(You will get brainliest if you give a long answer) You have recently purchased a new backpack as show in the picture. The main section of the backpack is made of a rectangular prism and half a cylinder. The front pocket is also a rectangular prims. Use the diagram to find the volume of your new backpack.
Explain how you calculated the answer using complete sentences and proper grammar.

Answers

Answer 1

*see attachment for diagram

Answer:

Volume of new backpack = 1,299.84 in.³

Step-by-step explanation:

Volume of the new back pack = volume of the front pocket + volume of the main section of the backpack

✔️Volume of the front pocket = volume of rectangular prism = L*W*H

L = 8 in.

W = 4 in.

H = 2 in.

Volume of the front pocket = 8*4*2 = 64 in.³

✔️Volume of the main section of the back pack = volume of the rectangular prism + volume of the half cylinder

= L*W*H + ½(πr²h)

L = 12 in.

W = 10 in.

H = 7 in.

r = 6 in.

h = 7 in.

Plug in the values into the equation

Volume of the main section of the backpack = 12*10*7 + ½(π*6²*7)

= 840 + ½(791.68)

= 1,235.84 in.³

✅Total volume of the new backpack = 64 + 1,235.84 = 1,299.84 in.³

(You Will Get Brainliest If You Give A Long Answer) You Have Recently Purchased A New Backpack As Show

Related Questions

If the similarity ratio of two similar solids is 3 : 13, what is the ratio of their
corresponding areas? What is the ratio of their corresponding volumes?

Answers

Answer:

Below in bold.

Step-by-step explanation:

Ratio of areas is 3^2 : 13^2

= 9 : 169.

Ratio of volumes = 3^3 : 13^3

= 27 : 2197.

What is the quotient? 3806/ 22

Answers

Answer:

173

Step-by-step explanation:

Brainliest please

Answer:

the answer is 173

Step-by-step explanation:

hope it hlp

Which of the fractions shown has the greatest value?

24

47

13

49

Answers

Answer:

i’m pretty sure it should be 49..?
I think is 49 since is the bigger number lol

BRANILYEST TO FIRST CORECT AWNSER

Answers

Answer:

the answer to your question is D

Step-by-step explanation:

the image is dilated by 1/2 then rotated 180 degrees about the origin


Given: cos 0 = 35/37

Find: cos 20

Answers

Answer:

Step-by-step explanation:

Given sin = .89, tan = 1.98, calculate any other trigonometric values that are available

Calculate csc(x) given sin(x):

csc(x)  =   1

  sin(x)

csc(x)  =   1

  .89

csc(x) = 1.123595505618

Calculate cot(x) given tan(x):

cot(x)  =   1

  tan(x)

cot(x)  =   1

  1.98

cot(x) = 0.50505050505051

Calculate cos(x) given sin(x) and tan(x):

tan(x)  =   sin(x)

  cos(x)

Cross multiplying, we get:

tan(x) x cos(x) = sin(x)

Divide each side of the equation by tan(x):

tan(x) x cos(x)  

tan(x)

=

 

sin(x)

tan(x)

cos(x)  =   .89

  1.98

cos(x) = 0.44949494949495

Calculate sec(x) given cos(x):

sec(x)  =   1

  cos(x)

sec(x)  =   1

  0.44949494949495

sec(x) = 2.2247191011236

Total Summary:

sin(x) = .89

cos(x) = 0.44949494949495

tan(x) = 1.98

csc(x) = 1.123595505618

sec(x) = 2.2247191011236

cot(x) = 0.50505050505051

please help me pass please I need the most help ever is someone knows how to do these pls hmu on at ixgweeb

Answers

Answer:

tanx=b/c

sinx=b/a

cosx=c/a

Step-by-step explanation:

Answer:

REVENGE

Step-by-step explanation:

the perimeter of the garden is 10x + 8. find the missing side length

Answers

subtract the sum of the known sides from the perimeter to find the length of the missing side.


True or false: 12 + 18 is equivalent to 6(2+3).

Answers

The answer is True!!

Answer: True

Step-by-step explanation:

please find the value of X for number 4 5 and 6 thank you :)

Answers

Answer:

4. x = 6

5. x = 31

6. x = 34

Step-by-step explanation:

4. vertical angles

- 36/6 = 6

5. supplementary angles

180 - 56 = 124

124/4 = 31

6. complementary angle

90 - 22 = 68

68/2 = 34

Answer:

4. x = 6°

5. x = 31°

6. x = 34°

Step-by-step explanation:

4. Vertical Angles theorem states that the two opposite angles formed by 2 intersecting lines are congruent.

6x = 36°

x = 36 / 6

x = 6°

5.

180° - 56° = 4x

124° = 4x

x = 31°

6.

90° - 22° = 2x

68° = 2x

x = 34°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Find the value of x

Answers

Answer:

Hello! answer: x = 4

Step-by-step explanation:

Because this is a 180 degree angle it will add up to 180 so 8 × 4 = 32 and 32 + 120 = 152 and 7 × 4 = 28 and 28 + 152 = 180 so 4 is x HOPE THAT HELPS!!

180 degree line-

180 = (8x + 120)

-120

60 = 8x

/8

7.5

x = 7.5

7(7.5) = 52.5

A tree and a pole are on horizontal ground. The angle of
elevation to the top of the tree from the top of the pole is 15
The tree is 50 m tall and the pole is 40 m tall. Find the distance
between the tree and the pole.​

Answers

10 in the answer because you would subtract and 50-40 is 10

Solve -7 2/3+(-5 1/2)+8 3/4=

Answers

Answer:

-53/12

Step-by-step explanation:

Answer:

Exact Form: -53/12

decimal form: -4.416

mixed number -4 5/12

Step-by-step explanation:

convert mixed numbers into improper fractions: -2 3/3 +(5 1/2)+ 8 3/4

convert mixed numbers into improper fractions: =11/2  =[tex]-\frac{23}{3}+\left(-\frac{11}{2}\right)+\frac{35}{4}[/tex] =

[tex]-\frac{23}{3}+\left-\frac{11}{2}\right+\frac{35}{4}[/tex][tex]=-\frac{92}{12}-\frac{66}{12}+\frac{105}{12}[/tex]

[tex]\frac{-92-66+105}{12}[/tex]

add/subtract the numbers: -92-66+105=-53

-53/12

apply the fraction rule: [tex]\frac{-a}{b} = -\frac{a}{b\\}[/tex]

[tex]=-\frac{53}{12}\\[/tex]

What positive integer is closest to the value of the square root of 230 ?​

Answers

9514 1404 393

Answer:

  15

Step-by-step explanation:

Your calculator can tell you √230 ≈ 15.17. The closest integer is 15.

__

If you have memorized the squares of small integers, you know that 15² = 225 and 16² = 256. 230 is closer to 225 than to 256, so √230 will be closer to 15.

Scientists are studying a bacteria sample. The
function f(x) = 245(1.12) gives the number of
bacteria in the sample at the end of x days.
Which statement is the best interpretation of one of
the values in this function?
The initial number of bacteria is 12.
The initial number of bacteria decreases at a rate of 88% each
day.
The number of bacteria increases at a rate of 12% each day.
The number of bacteria at the end of one day is 245.

Answers

The best interpretation of one of the values of the function is that the rate  increases by 12% each day.

Step-by-step explanation:

Given:

F(x)=245(1.12)^x

To Find:

statement is the best interpretation of one of the values of the function

Solution:

Depending upon the values given the statement can be developed

As the function is itself the exponential growth structure ,

In this the statement ,Growth can be significantly depends on all factor

Such as time period initial value and rate.

But here the formula is simplified as ,

Here A= initial value r=rate and t =time period

Here A=245 and 1+r=1.12

i.e r=0.12 i.e 12%

Hence the rate give the best interpretation and more information about the function and scenario.

plz help im timed!!!!​

Answers

Answer:

B

Step-by-step explanation:

The answer you picked is correct because you need to use the distributive property.

Answer:

3(3y-1)

Step-by-step explanation:

Good job! Looks like you have selected the correct answer. 3(3y-1) simplifies to 9y-3.

Add to solve: 2 100 + 7 10​

Answers

Answer: B

Step-by-step explanation: 72/10. Because 2/100 + 7/10 is 0.72 and you get the point lol.

NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ WILL REPORT FAKE ANSWERS

Answers

Answer:

B) (-∞,1)

Step-by-step explanation:

g(x)=-2f(x)+1

g(x)=-2(10^x)+1

Therefore, x can be any real number, but y can be any real number that's less than 1. This means B is correct.

Which choice is equivalent to the product below when x > 0

Answers

Answer:

c

Step-by-step explanation:

[tex] \sqrt{ \frac{1}{ {x}^{2} } } \times \sqrt{ \frac{ {x}^{2} }{81} } = \frac{1}{x} \times \frac{x}{9 } = \frac{1}{9} [/tex]

The value of the expression [√(1 / x²)] · [√(x² / 81)] will be 1/9. Then the correct option is C.

What is the value of the expression?

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below,

⇒ [√(1 / x²)] · [√(x² / 81)]

Simplify the equation, then we have

⇒ [√(1 / x²)] · [√(x² / 81)]

⇒ [1/x] · [x/9]

⇒ 1/9

The value of the expression [√(1 / x²)] · [√(x² / 81)] will be 1/9. Then the correct option is C.

More about the value of the expression link is given below.

https://brainly.com/question/23671908

#SPJ7

0.2(7x+18)
Equals what


A. 14x+36
B. 14x+18
C. 1.4x+3.6

Please help...

Answers

Answer:

C

Step-by-step explanation:

0.2(7x + 18) ← multiply each term in the parenthesis by 0.2

= 1.4x + 3.6 → C

the student council is having a dinner fund-raiser. the cost to rent the banqet is 135. the cost per plate is $5. if the tickets to the dinner banquet are 12$ per person, how many people must attend in order for the school to make a profit?

Answers

Answer: 48

Step-by-step explanation:

48 people x $12 = $576

$576 – $135 renting banquet = $441

48 people x $5 plate = $240

$441 – $240 = $201

whats 6 divided by 10?

Answers

Answer:

1 r 4

Step-by-step explanation:

 0 1

6 1 0

− 0  

 1 0

−   6

   4

what is the distance between the first integer that is less than square root 40 amd the first integer that is greater than square root of 125?​

Answers

Answer:

6

Step-by-step explanation:

[tex]\sqrt{40} = 6.32 so 6 \\\sqrt{125} = 11.18 so 12\\12 - 6 = 6[/tex]

a circle has a radius of 9 inches. In inches, what is the length of the arc intercepted by central angle of 3.25 radians

Answers

Answer:

[tex]\boxed {\boxed {\sf 29.25 \ inches}}[/tex]

Step-by-step explanation:

Since we are given the central angle in radians, we should use the following formula for the arc length.

[tex]s= \theta r[/tex]

Where s is the arc length, θ is the angle in radians, and r is the radius.

We know this circle has a radius of 9 inches and the central angle is 3.25 radians.

θ= 3.25 r= 9 in

Substitute the values into the formula

[tex]s= (3.25)( 9 \ in)[/tex]

Multiply.

[tex]s= 29.25 \ in[/tex]

The arc length is 29.25 inches.

the length of a rectangle is 10cm greater than it's width,the perimeter is 70cm.find the length nd width

Answers

Step-by-step explanation:   TS 5 15    8 36

L = W + 10  cm

Perimeter = 2(L + W)

Perimeter = 70  = 2(W +10 +W)

                70/2  = 2(W +10 +W) / 2

                   35  =  (W +10 +W)

                   35  =  2W +10  

            35 - 10  =  2W +10  - 10

                  25  = 2W

                  25/2  = 2W/2

                  25/2 cm = W         W = ??  cm

L = W + 10  cm

L = 25/2 + 10  cm                     L  = ??  cm

Which of the following measures cannot be determined from a box plot?
select all that apply.
A. Interquartile range
B. Mean
C. Mean absolute deviation
D. Median
E. Mode
F.Range​

Answers

3 Answers:B) MeanC) Mean absolute deviationE) Mode

==========================================================  

Explanation:

The box plot, aka "box-and-whisker plot", visually represents five things. These things are:

MinimumQ1 = first quartileMedian (sometimes referred to as Q2 or second quartile)Q3 = third quartileMaximum

This list of five items is known as the five number summary.

The min is the tip of the left most whisker, assuming there aren't any small outliers. The max is the opposite side, being the tip of the right most whisker (assuming no large outliers). If there are any outliers, then they'll be shown as "island" dots on their own separated from the main box plot. The left and right edges of the box are Q1 and Q3 respectively. The median is the vertical line inside the box. The vertical line does not have to be at the midpoint of the left and right edges of the box. It simply needs to be somewhere in the box.

--------

Since the box plot lets us know the min and max, we can compute the range because

range = max - min

and we can also calculate the interquartile range (IQR) because

IQR = Q3 - Q1

--------

So to summarize so far, the five number summary is visually represented as the box plot. The range and IQR can be computed using items from the five number summary.

We cannot compute the mean because we would need the actual data set of values, rather than the summary data. The same goes for the mean absolute deviation (MAD) and the mode. Since your teacher is looking for things that cannot be determined from a box plot, we'll go for answers B, C and E.

In other words, we rule out choices A, D, and F because we can compute or determine those values from a box plot.

PLEASE HELP!! Find mCFD
180°
276
307
53°

Answers

Answer:

307°

Step-by-step explanation:

CF is a diameter of the circle. so, any arc connecting C and F has an arc angle of 180° (half-circle).

so, we need to add the arc angle FD.

we know the arc angle ED = 79°.

so, what is left to add is the arc angle FE.

the arc angle FE is the same as BC.

and the arc angle BC is the supplementary angle (means together they have 180°) to 132° :

BC = 180 - 132 = 48°

therefore,

the arc angle CFD = 180 + 48 + 79 = 307°

A sandwich shop offers a choice of white or wheat bread, three choices for meat (turkey, ham, no meat), and four choices for cheese (Swiss, cheddar, provolone, no cheese).

Answers

Answer:

24 different sandwich options can be assembled.

Step-by-step explanation:

Since a sandwich shop offers a choice of white or wheat bread, three choices for meat (turkey, ham, no meat), and four choices for cheese (Swiss, cheddar, provolone, no cheese), to determine how many possible sandwich options can be performed, the following calculation must be performed:

Bread = 2 options

Meat = 3 options

Cheese = 4 options

2 x 3 x 4 = X

6 x 4 = X

24 = X

Therefore, 24 different sandwich options can be assembled.

Solve for x? Please help

Answers

Answer:

x = 45°

Step-by-step explanation:

Given ,

Angles of the triangle are = 90° , 45° and x

Therefore,

x will be

=> 90° + 45° + x = 180° [Since angle sum property of triangle]

=> x = 180° - 90° - 45°

=> x = 180° - 135°

=> x = 45° (Ans)

42 42 52 53 58 58 61 what is the mean

Answers

Hello! the mean mean is 53 hope this helps!

Answer:

exact: 366/7

approximate: 52.3

Step-by-step explanation:

mean = (42 + 42 + 52 + 53 + 58 + 58 + 61)/7 = 366/7 = 52.3

Expresa la razón en su forma más simple:
20 a 105
O 20:11
5:1
04:21
O 1:2 procedimiento ​

Answers

Answer:

4:21

Step-by-step explanation:

20:105

dividir ambos por 5

4:21

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