Question

A square based pyramid has a height of 6 feet and the edge length of the base is 2 feet. A second square based pyramid is 2 feet taller and the edge length of the base is 0.5 feet greater than the first pyramid. How much greater is the volume of the second pyramid than the volume of the first pyramid? Round your answer to the nearest hundredth.


please help

Answers

Answer 1

A pyramid is a solid shape with a specified shaped base. The required answer is 8.67 cubic feet.

A pyramid is a solid shape with a specified shaped base. While a square based pyramid is a type of pyramid which has its base to be a square.

Volume of a square based pyramid = \(\frac{1}{3}\) x base area x height

Also, are of a square = length x length

So that,

i. For the first pyramid;

volume =  \(\frac{1}{3}\) x (2 x 2) x 6

            = 8 cubic feet

The volume of the first pyramid is 8 cubic feet.

ii. For the second pyramid, we have;

height = 8 feet

base side = 2.5 feet

So that.

Volume =  \(\frac{1}{3}\) x (2.5 x 2.5) x 8

             = 16.6667

Volume = 16.67 cubic meters

The volume of the second pyramid is 16.67 cubic meters.

Therefore, the volume of the second pyramid is greater than the volume of the first pyramid by;

volume of the second pyramid - volume of the first pyramid = 16.67 - 8.0

                                              = 8.67 cubic feet

Learn more about volume of pyramids at https://brainly.com/question/2786083

#SPJ1


Related Questions

Drag Each tile to the correct location. Not all tiles will be used. Match The transformation of rational function f(x)=2x/x-3 with the resulting function each tile to the correct location.

Drag Each tile to the correct location. Not all tiles will be used. Match The transformation of rational

Answers

See explanation below

Explanation:\(f(x)\text{ = }\frac{2x}{x\text{ - 3}}\)

For the first function in the box:

\(\begin{gathered} f(x)\text{ = }\frac{2x}{x\text{ - 3}}+\text{ 5} \\ 5\text{ units was added to the y coordinates. \% is positive meaning translation would be up} \\ \text{This means there is a translation of 5 units up} \end{gathered}\)

For the 2nd function (right) in the box:

\(\begin{gathered} f(x)\text{ = }\frac{-2x}{-x\text{ - 3}} \\ \text{From the above: } \\ \text{when we compared with th original fucntion, we would s}ee\text{ the x coordinate is negated} \\ \text{This is a reflection over the y ax is. In thos reflection, the y ax i}s\text{ remains the same.} \\ \text{While the x ax i}s\text{ is negated.} \end{gathered}\)

The answer is a reflection across the y - axis

For the 3rd function (bottom) in the box:

\(\begin{gathered} f(x)\text{ = }\frac{10x}{x\text{ - 3}}\text{= 5(}\frac{2x}{x\text{ - 3}}) \\ \text{Comparing, we would see 5 was multiplied to the y ax i}s \\ A\text{ multiplication that is positive is a vertical stretch} \\ \text{This is a vertical stretch by 5} \end{gathered}\)

For the 4th function (bottom) in the box:

\(\begin{gathered} f(x)\text{ = }\frac{2(x\text{ + 5)}}{(x\text{ + 5)}-3} \\ A\text{ function translation to the right = f(x - h)} \\ \text{But we have }(x\text{ + 5) = (x - (-5)); h = -5} \\ In\text{ this function, the x is translated 5 units to the left} \end{gathered}\)

Is the Ordered Pair (3. – 2) a solution to the following equation? 3x - 2y = 13

Yes, the Ordered Pair is a solution to the equation.

No, the Ordered Pair is NOT a solution to the equation.​

Answers

Yes because 3(3) +-2(-2) is 9+4 and 9+4 equals 13 so yes

a cubic block of concrete is 0.255 meters on a side. what is the volume of this block in cubic decimeters?

Answers

Answer:

We can convert the dimensions of the cubic block from meters to decimeters, since there are 10 decimeters in a meter.

0.255 meters = 2.55 decimeters

The volume of a cube is given by the formula:

Volume = (side length)^3

Plugging in the given value of 2.55 decimeters, we get:

Volume = (2.55 dm)^3

Volume = 16.419375 dm^3

Therefore, the volume of the cubic block in cubic decimeters is approximately 16.42 dm^3.

The volume of this block in cubic decimeters is 0.255 meters on a side is 0.000251485 dm³

The volume of the cubic block of concrete can be found by calculating the volume of a cube. The formula for the volume of a cube is V = s^3, where s is the length of the side of the cube.

The side of the cube is 0.255 meters, so the volume is calculated by cubing 0.255.

The volume of the block is 0.0251485m^3.

1m^3 = 1000dm^3.
So, the volume of the block in cubic decimeters is 0.000251485dm^3.

To summarize, the volume of a cubic block of concrete that is 0.255 meters on a side is 0.000251485 dm³.

To know more about volume refer here:

https://brainly.com/question/1578538

#SPJ11

Which division problem is equivalent to 25?


CLEAR CHECK

5÷2.


Divide 5 by 2.


Cut 5 equal sections from a 2-foot-long ribbon.


Split 5 cups of yogurt into 2 equal servings.

Answers

they all add up to 2.5 maybe u have to simplify?

a state representative wants to know how voters in his district feel about enacting a statewide smoking ban in all enclosed public places, including bars and restaurants. his staff mails a questionnaire to 800 voters in his district. of the 800 questionnaires mailed, 152 were returned. of the 152 returned questionnaires, 101 support the enactment of a statewide smoking ban in all enclosed public places. the statistic is:

Answers

The statistic is 101 out of 152 (66.45%) which  the questionnaires returned from the 800 mailed support the enactment of a statewide smoking ban in all enclosed public places.

To calculate this statistic, I first found the total number of questionnaires returned, which was 152. I then found the number of questionnaires that supported the ban, which was 101. To calculate the percentage, I then divided the number of questionnaires that supported the ban (101) by the total number of questionnaires returned (152), which gave me the answer of 66.45%. This percentage shows that a majority of the voters in the state representative's district support the enactment of a statewide smoking ban in all enclosed public places.

To know more about statistics refer to  the link brainly.com/question/23091366

#SPJ4

What is the equation for the line of the slope intercept

What is the equation for the line of the slope intercept

Answers

Answer:

y = (1/7)x - 3

Step-by-step explanation:

By inspection the y-intercept is found to be (0, -3).  The slope is

       increase in y       - 3 - (-4)

m = --------------------- = --------------- = 1/7

        increase in x          0 - (-7)

Thus, the slope-intercept form of the equation of this line is

y = mx + b, or y = (1/7)x - 3

a new car was purchased in 2005 for $20,000. it depreciates at a rate of 9%. what year will the car have a value of $10,000

A.2016
B.2008
C.2010
D.2012​

Answers

Answer:

Step-by-step explanation:  2012

Answer:

The second method is estimating the initial value of the car. Let's assume you were offered to buy a three-year-old car for $12,000. If you input the value into the "3 years" box, the car depreciation calculator will display the initial value of the car - in this case, over $20,500. You can now compare it to the price of a brand new car.

Step-by-step explanation:

A student takes a multiple choice test. Each question has N answers. If the student knows the answer to a question, the student gives the right answer, and otherwise guesses uniformly and at random. The student knows the answer to 70% of the questions. Write K for the event a student knows the answer to a question and R for the event the student answers the question correctly.

Answers

The probability of answering a question correctly is 0.7 + 0.3/N.

Given: N answer choices for each question; a student knows the answer to 70% of the questions; and the student guesses uniformly and at random for remaining 30% of the questions.

Let K be the event that the student knows the answer to a question and R be the event that the student answers the question correctly.

The probability of event K can be calculated as:

P(K) = 0.7The probability of event K' (not knowing the answer) can be calculated as:

P(K') = 0.3The probability of event R given K can be calculated as:

P(R|K) = 1The probability of event R given K' can be calculated as:P(R|K') = 1/N

Therefore, the probability of event R can be calculated using the law of total probability:

P(R) = P(K)P(R|K) + P(K')P(R|K')P(R)

= 0.7 × 1 + 0.3 × (1/N)P(R)

= 0.7 + 0.3/N

Therefore, the probability of answering a question correctly is 0.7 + 0.3/N.

To learn more about probability visit;

https://brainly.com/question/31828911

#SPJ11

Which graph represents the equation y=−32x−3?

Answers

Answer:

Step-by-step explanation:

So first you do y=z and1+2=3 so 6=y=-0 is your answer :)

This one too! Only help if you know!

This one too! Only help if you know!

Answers

Answer:

13º

Step-by-step explanation:

We know a straight line makes 180, so the one opposite 63 is (180-63) which is 117.

We know the interior angles in a triangle make 180. We know two angles 50 and 117 and 50+117=167. 180-167=13.

any help on this image please? i don't get it

any help on this image please? i don't get it

Answers

Step-by-step explanation:

hope you can understand

any help on this image please? i don't get it

A commercial greenhouse is constructed
in the shape of a prism, as shown.
12 m
T 0.6 m
1.8 m
0.9 m
1.8 m 1.8 m
0.6 m
0.6 m
3
V =
E
[3]
Work out the
volume of the
greenhouse.
(nearest m3)
Mark it

A commercial greenhouse is constructedin the shape of a prism, as shown.12 mT 0.6 m1.8 m0.9 m1.8 m 1.8

Answers

9514 1404 393

Answer:

  155.52 m³

Step-by-step explanation:

The volume will be the product of the end area and the length of the greenhouse.

The end area consists of 4 triangles and 6 rectangles. We can do a little manipulation of the shapes to simplify the area calculation a bit.

We can divide half of the greenhouse face along its vertical lines to make two trapezoids. Their "bases" will be the lengths of the vertical lines, and their heights will be the dimensions 1.8 m and 0.6 m. Since there are two of each, we can find the end area to be ...

  A = 2(1/2)(b1 +b2)(h1) +2(1/2)(b2 +b3)(h2)

  A = (3.3 +2.7)(1.8) +(2.7 +0.9)(0.6) = 10.8 +2.16 = 12.96 . . . square meters

__

The volume is then ...

  V = Bh

  V = (12.96 m²)(12 m) = 155.52 m³ . . . . greenhouse volume

Solve -2x + y = 5 for y
y =

Answers

Answer:

if we solve for y the answer is y= 2x+5

How is p-value calculated with example?

Answers

To calculate the p-value, we have to follow the following steps:

First, identify the correct test statistic.Then, calculate the test statistic using the relevant properties of the sample.Specify the characteristics of the test statistic’s sampling distribution.Then, place test statistics in the sampling distribution to find the p-value.

To calculate the p-value, we need

p = sample proportion

p' = assumed population proportion in the null hypothesis

n = sample size

Example

Given, n =40, σ = 32.17 and X = 105.37. calculate p-value.

σₓ = σ/ √n

σₓ = 32.17 / √40

    = 5.0865

Now, by applying the test static formula, we get

t = (105.37 – 120) / 5.0865

t = -2.8762

Using the table, we find the value of P(t>-2.8762)

From the table, we get

P (t<-2.8762) = P(t>2.8762) = 0.003

If P(t>-2.8762) = 1- 0.003 = 0.997

P- value = 0.997 > 0.05

To learn more about the p-value from the given link

https://brainly.com/question/13786078

#SPJ4

A worker's salary is increased by 12%. If the worker's original salary is represented by s, which two expressions represent the worker's salary after the increase?

Answers

Step-by-step explanation:

Given that

A worker's salary is increased by 12%.

Let the worker's original salary is represented by s. It means, the new salary of the person is given by :

New salary = 12% of s

So,

\(N=\dfrac{12}{100}\times s\\\\=0.12s\)

Hence, this is the required solution.

What is 12% of 36?(finding a part of a whole)

Answers

Answer:

4.32 is 12% of 36

Step-by-step explanation:

PLS PLS PLS I NEED HELP WITH MATH!!!! GAVE OFF ALL MY POINTS FOR THIS PLEASE GIVE A GOOD ANSWER!!!!!

1. a closed figure made up of line segments

2. any face that is not a base

3. three-dimensional figure with a polygon base and triangles for all other faces

4. three-dimensional figure with two parallel, congruent, polygonal faces and parallelograms for all other faces

5. the perpendicular width of a plane figure

6. a two-dimensional representation of a three-dimensional shape when unfolded

7. a plane figure that is one side of a solid figure

8. a prism with a rectangular base and right angles between the base and sides

9. geometric figure with three dimensions

10. a prism with a triangular base and right angles between the base and sides

Answers

hi! im chimken and i have your answers!!!

1. polygon: is a closed figure where the sides are all line segments.

2. lateral face: a side of three-dimensional figure that is not a base.

3. pyramid: a solid figure that has a polygon for a base and triangles for sides. it is named for the shape of its base.

4. polyhedron: formed by two parallel, congruent, polygonal bases connected by lateral faces that are parallelograms.

5. i don't know this one :(

6. a net: a two dimensional representation of a three-dimensional figure that is unfolded along it's edges so that each face of the figure is shown in two dimensions.

7. face: is a plane figure that serves as one side of a solid figure.

8. i don't know this one :(

9. there are 4 possible answers. rectangular prism, sphere, cone, cylinder: 3D geometric shapes with the basic three-dimensional shapes.

10. triangular prism: with a known base and height of its face.

i hope this helped!!!

braise bingus!

Which of the binomials below is a factor of this trinomial? URGENT!!!

Which of the binomials below is a factor of this trinomial? URGENT!!!

Answers

Answer:

C

Step-by-step explanation:

10×-28=-280

35-8=27

35×(-8)=-280

10x²+27x-28

=10x²+(35-8) x-28

=10x²+35x-8x-28

=5x(2x+7)-4(2x+7)

=(2x+7)(5x-4)

Answer: C) 2x+7

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

Explanation:

One way we can factor is through use the of the quadratic formula.

Let \(10x^2+27x-28 = 0\)

For now, the goal is to find the two roots of that equation.

Plug a = 10, b = 27, c = -28 into the quadratic formula

\(x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(27)\pm\sqrt{(27)^2-4(10)(-28)}}{2(10)}\\\\x = \frac{-27\pm\sqrt{1849}}{20}\\\\x = \frac{-27\pm43}{20}\\\\x = \frac{-27+43}{20} \ \text{ or } \ x = \frac{-27-43}{20}\\\\x = \frac{16}{20} \ \text{ or } \ x = \frac{-70}{20}\\\\x = \frac{4}{5} \ \text{ or } \ x = -\frac{7}{2}\\\\\)

The two roots are x = 4/5 and x = -7/2

For each root, rearrange the equation so we have 0 on the right hand side, and it's ideal to get rid of the fractions

x = 4/5

5x = 4

5x-4 = 0 gives us one factor

and

x = -7/2

2x = -7

2x+7 = 0 gives the other factor

The two factors are 5x-4 and 2x+7

Note how (5x-4)(2x+7) = 0 leads to the two separate equations of 5x-4 = 0 and 2x+7 = 0 due to the zero product property. Solving each individual equation leads to the two roots we found earlier.

Alternative methods to solve this problem are the AC factoring method (which leads to factor by grouping), using the box method, or you could use guess and check.

In Ty's English class, 70% of the students completed an essay by the due date. There are 30 students in Ty's English class. How
many completed the essay by the due date?

Please help out and explain the best you can ! Thank u !:))

Answers

Answer:

21 people completed the assignment by the due date, hope this helps !!!

Step-by-step explanation:

70% of 30 is 21 according to my calculator lol :D

brainliest would be swag ?

A manufacturer of compact fluorescent light bulbs advertises that the distribution of the lifespans of these light bulbs is nearly normal with a mean of 9,000 hours and a standard deviation of 1,000 hours. a) What is the probability that a randomly chosen light bulb lasts more than 10,500 hours? # (please round to four decina!places)

Answers

The probability that a randomly chosen light bulb lasts more than 10,500 hours is 0.0668 (rounded to four decimal places).

The probability that a randomly chosen light bulb lasts more than 10,500 hours is 0.0668(rounded to four decimal places).Here's how to calculate it:Given data mean μ = 9,000 and standard deviation σ = 1,000.To calculate the probability that a random light bulb lasts more than 10,500 hours, convert the problem to a standard normal distribution.

z = (10,500 - μ)/σ = (10,500 - 9,000)/1000 = 1.50

Here's the standard normal distribution curve with the shaded area representing the probability required: Standard normal distribution curve with the shaded area

Now, the area under the curve to the right of z = 1.5 is the probability that a randomly chosen light bulb will last more than 10,500 hours.

Using the Z table, we can look up the value corresponding to a z-score of 1.5. The table gives us a value of 0.9332.Now, the area to the left of z = 1.5 is 1 - 0.9332 = 0.0668, which is the probability that a randomly chosen light bulb lasts more than 10,500 hours, rounded to four decimal places.

Learn more about   normal distribution and calculating probabilities using z-scores:https://brainly.com/question/25638875

#SPJ11

4 divided by 1/3 as a fraction

Answers

Answer:

12\1

Step-by-step explanation:

the same thing as 12

The answer of when 4 should be divided by 1 by 3 so it should be 12.

Calculation of the values:

Since there are two numbers i.e. 4 and 1 by 3

So after dividing the 4 from 1 by 3 so it comes like

\(= 4\times 3\)

= 12

Hence, The answer of when 4 should be divided by 1 by 3 so it should be 12.

Learn more about number here: https://brainly.com/question/17717624

person 1 can do a certain job in 15min, and person 2 can do the same job in 30 min. when completing the job together, which expression would be used to represent the amount of work done by person 1
A. 15
B. 1/15
C. x/15​

Answers

Answer:

I believe the answer is B. 1/15

Step-by-step explanation:

Answer:

B. 1/15

Step-by-step explanation:

Can someone help me please?

Can someone help me please?

Answers

Answer:

5

Step-by-step explanation:

the additive inverse of a number is the opposite. lets say we take 7, the additive inverse would be -7. its basically taking away or adding a -.

The ordered pair (0,7) is:
A. at the origin
B. on the x-axis
C. on the y-axis
D. 7 units from the y-axis




Correct = Brainliest

Answers

Answer:

on the y axis

Step-by-step explanation:

The ordered pair (0,7) is:A. at the originB. on the x-axisC. on the y-axisD. 7 units from the y-axisCorrect

please help ! I don’t know this one :(

please help ! I dont know this one :(

Answers

Answer:

C

Step-by-step explanation:

answer is C the y intercept is (0,3)

15 POINTS!
What is the correct answer for Landon's problem? Explain where he went wrong.

15 POINTS!What is the correct answer for Landon's problem? Explain where he went wrong.

Answers

the y values need to be on the top so it would be -2-8 over -4-3 so the answer would be 10/7

Which compound inequality is represented by the graph?

Which compound inequality is represented by the graph?

Answers

Answer:

A

Step-by-step explanation:

Since the shaded region on the right is greater than or equal to 3, and the shaded region on the left is less than -4 (since numbers decrease as the arrow moves towards the left on the number line).

Can a binomial be multiplied by a monomial such that the product is a monomial? If so, give an example.(1 point)

Yes. 0(2x+y)=0

No. A binomial can never be multiplied by a monomial such that the product is a monomial.

Yes. 1(2x+y)=2x+y

Yes. 2(2x+y)=4x+2y

Answers

No, you can’t multiply a monomial and binomial together and have a product of a monomial.

factorise:-
(a+b)³ - (a-b)³​

Answers

\((a+b)^3 -(a-b)^3\\\\=(a+b-a+b)[(a+b)^2 + (a+b)(a-b) +(a-b)^2]\\\\=2b(a^2+b^2+2ab+a^2-b^2 +a^2 +b^2 -2ab)\\\\=2b(3a^2+b^2)\)

Answer:

Step-by-step explanation:

(a + b)³ - (a - b)³ = a³ + 3a²b + 3ab² + b³ - [a³ - 3a²b + 3ab² -b³]

                         = a³ + 3a²b + 3ab² + b³ - a³  + 3a²b - 3ab² + b³

                         = a³ - a³  + 3a²b + 3a²b  + 3ab² - 3ab² + b³ + b³

Here, the underlined terms will be cancelled.

                         = 6a²b + 2b³

                        = 2 * 3 *a²*b  + 2*b³

                        = 2b* (3a² + b²)

PLEASE HELP! TRIGONOMETRY!!

Find the value of x to the nearest tenth.
X =

PLEASE HELP! TRIGONOMETRY!! Find the value of x to the nearest tenth.X =

Answers

Answer:

i got 9.4

Step-by-step explanation:

Other Questions
(LIFE SKILLS) Which is an example of overcoming an emotional communication barrier?1. Molly pays attention to word choice when sending texts. 2. Leo has preconceived notions about Mya and does not want to work with her. 3. Josh does not say important messages when he is very upset. 4. Maria is distracted and does not receive information the way it is intended. Which were features of the new governmental system implemented by the first emperor of the Qin Dynasty Fill in the blank with the Spanish word that best completes the following sentence.Cuando estoy enfermo, debo tomarel huesola medicinala tosla cita Descreva a transformao que voc deve fazer para refletir um polgono do 4o quadrante para o 3o quadrante sem alterar seu tamanho. If a boat is 150 meters from the base of a cliff that is 90 meters high, what is the angle of elevation from the boat to the cliff top? What is the vapor pressure of SiCl4 in mmHg at 33.0 C ? The vapor pressure of SiCl4 is 100 mmHg at 5.4 C , and Hvap = 30.2 kJ/mol . Given:RS STRS SQSTR SQRProve:RST RSQ If you plan to take money out of the bank frequently, what type of account should you get?A. A savings accountB. A checking accountC. An interest accountD. An investment accountPlease select the best answer from the choices provided how will you represent the moves you have taken? As you have learned through this lesson, the Code of Ethics is intended to assist nurses in making appropriate decisions that support their patients' care and well-being. That is not always easy, particularly when a patient's wishes are not respected by family. Using the ANA's Code of Ethics for Nurses as a guide, consider what actions you would take in the following situations. Identify the portions of the Code of Ethics for Nurses that guided your decision.Angela has been working at Saint Abram's Hospital for five years; for the past year she has been the charge nurse in the telemetry unit. This evening, every bed is occupied, although she is short-staffed due to hospital inservices earlier in the day.Rosemary Tyrone underwent minimally invasive heart surgery earlier in the week and is recuperating in the telemetry unit; she will be discharged within a few days. Each evening, her son Tony and several members of her extended family descend on the unit and immediately begin demanding that Rosemary receive special meals, extra attention from the nursing staff, and, despite the fact that she is in a shared room, that the volume on her television be raised so she can watch her favorite programs, which this evening was a college basketball game that seemed to interest her son more than her. The nurse's aide who had been trying to accommodate Tony's demands just ran from the room in tears and frustration. Tony is now standing inches from the unit secretary demanding to see the president of the hospital, the chief of surgery, and "whoever is the boss of that incompetent nurse."Using the Code of Ethics, choose three topics to develop an appropriate response. Your response should be a minimum of 250 words. Keep in mind Mrs. Tyrone's right to privacy as well as her roommate's right to a peaceful and supportive environment in which to heal. Identify which provisions of the ANA's Code of Ethics apply in this situation.Submission Requirements:For all assignments, remember to:-Proofread for spelling, grammar, and punctuation.-Use complete sentence structure and standard written English. Do not use texting abbreviations or other shortcuts.-Make sure that paragraphs have a minimum of six sentences. I WILL BRAINLIEST PLS HELP ME I NEED HELP PLS ,If 2 cm = 5 ft, what is the area of the playground? Taylor recorded the grade-level and instrument of everyone in the middle school School of Rock below.Seventh Grade StudentsInstrument # of StudentsGuitar 11Bass 10Drums 12Keyboard 2Eighth Grade StudentsInstrument # of StudentsGuitar 9Bass 8Drums 14Keyboard 7Based on these results, express the probability that a student chosen at random will play an instrument other than keyboard as a percent to the nearest whole number. Based on molecular structure, arrange the following sets of oxyacids in order of increasing acid strength. Hclo3,hio3,hbro3. what is the geometric progression of; 1+3+6+9+12... 6 > -2k + 2A. k-2 a proper hedonist would have to agree that a pleasant life of illusion is __________ an equally pleasant life based on real achievement and true beliefs guillaume has a windows 10 personal laptop. he wants to ensure that the microsoft store apps on his computer are kept updated. what can guillaume do to ensure this? In examining the location of the mutation in tbx5 how might this mutation affect the function of the protein? Two mechanics worked on a car. The first mechanic charged $55 per hour, and the second mechanic charged $65 per hour. The mechanics worked for a combined total of 20 hours, and together they charged a total of $1250 . How long did each mechanic work? Decrease 14132. 77 by 14. 5%Give your answer rounded to 2 DP