The Great Pyramid of Giza was constructed as a regular pyramid with a square base. It was built with an approximate volume of 2592276 cubic meters and a height of 146.5 meters. What was the length of one side of its base, to the nearest meter?

Answers

Answer 1
Answer: volume of a square-based pyramid = base edge^2 * height/3
so:
2,592,276 = base edge^2 * 146.5/3; therefore the base edge is approximately 230.4m

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Evaluate, 2 x {[5 x (60-14 divided by 7)] + 25} x 5=?

The equation of line CD is (y − 3) = − 2 (x − 4). What is the slope of a line perpendicular to line CD?

Answers

The\ slope-point\ form:y-y_0=m(x-x_0)\ where\ m\ is\ a\ slope\n\nIf\ k:y=m_1x+b_1\ and\ l:y=m_2x+b_2\n\nk\perp l\iff m_1m_2=-1\to m_2=-(1)/(m_1)\n\ntherefore\nthe\ slope\ of\ line\ CD:y-3=-2(x-4)\ is\ m_1=-2\ and\ the\ slope\nof\ a\ line\ prpendicular\ to\ CD\ is\ m_2=-(1)/(-2)=(1)/(2)

Answer: 1/2
(y-3)=-2(x-4)
(y-3)= -2x+8
y= -2x+11
perpendicular slopes are always reciprocals and opposite so the slope would be
slope=1/2

4. Which of the following is an arithmetic sequence?
A. 4, 1, -2,-5, -8 B.4,-12, 36, -108​

Answers

A is an arithmetic sequence since the common difference is -3 while B is a geometric sequence and depends on multiples
A is the answer :) it goes my increments of -3

Two times the sum of nine and a number is the opposite of 9.
Write an equation and solve.

Answers

The number is -27/2 if two times the sum of nine and a number is the opposite of 9 after applying the concept of the linear equation.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Two times the sum of nine and a number is the opposite of 9.

Let the number be x:

2(x + 9) = -9

2x + 18 = -9

2x = - 9 - 18

2x =- 27

x = -27/2

Thus, the number is -27/2 if two times the sum of nine and a number is the opposite of 9 after applying the concept of the linear equation.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

- - 2*-9x

This is because you have "two times" which is 2*

The sum of a number = x
 
Opposite of 9 = -9

What is the aswer ??????​

Answers

Answer:

The correct statement is Aprimenumberarenumberswhichhaveonlytwofactor.

Explanation:

Hope it helps you..

Your welcome in advance..

(ㆁωㆁ)

Answer:

A prime number is one which can be divided only by itself

please give brainliest

The diameter of a ball is 8 in. What is the volume of the ball?

Answers

Given that the formula of a sphere is V = 4/3 π r³
Your answer would be 268.083 in.
³

Answer:

the correct answer is 267.95,i took the test

Step-by-step explanation:


Which of these is a simplified form of the equation 7p 4 = − p 9 2p 3p? 13p = 13 3p = 5 7 = 4 11 = 15

Answers

Answer:

  • \boxed{\sf{3p=5}}

Step-by-step explanation:

To find:

  • The value of p

Given:

  • 7p + 4 = −p + 9 + 2p + 3p

\sf{7p+4=-p+9+2p+3p}

Isolate the term of p, from one side of the equation.

Combine like terms.

\rightarrow \sf{7p+4=-p+2p+3p+9}

Add the numbers from left to right.

-p+2p+3p=4p

7p+4=4p+9

Then, you subtract by 4 from both sides.

\sf{7p+4-4=4p+9-4}

Solve.

7p=4p+5

Subtract by 4p from both sides.

7p-4p=4p+5-4p

Solve.

\boxed{\sf{3p=5}}

Divide by 3 from both sides.

3p/3=5/3

Solve.

p=5/3

Divide is another option.

5/3=1.6666

So, the final answer is 3p=5.

I hope this helps, let me know if you have any questions.