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Volume of Prisms & Pyramids Practice
Find the volume of each figure. Be sure to include the units, and circle or box your answers.
1)
4 in
2)
12 m
10 m
2 in
2 in
2 in
2 in
3)
4 ft
4)
10 yd
8 yd
6 yd
8m
6m
9 yd
5 ft
12 ft
5)
11 m
6)
4 ft
12 ft
12 ft
4 ft
2 ft
10 m
4m
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Worksheet by Kuta Software LLC

7)
7 ft
8)
8 m
3m
4m
9)
12 in
9 in
9 in
10)
11 mi
8 ft
6 ft
5m
10 ft
12 in
12 in
11)
12)
6 mi 6 mi
8 mi
8 mi
10 in
10 in
3 in
7 in
5 mi
6 mi
3 in
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6 mi
Worksheet by Kuta Software LLC

Answers

Answer 1
Not sure because I don’t see the figures I’m supposed to find the volume of

Related Questions

You've been given a twenty dollar bill that you need to break into smaller bills and coins in order to make change. You break it into three (3) five-dollar bills, and three (3) one-dollar bills. How many quarters do you need to complete the conversion?

Answers

Answer:

8 quarters

Step-by-step explanation:

You need to break the $20 into smaller bills. The smaller bills value has to be equal to $20. So far you have three $5 bills and three 1$ bills, so the current value is 3*$5 + 3*$1= $18

The value you need to add more will be $20- $18= $2

You need to add $2 more value to the smaller bills and you want to do it using quarters($0.25). The number of the quarter you need will be: $2/ $0.25= 8 quarters

Let's start by calculating the total value of the five-dollar bills and one-dollar bills:
You have 3 five-dollar bills, and each is worth $5, so:
3 five-dollar bills × $5 per bill = $15
You also have 3 one-dollar bills, and each is worth $1, so:
3 one-dollar bills × $1 per bill = $3
Now, let's add the value of the five-dollar bills and one-dollar bills together:
$15 (from five-dollar bills) + $3 (from one-dollar bills) = $18
You started with a twenty-dollar bill, which is worth $20, so we subtract the total value of the bills you have from $20 to find out how much is left to reach $20:
$20 (initial amount) − $18 (value of bills) = $2
You need to make up this remaining $2 with quarters. Since each quarter is worth $0.25 (25 cents), we divide the remaining amount by the value of each quarter to find out how many quarters you need:
$2 ÷ $0.25 per quarter = 8 quarters
Therefore, you need 8 quarters to complete the conversion to $20.

i need help with thissss!!

Answers

Answer: D

Step-by-step explanation:

Paul's Current score is 42, x = paul's awaiting score

Paul's score has to be greater than 174

Current score plus awaiting score must be greater than 174

Answer:

d. 42 + p > 174

Step-by-step explanation:

Since Paul needs to score more than 174, the sign needs to be > and not ≥ because he does not want to equalize the score of 174.

Since he currently has a score of 42, he needs to add another score. Assuming the next score he needs is p,

42 + p is the equation.

3 fifths÷7 eighths please help

Answers

Answer:

24/35

Step-by-step explanation 3/5 times 8/7 equals 24/35

Triangle 1 has vertices at (A,B), (C,D), and (E,F). Triangle 2 has vertices at (A,3B), (C,3D), and (E,3F). What can you conclude about triangle 2?

(A)Triangle 2 is not congruent to triangle 1 because the transformation applied was not a rigid motion.
(B)Triangle 2 is congruent to triangle 1 because a reflection is a rigid motion.
(C)Triangle 2 is not congruent to triangle 1 because it is not a translation of triangle 1.
(D)You cannot tell because you do not know where the points are in the plane.

Answers

Answer:

Step-by-step explanation:

A

Answer:

Answer A

Step-by-step explanation:

A cereal company packages 305.50 lbs of cereal an hour. Each cereal box contains 3.25 lbs of cereal. How many boxes of cereal are packaged in an 812 -hour day?
A


A) 752 boxes




B) 757 boxes

C


C) 799 boxes




D) 858 boxes

Answers

In an 812-hour day, a cereal company that packages 305.50 lbs of cereal an hour would package approximately 76,331 boxes of cereal, given each box contains 3.25 lbs of cereal. The provided options in the question do not match this result.

The subject of this question is Mathematics, specifically division used in a real-world context regarding a cereal company's packaging process. To find the number of cereal boxes produced in an 812-hour day, we need to divide the total weight of cereal packed in a day by the weight of cereal in each box.

Firstly, we find out the total amount of cereal produced by multiplying the hourly rate by the number of hours. This will give us: 305.50 lbs/hour x 812 hours = 248,071 lbs.

Next, we divide the total amount of cereal by the weight of cereal in each box to find the number of boxes. Therefore, 248,071 lbs ÷ 3.25 lbs/box = 76,331 boxes.

None of the options (A) 752 boxes, (B) 757 boxes, (C) 799 boxes, (D) 858 boxes match our result. There might be an error in the question or the choices provided.

Learn more about Division in Real-world Context here:

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Which expression is equivalent to StartRoot negative 80 EndRoot?

Answers

Answer:

[tex]4i\sqrt{5}[/tex]

Step-by-step explanation:

[tex]\sqrt{-80}[/tex]

[tex]\sqrt{80*i^2}[/tex]

i^2 is -1

[tex]i\sqrt{80}[/tex]

[tex]i\sqrt{4^2 * 5}[/tex]

[tex]4i\sqrt{5}[/tex]

Answer:  [tex]4i\sqrt{5}[/tex]

Answer:

[tex]4i\sqrt{5}[/tex]

Step-by-step explanation:

what Is x if y=2x+7?

Answers

The slope is 2 and the y intercept 7

Answer:

x = (y - 7)/2

Step-by-step explanation:

from the question given  y=2x+7 , so we are to find the value of x now we first make x the subject of the formulae from  y=2x+7

 y=2x+7............. equation 1

y- 7 = 2x

divide both sides by 2

(y-7)/2= 2x/2

x = (y - 7)/2

to check if your answer is correct

put the value of x in to equation 1

y=2x+7............. equation 1

y = 2[ (y-7)/2] + 7

y = y - 7 + 7

y = y.......... proved

his season, Lisa's lacrosse team has won $\frac 23$ of their home games (games played at Lisa's school), but just $\frac 25$ of their away games (games played at other schools). In total, Lisa's team has won $26$ games out of $49$ games they have played. How many home games has Lisa's team played?

Answers

Answer:

24 Home games

Step-by-step explanation:

let [tex]x[/tex] denote the number of home games played, and [tex]y[/tex] denote the number of home games played. We are given the total number of games played as 49

and total wins as 26.

The problem can be expressed in equation form as:[tex]\frac{2}{3}x+\frac{2}{5}y=26[/tex]...[tex]eqtn1[/tex]

Total games is expressed as [tex]x+y=49[/tex]...[tex]eqtn2[/tex]

Rewrite equation 1 to remove fractions:

[tex]\frac{2}{3}x+\frac{2}{5}y=26\\=>5x+3y=195\\[/tex]

Solve for x to obtain total home games played.

Making [tex]x[/tex] the subject in eqtn 2:

[tex]x=49-y[/tex]

Substitute for [tex]x[/tex] in eqtn1:

=>

[tex]5(49-y)+3y=195\\-5y+3y=195-245\\-2y=-50\\y=25[/tex]

To obtain [tex]x[/tex], replace y value in eqtn2:

[tex]x+y=49\\y=25\\Therefore\\x=49-25\\x=24[/tex]

Home games played is 24

Oxnard Petro Ltd. is buying hurricane insurance for its off-coast oil drilling platform. During the next five years, the probability of total loss of only the above-water superstructure ($320 million) is .30, the probability of total loss of the facility ($820 million) is .30, and the probability of no loss is .40. Find the expected loss. (Input the amount as a positive value.) Expected Loss

Answers

Answer:

Expected loss = $342 million.

Step-by-step explanation:

The formula to compute the expected loss is:

[tex]E(Loss)=\sum Loss\ amount\times P (Loss)[/tex]

Given:

P (Loss)      Amount of loss

0.30            $320 million

0.30            $820 million

0.40            $0

Compute the expected loss as follows:

[tex]E(Loss)=\sum Loss\ amount\times P (Loss)\\=(0.30\times320)+(0.30\times820)+(0.4\times0)|_{in\ millions}\\=96 +246+0\\=\$342\ million[/tex]

Thus, the expected loss is $342 million.

Which expression is equivalent to 2(a+2b)- a-2b

Answers

Answer:

a + 2b

Step-by-step explanation:

Perform the indicated multiplication.

This results in 2a + 4b - a - 2b, whiin in turn reduces to

a + 2b


£150 is divided between David, Mark & Henry so that David gets twice as much as Mark, and Mark gets three times as much as Henry. How much does David get?

Answers

Answer:

David receives £90

Step-by-step explanation:

Let David's share be D

Let Mark's share be M

Let Henry's share be H

From the question, we obtained the following data:

David gets twice as much as Mark i.e

D = 2M

M = D/2

Mark gets three times as much as Henry i.e

M = 3H

H = M/3

H = (D/2) /3

H = D/6

The sum of their shares is £150 i.e

D + M + H = 150

D + D/2 + D/6 = 150

Multiply through by 6 to clear the fraction

6D + 3D + D = 900

10D = 900

Divide both side by the coefficient of D i.e 10

D = 900/10

D = 90

Therefore, David receives £90

please help 100points and BRAINLYEST!!!!!!!!

Drag each value to the correct location on the table.

Identify whether each cube root or square root lies between 2 and 3, 4 and 5, or 9 and 10.

Answers

sqrt of 7 goes between 2 and 3

Square root of 20 goes between four and five

Square root of 90 goes between nine and 10

The 101 goes between 4 &5

The 3 90 goes between 4&5

The 3 20 goes between two and three

And 3 800 goes between 9&10


Answer:

sqrt of 7 goes between 2 and 3

Square root of 20 goes between four and five

Square root of 90 goes between nine and 10

The 101 goes between 4 &5

The 3 90 goes between 4&5

The 3 20 goes between two and three

And 3 800 goes between 9&10

15 arches decreased by 80%

Answers

If it decreases by 80٪, then only 20٪ remains.

15×20٪=15×20/100=15×0.2=3

Answer: 3

Answer:

3 arches

Step-by-step explanation:

Given

15 arches decreased by 80%.

First get 80% of 15 arches

That’s 80%/100% x 15

0.8 x 15

12 arches

Now subtract 12 arches from 15 arches to get the decrease

Decrease = (15 - 12) arches

= 3 arches

Therefore, 80% decrease of 15 inches is equal to 3 arches

What is the solution of the system of equations?
5x + 4y = -22
2x – 3y = 5

Answers

Answer:

y = 3

x =7

Step-by-step explanation:

to solve this system of equations using substitution method we say, let

5x + 4y = -22 .................... equation 1

2x – 3y = 5...................... equation 2

from equation 2

2x - 3y = 5

2x = 5 + 3y

divide both sides by 2

we have;

2x/2 = (5+3y)/2

x =(5+3y)/2................................ equation 3

put x = (5+3y)/2 in equation 1

5x + 4y = -22 .................... equation 1

5(5+3y)/2 + 4y = -22

(25 + 15y)/2 + 4y = -22

multiply through by 2

25 + 15y + 8y = -44

25 + 23y = -44

collect the like terms

23y = -44 - 25

23y = -69

divide both sides by 23

23y/23 = -69/23

y = 3

put the value of y= 3 into equation 3

x =(5+3y)/2................................ equation 3

x = (5+3(3)]/2

x = 5+9/2

x =14/2

x =7

A ball is thrown in the air from a ledge. Its height in tesspresented by
R -16(x^2
- 5x-6), where x is the number of seconds since the ball has
been thrown. The height of the ball is 0 feet when it hits the ground.
How many seconds does it take the ball to reach the ground?

Answers

Answer:

6 .74 seconds

Step-by-step explanation:

The height of the ball is given by the equation:

[tex]R(x) = - 16( {x}^{2} - 5x - 6)[/tex]

When the ball hit the ground, then;

[tex]R(x) = 0 \\ - 16( {x}^{2} - 5x - 6) = 0 \\ {x}^{2} - 5x - 6 = 0 \\ x = -0.74 \: Or \: 6.74[/tex]

We discard x=-0.74 since time is not negative.

Therefore the ball hit the ground after 6.74 seconds.

Solve for x: 4/7 = x-1/12

Answers

Final answer:

To solve for x in the equation 4/7 = x-1/12, combine the fractions, cross multiply, and solve to find x=3 and x=-7.

Explanation:

Solve for x: 4/7 = x-1/12

To solve for x, first combine the fractions on the right side: 4/7 = (12x - 1)/12. Then, cross multiply to get 12*4 = 7*(12x - 1). Solve for x to find x=3 and x=-7.

By substituting these values back into the original equation, which is x is equal to (12x-1)/12, you can verify these solutions.

Write the first six terms of the sequence.
a = -n²+6
en oo
4, 2, 0, -2, -4,-6
5, 2, -3, -10, -19, -30
2, -3, -10, -19, -30, -43
6, 5, 2, -3, -10, -19

Answers

Step-by-step explanation:

1st term = -n²+6

= -(1)²+6

= -1+6

=5

2nd term = -(2)²+6

= -4+6 = 2

3rd term= -(3)²+6

=-9+6 = -3

4th term= -(4)²+6

= -16+6 = -10

5th term = -(5)²+6 = -25+6 = -19

6th term = -(6)²+6 = -36+6 = -30

5,2, -3,-10,-19, -30

optionB

create a pattern for the rule a x 3+2

Answers

it is 3+2 = 5 plus a = 5a

How do you find the slop from this?

Answers

Answer:

Look at the rise over run

itd be 10/10 or 1

take two of the coordinates located on the graph and perform the rise over run technique. you can also subtract Y2-Y1 over X2-X1. hope this helps!

Which statement about fractions that are equivalent to 1 is correct?The denominator is greater than the numerator. The denominator is equal to the numerator. The numerator is greater than the denominator. The denominator is twice the numerator.

Answers

The denominator is equal to the numerator.

Step-by-step explanation:

For a fraction to be equal to 1, the value of denominator and the value of numerator should be same.For instance, the fraction 2/2 = 1 because the number in the denominator is 2 and the numerator is also 2.Both cancel out each other that is equal to 1.

there are 110 calories per 28.4 grams of cereal X. find how many calories are in 42.6 grams of the cereal

Answers

Answer:

165 calories

Step-by-step explanation:

110 cal/28.4 g in Cereal X

How m any cals in 42.6 g of Cereal X

110/x=28.4/42.6

28.4x=4686

x=165

Therefore, 165 calories

The number of calories in 42.6 grams of cereal X will be 165 calories.

What are ratio and proportion?

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

There are 110 calories per 28.4 grams of cereal X. Then the number of calories in each gram is calculated as,

Rate = 110 / 28.4

Rate = 275 / 71  calories per gram

Then the number of calories in 42.6 grams of the cereal X will be given as,

⇒ (275 / 71) x 42.6

⇒ 275 x 0.60

⇒ 165

The number of calories in 42.6 grams of cereal X will be 165 calories.

More about the ratio and the proportion link is given below.

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Multiply (x^2 + 2x + 3)(4x^2 - 2x + 1)​

Answers

Answer:

4x^4 + 6x^3 + 9x^2 − 4x + 3

Step-by-step explanation:

Simplify the expression. 4x^4 + 6x^3 + 9x^2 − 4x + 3

Answer:

4x^4 + 6x^3 + 9x^2 - 4x + 3

Step-by-step explanation:

Distribute (x^2 + 2x + 3)(4x^2 - 2x + 1)​

You will get 4x^4 - 2x^3 + x^2 + 8x^3 - 4x^2 + 2x + 12x^2 -6x + 3

Then you need to combine like terms

And you will get the answer:

4x^4 + 6x^3 + 9x^2 - 4x + 3

j divided by 9 is 5.
Solve for j.
j=

Answers

Answer:

j = 45

Step-by-step explanation:

j/9 = 5

Multiply both sides by 9: j = 45

The required value of j will be 45 when j divided by 9 is 5.

What is the division operation?

In mathematics, divides left-hand operands into right-hand operands in the division operation.

For example, 62÷31 = 2

To solve for j, we are trying to find the value of j that makes the equation "j / 9 = 5" true.

We can start by setting up the equation:

j / 9 = 5

This equation says that the result of dividing j by 9 is equal to 5.

To solve for j, we can multiply both sides of the equation by 9, the denominator of the fraction on the left-hand side:

j = 9 × 5

= 45

This shows that j = 45 is the solution to the equation. In other words, if we substitute 45 for j in the equation "j / 9 = 5", the equation becomes true:

45 / 9 = 5

Therefore, the value of j that makes the equation "j / 9 = 5" true is 45.

To learn more about the division operation click here :

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John and Liz are sharing a large pizza. John ate 1/3 of the pizza, and Liz ate 1/4 of the pizza. How much of the pizza is left?

Answers

Answer:

5/12

Step-by-step explanation:

Final answer:

After John ate 1/3 of the pizza and Liz ate 1/4, we convert these fractions to have a common denominator of 12, resulting in 4/12 + 3/12 = 7/12 eaten. Subtracting this from the whole gives us 5/12 of the pizza remaining.

Explanation:

John and Liz are sharing a large pizza. To determine how much of the pizza is left after John has eaten 1/3 and Liz has eaten 1/4, we need to add those fractions together and subtract the sum from the whole pizza, which is 1 (representing the entire pizza).

First, we find a common denominator, which in this case is 12, so we convert 1/3 to 4/12 and 1/4 to 3/12. Adding these fractions, we get 4/12 + 3/12 = 7/12.

Now we subtract the portion eaten from the whole pizza: 1 - 7/12 = 5/12 of the pizza is left.

A circle has a circumference of 18. It has an arc of 6. What is the central angle of the arc, in degrees?

Answers

Answer:

Step-by-step explanation:

C=2πr

18=2×3.14×r

18=6.28r

r=2.88

Arc of a circle

A=®/360°πr

6=®/360°×3.14×r

®=239°

6

Answer:

120

Step-by-step explanation:

A carpenter needs 3 minutes to cut a board into 5 equal sections. If each cut takes the same length of time, at what rate is the carpenter cutting?

Answers

Answer:

3/180= 60 seconds = 1m/per cut or 60 sec/per cut.

Step-by-step explanation:

This is 3 cuts executed from a board to get 5 parts.

Answer:

he cuts 1.6 section of a board in one minute

Step-by-step explanation:

They're telling you that it takes 3 minutes for the carpenter to cut one board into 5 qual section. Therfore how many sections he's cutting in one minute divide the 5 by three. With that you will have the rate

4. A health club manager wants to determine

whether the members would prefer a new

sauna or a new steam room. The club surveys

50 of its 600 members. What is the population

of this study?

Answers

Answer: 600 members of the club

Step-by-step explanation:

In a statistical study ,  a population is a large group of observations by the researcher's  point of view regarding the objective of the study.

A sample is a subset of the population that represents the entire population.

Here , we are given that ,

The club surveys  50 of its 600 members.

Clearly , Population = 600 members of the club

Sample = 50 members

Hence, the population of this study is "600 members of the club " .

How can you determine whether a triangle is a right triangle

Answers

Answer:

if there is a right angled square shape at the angle

Answer: MARK BRAINLIEST!!!!!!!!!

Because its the only triangle that has a 90 degree angle

Step-by-step explanation:

Help please! Thank you

Answers

The correct answer is A.

does anyone know what 2/3 x= 8. So the question is what does x equal too

Answers

Answer:

x = 12

Step-by-step explanation:

⅔x = 8

x = 8 × 3/2

x = 12

Answer:

12

Step-by-step explanation:

8 divided by 2/3 = 12.01 so 12.

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You gaining only if someone else loses b. The allocation of the pieces of the total economic pie- if you eat the piece, I cannot consume it c. Ignores the possibility of the total pie growing itself d. All of the above HELP PLEASE 98 pointsGiven: BD is an altitude of ABC .Prove: sinAa=sinCcTriangle A B C with an altitude B D where D is on side A C. side A C is also labeled as small b. Side A B is also labeled as small c. Side B C is also labeled as small a. Altitude B D is labeled as small h.Select from the drop-down menus to correctly complete the proof.StatementReason BD is an altitude of ABC .Given ABD and CBD are right triangles.Definition of right trianglesinA=hc and sinC=hacsinA=h and asinC=hcsinA=asinCcsinAac=asinCacDivision Property of EqualitysinAa=sinCcSimplify. Which of the following statements is true concerning the distribution of safe payments? The distribution of safe payments assumes that any capital deficit balances will prove to be a total loss to the partnership. Safe payments are equal to the recorded capital balances of partners with positive capital balances. The distribution of safe payments may only be made after all liabilities have been paid. In computing safe payments, partners with positive capital balances are assumed to absorb an equal share of any deficit balance(s). There are no safe payments until the liquidation is complete. A policy in which all exit doors for a building stay unlocked during a fire is an example of what type of policy? If f(x) = 2x - 4 and g(x) = x^2+3, find each value.19. (f - g)(x)20. (f g)(x) You work for a marketing firm that has just landed a contract with Run-of-the-Mills to help them promote three of their products: penguin patties, flopsicles, and kipples. All of these products have been on the market for some time, but, to entice better sales, Run-of-the-Mills wants to try a new advertisement that will market two of the products that consumers will likely consume together. As a former economics student, you know that complements are typically consumed together while substitutes can take the place of other goods.Run-of-the-Mills provides your marketing firm with the following data: When the price of penguin patties increases by 5%, the quantity of flopsicles sold decreases by 4% and the quantity of kipples sold increases by 5%. Your job is to use the cross-price elasticity between penguin patties and the other goods to determine which goods your marketing firm should advertise together.Complete the first column of the following table by computing the cross-price elasticity between penguin patties and flopsicles, and then between penguin patties and kipples. In the second column, determine if penguin patties are a complement to or a substitute for each of the goods listed. Finally, complete the final column by indicating which good you should recommend marketing with penguin patties.Relative to Penguin Patties Relative to Penguin Patties Recommend Marketing- with Penguin PattiesCross-Price Elasticity- Complement or Substitute of Demand Flopsicles Kipples Digital subscriber lines: are very-high-speed data lines typically leased from long-distance telephone companies. are assigned to every computer on the Internet. operate over existing telephone lines to carry voice, data, and video. have up to twenty-four 64-Kbps channels. operate over coaxial cable lines to deliver Internet access. Which German artist published theoretical writings and manuals on the technical concerns of painting? Grnewald Hans Baldung Grien Drer All of the above Steam Workshop Downloader