Part A
Using opposite operations, rewrite the equation so s2 is on one side of the equation by itself.


Part B
What is the opposite operation of squaring? Using this opposite operation, rewrite the equation from question 1 so s is by itself on one side of the equation.



Part C
The pyramid of Khufu, also known as the Great Pyramid of Giza, is one of the Seven Wonders of the World. Its volume is about 2,433,400 cubic meters, and its height is about 138 meters. Substitute these values into the equation from Part B, and solve the equation.



Part D
Search the Internet to find the length of each side of the base of Khufu’s pyramid. Does this length match your calculation?

Part E
Khafre was a son of Khufu. He also had a pyramid built, but it was not as big as his father’s. The volume of the Pyramid of Khafre is about 2,115,072 cubic meters, and its height is about 136 meters. Approximate the length of each side of the base?

Part F
Search the Internet to find the length of each side of the base of Khafre’s pyramid. Does this match your calculation?

Part G
About how much longer are the side lengths of the base of Khufu’s pyramid than Khafre’s?

Answers

Answer 1

Answer:

Part A: S^2= 3V/H

Part B: S =[tex]\sqrt{3\frac{v}{h} }[/tex]

Part C: s=√3* 2,433,400 /138=230 metres

Part D: This website says that the length of Khufu's Pyramid is about 230 meters. My calculation was correct.  

Part E: S = √3*2,115,072/ 136 =216 metres

Part F: The length of Khafre's pyramid is about 215.5  My calculation was a little off, but not by much.

Part G: 14 meters longer

Step-by-step explanation:

Part A:

I am going to solve:

So,

V=1/3 [tex]HS^{2}[/tex]

Then, multiply both sides by 3:

V x 3= 1/3 [tex]HS^{2}[/tex] x 3

So,

3V=[tex]HS^{2}[/tex]

Then, we divide by H:

[tex]\frac{3V}{H}[/tex]=[tex]\frac{HSs^{2} }{H}[/tex]

So,

[tex]\frac{3V}{H}[/tex]= [tex]s^{2}[/tex]

Then switch sides:

[tex]s^{2}[/tex]= [tex]\frac{3V}{H}[/tex]

I hope this helps!


Related Questions

solving equation with integers add/sub​

Answers

The answer is -5
X+7=2
X=2-7
X=-5

pls help me im so not smart lol

Answers

Answer:

7

Step-by-step explanation:

1 x  3=

2x3=6

4x3=12

7x3=21

Answer:

7

Step-by-step explanation:

im not that smart either but i think tis the 3s

1 x3 = 3

2 x3 = 6

4 x3 =12

7 x3 = 21

if tht makes any sense

Allex has a $20 bill. At the corner store, he buys a
bag of Hot Fries for $1.99 and 6 packs of gum. He
gets $11.77 in change. What is the price of one
pack of gum?

Answers

Answer:

First we need to subtract the hot fries. 20 - 1.99 = 18.01

he gets 11.77 so lets subtract it is 6.94 left so now divide by 6 is 1.5666666 or 1.6 per pack

Step-by-step explanation:

How to graph this slop (put a pic if u can )pls help due at 11

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Answer:

hopes this help luv <3

Step-by-step explanation:

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Answer:

x=130 I believe

Step-by-step explanation:

28+8+14+x=180

50+x=180

x=130

Given that 8 x − 3 y = 36 Find x when y = 3 Give your answer as an improper fraction in its simplest form.

Answers

Answer:

5.62

Step-by-step explanation:

8x-3y=36

8x-3×3=36

8x=36+9

x=5.62

Answer:

x= 45/8

Step-by-step explanation:

8x - 3y = 36

8x - 3(3) = 36

8x - 9 = 36

8x=45

x=45/8

Chris borrows £6000 at a simple interest rate of 10% per year.
He pays the money back after 4 years.
How much does he pay back in total?

Answers

9514 1404 393

Answer:

  £8400

Step-by-step explanation:

The amount due after t years is ...

  A = P(1 +rt)

  A = £6000(1 + 0.10·4) = £6000·1.40

  A = £8400

Chris pays back £8400 in total.

60% of 15 is what answer

Answers

The correct answer is 9. :)

Answer:9

Step-by-step explanation:

Think of it this way:

If 15=100%

then x= 60%

So what you do is you multply 60 times 15 and divide it by 100 to give you the answer of 9. To me this is the simplest way to do it, I believe it’s called butterfly multiplying. You cross multiply and then you divide.

can some please help me find the 4th term

Answers

Answer:

11

Step-by-step explanation:

C(4) = -7 + 6(4-1)

C(4) = -7 + 6 x 3 =

C(4) = -7 + 18

C(4) = 11

Hope that helps!

please help i don’t understand

Answers

A line is 180 so you subtract 126 with 180 and get 54. Since a Triangle angles all equal 180 together you add 54 and 43 and subtract 180 and the answer is 83

Answer:

You have to fine the number that matches with the "X" so the answer would be 126 divided by 43 which is 2.9. 2.9 is closer to 3 than 2 so the "x" is 3

Step-by-step explanation:

Given constants a and b such that x2 + ax + b has factors (x + 7) and (x + 2) what is a?​

Answers

Answer:

a=9 , b=14

Step-by-step explanation:

Just do the operation (x+7)(x+2)

x(x)+x(2)+7(x)+7(2)

x^2+2x+7x+14

x^2+9x+14

So a=9 and b=14

A spinner has 14 equal areas Numbered one through 14 if the spinner is spun one time what's the probability that the result is a multiple of 3 or a multiple of 2

Answers

Answer:

0.643

Step-by-step explanation:

Given that :

{1,2,3,4,5,6,7,8,9,10,11,12,13,14}

Multiples of 2 : 2, 4, 6, 8, 10, 12, 14

Multiples of 3 : 3, 6, 9, 12

P(multiples o

(Multiples of 2 n multiples of 3) = {2,3,4,6,8,9,10,12,14} = 9

Probability = required outcome / Total possible outcomes

Hence,

P(multiple of 2 or 3) = 9 / 14 = 0.643

what is the table of values for y=x+2

Answers

Answer:

x        y

-2       0

0       2

Slope: 1

y-intercept = 2 ( 0, 2 )

Hope this helped!

Have a supercalifragilisticexpialidocious day!

I need this pls and thank you.

Answers

I think C
LET ME KNOW IF THIS HELPED

The sides of a triangle measure 2x + 5, X – 4, and
3(2x + 1). What is the perimeter of the triangle?

Answers

Answer:

9x+4

Step-by-step explanation:

perimeter= sum of all sides

perimeter= (2x+5)+ (x-4)+ 3(2x+1)

= 2x+5+x-4+ 6x+3

= 2x+x+6x+5+3-4

= 9x+8-4

=9x+4

find the labeled points

Answers

Answer:

A= (6,76.5)

B =(32,18)

C=(80,0)

Step-by-step explanation:

The inequalities given are ;

3x + 8y ≥ 240

9x + 4y ≥ 360

x≥6

y≥0

The graph for the inequalities is as follows;

From the graph,

A= (6,76.5)

B =(32,18)

C=(80,0)

Which two ratios represent quantities that are proportional?​

Answers

Answer:

D. 45/18 = 35/14

Step-by-step explanation:

Lets simplify the ratios where possible and compare:

A. 3/4 = 9/12 ≠ 5/12B. 32/20 = 16/10 ≠ 22/10C. 7/5 = 14/10 ≠ 14/9D. 45/18  = 5/2 (divide by 9) and 35/14 = 5/2 (divide by 7)

The last two ratios represent proportional quantities

Find angles a, b and c?
Please help.

Answers

Answer:

B=112 degrees A=68 degrees and C=68 degrees

Step-by-step explanation:

the opposite angle of the 112-degree angle is the angle on the top left of the page, this means both of the angles are the same. You can then tell that that angle is the same as the one across from it because it shows on the page.  You can then figure out the opposite angle which is B so that means angle B is equal to 112 degrees. To figure out angle A you can just do 180 minus the angle B which is 112 degrees. You now know angle A which is 68 degrees, now to find the angle C you just have to notise that angle C is the opposite angle of angle A. This means that algle C is also 68 degrees.

Answer:

a=112

b=68

c=112

Step-by-step explanation:

2/3 x + = 15
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Answers

Answer:

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Answer:

Step-by-step explanation:the answer is option A as 1 • 3 =3 and 3+4=7

Write the equation of the line, in slope-intercept form, through the
following two points:
(-14, 17)
(-10, 41)

Answers

Answer:

y=6*x+101

Step-by-step explanation:

Slope intercept form is y=mx+n, where m is the slope and n is the intercept.

Substituing in that equation the two points we get two different expressions. Now we have to solve a 2x2 system of equations.

I decide to solve it through substraction (literally one expression minus the other). That way we cancel out the n and obtain the value of m.

Now that we have m we plug in the value of m in one of the expressions to obtain the value of n.

To express the final equation we just plug in the values of m and n in the expression y=mx+n!

Answer:

y=6*x+101

Step-by-step explanation:

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

Hope this will helps

Lauren has twelve more than six times as many pencils as her sister. Which expression represents the number of pencils that Lauren has if the variable p represents the number of pencils that her sister has?

Answers

Answer:

Sister: p

Lauren: 12 + 6p

Need to know now!
How do you solve “at this rate...”

Answers

Answer: you do the length times width

Step-by-step explanation:

Answer:

"At this rate" for me usually will be some sort of dividing

Write an equation of the line with a slope of 23and y-intercept of −8.
y=

Answers

Answer:

y=23x-8

Step-by-step explanation:

Use the formula y=mx+b

y-intercept is b which is -8

the slope is m which is in this case 23

Easy peasy!

Brandon Brandon Drew the two congruent squares shown he divided one square into 2 congruent triangular parts he divided the other square into 2 congruent rectangular parts

Answers

Incomplete question: Options

(a) Each triangular part and each rectangular part represents 1/2 the area of one square.

(b) Each triangular part has an area that is greater than the area of each rectangular part.

(c) Each triangular part and each rectangular part represents 1/4 the area of one square

(d) Each rectangular part has an area that is greater than the area of each triangular part.

See attachment for squares

Answer:

(a) Each triangular part and each rectangular part represents 1/2 the area of one square.

Step-by-step explanation:

Given

See attachment

Required

Which statement is true

Before the division, the area of both squares is:

[tex]Area = l * w[/tex]

After the division:

The area of the triangle is:

[tex]Area = \frac{1}{2} * base * height[/tex]

[tex]A_1 = \frac{1}{2} * l * w[/tex]

Substitute Area for l * w

[tex]A_1 = \frac{1}{2} *Area[/tex]

This equals half the area of the square

The area of the rectangle is:

[tex]Area = length * width[/tex]

The length of the rectangle is now half the length of the original square.

So, we have:

[tex]A_2 = \frac{1}{2} l * w[/tex]

Substitute Area for l * w

[tex]A_2 = \frac{1}{2} *Area[/tex]

From the values of A1 and A2, we can conclude that (a) is true

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Answers

Answer:

2.−2b−8

4.12k−2

5.−32t−20

6.8g+17

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8.−15d+30

9.2a+2b

10.35a−21

11.10f−15

12.−2x+4

13.2a+20

Step-by-step explanation:

i will do the right part after u finish with the left oen if u don't understand it look at the letters to know which problem is the answer

Answer:

hes right the GUY ABOVE IS 100% right i swear on my life

Step-by-step explanation:

An oval running track is 1/5 mile long. Elena runs on this track, completing each lap in 1/20 of an hour. What is Elena's running speed? (in miles per hour)


PLEASE I NEED HELP ASAP

Answers

Answer:

5 miles per hour

Step-by-step explanation:

the answer is 5 miles per hour, sorry if I am wrong.

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Answers

Answer:

There's no solution to this equation, when 2 equations have the same slope but different y-intercepts, they're parallel. This means they never intercept and there is NO solution and we can't solve for x.

can someone help me answer this pls.

Answers

Answer:

a. {7,14}

b. {10,17,24,31}

c. (no)

Step-by-step explanation:

c. because for two different values of domain there is a single value of codomain (range )

Victoria buys a two-gallon bottle of juice for $48.64. What is the unit rate of the cost of the juice per fluid ounce? I need this asap

Answers

Answer:

2.6315789473

Step-by-step explanation:

Hope this helps!

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