Cheng likes a modern lawn sculpture made of four identical solid right pyramids with square bases. He decides to create an exact copy of the sculpture, so he needs to know what volume of sculpting material to purchase. 2 identical solid right pyramids with square bases are connected at the square base. Another 2 are connected in the same way and are stacked on top of the other 2 pyramids. The length of the base edge is 2 feet and the height of the whole structure is 6 feet. He measures each edge of each base to be 2 feet. The height of the whole sculpture is 6 feet. What is the volume of material he must purchase? 2 ft3 4 ft3 6 ft3 8 ft3

Answers

Answer 1

Im Very sorry for the bots (I hate when they do this) BUT the answer is 8ft 3 Hope it helps!!

Answer 2

To create an exact copy of the sculpture, the volume of material they must purchase is [tex]8\,\text{f}{{\text{t}}^{3}}[/tex].

What is the volume of a cuboid?

The volume of a cuboid is calculated by multiplying its length, width, and height.

The length and width of the triangle are identical since the base is a square.

[tex]L = W = 2\,{\text{ft, and }}H = 6\,{\text{ft}}[/tex]

Knows the volume of material he must purchase,

[tex]\text{Volume}=\frac{\text{Height}\times \text{length}\times \text{width}}{3}[/tex]

So,

[tex]\Rightarrow \text{Volume}&=\frac{2\times 2\times 6}{3} \\\Rightarrow \text{Volume}&=2\times 2\times 2\,\text{f}{{\text{t}}^{3}} \\ \Rightarrow \text{Volume}&=8\,\text{f}{{\text{t}}^{3}} \\[/tex]

Therefore, the volume of material they must purchase is [tex]8\,\text{f}{{\text{t}}^{3}}[/tex].

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Related Questions

PLEASE I NEED THIS NOW, AND EXPLICATION

Answers

Answer:49.5

Step-by-step explanation:so if 1 inch equal to 3 yards then 7.5 will be 21.5  and 6 inchs will be 18 so if you all together you will get 49.5

Answer:

36

Step-by-step explanation The answer would be  36 because A=a2=62=36 and the math added to 36 hope this helped.

Can some one please explain how to do this? 1.253 x 7.4 =

Answers

Answer:

9.2722

Step-by-step explanation:

7.400

*1.252

_____

9.2722

Its simple, plz rate 5 str, thx, and brailiest

Answer the question based on the data in the two-way table.
Grades
Gender
Below Above
Average Average
Boy 14 23
Total
37
Girl
16
22
38
Total
30
45
75
Which statement is true?
O A. Aboy above average grades) = P(boy)
B.
Pabove average grades boy) = Pabove average grades)
Ос.
Pboy above average grades) # Pabove average grades)
OD. Pabove average grades| boy) = P(boy)

Answers

Answer:

d

Step-by-step explanation:

P(boy above average grades) P(above average grades) is the right answer. The correct option is C.

What is conditional probability?

The likelihood that event A will occur provided that event B has already happened is known as conditional probability. It is written as "the probability of A given B" and is indicated by the symbol P(A|B).

We must employ conditional probability in order to respond to this inquiry. We are aware that there are 75 pupils in the class overall, with 37 boys and 38 girls. We also know that 22 girls and 23 boys both have GPAs above the national average.

A. Boy with above-average grades equals a boy.

This claim is untrue. The likelihood of picking a guy at random from the class is 37/75, or P(boy). The likelihood of picking a kid from the class who has above-average grades at random is 23/75, or P(boy with average grades). The odds of these two events are not equal.

B. Boy with above-average grades equals P with above-average grades

This claim is untrue. The chance of picking a student with above-average grades at random from the class is P(above average grades), which is (23+22)/75 = 45/75. The likelihood of picking a kid from the class who has above-average grades at random is 23/75, or P(above-average grades boy). The odds of these two events are not equal.

P (boy with above-average grades) C (boy with above-average grades)

This assertion is accurate. P(boy over average grades) = 23/75 and P(above average grades) = 45/75, respectively, are already known values. The odds of these two events are not equal.

D. P(boy | grades over average) = P(boy)

This claim is untrue. The conditional probability that a student will have above average grades given that they are a boy is P(above average grades | boy), which is 23/37. The likelihood of picking a guy at random from the class is 37/75, or P(boy). The odds of these two events are not equal.

Therefore, the correct statement is C. P(boy above average grades) ≠ P(above average grades).

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Solve the following triangle using either the law of sines or the law of cosines b=6 , c=12, A=48°

Answers

9514 1404 393

Answer:

  (a, B, C) ≈ (9.15, 29.2°, 102.8°)

Step-by-step explanation:

The given angle lies between the given sides, so the law of sines cannot be used. The third side is ...

  a² = b² +c² -2bc·cos(A) ≈ 83.6452

  a ≈ √83.6452 ≈ 9.146

__

Then angle B is found from the law of sines. We want to find the smaller angle, so we can tell if the triangle is acute or obtuse.

  sin(B)/b = sin(A)/a

  B = arcsin(b/a·sin(A)) ≈ arcsin(0.48753)

  B ≈ 29.2°

  C = 180° -48° -29.2° = 102.8°

The solution to the triangle is (a, B, C) = (9.1, 29.2°, 102.8°).

791.26 x 42 please do step by step​

Answers

Answer:

33232.92

Step-by-step explanation:

Pls Help Me find the Area T-T

Answers

Answer:

the answer is 55m^2 I think

Answer:

55 is the Area

Step-by-step explanation:

4 x 10 = 40

5 x 3 = 15

15 ÷ 2 = 7.5

5 x 3 = 15

15 ÷ 2 = 7.5

7.5 + 7.5 = 15

40 + 15 = 55

Give Me Brainllest

I need some help with this

Answers

1st blank: 2x
2nd blank: 4x
3rd blank: 8
4th blank: 16
5th blank: 4

In the geometric sequence below, what is the common ratio?

Sequence: 64,16,4,1

Answers

9514 1404 393

Answer:

  1/4

Step-by-step explanation:

The common ratio is the ratio of successive terms:

  16/64 = 4/16 = 1/4

The common ratio is 1/4.

what is the name of the shape depicted in the graph below
a. limaçon
b. rose
c. cardioid
d. lemniscate

Answers

Answer:

Limaçon

Step-by-step explanation:

In geometry, a limaçon or limacon /ˈlɪməsɒn/, also known as a limaçon of Pascal, is defined as a roulette formed by the path of a point fixed to a circle when that circle rolls around the outside of a circle of equal radius.

The name of the shape depicted in the graph below is a. Limacon.

What are Polar Curves?

Polar curves are the curves which are formed using the polar coordinate system.

The distance of the points from the origin will be varying depending on the angle from the positive X axis.

The given curves in the option Limacon, Rose, Cardioid, Lemniscate are types of polar curves.

Limacon is the curve which is also known as Pascal's snail. It is formed by following the path by a fixed point to a circle when this circle rolls another circle's of equal radius outside.

The given shape is the limacon with inner loop.

Lemniscate will always be a 8 shaped curve.

Hence the correct option is a, limacon.

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A quiz consists of 570 true or false questions. If the student guesses on each question, what is the mean number of correct answers?

Answers

Answer:

285

Step-by-step explanation:

570/2=285

true or false means theres a 1/2 possibility you guess right thats why you divide by 2

The mean number of correct answers to 570 true or false questions will be 285.

What is the expected value?

In parameter estimation, the expected value is an application of the weighted sum. Informally, the expected value is the simple average of a considerable number of individually determined outcomes of a randomly picked variable.

The expected value is given below.

E(x) = np

Where n is the number of samples and p is the probability.

For the true or false, the probability of getting correct is given as,

p = 1/2

There are 570 true or false questions in a quiz. If the pupil guesses for each inquiry. Then the expected value is given as,

E = 570 x (1/2)

E = 285

The mean number of correct answers will be 285.

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triangle PQR is similar to triangle XYZ if PQ = n + 2, QR = n - 2 and XY=n^2 - 4, what is the value of YZ, in terms of n?

Answers

Answer:

(n-2)²

Step-by-step explanation:

If triangle PQR is similar to triangle XYZ, then;

PQ/QR =XY/YZ

Given

PQ = n + 2,

QR = n - 2 and

XY=n^2 - 4,

Substitute

n+2/n-2 = n²-4/YZ

n+2/n-2 = (n+2)(n-2)/YZ

1/n-2 = n-2/YZ

Cross multiply

YZ = (n-2)(n-2)

YZ = (n-2)²

Hence the value of YZ in terms of n is (n-2)²

Can someone help? Please? Thanks:)

Answers

Read the procedural text.

Plain Taffy

3.5 lbs. white sugar

2 cups water

1 teaspoon cream of tartar

Put the sugar and water in a clean pan. Heat mixture over medium-high heat, stirring occasionally until melted. Continue heating to a slow boil.

Add the cream of tartar and put a lid on the pan. Allow mixture to boil in this way for ten minutes.

Remove the lid and immerse a candy thermometer in the boiling liquid. Boil to 310 degrees.

Quickly remove pan from heat and pour contents into oiled frames, tins, or onto a pouring slab.

Cut into bars or squares with a knife or taffy cutter while still warm.

Allow taffy to cool before eating.  so the answer is A

Match each inequality to the number line that represents its solution. x – 99 ≤ -104 x – 51 ≤ -43 150 + x ≤ 144 75 < 69 – x

Answers

I can’t see it can you make it more clearer.

simplify the expression: 1-sin^2x/secx

Answers

Answer:

cos (x)

Step-by-step explanation:

An ice cream come has the following dimensions. What is the amount of ice cream you can fit inside the cone...
Diameter: 3 inches
Height: 6 inches

Answers

Step-by-step explanation:

Volume = 42.39

1. A baker bought 12 pounds of flour. He used 5/8 of the flour. How many pounds of flour are left?

Answers

Answer:

7 1/2 pounds

Step-by-step explanation:

12/1 x 5/8 = 60/8 = 7 4/8 = 7 1/2

The equation 4(x − 2)=100 is a true equation for a particular value of x. Explain why 2(x − 2)=50 is also true for the same value of x.

Please type the answer not a link

Answers

Answer:

See below.

Step-by-step explanation:

4(x − 2)=100

Divide both sides by 2.

4/2 (x - 2) = 100/2

2(x - 2) = 50

Since the equation 2(x - 2) = 50 is obtained by dividing the both sides of the first equation by 2, and that is a legal operation because of the division property of equality, then the second equation is equivalent to the first equation and has the same solution.

5 rubber stamps cost $9.70.
Which equation would help determine the cost of 11 rubber stamps?
A: x/11 = 5/9.70
B: 11\$9.70 = x/5
C: 5/11 = x/9.70
D: 11/5 = 9.70/x
E: None of the above

Answers

E None of the above

square root of 2800 ​

Answers

Answer:

52.91 :)

Step-by-step explanation:

I need them all in about five minutes, please help me no BS I’m giving you 50 points.

Answers

Answer: 1 is 5.7

2 is 21.75

3 is 8.8

Step-by-step explanation:

here ya go

Find the surface area of the prism. 5cm 7cm 4cm

Answers

To find the volume it is Length x Width x Height
so 7 x 5 x 4 = 140cm
140 cm is the answer
Hoped this helped =)

Find the area of the figure.

Answers

Answer:

24

Step-by-step explanation:

Split the polygon into three triangles and a square, then find the areas of each and they add up to 24.

Answer:

let me know if it's the right answer or not:) also I learned this awhile

Change 1 hour 25 minutes 29 seconds to seconds

Answers

Answer:

remember

1h=60min

1min=60 sec

now come to the question

1h=60min

1min=60 sec

60min=60×60=3600sec in 1hour

25min=60×25=1500sec in 25 min

total all sec=3600+1500+29=5129sec

Step-by-step explanation:

Answer:

5129

Step-by-step explanation:

So first we know we have 29 seconds then we know there is 60 seconds in a minute so I'm going to take 60 times 25 which equals 1500 so right now I have 1529 seconds I also know that there is 60 minutes in 1 hour so I'm going to do 60 times 60 which is 3600 so now I'm going to add all my seconds together 1500 + 3600 = 5100

Someone please help me and explain it in simple words please and thank you.

Answers

Answer:

if you have a calculator above ti 84 you can enter integrals by pressing alpha window and selecting the integral option other than that it is not simple on paper you should look up a vid but it will take at least 15 mins to learn

alt optio. is to use wolfram alpha it works great you just input your problem

(PLEASE ANSWER FAST)

Some friends are eating crackers. The number of crackers, y, that each person gets is inversely proportional to the number of people, x, who are sharing the crackers. When 4 people share the crackers, each person gets 12 crackers. What is an inverse proportion equation that represents this situation? How many crackers will each person get if 8 people are sharing the crackers?

(PLEASE ANSWER FAST)

Answers

Answer: yx (4)(12) / 8

Step-by-step explanation:

Answer:

1. What is an inverse proportion equation that represents this situation?

y=48/k

2. How many crackers will each person get if 8 people are sharing the crackers?

6 crackers

Step-by-step explanation:

1. What is an inverse proportion equation that represents this situation?

The number of crackers, y, is inversely proportional to the number of people, x. In mathematical terms, this is y=k/x, where k is some number.

When there are 4 people, each person gets 12 crackers:

y=k/x

12=k/4

48=k

Therefore, our equation is y=48/x

2. How many crackers will each person get if 8 people are sharing the crackers?

y=48/x, where y is the number of cracker and x is the number of people.

y=48/8

y=6

If y = 4x, x = 2z, and z = 3a, what is the value of y - x in terms of a?
A) -20a
B) -18a
C) 6a
D) 18a
E) 20a
With steps please

Answers

Answer:

D) 18a

Step-by-step explanation:

y - x

= 4x - x (plug y = 4x)

= 3x

= 3(2z) (plug x = 2z)

= 6z

= 6(3a) (plug z = 3a)

= 18a

How do I solve for x?

Answers

Answer:

x = 4.8

Step-by-step explanation:

Since quadrilateral JKLM and PQRS are similar toe ach other, therefore the ratio of their corresponding sides are equal.

Thus:

QP/KJ = PS/JM

Substitute

8/5 = x/3

Cross multiply

5*x = 3*8

5x = 24

x = 24/5

x = 4.8

PLEASE HELP !! ILL GIVE 40 POINTS ; PLUS BRAINLIEST !! DONT SKIP ANSWER.

Answers

Answer:A

Step-by-step explanation:

Option C is Correct:

Angle RQN and angle MNQ are alternate interior angles.

Alternate interior angles are always equal.

How are other options incorrect?

Angles given in option A are forming linear pair.

Angles given in option B are too forming a linear pair.

Angles given in option D are corresponding angles.

What is the domain of f(x) = 9 - x^2

Answers

Answer:

Step-by-step explanation:

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

(

,

)

Set-Builder Notation:

{

x

|

x

R

}

Locate the vertex of the parabola.

Tap for more steps...

(

0

,

9

)

The range of a parabola that opens down starts at its vertex  

(

0

,

9

)

and extends to negative infinity.

Interval Notation:

(

,

9

]

Set-Builder Notation:

{

y

|

y

9

}

Determine the domain and range.

Domain:  

(

,

)

,

{

x

|

x

R

}

Range:  

(

,

9

]

,

{

y

|

y

9

}

image of graph

(-♾, ♾)
(negative infinity, infinity)

Yvonne wants to cover the back of her smartphone with a decorative pattern. If the phone's length is 1/2 foot and width is 1/6 foot, what is the area that the decorative pattern will cover?

Answers

Answer:

1/12 square foot

Step-by-step explanation:

Area of the pattern = LEngth * Width

Given the following

Length = 1/2 foot

Width = 1/6 foot

Area of the pattern = 1/2 * 1/6

Area of the pattern  =1/12 square foot

Hence the area that the decorative pattern will cover will be 1/12 square foot

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