Mathematics College

One of the ancient stone pyramids in Egypt has a square base that measures 142 m on each side. The height is 93 m. What is the volume of the pyramid?

Answers

Answer 1

Step-by-step explanation:

142

6.25084×105

Answer 2

The volume of the ancient stone pyramids in Egypt with a side of 142 m and a height of 93 m is 652,084 m³.

What is a pentahedron?

A Square Pyramid is a pyramid with the base as a square. It is also known as pentahedron. It has 5 faces out of which 4 are triangles while 1 is a square.

The volume of the square pyramid is one-third of the product of the area of the square and the height of the pyramid. Thus, the volume of the square pyramid with a side length of 142 m and a height of 93 m can be written as,

[tex]\rm \text{Volume of square pyramid} = \dfrac13 \times \text{(Area of square)} \times Height[/tex]

[tex]= \dfrac13 \times (142)^2 \times 93\\\\= 625,084\rm\ m^3[/tex]

Hence, the volume of the ancient stone pyramids in Egypt with a side of 142 m and a height of 93 m is 652,084 m³.

Learn more about Square Pyramid:

https://brainly.com/question/15219357

Related Questions

Find the 89th term of the arithmetic sequence
-13, -8, -3

Answers

Answer:

427

Step-by-step explanation:

first you have to find the difference between -13 and -8 so we do -13 minus -8 which gives us -13 +8 which is -5. so -13+5=-8 then we try plugging in 5 to the next two numbers -8+5=-3 so the pattern is +5 so now we can do 5*88=440 so now we do -13+440=427

What is the solution to the system of equations?
O (-8,-4)
O(-4,-8)
O (44)
0 (4-4)

Answers

Answer:

(2,4)

Step-by-step explanation:

i did it on edge

happy holidays :)

Answer: It's B (-4, -8)

Step-by-step explanation:

HURRY UP PLZZZZZ

I NEED TO FINISHHHH

I WILL MARK BRAINLYEST!!!
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Answers

Answer:

I think 60

Step-by-step explanation:

have a great day

Answer:

The answer is $300

Step-by-step explanation:

15 dollars per lawn times 5 lawns per day is $75 and 75×4 is 300

1. What percent of 5 is 4?

What are we looking for?

5: a part or a whole?

4: a part or a whole?

Variable: ______=______

Answers

Answer:

1. 125% We are looking for the percentage. 5: Whole 4: Part

Step-by-step explanation:

Help for mon pls I’ll make you famous

Answers

Answer:

1. x>-1

2. x<4

3. x<-1

4. x>-2

5. x<-3

6. x<7

Step-by-step explanation:

1. 2x>-2 Divide both sides by 2.

/2 /2

x>-1

2. 4x<16 Divide both sides by 4.

/4 /4

x<4

3. x+4<3 Subtract both sides by 4.

-4 -4

x<-1

4. 5x>-10 Divide both sides by 5.

/5 /5

x>-2

5. 3x<-9 Divide both sides by 3.

/3 /3

x<-3

6. x-4<3 Add 4 to both sides.

+4 +4

x<7

Hope this helps you out...next time, try to figure it out yourself without asking a lot of questions. By looking at one example, you can probably apply what to do for the other inequalities.

What is the value of: -7/3 (1/2) (-1/2)?

Answers

Answer:

2.5

Step-by-step explanation:

Hope I helped

what is 150mm in meters

Answers

Answer:

150 millimetres = 0.15 metre

Check all the equations that apply to meet the Segment Addition Postulate in segment OQ. OP = 6x + 5, PQ = 4x and OQ = 45.

Answers

Answer:

[tex]6x + 5 + 4x = 45[/tex]

[tex]10x = 40[/tex]

Step-by-step explanation:

Given

[tex]OP = 6x + 5[/tex]

[tex]PQ = 4x[/tex]

[tex]OQ = 45[/tex]

The given parameters show that P is a point between O and Q.

So:

[tex]OQ = OP + PQ[/tex]

Substitute values for OP, PQ and OQ

[tex]45 = 6x + 5 + 4x[/tex]

[tex]6x + 5 + 4x = 45[/tex] --- This is an equation

Collect Like Terms

[tex]6x + 4x = 45 - 5[/tex]

[tex]10x = 40[/tex] ------ This is another

Make x the subject

[tex]x = \frac{40}{10}[/tex]

[tex]x = 4[/tex]

Who walks at a faster rate: Jake who walks 60 feet in 10 seconds or Lucy who takes 5 seconds to walk 25 feet?

Answers

Answer:

Jake

Step-by-step explanation:

The average rate of change is distance divided by time. You want both of their rates in feet per second. 60 feet divided by 10 seconds is 6 feet per second. 25 feet divided by 5 seconds is 5 feet per second. 6>5

Answer:

Step-by-step explanation:

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What is the slope of y = -4x- 3?

Answers

Answer:

-4

Step-by-step explanation:

Given line:

y = -4x - 3

It is given in slope-intercept form:

y = mx + b, where m is the slope

Comparing with the given we see that

m = -4, so the slope is - 4

A diver starts out at 384 feet below the surface (or - 384 feet). She then swims upward 242 feet. Use a signed number to represent the diver's current depth.

Answers

Answer:

-142 feet

Step-by-step explanation:

-384+242 feet

=-142 feet

PLS GIVE BRAINLIEST

Hermina cut a ft by ft piece of plywood down the diagonal.

A rectangle is 4 feet wide and 8 feet long. A diagonal cut is shown with a line labeled c. The cut divides the rectangle in half and creates two right triangles. The hypotenuse of each right triangle is the line labeled c.

What is the length c of the cut, in feet?

Answers

Answer:

[tex]\sqrt{80} = c[/tex] is the answer.

Step-by-step explanation:

We can solve this using the Pythagorean theorem.

We know we can use the pythagorean theorem because it has a 90 degree angle.

[tex]a^{2}+ b^{2}= c^{2}[/tex]

We are given the sides 4 and 8.

[tex]4^{2} + 8^{2} = c^{2}[/tex]

[tex]80 = c^{2} \\\\\sqrt{80} = c[/tex]

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Answer:

Step-by-step explanation:

80 feet

What is the measure of angle f?

Answers

Answer:

130 fj is a little bit of a good job for the first time in a new generation of companies in a little

Step-by-step explanation:

its 130 inches tall and a good job to do with my first day of work at a time when the first thing you can get to the point where

What number divided by−3 gives 12 as the result?

Answers

Answer:

-36

Step-by-step explanation:

x / (-3) = 12

x = 12*(-3)

x = -36

An airplane flew 2,400 miles in 4 hours.if the plane flew the same number of miles each hour, how many miles did it fly in 1 hour ?

Answers

It flew 600 miles per hour.

1200/4 = 600

How do I find y to solve for the vertex? (Transformations, Quadratic functions)
I know how to solve for the x but I'm confused on solving for the Y. Thank you!

Answers

Answer:

the other answer is zero.

Step-by-step explanation:

Step 1: Use the vertex form, [tex]y=a(x-h)^2+k[/tex], to determine the values of a, h, and k. The "k" value is always the "y" value in a ordered pair. Since there is no "k" value, the "k" value will just be zero. In turn, since the "k" value is zero... so will the "y" value be zero.

[tex]a=8\\\\h=21\\\\k=0[/tex]

Lines QS and NR intersect at P. Ray PM is perpendicular to line SQ.

What is the value of y?

Answers

Answer:

A. 13

Step-by-step explanation:

[tex] (6y - 14) + 90 + (2y) = 180 [/tex] (angles on a straight line)

Solve for y

[tex] 6y - 14 + 90 + 2y = 180 [/tex]

Collect like terms

[tex] 6y + 2y - 14 + 90 = 180 [/tex]

[tex] 8y + 76 = 180 [/tex]

Subtract 76 to both sides

[tex] 8y + 76 - 76 = 180 - 76 [/tex]

[tex] 8y = 104 [/tex]

Divide both sides by 8

[tex] \frac{8y}{8} = \frac{104}{8} [/tex]

[tex] y = 13 [/tex]

3.
Mr. Hickman's cherry tree grew 12 inches in of a year. At that rate,
4
how much would it grow in 1 year?

Answers

Answer:

At the given rate, Mr. Hickman's cherry tree would grow 16 inches in 1 year.

Step-by-step explanation:

I assume the actual question is:

"Mr. Hickman` s cherry tree grew 12 inches in 3/4 of a year. How much would it grow in one year ?"

As stated,

In 3/4 of a year, Mr. Hickman's cherry tree grew = 12 inches

Therefore,

In 1 year, Mr. Hickman's cherry tree would grow = [tex]\frac{1}{\frac{3}{4} }*12[/tex] inches

= 4/3 * 12 inches

= 16 inches

Hence, at the given rate, Mr. Hickman's cherry tree would grow 16 inches in 1 year.

pls help meeee plsssss

Answers

Consider lines AB and CD are interesting lines,

they intersect at the point E.

/ AED and / BEC are vertically opposite angles

/ AED~/ BEC as vertically opposite angles are equal.

A newspaper ran a story concerning the increasing prices of mobile phones. The story stated that mobile phone prices dropped a few years ago, but now are beginning to increase in price because of added features.
• According to the story, the average price of all mobile phones a few years ago was £215.
• A large random sample of mobile phones (n = 200) was taken, and their prices recorded.
• We wish to use a hypothesis test to determine if the average price of all mobile phones is now greater than £215.
Required: Define the hypotheses, and with reference to the applicable random variable distribution, find the rejection region appropriate for this test if we are using the significance level α = 0.05.

Answers

Answer:

H0 : μ = 215

H1 : μ > 215

Rejection region :

Zstatistic > Z0.05

Step-by-step explanation:

Given that:

Average price of all mobile phones was £215

Sample size = 200

Significance level (α) = 0.05

To determine if the average price of all mobile phones is now greater than £215

The Null hypothesis (H0) :

H0 : μ = 215

Alternative hypothesis (H1) :

H1 : μ > 215

The rejection region :

|Zstatistic > Zα|

α = 0.05 ; Z0.05

Rejection region :

Zstatistic > Z0.05

Choose all the expressions that are equal to 0.7 × 0.41.
A. 7100×41100
B. 710×41100
C. 7100×4110
D. 710×4110
E. 70100×41100

Answers

Answer:

None of the expressions is equal to 0.7 x 0.41.

Step-by-step explanation:

Given that 0.7 x 0.41 is equal to 0.287, to determine which options are equal to said operation, the calculations set out for each of them must be performed:

A. 7,100 × 41100 = 291,810,000

B. 710 × 41100 = 29,181,000

C. 7100 × 4110 = 29,181,000

D. 710 × 4110 = 2,918,100

E. 70100 × 41100 = 2,918,100,000

Therefore, looking at all the results produced by the predisposed calculations, it is evident that none of the expressions is equal to 0.7 x 0.41.

There is no expression equivalent to the given expression and this can be determined by using the arithmetic operations.

Given :

Expression -- 0.7 × 0.41

The arithmetic operations can be used in order to evaluate the given expression.

[tex]0.7\times 0.41 = 0.287[/tex]

Now, check all the options in order to determine the correct option.

A) 7100×41100