Must answer correctly don't put something random for points or getting reported

You have recently purchased a new backpack as show in the picture. The main section of the backpack is made of a rectangle gular prism. Use the diagram to find the volume of your new backpack, then explain how u calculated the answer. Use the pictures with the formulas to help also use the sentence starters.
Sentence Starters:
The volume of the large rectangular prism (the bottom part of the backpack) is __inᶾ.
The volume of the pocket, which is also a rectangular prism is _____ inᶾ.
The volume of the half cylinder, which is the top curve of the backpack, is _____ inᶾ.
When you add all three of these together, you get the total volume of _____ inᶾ.

Hint: Find the volume of each shape; there are 3 of them; two rectangular prisms and half of a cylinder, and then add all 3 of them together. For the cylinder, you only need half, so find the volume of the whole cylinder then divide it by 2 for half. )

Must Answer Correctly Don't Put Something Random For Points Or Getting ReportedYou Have Recently Purchased

Answers

Answer 1

Answer:

Main part of backpack V = 840 inᶾ

Front pocket of backpack V = 64 inᶾ

Top curve of the backpack V = 395.8406744 inᶾ

Total V = 1299.840674 inᶾ

Step-by-step explanation:

1.

As we know, the formula for the volume of a rectangular prism is width x height x length (V = whl).  We will use this formula to find the volume of the large rectangular prism (bottom part of the backpack) and the volume of the smaller rectangular prism (the pocket).  As for the cylinder, we know the formula for the volume of a cylindrical prism is pi x radius squared x height (V = πr^2h).  We will use this formula to find the volume of the half cylinder (top curve of the backpack).

2.

For the large rectangular prism (main part of the backpack), we are given:

w = 7in

h = 10in

l = 12in

Now let's incorporate our formula for the volume of a rectangular prism into this situation.

V = whl

V = 7 x 10 x 12

V = 840 inᶾ

3.

Now for the smaller rectangular prism (front pocket of backpack), we are given:

w = 2in

h = 4in

l = 8in

Now let's incorporate our formula for the volume of a rectangular prism into this situation.

V = whl

V = 2 x 4 x 8

V = 64 inᶾ

4.

Now to calculate volume for the half cylinder (top curve of the backpack), we must first imagine that this is a full, circular cylinder.  We are given:

r = 6in

h (which will be the same as the width of the backpack in this case scenario) = 7in

Now let's incorporate our formula for the volume of a rectangular prism into this situation.

V* = πr^2h

V* = π x 6^2 x 7

V* = 791.6813487 inᶾ (round this number if you must)

Now that we have the volume of a whole cylinder, we can halve it (divide by two) since we only need half of the cylinder.

V = V*/2

V = 791.6813487/2

V = 395.8406744 inᶾ (round this number if you must)

5.

Finally, we can add our volumes together to acquire the volume of the backpack as a whole!

Large rectangular prism (bottom part of the backpack) + Smaller rectangular prism (the pocket) + Half cylinder (top curve of the backpack) = Total Volume (Whole backpack)

Recall that:

Large rectangular prism (bottom part of the backpack) = 840 inᶾ

Smaller rectangular prism (the pocket) = 64 inᶾ

Half cylinder (top curve of the backpack) = 395.8406744 inᶾ

So:

Total Volume (Whole backpack) = 840 inᶾ + 64 inᶾ + 395.8406744 inᶾ

Total Volume (Whole backpack) = 1299.840674 inᶾ (round this number if you must)


Related Questions

The two dot plots below compare the forearm lengths of two groups of schoolchildren:

Based on visual inspection of the dot plots, which of the following groups appears to have the longer average forearm length?

A. Group B, because a child in the group has the least forearm length of 11 inches

B. Group A, because three children in the group have the least forearm length of 11 inches

C. Group B, because four children have a forearm length longer than 13 inches

D. Group A, because no child in the group has a forearm length longer than 13 inches

Answers

So, The dots represent the children.

And the numbers represent the length in.

I wouldnt say its D.

I would say its C. Group B, because 4 kids have forearm length longer then 13 in.

Answer:

So, The dots represent the children.

And the numbers represent the length in.

I wouldnt say its D.

I would say its C. Group B, because 4 kids have forearm length longer then 13 in.

Step-by-step explanation:

bc

What is the scale factor of ABC to A'B'C'?

Please help!! ASAP if you help with this PLEASE HELP WITH MY LAST QUESTION I ASKED!!! (it’s worth a lot of points!)

Answers

The Scale factor (SF) would be 5. Since all the lengths are 2( 2x5= 10) which is the lengths of the image!
The scale factor is 5. hope this helps

can someone help me? i need my math grade to go up

Answers

Answer:

59

Step-by-step explanation:

do it piece of paper or ask someone to help you.

the answer is 59, because 63 to the power of 3 is 21 and the other answers are decimals that are smaller

Can anyone help with this problem?!

Answers

Answer:

1) 24 2) 65

Step-by-step explanation:

1) 40-8x when x=2

8*2=16

40-16=24

2) 65/p*3 when p=5

65/5= 13

13*5= 65

Hope this helps ^^

6) a. 40-8x

      = 40-8(2) ← [8 x 2]

      =40-16

      =24

69. If four coins are flipped, find the probability and the odds of obtaining one head and three tails.

Answers

Answer:

The probability is 4/16 = 1/4

Step-by-step explanation:

I NEED HELP PLEASE I LOVE YOU!!!!! What is the mean absolute deviation (MAD) for the set of data?
{21, 18, 14, 23, 34, 40}

Answers

Answer: 8

Step-by-step explanation:You Take each number in the data set, subtract the mean, and take the absolute value. Then take the sum of the absolute values. Now compute the mean absolute deviation by dividing the sum above by the total number of values in the data set.

27. Find a polar equation of the conic with focus at the pole that has the given eccentricity and equation of directrix.
e=\frac{4}{3}, r \cos \theta=-3

Answers

The polar equation will be  [tex]r=\dfrac{4}{1+cos\theta}[/tex]

What is the polar equation?

A polar equation is any equation that expresses the relationship between r and theta, where r is the distance between the pole (origin) and a point on a curve, and theta is the counterclockwise angle formed by a point on a curve, the pole, and the positive x-axis.

From the equation, we are told that

The  Eccentricity: e = 1

The  Directrix is   y = 4

Generally, the polar equation for e =  1  and y  =  + c is mathematically represented as

[tex]r =\dfrac{e\times c}{1+ecos\theta}[/tex]

[tex]r =\dfrac{1\times 4}{1+1\times cos\theta}[/tex]  

 [tex]r=\dfrac{4}{1+cos\theta}[/tex]

 

Therefore the polar equation will be  [tex]r=\dfrac{4}{1+cos\theta}[/tex]

To know more about the polar equation follow

https://brainly.com/question/9363127

#SPJ1

You randomly choose one of the tiles. Without replacing the first tile, you randomly choose a second tile. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. The probability of choosing a red tile and then a vowel is

Answers

Answer:

You randomly choose one of the tiles. Without replacing the first tile, you randomly choose a second tile. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. The probability of choosing a red tile and then a vowel is

Step-by-step explanation:

You randomly choose one of the tiles. Without replacing the first tile, you randomly choose a second tile. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. The probability of choosing a red tile and then a vowel is

I’m gay and so are you!!

The principal observes 8th grade the following day. Of the 120 students, 42 brought their lunch from home, 72 purchased lunches, and 6 brought a lunch from home and purchased an ice cream.

Explain how the principal could use the numbers from 7th grade to predict the 8th grade possibilities.

Answers

I think

Step-by-step explanation:

by finding each chart such as if there are 120 7th graders and 180 8th graders he can use the same numbers from the 7th graders and compare each percentage to the 8th-grade kids and get a close enough answer

First Question: Screenshot the following image and attach a photo after you dilate by a scale factor of 2.

Second Question: Screenshot the following image and attach a photo after you dilate by a scale factor of 1/3.

Please help! If you help with this please do my other questions!! (They are very similar!)

Answers

Answer: See in the explanation, screenshot attached

Step-by-step explanation:

SQUARE QRTS

Step 1: Label all of  the coordinates

Step 2: Find the coordinates of the points

Q: (-2, 1)

R: (2, 1)

T: (-2, -2)

S: (2, -2)

Step 3: Know what it means to dilate

To dilate is to make a shape bigger or smaller. For example, when it says to dilate by a scale factor of 2, you multiply each coordinate by 2 to get coordinate pairs that are twice the original amount (in this case you make it bigger). However, if it says to dilate by a scale factor of a fraction, for example 1/2, you'd multiply the coordinates by 1/2 and hence make it smaller (1/2 its size).

Step 4: Dilate by a scale factor of 2--multiply by 2

*x stands for the x coordinate, and y stands for the y coordinate*

Q: -2, 1

x: -2x2= -4

y: 1x2= 2

[Dilated] Q: -4, 2

R: 2, 1

x :2x2= 4

y: 1x2= 2

[Dilated] R: 4, 2

T: -2, -2

x: -2x2= -4

y: -2x2=-4

[Dilated] T: -4, -4

S: 2, -2

x: 2x2= 4

y: -2x2= -4

[Dilated] S: 4, -4

Step 5: Plot the new pairs

(See screenshot)

SQUARE ABCD

Step 1: Label all the coordinates

Step 2: Find the coordinate pairs of the points

A: -3, 3

B: 3, 3

C: 3, -3

D: -3, -3

Step 3: Remember what it means to dilate

(See 1st explanation)

Step 4: Dilate by a scale factor of 1/3

**Since 1/3 is a fraction, we are making the square smaller, or making it ⅓ of its original size. You will see that the numbers of the coordinates get smaller once you dilate them.**

A: -3, 3

x: -3x1/3= -1

y: 3x1/3= 1

[Dilated] A: -1, 1

B: 3, 3

x: 3x1/3 = 1

y: 3x1/3= 1

[Dilated] B; 1, 1

C: 3, -3

x: 3x1/3= 1

y: -3x1/3= -1

[Dilated] C: 1, -1

D: -3, -3

x: -3x1/3= -1

y: -3x1/3= -1

[Dilated] D: -1, -1

Step 5: Plot the new pairs

(see screenshot)

Hope this helps :))

Also I worked pretty hard on this so brainiest would be appreciated :D

please help 50 point will be given!!

Answers

Answer:

12

Step-by-step explanation:

Count how many there are per meat mixed with all three different veggies, sounds weird in writing but makes sense if clarified by speech. anyways hope this helped have a great night!

9
beef spinach, beef broccoli, beef carrots

chicken spinach, chicken broccoli, chicken carrots

fish you get it

the shoes department is offering a sale of 15% off all shoes. if mrs. jefferey saved $12.30, how much were the shoes full price?

Answers

Answer: $82

Step-by-step explanation:

F - .15F = 12.30

F = 12.3/.85 =$14.47 for full shoe price rounded down a fraction of a cent

Full Price minus 15% discount = $12.30

F - 0.15F = 12.30

F(1-0.15) = 12.30

0.85F = 12.30

Overall answer --->F = 12.30/.85 = 14.47058824

the shoes department is offering a sale of 15% off all shoes. if mrs. jefferey saved $12.30, how much were the shoes full price?
82

Desmos
Is it Fair?

Explain your answer.

Answers

Answer: yes
It is fair
Hope this helps
Yes it is fair because the line stays consistent threwout the graph chart

PLEASE HELP !!!!!!

find the missing number on the number line

Answers

Answer:
The answer is 1
Step-by-step explanation:
The number line is in the negatives until it hits the ? so it's 1
the answer is one. count the halfs and lines and you will get 1

Please help me with this I would give you 50 points.

Answers

Answer:

15d=165

Step-by-step explanation:

15 dollars per dough (d)= 165 dollars

Hope this helps! ;-)

~Master Chief

Let's solve this problem step by step:

 So we know that Isaac sold 'x' number of tubs of dough

    ⇒ and that each tub of dough is worth 15 dollars

       ⇒  means he made '[tex]15*x'[/tex] dollars from selling 'x' tubs of dough

           ⇒ coincidently, we know that he made a total of $165

   ⇒ So the equation is: [tex]15x = 165[/tex]

Answer: 15x = 165

Hope that helps!

Select all the relationships with a constant of proportionality of 12.

Answers

The answers are the 1st 2nd 3rd 4th box

2. The radius of a circle is 11 inches. Find the diameter. (Section 13.1)

Answers

Answer:

22

Step-by-step explanation:

diameter = radius x 2

11 x 2 = 22

1. How can you describe the likelihood of an event?

Answers

Answer:

It could be the probability or this for an example: 1/2 = an equal chance of getting 1 or 2, 3/4 = likely, 1/4 is going to be unlikely since you have a lower chance of something, and 4/4 = 1 = a certain chance of something happening.

Step-by-step explanation:

well it could be the probability.

Please help!

A net of a rectangular prism is shown below. The surface area of each face is labeled.
Problem
Which values represent the dimensions, in meters, of the rectangular prism?

A.3, 4, 10
B. 12, 30, 40
C. 2, 6, 8
D. 2, 5, 6

Answers

Answer:

b i think

Step-by-step explanation:

because if you make it into a prism, the dimensions are basically the same

How do I do this? I'm so confused

Answers

The answer is 67.5 you Find the area of the rectangle by times in length times width and then for the triangle you would times than 9 by the three and divide by two and then add up Both area’s

Answer:

The answer is 67.5

Step-by-step explanation:

please helppppp me i need it

Answers

hey there!

Given rule is 2x-8

Given x = 8

On substituting ,

=> 2(8)-8

=> 16-8

=> 8

8 is the answer mate!

Hope it helps you

Please mark as brainliest.

A parallelogram has an area of 120 square feet and a height of 6 feet.

What is the length of the base of the parallelogram?

Enter your answer in the box.

*box*

Answers

Answer:

20 feet

Step-by-step explanation:

1. We know from here that A = bh (Area = Base x Height).

We are given:

A = 120 ft^2

h = 6 ft

b = ?

2. Let's rearrange our formula (A = bh) so that we find  what "b" equals."

Our new formula will be: b = A/h (base = Area / height).

3. Let's apply it to the question and do the required math!

b = A/h

b = 120/6

b = 20 ft

Answer:

b = 20 ft

Step-by-step explanation:

The area of a parallelogram is given by:

A = b*h

where,

A: area = 120 ft^2

b: base = ?

h: height = 6 ft

From the equation for A, solve for b, replace the values of A and h and simplify:

b = A/h

b = 120ft^2/6ft

b = 20ft

Hence, the length of the base of the parallelogram is 20 ft

14.30:A haunted house has six windows. In how many ways can Georgie the Ghost enter the house by one window and leave by a different window?

Answers

Answer:

30 ways

Step-by-step explanation:

Possible ways to enter

6 windows

Possible ways to exit

5 windows, since same window entered is not used

Total number of ways is

6*5 = 30

2. The radius of a circle is 9 yards. Find the diameter.

Answers

Answer:

18

Step-by-step explanation:

9 x 2 = 18

radius x 2 = diameter

A rectangle is drawn on a coordinate plane. Three vertices of the rectangle are points A(−4,3), B(2,3), and C(2,−1). Point D is the fourth vertex of the rectangle.

What is the distance from point C to point D?



Enter your answer in the box.

units

Answers

Answer:

6 units

Step-by-step explanation:

D is at (-4, -1). 2 + 4 = 6.

The answer is 6 units

I also need help on this one

Answers

the answer is A because 12 x 6 x 4 = 288
The answer is 288 because 12 x 4 gives you the base 48 and the 48 x 6 is 288

Length x width = base
Base x height = area

12 x 4 = 48
48 x 6 = 288

How many feet are in 2,241 inches? (1 foot = 12 inches)
-186.75 feet
-62.25 feet
-747.00 feet
-189.25 feet

Answers

Answer: A) 186.75 feet

Step-by-Step Explanation:

1 foot = 12 inches
1 inch = 1/12 foot

Therefore, Inches to Feet :-
= 2241/12
= 186.75 feet
A- 186.75 feet

explanation: it just is because if you do the math

Ricardo paid for 3 pounds of oranges with a $10 bill. He got back $8.20. What was the cost of 1 pound of oranges?

Answers

Answer:

6 cents

Step-by-step explanation:

10 - 8.20 = 1.8

1.8 / 3 = 0.6

Hope this helps you :D

Answer: $0.60

Step-by-step explanation:

Facts

got 3 lbs of oranges

paid with $10, got 8.20 in change.

Step 1: Find how much the 3lbs of oranges actually cost (actual total)

10-8.20= 1.8

Step 2: Find the unit rate (cost per lb)

Cost per lb. Divide the cost by the number of pounds, as shown:

1.8/3= 0.6

Step 3: Checks

[hypothetically], each pound costs 0.60.

Buying 3 pounds of oranges, multiply 0.6x3= 1.8.

Now, you pay with $10.

To find how much change you get, subtract 10-1.8= 8.20

These computations are correct, and the resulting facts match those given in the question. This is how I double check the answer is accurate.

Hence, each pound costs $0.60, or 60 cents.

Hope this helps :)) brainiest would be appreciated :D

Mr. Jackson is ordering kazoos for his second, third, and fourth grade music classes.
The kazoos come in boxes of 8. There are 26 second graders, 24 third graders, and 30 fourth graders.
How many boxes of kazoos does Mr. Jackson need to order so that every student will receive a kazoo?
Enter your answer in the box.

Answers

Answer:

The boxes of kazoos Mr. Jackson needs to order (26 + 24 + 30) ÷ 8.

We have given that,

There are 26-second graders, 24 third graders, and 30 fourth graders.

What is the expression?

An expression, in math, is a sentence with a minimum of two numbers and at least one math operation contain in it.

The amount of kazoos needed is 1 for every student

26 + 24 + 30

Since 8 come in each box, you divide by 8  

To get your answer of (26 + 24 + 30) ÷ 8.

The answer is 10.


You have to add 24 with 26 with 30 then divide that by 8 and which will get you ten. Ten is how many packages you Mr. Jackson would need for his 2nd, 3rd, and 4th grade classes

PLEASE HURRY AND FAST Raul's soccer team enters a tournament. He estimates that
his team has a 50% chance of winning each of the three
games they play. If they win all three games, they move to
the championship. To model his team's chance of going to
the championship, Raul performs a simulation using a
coin.
Let heads (H) represent a win.
• Let tails (T) represent a loss.
The results of the simulation were:
HTH HHH TTT HTT HHT
TTT HTT HTT HTT HHH
НHТ HTT ТTТ TTT HTH

Answers

Answer:

A. There were NOT 3 successes . there were only two.

Step-by-step explanation:

Answer: there were only two success

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