Somebody help me plz A patient weighing 66 lbs. is prescribed Augmentin 30 mg/kg/day by mouth in divided doses every 8 hours. How many mg of the medication should the patient receive for each dose?