Find the Lateral AND Total Surface Area of a pyramid with slant height 6.8mi whose triangular base measures 11mi on each side. Each altitude of the base measures 9.5mi.

Answers

Answer 1

Answer:

Step-by-step explanation:

The given pyramid is a square based pyramid. The formula for determining the lateral surface area of a square base pyramid is expressed as

Lateral surface area = 1/2 × perimeter × slant height

From the information given,

Length of each side = 11 miles

Perimeter of base = 4 × 11 = 44 miles

Slant height = 6.8 miles

Lateral surface area = 1/2 × 44 × 6.8 = 149.6 miles²

The formula for determining the total surface area of a square base pyramid is expressed as

Total surface area = base area + (1/2 × perimeter × slant height)

Base area = 11² = 121

Total surface area = 121 + (1/2 × 44 × 6.8) = 270.6 miles²


Related Questions

Tell whether the graph of the quadratic function
y − 4x2 = 4x + 5 opens upward or downward and whether the function has a maximum or a minimum.
The graph opens (select: downward, upward) and and the function has a
(select: maximum, minimum).

Answers

Answer:  Graph attached.

Step-by-step explanation:

It is easier to figure it out if you can see it.

Also easier if you rewrite the equation in quadratic form:

y = 4x² + 4x + 5

Vaughn is ordering light bulbs for his business. He always orders three extra bulbs. The following shows how the number of light bulbs he orders, y, changes as the number of light bulbs burnt out, x, changes.


Which equation shows this relationship?
A.
y = 3x
B.
y = x + 3
C.
3y = x
D.
y + 3 = x

Answers

Answer: D

Step-by-step explanation:

Because  if y is the number of light bulbs he orders and he always orders three extra or three more that means that for any number of orders that he makes there will be three more. That three will never change since he always others three more than he ordered.

Answer:

y = x + 3

Step-by-step explanation:

Solve for X 2( 5.5x+1) =24

Answers

Answer:

X=2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2(5.5x+1)=24

(2)(5.5x)+(2)(1)=24(Distribute)

11x+2=24

Step 2: Subtract 2 from both sides.

11x+2-2=24-2

11x=22

Step 3: Divide both sides by 11.

11x/11=

22/11

X=2

Hope this helps

Which expression below is true, based on this picture?

Answers

Answer:

I think it's the 2nd one.

I didn't learn this topic yet.

A theorem in geometry states that the measure of an inscribed angle is half the measure of it's intercepted arc. In the figure, angle C intercepts arc AB and Line AB is the diameter of the circle. Which equation is a step in showing that m angle C = 90 degrees?

Answers

Answer:

c

Step-by-step explanation:

Answer:Awnser choice c

Step-by-step explanation:

Which graph shows the solution to the system of linear inequalities?
2x - 3y =12
y <-3

Answers

Answer:

x = 3/2

Step-by-step explanation:

Please answer the question it’s for my math SAT

Answers

Answer: D.

This is tricky.

Think of the equation as an equation for a line

where in this case.      

[tex]C=5/9(f-32)[/tex]

or

[tex]C=5/9f-5/9(32)[/tex]

You can see the slope of the graph is [tex]5/9[/tex]  which means that for an increase of 1 degree Fahrenheit, the increase is [tex]5/9[/tex].

[tex]c=5/9(f)[/tex]

[tex]c=5/9(1)=5/9[/tex]

Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of [tex]9/5[/tex] Degrees Fahrenheit

[tex]c=5/9(f)[/tex]

[tex]1=5/9(f)[/tex]

[tex]f=9/5[/tex]

Since [tex]9/5=1.8[/tex] Statement 2, is true.

The only answer that has both statement I and statement II as true is D, but if you have time and want to be absolutely thorough, you can also check to see if statement III (an increase of [tex]5/9[/tex] degree Fahrenheit is equal to a temperature increase of 1 degree Celsius) is true:

[tex]c=5/9(f)[/tex]

[tex]c=5/9(5/9)[/tex]

[tex]c=25/81[/tex] which is ≠ 1)

An increase of [tex]5/9[/tex] degree Fahrenheit leads to an increase of [tex]25/81[/tex]

not 1 degree, Celsius, and so Statement III is not true.

The final answer is D.

I hope this helped x

Answer:

D!!!!

Step-by-step explanation:

please help and look at the picture

Answers

Answer:

12

Step-by-step explanation:

If i could show i would but i did it and it is 12.

So the right answer is -12.

Look at the attached picture

Hope it will helpful to you...

Please help as soon as you see this......

Simplify the expression..
[tex]4x^{3}[/tex]×[tex]3x^{-5}[/tex]

Answers

Answer:

Step-by-step explanation:

(4)(3) = 12

x^3(x^[-5]) = x^(3 - 5) = x^(-2)

                                                                                                          12

Combining these in multiplication we get the final answer    ------------

                                                                                                         x^2

Can please someone help me??!!!!! Find the area of each triangle (A-D). Show your reasoning please.

Answers

The area of a triangle is LxW/2. All you have to do is count the square units on the length and width, multiply them then divide by 2. For example the area of triangle A is 8 units. 8x2=16/2 is 8

I need help please with finding the gcf of each pair of monomials (10 points )

Answers

Answer:

Step-by-step explanation:

3p^4 and 4p =  p(3p^3 and 4)

14xy^2 and 21y^3 =   7y^2(2x and 3y)

Does anyone know the correct answers??

Answers

Answer:

i believe the answers are:

false

true

true

Step-by-step explanation:

it's been a while, so im not exactly sure? but im pretty sure this is right.

Answer:

Same Im pretty sure it is:

False

True

True

Step-by-step explanation:

Hi I really need help on this question I will give you 30 points if you help me ty stay safe

Answers

Answer:

erm

Step-by-step explanation:

4, 5 27

The following situations showed a strong correlation. Which implies causation?

A. an increase in the average speed a car travels and a decrease in the time it takes to reach the destination



B. an increase in a company's advertising budget and an increase in their profit



C. an increase in temperature and an increase in ice cream sales



D. an increase in salary and a decrease in sick days

Answers

Answer:

A. an increase in the average speed a car travels and a decrease in the time it takes to reach the destination

Step-by-step explanation:

As an increase in the speed of the car decrease the time it takes to reach the destination.

What is correlation?

Correlation is the dependence of any statistical relationship between the causal or may be two random variables. It usually indicates the type of association.

As the increase in the car speed will lead to a decrease in the distance and the time it takes to reach the destination. Hence positively correlated.

Find out more information about the causation.

brainly.com/question/8531455

-11p²-4=0
How do I solve this equation using quadratic formula?

Answers

Answer:

±(2√11 * i) / 11

Step-by-step explanation:

Quadratic Formula: x = (-b ± √b^2 - 4ac) / 2a

a = -11

b = 0

c = -4

(0 ± √0 - 176) / 22

± √-176 / 22

±(4√11 * i) / 22

Simplify:

±(2√11 * i) / 11

***i is for imaginary number***

Choose the number sentence that illustrates the distributive property of multiplication over addition.
A. 2 × (7 + 8) = (2 + 7) × (2 + 8)
B. 2 × (7 + 8) = (2 × 7) + (2 × 8)
C. 2 × (7 + 8) = (2 × 7) + 8

Answers

Answer:

A

Step-by-step explanation:

It is the only equation with addition in all the parenthesis.

Examine the system of equations. −5x + 5y = 40 4x + 3y = 24 What is the solution? (, )

Answers

Answer:

0 and 8

Step-by-step explanation:

for some reason i got a warning giving you the answer so here it is, i got the evidence from a calculator.

Answer:

0,8 is correct

Step-by-step explanation:

The Ocean Cleanup project estimates its 001/B system could clean up 733
tons of plastic every month. Write a y = mx equation to show this.

Answers

Answer:

y = 733x

Step-by-step explanation:

y equals the total amount of waste collected, 733 is the number of tons collected every month, and x is the number of months.

If this answer is correct, please make me Brainliest!

hiiii.. please help me with this limit question ​

Answers

Answer:

π

Step-by-step explanation:

Solving without L'Hopital's rule:

lim(x→0) sin(π cos²x) / x²

Use Pythagorean identity:

lim(x→0) sin(π (1 − sin²x)) / x²

lim(x→0) sin(π − π sin²x) / x²

Use angle difference formula:

lim(x→0) [ sin(π) cos(-π sin²x) − cos(π) sin(-π sin²x) ] / x²

lim(x→0) -sin(-π sin²x) / x²

Use angle reflection formula:

lim(x→0) sin(π sin²x) / x²

Now we multiply by π sin²x / π sin²x.

lim(x→0) [ sin(π sin²x) / x² ] (π sin²x / π sin²x)

lim(x→0) [ sin(π sin²x) / π sin²x] (π sin²x / x²)

lim(x→0) [ sin(π sin²x) / π sin²x] lim(x→0) (π sin²x / x²)

π lim(x→0) [ sin(π sin²x) / π sin²x] [lim(x→0) (sin x / x)]²

Use identity lim(u→0) (sin u / u) = 1.

π (1) (1)²

π

Solving with L'Hopital's rule:

If we plug in x = 0, the limit evaluates to 0/0.  So using L'Hopital's rule:

lim(x→0) [ cos(π cos²x) (-2π cos x sin x) ] / 2x

lim(x→0) [ -π cos(π cos²x) sin(2x) ] / 2x

-π/2 lim(x→0) [ cos(π cos²x) sin(2x) ] / x

Again, the limit evaluates to 0/0.  So using L'Hopital's rule one more time:

-π/2 lim(x→0) [ cos(π cos²x) (2 cos(2x)) + (-sin(π cos²x) (-2π cos x sin x)) sin(2x) ] / 1

-π/2 lim(x→0) [ 2 cos(π cos²x) cos(2x) + π sin(π cos²x) sin²(2x) ]

-π/2 (-2)

π

Can I Please Get Help

Answers

Answer:

C

Step-by-step explanation:

Answer:

D because 45*2

Step-by-step explanation:

4^2-2^3=?
a. 1/2
b.2
c. -128

Answers

Answer:

2

Step-by-step explanation:

4^2-2^3

2^2(2) - 2^3

2^4 - 2^3

2^(4/3)

2^1 = 2

What is the mean of this

15, 16, 15, 13, 19, 20, 21

what is the answer?

A: 15

B: 16

C: 17

D: 18

Answers

Answer; C, 17

Step-by-step explanation: add all the numbers and divide by 7

The answer is 17 (C) I hope you do great

A bus company recorded the ages, in years, of the people on coach A and the people
on coach B.
Here are the ages of the 23 people on coach A.
41 42 44 48 52 53 53 53 56 57 57 59
60 61 63 64 64 66 67 69 74 77 79
(a) Complete the table below to show information about the ages of the people on coach A.

Answers

Answer:

Median : 59

Lower quartile : 53

Upper quartile : 66

Least age: 41

Greatest age:  79

Step-by-step explanation:

In a ordered list, the median is the number at the half position. With 23 numbers, the half position the 12th number (there are 11 number above and blow it)

41 42 44 48 52 53 53 53 56 57 57 59  60 61 63 64 64 66 67 69 74 77 79

The lower quartile  is the number at the half position, only considering the first data points until the median.

41 42 44 48 52 53 53 53 56 57 57

The upper quartile  is the number at the half position, only considering the data points after the median.

60 61 63 64 64 66 67 69 74 77 79

The least and greatest ages are easily found.

Step-by-step explanation:

median = 58

lower quartile = 53

upper quartile = 66

leastest age = 40

greatest age = 82

Refer to the Parallelogram below to complete the following problem if m angle B= 3x- 9 and m angle C= 39°, then what is the value of x?

Answers

Answer:

44

Step-by-step explanation:

Answer:

The answer is 44

Step-by-step explanation:

Hope this HELPED you

If y is 1.5 when x is 3, and y varies directly with x, find y when x is 9.
0.5 4.5 9.5 18

Answers

Answer:

4.5

Step-by-step explanation:

9 is 3 times more than 3

4.5 is three times more than 1.5

:)

brainliest? ily

in how many ways can the classes math, language arts, science and social studies be ordered on student schedules as the first four classes of their day

Answers

Answer:

16

Step-by-step explanation:

theres 4 different subjects that could be in each of 4 different slots, eg, science, ss, ela, or math could be in slot one, or the same for slot two, and so on and so forth.4 x 4 = 16

The required number of ways to study 4 different subject to first four classes is 16

What is method of counting?

If we have m number of works to do and n number of peoples then the number of ways to do the work is mxn

How to find number of ways?

Here we have given

Number of subjects = 4 that is math, science, art and social science

Number of classes = 4

Therefore the number of way to attending the class is

4x4 = 16

This is the conclusion to the answer.

Learn more about method of counting here-

https://brainly.com/question/15008651

#SPJ2

Which sentence about a geometric plane is
false?
A plane is an undefined term.
A plane is a one-dimensional figure.
A plane contains at least three points that
do not lie on the same line.
The intersection of two planes is a line.

Answers

Answer:

A plane is a one dimensional figure

How do I solve 8 (a+c)*6-(4a-8c)÷12 please explain I'm having trouble with this.
And the answer isn't
48(a+c)−3a−2c

Answers

Answer:

8(a+c)(6)−(

4a−8c

12

)

=

143

3

a+

146

3

c

Step-by-step explanation:

Answer:

copy it then paste it

Step-by-step explanation:

The base of a pentagonal prism is regular with an apothem of 4 cm. The height of the prism is 16 cm. Find the volume of the prism. Round your answer to the nearest cubic cm.

Answers

Answer:

volume ≈ 930 cm³ (nearest cubic cm)

Step-by-step explanation:

The base of the prism which is a pentagon is regular. The apothem which is a line drawn from the center to any side of the pentagon is 4 cm. The height of the prism is 16 cm.

The volume of a prism = Bh

where

B = base area

h = height of the prism

The base of the prism can be divided into 5 congruent triangles.But the base of the triangles is unknown.

The sum of interior angle of a pentagon is 540°. That means each angle is 108° . The triangle divide the angle into 2. Making the 2 base angle as 54° each. The last angle of the triangle at the center is 72°(remember sum of angle in a triangle is 180° which is 54° + 54° + 72° = 180°) .

The angle form the center can be divided by the line of height of the triangles. The angle will then be 36°. Using tangential ratio half of the length of the base of the triangle can be known. Therefore,

tan 36° = opposite/adjacent

tan 36° = opposite/4

opposite = 4 tan 36°

The full base of the triangles = 2(4 tan 36°)

area of each triangle = 1/2 × 2(4 tan 36°) × 4 = 16 tan 36°

Base area of the prism(pentagon) = 5 × 16 tan 36° = 80 tan 36°

Volume of the prism = Bh

where

h = 16 cm

B = 80 tan 36°

volume =  80 tan 36° × 16 = 1280  tan 36° = 1280  × 0.726542528

volume = 929.974435847  cm³

volume ≈ 930 cm³ (nearest cubic cm)


What is the estimated sum when 3,467 and
8.908 are rounded to the nearest thousand and
added

Answers

Answer:

about 12,000

Step-by-step explanation:

3,467 is rounded to 3,000

8,908 is rounded to 9,000

3,467 will be rounded to 3000
8,908 will be rounded to 9000
Add 300 and 9000 together and you get 11,000
Other Questions
A compound event consists of two or more simple events. The Pythagorean Theorem can be used to find the distance between points (3, 2) and (6, 4). Select all the points that could be the third vertex in the triangle. If many programs are kept in main memory, then there is almostalways another program ready to run on the CPU when a page faultoccurs. Thus, CPU utilization is kept high. If, however, we allocate alarge amount of physical memory to just a few of the programs, theneach program produces a smaller number of page faults. Thus, CPUutilization is kept high among the programs in memory. What would the working set algorithm try to accomplish, and why?(Hint: These two cases represent extremes that could lead toproblematic behavior.) it is biology ?!!iiii please help ..its soo much to comprehend What property is this called? 5(3x+6) Please help me How many atoms are in 4Ca3(PO4)2 Which equation can be used to solve for x in the following diagram? pls help Testbank Multiple Choice Question 86 Bonita Industries is constructing a building. Construction began on January 1 and was completed on December 31. Expenditures were $6300000 on March 1, $5260000 on June 1, and $8450000 on December 31. Bonita Industries borrowed $3180000 on January 1 on a 5-year, 10% note to help finance construction of the building. In addition, the company had outstanding all year a 8%, 3-year, $6410000 note payable and an 9%, 4-year, $12150000 note payable. What are the weighted-average accumulated expenditures? $8318333 $9720000 $20010000 $11560000 Two mammals with the genotype CcEr are crossed. 'C' produces a thick coat of fur and is dominant to 'c', which produces a thin fur coat. 'E' produces brown eyes and is dominant to 'e', which produces red eyes. What fraction of offspring would you except to have both a thin fur coat and brown eyes? Please Help.... 50 points. Which is NOT a correct statement about variables?A.Variables are letters or symbols.B.Variables can represent unknown quantities.C.Variables can appear in numerical expressions.D.Variables can represent quantities that change depending on the situation. kevin deposits $1000 at 9% annual interest, compounded quarterly. how long will it take for the account to earn $1000 interest ? Which event caused some to say America was in a "post-racial" era?O A. The election of Barack ObamaOB. The Civil Rights movementO C. Hurricane KatrinaD. The Emancipation Proclamation An art collector paid $7,000 for two paintings, a portrait and a landscape, at the same auction. Each painting cost $3,500.The collector predicts that the value of the landscape painting will increase by 15% per year. If she is correct, what will its valuebe one year after the date of purchase? You are assigned the design of a cylindrical, pressurized water tank for a future colony on Mars, where the acceleration due to gravity is 3.71 m/s^2. The pressure at the surface of the water will be 150 kPa , and the depth of the water will be 13.6 m . The pressure of the air outside the tank, which is elevated above the ground, will be 93.0 kPa .A) Find the net downward force on the tank's flat bottom, of area 2.15 m^2 , exerted by the water and air inside the tank and the air outside the tank. Why, according to an Etruscan foundation myth, was Rome built on the Palatine Hill?It was chosen by Caesar because it was the highest site in the land.It was the place where Romulus and Remus had been saved.It was the ancient capital of the Etruscan homeland.It was the starting point for Aeneas when he went to fight the Trojan War. Read the excerpt from chapter 2 of Night.It took us a long time to recover from this harsh awakening. We were still trembling, and with every screech of the wheels, we felt the abyss opening beneath us. Unable to still our anguish, we tried to reassure each other.How does the fact that Night is a memoir rather than a biography or informational text help the author achieve his purpose in this excerpt?The author is able to present an objective account of the situation.The author is able to personalize the event by using the words we and us.The author is able to give only the facts so that the reader understands the situation. The author is able to rely on the denotative meanings of words to tell about the event. Show your work and explain in full sentence how 4 2/6 is equivalent to 3 8/6. How are government corporations similar to other coorporations in the United States