The Great Pyramid of Giza in Egypt is a square pyramid. The height is approximately 450 feet, and the side length of the base is approximately 750 feet. What is the lateral surface area of the pyramid rounded to the nearest thousandth?

A. 563,000 square feet

B. 1,312,000 square feet

C. 1,441,000 square feet

D. 879,000 square feet

Answers

Answer 1

879,000 square feet  is the lateral surface area of the pyramid

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The lateral surface area of a square pyramid can be calculated using the formula L = (1/2)Pl

where P is the perimeter of the base and l is the slant height of the pyramid.

Since the base of the pyramid is a square, the perimeter is 4 times the length of one side, or 4 × 750 = 3000 feet.

To find the slant height, we can use the Pythagorean theorem with one leg equal to half the length of the base (375 feet) and the other leg equal to the height (450 feet):

l =√375² + (450)²

= 583.095 feet

Therefore, the lateral surface area is:

L = (1/2) × 3000 × 583.095

= 879,000 square feet

Hence,879,000 square feet  is the lateral surface area of the pyramid

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Related Questions

Daniel used 4 strawberries and 12 blueberries to make a parfait. What was the ratio of the number of strawberries to the number of blueberries in the parfait?

A- 1:2
B- 1:3
C- 1:4
D- 1:6​

Answers

Answer:

C- 1:3

Step-by-step explanation:

You have to simply 4 and 12, which becomes 1 and 3 (by dividing both numbers by 4). Then I guess you just keep a colon symbol in between 1 and 3.

Josh has a rewards card for a movie theater.
• He receives 15 points for becoming a rewards card holder.
• He earns 3.5 points for each visit to the movie theater.
• He needs at least 55 points to earn a free movie ticket.
Which inequality can Josh use to determine x, the minimum number of visits he needs
to earn his first free movie ticket?

PLSS HELPPPP =((( plss

Answers

Answer:

55 ≤ 3.5x + 15

Step-by-step explanation:

Missing Inequality.

Given that:

Josh has a reward card for movie theater.

He receives 15 points for becoming a rewards card holder.

He earns 3.5 points for each visit to the movie theater.

He needs at least 55 points to earn a free movie ticket.

To Find:

Which inequality can Josh use to determine x, the minimum number of visits he needs to earn his first free movie ticket?

Solution:

From the given we know that:

Points Josh received for becoming a member = 15

Points Josh received for visiting the moving theater = 3.5

Total points needed for a free movie ticket = 55

Note that:

< = Less than

> = Greater than

≤ = Less than or equal to

≥ = Greater than or equal to

Thus, We know that Josh need to get less than or equal to 55.

Therefore, we use this sign ≤

Since we know that we need to get less than or equal to 55 then

we get

55 ≤ 3.5x + 15.

Hence, the inequality that Josh can use to determine x, the minimum number of visits he needs to earn his first free movie tickets is:

55 ≤ 3.5x + 15

Kavinsky

Write two equivalent expressions to represent the sum of the angles of this triangle.

please help I can't remember how find the sums of a triangles angles
100 points

Answers

Answer:

Step-by-step explanation:

The 3 angles add up to 180 degrees

2y + 2y + 5y = 180

9y = 180

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

As we know, Sum of all three Angles of Triangle is equal to 180° [ by Angle sum property of triangle ]

So, the required expression is :

[tex]\qquad \tt \dashrightarrow \:5y + 2y + 2y = 180[/tex]

or

[tex]\qquad \tt \dashrightarrow \:9y = 180[/tex]

if you solve for y, you will get y = 20°

And the angles as 100°, 40° and 40°

How can I save the earth

Answers

Answer:

Recycling etc.

Step-by-step explanation:

Eliminate Waste from Lunches.

Stop Littering.

Reduce Paper Consumption.

Save Electricity.

Save Water.

Swap Regular School Supplies.

Bring Reusable Bags to the Grocery Store.

Walk to School or Take a Bike, Avoid Taking Cars or Carpool When Possible.

What are the removable discontinuities of the following function? f (x) = startfraction x squared minus 36 over x cubed minus 36 x endfraction x = –6, x = 0, and x = 6 x = –6 and x = 6 x = 0 and x = –6 x = 0 and x = 6

Answers

The removable discontinuity is at negative 6 and 6. Then the correct option is B.

What is a function?

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The function is given as

[tex]f\rm (x) =\rm \dfrac{x^2-36}{x^3-36x}[/tex]

The expression can be written as

[tex]f\rm (x) =\rm \dfrac{x^2-36}{x(x^2-36)}[/tex]

[tex]f\rm (x) = \dfrac{1}{x}[/tex]

The non-removable discontinuity is x = 0.

More about the function link is given below.

https://brainly.com/question/5245372

Answer :its B

Step-by-step explanation: got it right on edg 2022

Use the number line to plot the numbers. then arrange them in order from smallest (1) to largest (4). startroot 0.2 endroot startroot 0.4 endroot 0.2 0.4

Answers

The number line is shown below. The numbers 0.2, 0.4, √0.2, and √0.4 are in ascending order.

What is a number line?

A number line is a line on which numbers are plotted in a particular interval.

The numbers are given below.

[tex]\sqrt{0.2}, \sqrt{0.4}, 0.2, 0.4[/tex]

Arrange in ascending order, then we have

[tex]0.2, 0.4, \sqrt{0.2}, \sqrt{0.4}[/tex]

Then mark these numbers on the number line.

The number line is shown below.

More about the number line link is given below.

https://brainly.com/question/13189025

Answer:

√0.2   ✔3

√0.4   ✔4

0.2   ✔1

0.4   ✔2

Step-by-step explanation:

My image shows that I got it correct on edge! Hope this helps:D

Please help fast. PLEASE PLEASE PLEASE

Answers

Answer:

D

Step-by-step explanation:

By subtracting the second part of the equation, you are doing the same as adding a negative.

(3x • 6)(6x • 4) it's asking me to make another equation to equal​

Answers

Answer:

(18x) * (24x)

Step-by-step explanation:

Rose is 60 inches tall. How many feet tall is Rose?
Enter the correct answer in the box.

Answers

Answer: 5 feet

Step-by-step explanation:

Answer: 5 feet

Step-by-step explanation:

What is the measure of the missing angle:
1150
75°
?
750
40°
40°
35°

Answers

Answer: The measure of the missing angle is 115∘.

Step-by-step explanation: To find missing interior angles, you have to add the two angles that are known and see how much they add up.  The work is done below:

40∘ + 75∘ = 115∘.

In order to find out the missing interior angle, we have to subtract 115∘ from 180∘ to find that angle:

180∘ - 115∘ = 65∘, which is the missing angle that is inside the triangle.

Now, you're probably wondering how any of this has to do with finding the angle that has a ? on it.  Well, us finding the missing interior angle inside of the triangle is what's going to help us find that angle with a ? on it.  To find that angle, you need to subtract 65∘ from 180∘ to find the angle that you need:

180∘ - 65∘ = 115∘.

Therefore, 115∘ is your answer.

Let me know if this is right! :)

can someone help me with this I don't get it and I need help?

Answers

Answer:

Its a graph. Each of those black dots represent a person answering the survey. For example: 2 people only chose 3 letters, 1 person only chose 4 letters, 2 people chose 5 letters, and so on. So the answer is 10. Hope this helps!

Step-by-step explanation:

Find the surface are of the rectangular prism below.

Answers

Answer:

The surface of the rectangular prism is 268

Step-by-step explanation:

SA=2B+ph if u use this it will help you as it is the formula for surface area i hope this helps

Solve each equation a x - b x / x + C equals D if a cannot equal to B + d

Answers

Answer:

x=dc/a-b-d

I hope this helps

Determine the surface area of each triangular prism. Round to the nearest tenth if necessary.

Answers

Answer:

108 cm^2211.2 cm^2308.8 mm^2560 yd^2

Step-by-step explanation:

In each case, you can use the given formula to find the surface area. The area of the triangular base (B) is ...

  A = 1/2bh

where b is the base of the triangle, and h is the height of the triangle perpendicular to that base.

You will notice that B is multiplied by 2 in the area formula, because there is a triangular base at either end of the prism. That means we can save some work by not multiplying by 1/2, and then by 2.

__

For figures 1, 3, 4, the triangle is a right triangle, so the base and height make up two of the three sides of it. The perimeter is finished by adding the length of the hypotenuse. That sum is then multiplied by the "height" of the prism (distance between bases) to find the lateral area as part of the area formula (Ph).

In figure 3, the triangle is equilateral, so the perimeter is not the sum of the base and height and a third side. In the attached spreadsheet, we have used a value "rest of perimeter" to make the sum be the right value for use in computing the value of Ph. For figure 3, that is 6+6-5.2=6.8. Then the sum 6 +5.2 +6.8 is 18, the proper perimeter for that figure.

__

The idea here is to let a spreadsheet do the tedious work of applying the same formula to different sets of numbers. The areas are ...

108 cm^2211.2 cm^2308.8 mm^2560 yd^2

__

By way of example, we can "show work" for problem 1:

1. S = Ph +2B

  S = (4 +3 +5)(8) +2(1/2)(4)(3) = 12(8) +12 = 96 +12 = 108 . . . cm^2

What is the value represented by the letter E on the box plot of the data?

45, 45, 50, 55, 60, 65, 72, 75, 80, 80, 90

Answers

Answer:

90

Step-by-step explanation:

90 because it's your maximum.

What is the total price of a boat with an original price of ​12916$​, if it is sold at a ​15% ​discount? The sales tax rate is 3 3/4 ​%

Answers

Answer:

$11390.30

Step-by-step explanation:

Discount

12916 x 0.15 = 1937.4

Discounted price

12916 - 1937.4 = 10978.6

Tax of 3 and 3/4 percent which I think is 0.0375

10978.6 x 0.0375 = 411.6975

Total

10978.6 + 411.6975 = $11390.2975

2. Find the general relation of the equation cos3A+cos5A=0

Answers

Answer:

[tex]A=\frac{\pi}{8}+\frac{n\pi}{4}or\ A=\frac{\pi}{2}+n\pi[/tex]

Step-by-step explanation:

Find angles

[tex]cos3A+cos5A=0[/tex]

________________________________________________________

Transform the expression using the sum-to-product formula

[tex]2cos(\frac{3A+5A}{2})cos(\frac{3A-5A}{2})=0[/tex]

________________________________________________________

Combine like terms

[tex]2cos(\frac{8A}{2})cos(\frac{3A-5A}{2})=0\\\\ 2cos(\frac{8A}{2})cos(\frac{-2A}{2})=0[/tex]

________________________________________________________

Divide both sides of the equation by the coefficient of variable

[tex]cos(\frac{8A}{2})cos(\frac{-2A}{2})=0[/tex]

________________________________________________________

Apply zero product property that at least one factor is zero

[tex]cos(\frac{8A}{2})=0\ or\ cos(\frac{-2A}{2})=0[/tex]

________________________________________________________

Cos (8A/2) = 0:

Cross out the common factor

[tex]cos\ 4A=0[/tex]

________________________________________________________

Solve the trigonometric equation to find a particular solution

[tex]4A=\frac{\pi}{2}or\ 4A=\frac{3\pi}{2}[/tex]

________________________________________________________

Solve the trigonometric equation to find a general solution

[tex]4A=\frac{\pi}{2}+2n\pi \ or\\ \\ 4A=\frac{3 \pi}{2}+2n \pi\\ \\A=\frac{\pi}{8}+\frac{n \pi}{4\\}[/tex]

________________________________________________________

cos(-2A/2) = 0

Reduce the fraction

[tex]cos(-A)=0[/tex]

________________________________________________________

Simplify the expression using the symmetry of trigonometric function

[tex]cosA=0[/tex]

________________________________________________________

Solve the trigonometric equation to find a particular solution

[tex]A=\frac{\pi }{2}\ or\ A=\frac{3 \pi}{2}[/tex]

________________________________________________________

Solve the trigonometric equation to find a general solution

[tex]A=\frac{\pi}{2}+2n\pi\ or\ A=\frac{3\pi}{2}+2n\pi,n\in\ Z[/tex]

________________________________________________________

Find the union of solution sets

[tex]A=\frac{\pi}{2}+n\pi[/tex]

________________________________________________________

A = π/8 + nπ/4 or A = π/2 + nπ, n ∈ Z

Find the union of solution sets

[tex]A=\frac{\pi}{8}+\frac{n\pi}{4}\ or\ A=\frac{\pi}{2}+n\pi ,n\in Z[/tex]

I hope this helps you

:)

A cylinder has a base diameter of 6 feet and a height of 2 feet. What is its volume in cubic feet, to the nearest tenths place?

Answers

The cylinder that has a diameter and height of 6 feet and 2 feet respectively has a volume of 56.5 ft³

Volume of a cylinder

volume of a cylinder = πr²h

where

h = heightr = radius

Therefore,

radius = 6 / 2 = 3 feet

height = 2 feet

volume of the cylinder = 3.14 × 3² × 2

volume of the cylinder = 3.14 × 9 × 2

volume of the cylinder = 3.14 × 18

volume of the cylinder = 56.52

volume of the cylinder = 56.5 ft³

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Please help 10 points

Answers

Answer:

your answer to this question is option c

please consider as brainlest if i helped you

answwer this please for 20 points and brainiest

Answers

264/2200 = 0.12

0.12*100 = 12%

Answer:

ur mom

Step-by-step explanation:

8%

PLS HELP GIVING 11 POINTS

Answers

Answer:

3. 40 4. 132

Step-by-step explanation:

you multiply the length and the width

Answer:

3. 40. 4. 132

Step-by-step explanation:

You find the area by doing base x height so 10 x 4 is 40 and 12 x 11 is 132.

how many terms are in each factor of this expression?
5(6 + 4x)

Answers

Answer:

2 terms

Explanation:

[tex]\dashrightarrow \ \ \sf 5(6 + 4x)[/tex]

[tex]\dashrightarrow \ \ \sf 5(6) + 5(4x)[/tex]

[tex]\dashrightarrow \ \ \sf 30 + 20x[/tex]

"x" is one term and "30" which is a constant is another term.

→ There are total two terms in this factor.

Answer:

2 Terms

Step-by-step explanation:

There will be two terms ..

=> 5(6 + 4x)

=> 30 + 20x

Do number 7 please thanks

Answers

Answer:

120%

Step-by-step explanation:

1998/1665 = 1.2

1.2x100 = 120%

Write the next three terms of the geometric sequence 2916,972,324,108

Answers

Step-by-step explanation:

The common ratio is: r=0.3333333333333333

The sum of this series is: s_4=4320

The general form of this series is: a_n=2916*0.3333333333333333^(n-1)

Help me why is it this answer? How do i solve that type of math problem green is the answer ​

Answers

Answer:

To increase a price, add the percentage you wish to increase it by to 100%, convert the percentage into a decimal by dividing by 100, then multiply this by the original price.

To decrease a price, subtract the percentage you wish to decrease it by from 100%, convert the percentage into a decimal by dividing by 100, then multiply this by the original price.

-------------------------------------------------------------------------------------------------

100% represents the original price.

Therefore, 100% = $599.99

A 20% discount means that the price is now 80% of the original price,
as 100% - 20% = 80%

To find 80% of the original price, convert 80% to a decimal and multiply it by the original price:

80% = 80/100 = 0.8

Therefore, 80% of $599.99 = 0.8 x $599.99

                                              = $479.992

Finally, we need to apply a sales tax of 6%.  We can do this in 2 ways:

Way 1

Work out 6% of the discounted price, then add this to the discounted price to find the final price:

Sales tax = 6% of $479.992

               = 0.06 x $479.992

               = $28.79952

Final price = discounted price + sales tax

                  = $479.992 + $28.79952

                  = $508.79 (nearest cent)

Way 2

We need to increase the discounted price of $479.992 by 6%.  Therefore, the final price will be 106% of the discounted price as
100% + 6% = 106%

Final price = 106% of discounted price

                  = 1.06 x $479.992

                  = $508.79 (nearest cent)

Write an equation in slope-intercept form of the line shown.

A graph of a line. The line passes through ordered pair 1 comma negative 3 and ordered pair 3 comma 1.

An equation is

Answers

Answer:

y= - 1/2x +2.5 or the slope is 2 if were going positive y-int is the same

Step-by-step explanation:

Where is the removable discontinuity of f (x) = startfraction x 5 over x squared 3 x minus 10 endfraction located? x = –5 x = –2 x = 2 x = 5

Answers

The removable discontinuity of the function f(x) = (x+5)/(x^2 +3x-10) is at x = -5 (given by Option A).

What are discontinuities?

Holes in the graph of function, where its undefined, or non-continuous, is called discontinuity.

The points in the domain of the function over which its not continuous, is called point of discontinuity for that function.

What is removable discontinuity?

A discontinuity is removable if the limit of the function at the point of discontinuity exists but this limiting value is not the value of the function at that point.

We can remove that discontinuity by making the value of the function equate to the limiting value of the function at that point.

The given function is:

[tex]f(x) = \dfrac{(x+5)}{(x^2 +3x-10)}[/tex]

Factoring the denominator, we get:

[tex]x^2 + 3x -10 = x^2 + 5x - 2x - 10 =x(x+5) - 2(x+5) = (x+5)(x-2)[/tex]

Therefore, we get:

[tex]f(x) = \dfrac{(x+5)}{(x+5)(x-2)}[/tex]

The function is not defined if x = -5, or x = 2 since at those places, the denominator would become 0. (we cannot cancel out (x+5) from numerator and denominator for all x, as it isn't defined for x = -5

Also, we have:

[tex]\lim_{x\rightarrow 2}f(x)= \infty\\\lim_{x\rightarrow -5}f(x) = \lim_{x\rightarrow -5}\dfrac{(x+5)}{(x+5)(x-2)} = \lim_{x\rightarrow -5}\dfrac{1}{(x-2)} = -\dfrac{1}{7}[/tex]

We cancelled out (x+5) from numerator and denominator because x is limiting to -5 but isn't equal to -5.

For discontinuity of x = -5, the limit of f(x) exist (left and right limit both will come as 1/3). But f(-5) is not defined. So we can remove this discontinuity by defining f(-5) = 1/3 and for rest of the values of x, it is same as before.

Thus, the removable discontinuity of the function f(x) = (x+5)/(x^2 +3x-10) is at x = -5 (given by Option A).

Learn more about discontinuities here:

https://brainly.com/question/7327714

Answer: Option A  -5

Step-by-step explanation: Just took the test

Sasha is making custom designs using the small trapezoidal prism she wants to cover each of the eight prisms in her current design in striped cloth on all sides she has 3500 cm² of stripped cloth does Sasha have enough cloth to cover all a prisms in her current design choose from the drop-down menu to correctly complete the statement

Answers

Send the drop down menu

CaN AnYoNE hElP?~ find the area pls.
326.555 in2

349.45 in2

303.66 in2

607.32 in2

Answers

Answer:

Im pretty sure the answer is B) 349.45 in^2

Step-by-step explanation:

Hope This helps

Have A great Day

~Zero~

When given angle measures of 15°, 65°, and
90°, is it impossible to draw a triangle, possible
to draw only one triangle, or possible to draw
more than one triangle? Explain.

Answers

Answer:

it is impossible

Step-by-step explanation:

all shapes need to have all angles to add up to 180 but this triangle adds up to 170

You can make no triangle. It is impossible to draw a triangle.

15 + 65 + 90 = 170

It does not add up to 180 meaning you can not form a triangle with the three angle measures.
Other Questions
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