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slava [35]
2 years ago
9

The largest of the Great Pyramids in Egypt was built with a square base, having edges that measured 754 feet and a height of 418

feet. To the nearest cubic foot, what was the volume of the original structure?
Mathematics
1 answer:
12345 [234]2 years ago
3 0

Answer:

79,213,229 ft3

Step-by-step explanation:

The volume of a pyramid is given by the following formula:

Volume = (1/3) * B * h

Where B is the base area and h is the height.

The side of the base is 754 feet, so the base area is:

B = 754^2 = 568516 ft2

Then, the volume of the pyramid is:

Volume = (1/3) * 568516 * 418 = 79213229.33 ft3

Rounding to the nearest cubic foot, we have:

Volume = 79,213,229 ft3

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Help me answer this question about congruent triangles. 50 points available.
Anuta_ua [19.1K]

Answer:

B

Step-by-step explanation:

No these triangles are not congruent.

<u>Left triangle</u>

Shortest side = 6 cm

Longest side = 13 cm

3rd side = unknown but < 13

<u>Right triangle</u>

Shortest side = 6 cm

Longest side = unknown but > 13

3rd side = 13 cm

Although the shortest side of both triangles is 6 cm, the longest side of the left triangle is 13 cm, whereas the longest side of the right triangle is unknown but will be more than 13 cm.

We do not know if any of the angles are congruent.  If they were congruent, we would expect to see this marked by the same angle line(s) on each triangle.

3 0
2 years ago
How many solutions does this equation have?
Greeley [361]

Answer:

No solution

Explanation:

-4+19-7f = -15-7

cancel terms on both sides ( add 7f on both sides)

Calculate the sum

-4+19= -15

-4+19=15

15 = -15

The statement 15 = -15 is false so there is no solution :)

4 0
2 years ago
A group of 5 men are meeting for lunch.
Sladkaya [172]

Tile:

<h2>See the explanation.</h2>

Step-by-step explanation:

(a)

There were total 5 men wearing coats.

5 coats can be returned to 5 men in 5! = 120 ways.

The coats can be returned to the accurate persons only in 1 way.

Hence, the probability that each man gets the correct coat is \frac{1}{120}.

(b)

At the time of returning the first coat, the hostess will have 5 choices and for the second she will have 4 choices.

Hence, in 5\times4 = 20 ways the hostess can return the 2 coats.

There is only 1 possible case that each of the coats will return to the correct owner.

Hence, the required probability is \frac{1}{20}.

6 0
3 years ago
Juan bought 4 pounds of chocolate
Andru [333]

Answer:

Step-by-step explanation:

This is a system of equations.  The 2 equations are:

4c + 2p = 16

2c + 3p = 12

Let's get rid of the p's first.  Do this by multiplying the first equation by -3 and the second equation by 2 to get a new system that looks like this:

-12x - 6p = -48

 4c + 6p =  24

Now add to get

-8c = -24 and

c = 3

That means that chocolate is $3 per pound.  Now sub that back in to either one of the original equations to get the price for peanuts:

4(3) + 2p = 16 and

12 + 2p = 16 and

2p = 4 so

p = 2

The price for peanuts is $2 per pound.

6 0
3 years ago
Can you answer this question ?
Elden [556K]

Answer:

k = -14

Step-by-step explanation:

We should cross-multiply

9/(k -  7)  =  6 / k

9*k  = 6 * (k - 7)

9k = 6k  - 42

9k - 6k = -42

3k = -42

k = -14

7 0
3 years ago
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