The cracker manufacturer is trying to determine the best dimensions for the boxes to hold their product so that they use the least amount of cardboard.

A rectangular prism with length of 6 inches, width of 4 inches, and height of 12 inches. A rectangular prism with length of 7 inches, width of 6 inches, and height of 9 inches.

Which box uses less cardboard, and how much less cardboard does it use?
A. The box on the right uses 30 inches squared less cardboard.
B. The box on the left uses 30 inches squared less cardboard.
C. The box on the right uses 90 inches squared less cardboard.
D. The box on the left uses 90 inches squared less cardboard.

Answer:

The circumference is about 19 centimeters.

Step-by-step explanation:

The formula for finding the circumference of a circle is [tex]2\pi r[/tex] or simply [tex]\pi d[/tex].

Now input the values into the formula, keeping in mind that pi is almost 3.14.

[tex]\pi *6=18.84[/tex]

Answer ≈ 19 cm

Hope this helps; have a great day!

Answer:

it should be 628.32 I'm not sure if I'm correct

Answer:

The value of x=5!

Step-by-step explanation:

I remeber ing this!!!:)

Answer:

the answer is 1

Step-by-step explanation:

Answer:

It's really easy, just need to multiply and add the symbol of the multiplication, the answer is: 1

-35+36=1

Answer:

29x-41y-11z

Step-by-step explanation:

Answer:

29 x − 41 y- 11 z

Step-by-step explanation:

Answer:

100m^2

Step-by-step explanation:

square has equal sides.

To find the area of the square, the formula is:

Area= length times width

So for square ABCD, 10*10=100m^2

Answer:

a = 38 degree

b = 54 degree

c = 54 degree

Step-by-step explanation:

a = 180 - 142 = 38 ( angle on a straight line is equal to 180)

To determine the value of b, we have to find the other missing angle in the triangle.

the value of the missing angle is 38

Alternate angles are equal. the missing angle is alternate to angle b which has a value of 38

b = 180 - (38 + 88) = 54

c = 54

Answer:

It is shifted 4 units down

Answer:

I'm not 100% sure, but I think the answer is 10 units squared.

Step-by-step explanation:

Find the area of each triangle, by multiplying each side, and dividing the answer in half. Add both of the triangles together, ending up as 6. Now we just find the area of the square. 2x2=4, add that to both of the triangles, and we're done. (2x2) ÷ 2 = 2 | (2x4) ÷ 2 = 4 | 2x2 = 4 | 4+4+2=10

Answer:

area=10 units^2

Step-by-step explanation:

[tex]a=\frac{(2+2+4)+(2)}{2} *2\\ =\frac{8+2}{2} *2\\ =\frac{10}{2} *2\\ =5*2\\ =10[/tex]

a=10 units^2

Volume = rule area × height

__________________________

The rule is circle and the area of the circle finds using following formula :

Circle area = pi × radius^2

Circle area = 3.14 × 1^2

Circle area = 3.14

___________________________

Volume = 3.14 × 10

Volume = 31.4 in^3

The volume of cylinder having diameter 1 inches and height be 10 inches be 31.4 cubic inches.

Volume is amount of substance a container can hold in its capacity. Volume of cylinder is π[tex]r^{2} h[/tex] in which r is radius and h is height of cylinder.

We have been given that the diameter of cylinder be 2 inches and height be 10 inches.We have to find the volume of cylinder.

Volume of cylinder=π[tex]r^{2} h[/tex]

Radius=2/2

=1 inch

Now put the value of radius and height in the formula of volume.

Volume=3.14*1*10

=31.4 cubic inches.

Hence the volume of cylinder is 31.4 inches.

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Answer:

hello the figure related to your question is missing attached below is the missing figure

answer : 157.08 m^2

Step-by-step explanation:

Calculate the area of the shaded area

= Area of the large circle - Areas of the small circles

= (( [tex]\frac{\pi }{4}[/tex] ) * D^2) - 2(  ( [tex]\frac{\pi }{4}[/tex] ) * d^2 )     given that the small circles are congruent

= (( [tex]\frac{\pi }{4}[/tex] ) * 20^2 ) - 2 ( ( [tex]\frac{\pi }{4}[/tex] ) * 10^2 )

= 314.16 - 157.08

= 157.08 m^2

Answer:

Step-by-step explanation:

For the first 30 hours, Andrew will earn 4(30) = $120.  For each additional hour beyond 30 that Andrew works, he will earn 5(h - 30).  Therefore, the function that gives Andrew's total wages when he works more than 30 hours is:

w = 120 + 5(h - 30).  

So, if he works 35 hours, he will earn:

120 + 5(35 - 30) = 120 + 5(5) = 120 + 25 = $145.

If he works 42 hours, he will earn:

120 + 5(42 - 30) = 120 + 5(12) = 120 + 60 = $180.

I hope this helps!

Answer:

i am not certain but i think i am correct

LA- 131.88

SA- 188.4

V- 197.82

Step-by-step explanation:

LA-

2×3.14= 6.28

6.28×3= 18.84

18.84×7= 131.88

SA-

2×3.14= 6.28

6.28×3= 18.84

18.84×7= 131.88

2×3.14= 6.28

6.28×3= 18.84

18.84×3= 56.52

56.52+131.88= 188.4

V-

3.14×3= 9.42

9.42×3= 28.26

28.26×7= 197.82

as i said i am not sure if this is right

Answer:

37.45'

Step-by-step explanation:

The first transit on one side of the trench is 18 ft higher than the other side of the trench. The transit is set at 4.5 above ground, therefore the transit lens is 18' + 4.5' = 22.5' above the location on the other side of the trench. The angle of depression is the angle formed by the horizontal and the line of sight to the other side and it is given as 31°. This forms a right angle triangle with height of 22.5' and an interior angle of 31°, Then

tan( 31°) = Height / base, with the base representing the width of the trench

base = Height / tan(31°) = 22.5' / tan(31°) = 37.45' is the width of the trench

Answer:

Step-by-step explanation:

The answer is the United states Supreme Court suported segreation

Answer:

[tex]\angle\ ABC=70[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\AB\ and\ AC\ are\ two\ equal\ chords\ on\ the\ circle\ ABC.\\ Let\ the\ center\ of\ the\ circle\ ABC\ be\ O.\\ Angle\ subtended\ at\ the\ Center\ of\ the\ circle\ by\ Chord\ AB\ is\ 110.\\Hence,\\Lets\ connect\ AC\ to\ form\ a\ triangle- \triangle ABC.\\Also,\\O\ forms\ the\ Centroid\ of\ \triangle ABC.[/tex]

[tex]By\ joining\ sides\ AO\ and\ OB,\ we\ obtain\ \triangle ABO.\\Hence,\\\angle BOA=110\ \\Now,\\Considering\ point\ C\ on\ Circle\ ABC,\ lets\ consider\ \angle BCA.[/tex]

[tex]We\ know\ that,\\'Angle\ subtended\ by\ a\ chord\ at\ the\ center\ is\ double\ the\ angle\\ subtended\ by\ the\ same\ chord\ at\ the\ respective\ arc\ of\ the\ circle'.\\Here,\\As\ BOA\ is\ an\ angle\ subtended\ by\ the\ chord\ AB\ at\ the\ center\ of\ circle\ ABC\\ while,\ BCA\ is\ an\ angle\ subtended\ by\ the\ same\ chord\ AB\ at\ the\ major\ arc\ of\\ the\ Circle\ ABC.[/tex]

[tex]Here,\\\angle BOA=2 \angle BCA\\Hence,\\Substituting\ \angle BOA=110,\\110=2*\angle BCA\\Hence,\\\angle BCA=\frac{110}{2}=55[/tex]

[tex]Now,\\We\ also\ know\ that,\\'Base\ angles\ opposite\ to\ equal\ sides\ are\ equal\ too'.\\Here,\\In\ \triangle ABC,\\As\ BA=BC,\\\angle BAC= \angle BCA\\\\\therefore \angle BAC= \angle BCA=55[/tex]

[tex]The\ Angle\ Sum\ Property\ of\ a\ Triangle\ States\ that,\\'The\ Sum\ of\ all\ Interior\ Angles\ of\ a\ Triangle\ is\ 180.'\\Hence,\\As\ Polygon\ ABC\ is\ a\ triangle,\\\angle BCA +\angle BAC +\angle ABC=180\\Substituting\ \angle BCA=\angle BAC=55,\\55+55+ \angle ABC=180\\Hence,\\110+ \angle ABC=180\\Or,\\\angle ABC=180-110=70[/tex]

Answer:35

Step-by-step explanation:

Answer:

its C

Step-by-step explanation:

Answer:

7/80 is the answer because there are 7 possible chances she can get a red or blue gumball.

Step-by-step explanation:

Answer:

Yes

The answer is 1

Step-by-step explanation:

Answer:

Every time a new piece of equipment is added to the system, if ifs not properly optimized within the scope of the entire system, you'll end up with wasted energy and operational inefficiencies

Answer:its an integral where the function to be integrated is evaluated along a curve. Various different line integrals are in use. In the case of a closed curve it is also called a contour integral. The function to be integrated may be a scalar field or a vector field.

Step-by-step explanation:

hope this helps

Answer:

5

Step-by-step explanation:

,

Answer:

[tex]qurtile1 = (\frac{n + 1}{4})th \: item \\ = (\frac{15 + 1}{4})th \: item \\ = 4th \: item \\ quartile1 = 10 \\ now \\ quartile2 =( \frac{n + 1}{2})th \: item \\ = ( \frac{15 + 1}{2})th \: item \\ = 8th \: item \\ quartile2 = 18 \\ again \\ quartile3 = 3( \frac{n + 1}{4})th \: item \\ = 3( \frac{15 + 1}{4})th \: item \\ = 12th \: item \\ quartile3 = 40[/tex]

Veremos que en la imagen 10 hay 37 circulos, y la diferencia entre las imagenes 12 y 7 es de 20 circulos.

Primero, debemos contar la cantidad de circulos que tenemos en las imagenes mostradas.

Entonces podemos ver que en cada imagen se agregan 4 circulos, es decir tenemos una secuencia aritmetica, de tal forma que la imagen número N tendremos:

[tex]C_N = 1 + (N - 1)*4[/tex]

Entonces, cuantos circulos hay en la imagen 10? para ver eso reemplazamos N por 10.

[tex]C_{10} = 1 + (10 - 1)*4 = 37[/tex]

¿Cuántos círculos más tendrá la imagen 12 respecto de la imagen 7?

Para ver esto calculamos:

[tex]C_12 - C_7 = (1 + (12 - 1)*4) - (1 + (7 - 1)*4) = 11*4 - 6*4 = 20[/tex]

Es decir, la image 12 tiene 20 circulos más que la imagen 7.

Sí quieres aprender más sobre secuencias, puedes leer:

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Answer:

39 in.

Step-by-step explanation:

As  it's a regular hexagon all sides are congruent.

Therefore

7x + 4 = 8x - 1

4 + 1 = 8x - 7x

x = 5.

So the required length is 7(5) + 4 = 39 in.

Answer:

S, and the other day. I have been a while. I have a great drea the most important things. The may have to pay a fee of the most popular and I will not 66 the most of the most of my life. I was a bit of the best, but the 15th. I have been a while. I am your what is happening in the next couple days 6 the most of the most of the most

Step-by-step explanation:

popular and I will not be hurt by a friend of the day, and the other side, I think I have a great drea, I think I have been a while. I have been in touch. Thanks for the next day delivery. We have a great drea the same time. I was just the right place for the use of the most of the most popular and I am a beautiful person. The comments for your email.

The woman will land on the east bank of the river at a downstream of 37.5 miles.

Relative velocity of an object in motion is defined as the velocity of the object with respect to another object.

Here,

Width of the river, W = 60 miles

Velocity of the boat in still water, Vb = 2 mph

Velocity of river, Vr = 5 mph

Relative velocity of the boat with respect to river in downstream,

Vbr = Vb + Vr

Vbr = 8 mph

Drift of the boat, d = Vr W/Vbr

d = 5 x 60/8

d = 37.5 miles downstream

Hence,

The woman will land on the east bank of the river at a downstream of 37.5 miles.

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