35. A can of popcorn is to be packed in a box for shipping as shown. The can is 18 inches tall and has a radius of 7 inches. The box is 19 inches tall and has a square base with sides of length 15 inches. All empty space around the can is to be filled with packing material. How many cubic inches of packing material will be needed?

Answers

Answer 1

The amount of packing material is 1506 cubic inches

How to determine the amount of packing material?

The given parameters are:

Can

Radius, r = 7 inches

Height, h = 18 inches

Box

Base dimension, l = 15 inches

Height, h = 19 inches

The volume of the can is:

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

So, we have:

[tex]V_1 = 3.14 * 7^2 * 18[/tex]

[tex]V_1 = 2769[/tex]

The volume of the box is

[tex]V =l^2h[/tex]

So, we have:

[tex]V_2 =15^2 * 19[/tex]

[tex]V_2 =4275[/tex]

The amount of packing material is;

Amount = V2 - V1

This gives

Amount = 4275 - 2769

Evaluate

Amount = 1506

Hence, the amount of packing material is 1506 cubic inches

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Related Questions

14 Customers into the store over the course of seven minutes how many Internet store after one minute

Answers

Answer:

2

Step-by-step explanation:

14 divided by 7 is two customers in one minute

Answer:

After one minute there will be 2 people inside the store.

Step-by-step explanation:

First we put this into a proportion. Aka set up like a fraction.

14 (customers)                 x

-------                 --->         ------

7 (minute)                      1 minute

In order to find x, we must divide by 7  because in order to make the bottom number one on the bottom, you must divide by 7 , so we do the same to the top.

14/7 is 2.  

This means that per minute, there are 2 people inside the store.

After one minute, There will be 2 people inside the store.

                   

GIVING 10 POINTS
PLEASE HELP!
What does it mean when two expressions are equivalent?

Answers

Answer:

When two equations are equivalent it means that the two equations are equal to each other. Hope this helps, thank you !!

what is the result of -4+5/3?​

Answers

Answer:

-2⅓

Step-by-step explanation:

-4 + 5/3 Start out with this sum.

-4 + 1 ⅔ Make 5/3 into a mixed number.

-2 ⅓ Then add them together. The best way to do this is to first add -4 and 1 which makes -3. Then add ⅔ to -3 which is -2 ⅓


find JQ if Q is the incenter of JLN

Answers

Answer:

Find each measure. 9. NP. ANSWER: 14. 10. PS.

Step-by-step explanation:

The length of JQ is 18.79 unit.

What is Pythagoras theorem?

According to the Pythagoras theorem, a triangle's hypotenuse square equals the sum of its other two sides' squares.

Given:

Q is the incenter of JLN

QP= QK= QM= 9 units

Now, In Δ JPQ

JP= 16.5, QP =9 , QP⊥ JP

So, JQ = √JP² + QP²

JQ= √16.5²+ 9 ²

JQ= 18.79 units

Hence, the length of JQ is 18.79 unit.

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5. What are the values of x and y?
O x=2sqrt3 y=4
O x=8sqrt7 y=4sqrt21
O x=8sqrt3 y=8sqrt3
O x=4sqrt21 y=8sqrt7​

Answers

Answer:

x= 90 degree

y= 43 degree

Step-by-step explanation:

We have been given an isosceles triangle being two sides equal AB and AC

By the property of isosceles triangle

The sides which are equal will have same base angle

Hence, ∠ABC=∠ACB=

We know that sum of angles of triangle is  

∠ABC+ ∠ACB+∠BAC=      (1)

Since, ∠BAC is the bisector so, ∠BAD and ∠DAC are equal which is  

Now, substituting the values in (1) we get:

Now, we will consider ΔABD to find x

,∠ADB=∠ABD=

Now, Apply the sum of angles of triangle is  we get:

Answer:

x = 8[tex]\sqrt{7}[/tex]

y = 4[tex]\sqrt{21}[/tex]

Step-by-step explanation:

use the altitude rule to find the height of the triangle first

12/h = h/16

h² = 12x16

h = [tex]\sqrt{192}[/tex]

h = [tex]\sqrt{4}[/tex][tex]\sqrt{4}[/tex][tex]\sqrt{4}[/tex][tex]\sqrt{3}[/tex] = 8[tex]\sqrt{3}[/tex]

now you can use the Pythagorean Theorem with height of 8[tex]\sqrt{3}[/tex] along with the other leg of 12 to find 'y'; which comes out to be [tex]\sqrt{336}[/tex] or [tex]\sqrt{4}[/tex][tex]\sqrt{4}[/tex][tex]\sqrt{21}[/tex]

then use the Pythagorean Theorem with height of 8[tex]\sqrt{3}[/tex] along with the other leg of 16 to find 'x'; which comes out to be [tex]\sqrt{448}[/tex] or [tex]\sqrt{4}[/tex][tex]\sqrt{4}[/tex][tex]\sqrt{4}[/tex][tex]\sqrt{7}[/tex]

Does anyone know how to solve this?

Answers

Answer:

A point in polar coordinates is written as (R, θ)

If we want to transform this point to rectangular coordinates, we get:

x = R*cos(θ)

y = R*sin(θ)

Now we can remember that the sine and cosine functions have a period of 2*pi, then:

cos(θ) = cos(θ + 2*pi)

or:

cos(θ) = cos(θ + 2*pi + 2*pi)

and so on.

Then the point (R, θ) is the same as (R, θ + 2*pi) and (R, θ + k*(2*pi))

where k can be any integer number.

Then if we have a point in polar coordinates:

(-4, -5*π/3)

Then another two polar representations of this point are:

(-4, -5*π/3 + 2*π) = (-4, -5*π/3 + 6*π/3) = (-4, π/3)

Now we can not add 2*π (nor subtract) because we would have an angle outside the range [-2*π, 2*π]

For example, if we have:

(-4, π/3 + 2*π) = (-4, 7*π/3)

And we can not change the value of the radius and get the coordinates for the same point.

So another representation could be something like:

(-8/2, π/3)

Where i just wrote -4 in another way.

Now, a really important point.

When working with polar coordinates, we always use R as a positive number (here you can see that R is negative) so this is not the standard notation for the polar representation of a point.

usando las propiedades de la igualdad resuelve: 13r=117 y explica el procedimiento​

Answers

Answer:

r=9

Step-by-step explanation:

13r=117

r=117/13

r=9

Which of the following statements must be true about the diagram

Answers

Answer:

D )        x+y=w

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the two opposite interior angles.

how many degrees is a 12-gon

Answers

Answer:

150 degrees

Step-by-step explanation:

The degrees of a n-sided polygon is given by the expression:

180  (  n  −  2 )

where  n  is the number of sides. As we know that it ahs 12 sides, so

=180  (  12  −  2 )

=180  (  10 )

=1800 i.e. Therefore, there are  1800  degrees in a  12

-gon.

To find the measure of the angles, we know that the sum of all the angles is 1800 degrees, and there are 12 angles. So,

1800/12 = 150

So, the measure of the interior angle of a 12-gon is 150 degrees.

Please help with this!?!?!?

Answers

Answer:

2$

Step-by-step explanation:

you can see that for every mile, the cost goes up 1.5 dollars, and if you tale the lowest amount, 2 miles, multiply by 1.5 = 3, and then subtract that from 5, you get 2

2$ I hope this helps

Divide 9 by t. Then, add 3.
Which of the following expressions matches the statement above?
OA. t + 9 + 3
OB. 9 + 3+ t
C. 9 + (t + 3)
OD. 9+t+3

Answers

D.
this expression matches the statement.

The midpoint of AB is M(-3,-3). If the coordinates of A are (-5, -1), what are
the coordinates of B?

Answers

Answer:

The coordinates of B are (-1, -5).

Step-by-step explanation:

Since the x-coodinate of M is 2 greater than that of B (note that -3 = -5 + 2), the x-coordinate of B is found by adding 2 to -3, obtaining -1.  The y-coordinate of M is -3, which is 2 less than the y-coordinate of A;  Thus, the y-coordinate of B is 2 less than -3, that is, -5.

The coordinates of B are (-1, -5).

Solve for x: please help

Answers

Answer:

45 because an acute angle is 45 degrees

Answer:

22.5

Step-by-step explanation:

22.5 + 22.5 x 3 =

22.5 + 67.5 =

90

Hope that helps!

Help please
|2x + 5| = 11

Answers

Step-by-step explanation:

[tex]2x + 5 = 11 \\ 2x = 11 - 5 \\ 2x = 6 \\ x = 6 \div 2 \\ x = 3[/tex]

0510006 please answer this
what is 8*29

Answers

Answer:

8*29=232

Step-by-step explanation:

if you take 8*20 you get 160

if you take 8*9 you get 72

Add them and you get 232

‘Basic exponent rules’ simplifying to a single power .

Answers

Answer:

64

Step-by-step explanation:

Can someone please help me on this question? Question: What percent of a dollar is a quarter, a nickel, a dime, and two pennies?

Answers

Answer:

Its 42 percent

Step-by-step explanation:

0.25+0.5+0.10+0.2=0.42 or 42%

All the change added together is 42/100 because a dollar is just 100 cents.

There are sixteen girls and twelve boys in block 7 math. At that rate, how many
girls would you expect in a group with two hundred ten boys?

Answers

Answer:280

Step-by-step explanation:

If the main group is a ratio of girls to boys 16:12 and the 12 is increased to 210 then do 210/12=17.5 and multiply the 17.5 by 16 to get 280

Will give brainliest!

Answers

A) x = -4
B) x = 4
C) y = 4
D) y = -2
E) y = -3/4x + 1

Answer:

Step-by-step explanation:

Equation for line a:

x = - 4

Equation for line b:

x = 4

Equation for line c:

y = 4

Equation for line d:

y = - 2

Equation for line e:

y = − 0.75x + 1

m> 32
Which of the following could be a possible value for m?
32
33
100
n 31

Answers

33 and 100 are correct. Both are greater than 32
The answer is 33 and 100.

Because it says m is larger than 32. It can’t be 32, the sign is only larger than, not larger than or equal to. It also can’t be 31 because it is smaller than 32.

help...........................

Answers

Answer:

Could you please repeat the question?

Answer:

Answer:

Step-by-step explanation:

What help!

Thanks for free points!

Have a nice day!

You spent m minutes studying on Monday On Tuesday you studied 15 more minutes than you did on Monday. Wednesday, you studied 30 more minutes than you did Tuesday you studied twice as long on Thursday as you did on Monday on Friday you studied 20 minutes less than you did on thursday

Answers

Answer: 7m - 40

Step-by-step explanation:

Monday = m

Tuesday = m + 15

Wednesday = m + 15 + 30 = m + 45

Thursday = 2 × m = 2m

Friday = 2m - 20

The expression will now be:

= m + m + 15 + m + 45 + 2m + 2m - 20

= 7m- 40

A translation is shown on the grid below​

Answers

Answer:

translation of ABC to A'B'C' is 5,3

A bag contains 11 red M&Ms, 8 green M&Ms, and 6 blue M&Ms.What is the ratio of blue M&Ms to green M&Ms?

Answers

Answer:

The answer is 6/25 :8/25

Which of the following best describes the equation below?

y = -3x - 13
A.
both linear and nonlinear
B.
nonlinear
C.
neither linear nor nonlinear
D.
linear

Answers

Answer:

d. linear

Step-by-step explanation:

using the format y=mx+b

A ball falls from the top of a building. When it strikes the ground its velocity is 10 m/s. It took 5 seconds to fall. What is its acceleration? _____ m/s2

Answers

Answer:

a = 2 m/s²

Step-by-step explanation:

[tex]a = \frac{v-u}{t}[/tex]

where v is the final velocity, u is the initial velocity, and t is the time it takes. the intial velocity is always 0 m/s. given the equation, we subsitute:

[tex]a = \frac{10m/s - 0 m/s}{5s}[/tex]

a = 10m/s ÷ 5s

a = 2 m/s²

Fay has a lemonade stand.
She spends £42 on ingredients.
She sells each glass of lemonade for £1.20.
If she sells 50 glasses of lemonade, what is her total profit?

Answers

her total profit is 3
Step-by-step explanation:
1.50 x 30 = 45
to find total profit - 45-42= 3

Answer:

she made a profit of 18$

50*1.2=60-42=18

Step-by-step explanation:

a dealer sells a camera to a man and makes 15% profit. The man sells the camera to another man for 414$ with 10% loss. Find the original cost of the camera.

Answers

Answer:

$386.75

Step-by-step explanation:

First we must find the price of the camera after the man sold it, with the 10% loss.

To do this we find 10% of 414, which is 41.4 . Meaning the camera was originally bought from the dealer for $455.40, as we have to add the 10% back onto the price.

Now we find 15% of 455 and subtract it, with 15% being 68.25, the original cost was $386.75. My guy was seriously ripped off :(.

Orignal price: $386.75

Which of the following expressions are equivalent to 4 + 36x

Please answer and dont take my points bc i am in a hurry
A
4(1) + 4(36x)

B
4(1 + 36x)

C
2(1) + 4(9x) + 4

D
4(1 + 9x)

Answers

Answer:

The answer would be D.

Answer:

The answer is D 4(1 + 9x) or C depending on what school website you use.

Step-by-step explanation:

que es la radicasion ​

Answers

Answer:

La radicación es la operación inversa a la potenciación. Y consiste en que dados dos números, llamados radicando e índice, hallar un tercero, llamado raíz, tal que, elevado al índice, sea igual al radicando. En la raíz cuadrada el índice es 2, aunque en este caso se omite.

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