One of the Great Pyramids in Egypt has the shape of a square pyramid with the base length of 20 feet, and the height of 150 feet tall. If the stones that were used to build the pyramid had a volume of 40 cubic feet each, how many stones did the Egyptians need to build the pyramid?

Answers

Answer 1

Answer:

500

Step-by-step explanation:

Given that:

Shape of one of the Great Pyramids in Egypt is a square pyramid.

Base of pyramid is of square shape with length = 20 feet

Height of pyramid = 150 feet

Volume of each stone used for the construction of the pyramid = 40 cubic feet

To find:

Number of stones used for the construction of the pyramid.

Solution:

First, we need to find the volume of the square pyramid and then we need to divide the volume of pyramid with the volume of one stone used for the construction.

It will give us the number of stones used for the construction of pyramid.

Volume of a pyramid is given as:

[tex]V = \dfrac{1}{3}\times \text{Area of base}\times Height[/tex]

Here, base is a square, so area of base = [tex](Side)^2[/tex]

[tex]V = \dfrac{1}{3}\times 20^2\times 150 = 400\times 50 ft^3[/tex]

Number of stones of 40 cubic feet each, required = [tex]\frac{400\times 50}{40}[/tex] = 500


Related Questions

an angle is equal to five times of its complement then what is its measures​

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Answer:

Then the complement of it = 90-x. Given that An angle is equal to 5 times its complement. x = 75. Hence the measure of an angle = 75.

Step-by-step explanation:

What is the slope of the line? Thank youu

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Answer:

y=05x+3.5.

that's thw answers

Please help me with these questions ASAP!!!!!!!!

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Answer:

Step-by-step explanation:

Answer:

For the first picture: m angle t=36 and m angle v=54

For the second picture:m angle P=55 m angle Q=81 and m angle QPR=180

Step-by-step explanation:

For the first picture, you had to do 2x+3x+90=180

We got the 90 from the right triangle.

Then you combine like terms, which was then 5x=90=180

Then, you subtract the 90 from both side, leaving 5x=90

Divide 90 by 5, which gives you x=18

For both the answers, you had to do 2(18) for T and 3(18) for V

The second picture, you did (8y + 1) + (5y + 5)= 136

You combine like terms, which levas you with 13y + 6 = 136

You subtract 6 from both sides, leaving you with 13y= 130

Divide 130 by 13, which is 10 so y=10

You then replace the y for (8y + 1) to 10 and solve

As well as for (5y + 5), you replace the y with 10 and solve

And m angle QRP is 180 because every triangle has a total of 180 degrees

Hope this helped!

Rewrite 12/20 with the denominator of 100

Explain how to get it

Answers

60/100, look at picture for work

4.4 + [4 × 1/4 + 8.6]

Answers

Answer:

14

Step-by-step explanation:

the difference of two variables x and y is 7. find two ordered pairs that satisty this equation if the values of y are 1 and 3... Show your solution​

Answers

Answer:

The ordered pairs that are solution to this equation are:

(8,1) and (10,3)

Step-by-step explanation:

Given statement is:

"difference of two variables x and y is 7"

This can be mathematically written as:

[tex]x-y = 7[/tex]

To solve this we have to put y = 1 and y = 3

Now,

Putting y = 1 in the equation

[tex]x-1 = 7\\x = 8[/tex]

Putting y = 3 in the equation

[tex]x-3 = 7\\x = 7+3\\x = 10[/tex]

Ordered pairs are of the form (x,y)

Hence,

The ordered pairs that are solution to this equation are:

(8,1) and (10,3)

two boats leave a ramp traveling in opposite directions. The second boat is 10 miles per hour faster than the first. After 3 hours they are 150 miles apart. Find the speeds of the boats.

Answers

Answer:

220 mph ; 230 mph

Step-by-step explanation:

Given that :

Speed of First boat = x

Speed of Second boat = y

y = (10 + x) mph

Distance apart after 3 hours = 150 miles

Speed of the boats :

Speed / time = distance

First boat distance = x / 3

Second boat distance = (10+x) /3

x/3 + (10+x)/3 = 150

x + 10 + x = 150 * 3

2x + 10 = 450

2x = 450 - 10

2x = 440

x = 220 mph

Speed of second boat = 220 + 10 = 230 mph

PLS HELP! ILL MARK BRAINIEST! what is the x and y intercept for this equation?

Answers

x int: (-2, 0) y int: (0,4)

70% off
original price!
Abdul wants to buy a cat calendar. The original price is $5.30. What is the sale price?
I need this worked out please

Answers

Answer:

the price with the offer is going to be 1.59$

Step-by-step explanation:

[tex] \frac{x}{5.30} = \frac{70}{100} [/tex]

[tex]100(x) = 70(5.30)[/tex]

[tex]100(x) = 371[/tex]

[tex] \frac{100(x)}{100} = \frac{371}{100} [/tex]

[tex]x = 3.71[/tex]

[tex]70\% \: \: \: of \: \: \: 5.30 \: \: \: is \: \: \: 3.71[/tex]

[tex]5.30 - 3.71 = 1.59[/tex]

What is the sum of the measures of the exterior angles of this triangle

Answers

Answer:

180°

Step-by-step explanation:

because because that's how much the angle of this triangle is

Answer:  360

The sum of the exterior angles is always 360. This applies to any polygon.

note: If you wanted to sum up the interior angles, then the answer would be 180.

What is the solution to the system of equations below?
y=-x+6 and y-x-6

O no solution
O infinitely many solutions
O (-18, 12)
O (18, 0)

Answers

Answer:

O (-18, 12)

Step-by-step explanation:

brainiest plz

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Answers

Answer:

If it's 16, then it's -4 > x

Step-by-step explanation:

Ignore the inequality sign first and solve 12 = -3x

This would equal -4 = x

Now, when you divide or multiply both sides by a negative, you have to change the inequality sign so you change it from -4 > x to -4 < x

Which of the following numbers is irrational?
A) 6.124
B) √7
C) √0.25
D) 0.12¯¯¯¯

Answers

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Aubree drives 15 miles in 20 minutes. If she drove three hours in total at the same rate, how far did she go

Answers

135 miles in 3 hours

Complete the proof!!!

Answers

Answer:

The correct options are;

1. Definition of supplementary angles

2. m∠1 + m∠2 = m∠1 + m∠3

3. m∠2 = m∠3

4. Definition of congruent angles

Step-by-step explanation:

The two column proof is presented as follows;

Statement    [tex]{}[/tex]                                      Reason

1. ∠1 and ∠2 are supplementary [tex]{}[/tex]       Given

∠1 and ∠3 are supplementary [tex]{}[/tex]      

2. m∠1 + m∠2 = 180°     [tex]{}[/tex]                      (1) Definition of supplementary angles

m∠1 + m∠3 = 180°

3. (2) m∠1 + m∠2 = m∠1 + m∠3      [tex]{}[/tex]     Transitive Property

4. (3) m∠2 = m∠3     [tex]{}[/tex]                            Subtraction property of equality

5. ∠2 ≅ ∠3     [tex]{}[/tex]                                       (4) Definition of congruent angles

Given that angles ∠1 and ∠2 are supplementary, we have, ∠1 + ∠2 = 180°

Given that angles ∠1 and ∠3 are also supplementary, we also have, ∠1 + ∠3 = 180°

∴ ∠1 + ∠2 = 180° = ∠1 + ∠3

∠1 + ∠2 = ∠1 + ∠3

∠1 + ∠2 - ∠1 = ∠1 + ∠3 - ∠1

∴ ∠2 = ∠3

∴ ∠2 ≅ ∠3, by definition of congruent angles.

Help me with this answer I know there is no solution I just wanna know why

Answers

Answer:

The solution x = 0 means that the value 0 satisfies the equation, so there is a solution. “No solution” means that there is no value, not even 0, which would satisfy the equation. ... This is because there is truly no solution—there are no values for x that will make the equation true

Answer:

No solution

Step-by-step explanation:

The solution x = 0 means that the value 0. “No solution” means that there is no values

I will give brainliest! In the figure, the circle has a center O and has a radius of 10. If the length of arc AB is between 5 and 6, what is one possible integer value of x?

Answers

Answer:

any integer in between 29,30,31,32,33,34 will work.

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Answer:

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Step-by-step explanation:

The rise is 4, and the run is 5. The rise comes first, so the answer is 4/5. The line is positive.

Answer:

slope = 4/5

Step-by-step explanation:

The best way to find the slope with just a line is to pick the most direct points on the graph, meaning points that are not in between numbers but right on the graph lines

y value - y value  over x value - x value  

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Answer:

bra

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

What is the value of x?
Enter your answer in the box

Answers

Answer:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

Step-by-step explanation:

V = √ 20 L to estimate the speed of a car, v , in miles per hour, based on the length, L , in feet, of its skid marks when suddenly braking on a dry, asphalt road. At the scene of an accident, a police officer measures a car's skid marks to be 108 feet long. Approximately how fast was the car traveling? Round your answer to the nearest tenth (one decimal place) of a unit.

Answers

Answer:

46.5 miles per hour

Step-by-step explanation:

Given that :

Speed of A car v in miles per hour based on length L in feets ;

V = √(20L)

Skid mark (L) = 108 feets

V = √(20 * 108)

V = √2160

V = 46.475800 miles per hour

V = 46.5 mph

1 yard = 3 feet
6 yards 2 feet = how much feet is 6 yards and 2 feet ?

HELP ASAP

Answers

Answer: 20

Step-by-step explanation: 3 feet in 1 yard, there are 6 yards.

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What percent of the rectangle below is shaded (hint think about the fraction or ratio of
shaded to total)?
33%
40%
67%
25%

Answers

it is 33% i believe (it won’t let me send right so here’s some random words because it has to be 20 characters long)
the answer is a. 33%

Please only answer if you know

Answers

Answer:

A, C

Step-by-step explanation:

A.)

32 / 8 * 5.25 ----> 4 * 5.25 ----> 21

C.)

4 * 12.5 / 2----> 49 / 2 ----> 24.5

Answer:

between 20 & 30?

A & C  

Step-by-step explanation:

A) 32 / 8 * 5.25 = 21

B) -18 / 6 * 9 = -27

C) 4 * 12.5 / 2 = 25

D) 12 * 4[tex]\frac{1}{3}[/tex] / -2 = -26

PLEASE PLEASE HELP ME I REALLY NEED HELP

Answers

Answer:

(a) yes it does

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(c) The rate, or rate of change, is -1/2.

y1 - y2/x1-x2

4 - 2/3 - 9

2/-6

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Given AABC : ADEF, find x.
E
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x
8
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С
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Answer:

bx8

Step-by-step explanation:

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