A regular octagonal pyramid. Each side of the base is 6 cm long. it has a height of 10cm. Find the surface area of the pyramid​

Answers

Answer 1

9514 1404 393

Answer:

  470.16 cm²

Step-by-step explanation:

The apothem of the base is used for two purposes: to find the area of the base, and to find the slant height of each face.

The apothem of the base for side length s is ...

  s/2 = a·tan(π/8)

  a = s/(2·tan(π/8)) ≈ 7.24 cm

The slant height of a triangular face is found using the Pythagorean theorem. The apothem of the base and the height are legs of the right triangle whose hypotenuse is the slant height. For slant height x, we have ...

  x² = 10² + a² = 100 +52.46

  x ≈ √152.46 ≈ 12.35

__

The area of the 8 triangular faces will be ...

  A = 1/2Px . . . . where P is the perimeter of the pyramid

The area of the base will be ...

  A = 1/2Pa

So, the total surface area is ...

  A = 1/2P(a + x) = (1/2)(8)(6 cm)(7.24 +12.35 cm) ≈ 470.16 cm²

Answer 2

The answer is 470.16 cm²


Related Questions

A science experiment involves periodically measuring the number of mild cells present on a piece of bread at the start to the experiment

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Answer:

A

Step-by-step explanation:

tiook

MARKING BRAINLIESTTT WHOEVER IS THE FIRST TO ANSWER AND GE IT RIGHT

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Answer:

D is most possible or b either one

Step-by-step explanation:

BTW dont expect take my info to seriously but D or B

On a Monday, a meteorologist says that there is a 30% chance of rain. What is the probability that it will rain on Monday?

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Answer:

70%

Step-by-step explanation:

ehhh dont know, my teacher told me

Please tell me how to do it

Answers

Answer:

3 sqrt(13)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

6^2 + 9^2 = c^2

36+81 = c^2

117 = c^2

Take the square root of each side

sqrt(117) = sqrt(c^2)

sqrt( 9*13) = c

sqrt(9) sqrt(13) =c

3 sqrt(13) =c

please help what is n
ill give brainliest

Answers

Answer:

90

Step-by-step explanation:

I used a protractor and my head and this is what I got

Write an equation of the line that passes through (0,5) and (4,5).

plssss

Answers

I believe it would be y=0x + 5

What is a relation and what makes it different from a function

Answers

Step-by-step explanation

A relation is any set of ordered pairs. A function is a set of ordered pairs where there is only one value of y for every value of x.

hope this helps ;-)

Yes what the person above me said is correct






2) translation: 1 unit right and 2 units down

Answers

its pretty much as it says move each point 1 unit to the right and 2 down so
I :-4,-5
T : -4,-3
E : 0,-3

M/6 = -9

answer m=?

Answer the ? Mark pls

Answers

Answer:

[tex]\frac{m}{6}[/tex] = -9            6 × (-9) = -54

Step-by-step explanation:

A recent poll suggests that 47% of American citizens are going to vote for candidate B
for president with a tolerance of 4.5%. Set up and solve an absolute value inequality to
determine the range of possible percentages the candidate could earn. (also add
step by step explanation

Answers

Answer:

Steps: 1) Isolate the absolute value on the LEFT Side of the equation ... 12) A recent poll suggests that 47% of American citizens are going to vote for the ... margin of error of £4.5%. Set up and solve an absolute value inequality to determine the range of possible ... determine if the Democratic candidate will win the election?

Step-by-step explanation:

The percentages candidate could earn falls in the range of absolute value inequality |47 - x| ≤ 4.5.

What is Absolute Value Inequality?

Absolute value inequalities are kind of inequality expressions which includes the absolute value symbol in the expression.

For example : |x - 5| < 4 is an absolute value inequality.

Given that,

Percentage of American citizens going to vote for candidate B = 47%

Tolerance level = 4.5%

Suppose x be the percent of voters who will vote for candidate B.

Value of x can be,

47% + 4.5% = 51.5%

Or,

47% - 4.5% = 42.5%

The absolute value inequality for the situation is,

|47 - x| ≤ 4.5

Hence the absolute value inequality is |47 - x| ≤ 4.5.

To learn more Absolute Value Inequality, click on the link :

https://brainly.com/question/30201926

#SPJ2

Temperature freezes at 0°C. Which of the following temperatures is below freezing?

Answers

There are no options, but anything with a negative symbols like -1, -2, -3, -4, -5, -etc.

what is the answer to..
Negative 10 is no less than 2 times a number plus 14​

Answers

-10 ≥ 2x + 14
-24 ≥ 2x subtract 14 from both sides
2x ≤ -24 read right to left
x ≤ -12 divide both sides by 2

i hope this helped! <3

Select the correct answer.
Which function passes through the points (2, 15) and (3, 26)?
A.
y = 11x + 7
B.
y = 11x − 7
C.
y = 7x + 11
D.
y = -11x − 7
E.
y = 7x − 11

Answers

B. y = 11x - 7 passes through the points (2 , 15) and (3 , 26)

Answer:

B. y = 11x - 7 passes through the points (2 , 15) and (3 , 26)

Step-by-step explanation:

Why does the narrator state that taking the road less traveled has made all the difference?

Answers

Answer:

See below

Step-by-step explanation:

The phrase itself is a famous few lines extracted from "The Road Not Taken" by poet Robert Frost. The statement "taking the road less traveled" means that someone is acting independently, freeing themselves from the conformity of others (who choose to take 'the road more often traveled.'), generally making their own choices, and perhaps leaving a new trail that will become the road more often traveled

Find the distance between the points (-10, -4) and (-4,-4).
1049
8
6
4
2
-10
-8
-6
-4
-2
0
2
4
6
10
-2
(-4,-4)
-4
(-10-4

Answers

Answer:

im here for the points

Step-by-step explanation:

B. Identify the kind of algebraic expression and determine the degree, variables
and constant
Constant
Variables
Degree
Algebraic Expression
Type/kind
1. 7x + 4x3 - 17
2. 3abc2 + a2bc2-abc + 2
3. x + 2x2 - 6x3 + 9x4 +1
4. 3xyz2 + 12
5. 14
can u help me I'm from Philippines​

Answers

9514 1404 393

Answer:

  see the attachment

Step-by-step explanation:

There are no roots, fractional powers, or denominators containing variables, so each of these expressions is the sum of multiples of products of variables to integer powers. (One is a constant.) That makes each expression a polynomial. Some polynomials can be further classified by their degree.

The degree is the highest sum of powers of the variables in the terms. For example, the term a^2·b·c^2 has variables with powers 2, 1, and 2. The sum of those powers is 2+1+2 = 5, so this is a term of degree 5.

A constant is a term with no variables.

__

It is customary in algebra problems to use variables that are a single lower-case letter. Sometimes, a variable may be represented by a letter in uppercase, or in a special font or language (usually Greek). Sometimes, it may be a word or phrase. Here, we assume each variable is one letter, so xyz is the product of three variables.

Perhaps the table below answers the questions you are asking about these expressions.

( c²- k³)2 is equivalent to the polynomial c4- c²k³+ k6.

Answers

Answer:

Step-by-step explanation:

false

c^4+k^6-2c^2k^3 is the right answer

The temperature in some region of Alaska equals 14 °F Convert this temperature to Celsius

Answers

Answer:

-10 degrees C

Step-by-step explanation:

PlS HeLP!!!
what number makes this equation true?
_ ÷8=4

Answers

32 is the right answer

Answer:

32

Step-by-step explanation:

8 times 4 is 32

PLEASEEEEEEE HELPPPPP!!!!!!!!
a) which line has a slope of 1/2?

b) which line has a slope of -3?

Answers

A) line N
B) line k
There :)

Using the diagram below, find the length of BC.

Answers

the answer would be 46.3

In Tampa the number of new houses built each month during the first half of the year decreased at a constant rate. During the second half of the year the number of new houses remained the same.  Which graph best illustrates the numbers of houses built over the course of the year? 1l​

Answers

Answer:

D or C I believe

Step-by-step explanation:

it says it was going down and then it stayed the same, but what confuses me is that the bottom says "month" so I cant tell now if its an error or its telling us it is still going down during the month year (C) so yeah good luck :,)

What is the best description of AB?

Answers

9514 1404 393

Answer:

  F  altitude

Step-by-step explanation:

AB is perpendicular to triangle base XZ, so is an altitude of the triangle.

__

Additional comment

B is not the midpoint of XZ, so AB is not the median and not a bisector of XZ. Likewise, AB is not the angle bisector of angle A. (The triangle would have to be isosceles for AB to be a perpendicular bisector, median, and angle bisector.)

Eliminating the choices that can't work leaves the one that does work. AB is the altitude.

Answer:

Altitude

Step-by-step explanation:

HEELLPPP!!!!! fastttt plzzzzz!

The sales for products sold at an electronic store are below. What percent of the products sold were speakers?

Answers

Answer:

6.00%

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

3(x-2)+1=

I have to turn this in, in 10 minutes. Help.

Answers

Answer:

3x-6+1

Step-by-step explanation:

I know algebraaaaaa

X= 3/5, 3x-6+1, 3x-5, 3x=5, x=3/5


6. Two sides of a right triangle are 8" and 12".
A. Find the the area of the triangle if 8 and 12 are legs.

Answers

Answer:

a

Step-by-step explanation:

brainliest or whatnot just answer it

Answers

Answer:

the answer is y=2x-3

Step-by-step explanation:

4/2=2 slope

1-4= -3 y-intercept

hope this helps!

1. a rectangular room measures 10 feet by 12 feet. What is the area of the room?

2. What is the area of a rectangle with a base of 6 inches and height of 10 inches?

3. Travis is planting a rectangular garden that is 5 feet by 12 feet. One bag of soul covers 6 square feet. How many bags of soil does he need to cover the whole garden?

PLEASE HELP! PLEASE HELP!

Answers

Answers:

Area = 120 square feetArea = 60 square inchesHe needs 10 bags

==================================================

Explanation:

For problems 1 and 2, we just multiply the base and height. This is the same as multiplying the length and width.

So in problem 1 we have 10*12 = 120 square feet. In problem 2 we have 6*10 = 60 square inches.

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

Problem 3 follows the same idea, but we do a bit more work. The area of the garden is 5*12 = 60 square feet.

Let's say x is the number of bags needed.

1 bag covers 6 square feet

2 bags cover 12 square feet

and so on

x of those bags cover 6x square feet. The x is just a placeholder for a number. Specifically, a positive whole number.

The expression 6x represents how much area that can be covered by x bags. We want to cover 60 square feet.

The equation we need to solve is 6x = 60. Doing so leads to x = 10 after dividing both sides by 6.

So this means Travis needs 10 bags.

which of these is expression is equivalent to z+z+z+z ​

Answers

Answer:

4z

Step-by-step explanation:

Answer:

4z

Step-by-step explanation:

z + z + z + z

~Combine like terms

4z

Best of Luck!

Melanie bought 4 gallons of slime and plans to sell
them in small jars that each hold 1/4 of a gallon. How
many small jars will Melanie fill with slime?

Answers

Melanie has 16 small jar
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