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

Divide. Express each answer as a decimal. 5÷4 4÷5 30÷12 12÷30

Answers

Answer:

5÷4 = 1.25

4÷5 = 0.8

30÷12 = 2.5

12÷30= 0.4

Answer:

5÷4 = 1.25

4÷5 = 0.8

30÷12 = 2.5

12÷30= 0.4

Step-by-step explanation:

What’s the commutative property of addition ?

Answers

Answer:

Its when you just swthc your thingy

Step-by-step explanation:

2+4=6

turns into

4+2=6

Answer:

When it is opposite

Step-by-step explanation:

What is the area of the football field in the scale drawing? Assume that the field is shaped like a rectangle.

Answers

Answer:

i mean might as well get free points now that its 2 weeks old

Step-by-step explanation:

Answer:

Pythagorean Theorem: the diagonal of the football field is the hypotenuse. Let´s say the diagonal is C and the two other sides are A and B.

Width = A

Length = B

Diagonal = C

so: a2+b2=c

2502+1002=c2

2500+10000=c2

12500=c2

c=√12500

c=111.80 yards

Step-by-step explanation:

the ambitous jackle

what’s the answer and how did you get it? i’m confused

Answers

Answer:

The answer is 3.

Step-by-step explanation:

Because you should put the gh with gh, 2  is equivalent to 2 (so the 2 disappeared) and you only have 8-7=1 plus 2=3.

Answer: The given expression is 8g^2h-7gh+2

The degree of 8 g^2 h is 2, 1

The degree of - 7 g h is 1

The degree of 2 is 0

But the degree of expression will the highest degree of the indivisual expression of above i.e 3.

The answer is 3.

Can I get some help plz thank u sm

Answers

Answer:

x = 72

hope it helps

A store is having a sale on office
products. Leo buys 4 notebooks that
have a regular price of $3.30 each. They
are on sale for 20% off the regular
price. How much does Leo pay for the
4 notebooks before sales tax?
A $0.66
B $2.64
C$10.56
D $13.20

Answers

Answer:

c. $10.56

Step-by-step explanation:

$3.30 x 4 = $13.20 x 0.20 (20%) = $2.64

$13.20 - $2.64 = $10.56

A puppy weighs 2 7/8 pounds. Carla feeds the puppy 3 ounces of food for each pound that the puppy weighs. How many ounces of food does Carla feed the puppy?

Answers

Answer:

8 5/8 ounces

Step-by-step explanation:

Given that:

Weight of puppy = 2 7/8 pounds

Puppy is being fed 3 ounces of food for each pound it weighs

Ounces of food being fed :

1 pound = 3 ounces

2 7/8 pounds =?

2 7/8 * 3

23/ 8 * 3

= 69/ 8

= 8 5/8 ounces

Maria has purchased a basic stained glass kit for $100. She plans to make stained glass suncatchers and
sell them. She estimates that the materials for making each suncatcher will cost $13. Model this situation
with a rational function that gives the average cost of a stained glass suncatcher when the cost of the kit
is included in the calculation. Use the graph of the function to determine the minimum number of
suncatchers that brings the average cost below $22.50.
The minimum number of suncatchers that brings the average cost below
$22.50 is

Answers

Answer:

Step-by-step explanation:

fixed cost = 100

variable cost = 13

soooo....

cost =  (13x + 100)/x

the questions wants to know  when cost  < 22.50

22.5 > (13x+100)/x

look at graph attached ;)

it looks to me like it's at 11

22.5 > (13(11) + 100) / 11

22.5 > 22.09

try 10

22.5 > (13(10) +100)/10

22.5  > 23   not true  so yes.. 11 is when the cost goes below 22.50

Answer:

Y’all the correct answer is 10

Find the volume of this shape 11 cm 16 cm

Answers

The answer is 176 you multiply

A cashier works 40 hours each week, earns $7.50 per hour, and works 50 weeks each year

Answers

Answer:

the cashier would have 15000 dollars at the end of the year.

Step-by-step explanation:

is that what you were asking?

What’s the answer? QUICK

Answers

Answer:

Step-by-step explanation:

4 and 1/6

if cube has total surface area 150cm sweet, find the volume of the cube

Answers

Answer:

i       edgggg   g t   g        h tr  fe erfg bh  hnhy r hrh r    r t hth

Step-by-step explanation:

125 cm ans

may be it is helpful

math problem plz help me ​

Answers

Answer:

Option C.

Ground level = 0 foot

Hole = -3 feet

Dirt pile = 3 feet

What is a SKEW in Geometry?

Answers

Two or more lines which have no intersections but are not parallel

The population of a city is 51,000 and is decreasing at a rate of 1.75% per year. Use an exponential function to find the expected population in 5 years. Round to the nearest whole number.

Answers

Answer:

46,691

Step-by-step explanation:

Given that:

Initial population, P = 51000

Decreasing rate = 1.75% = 0.0175

Time, t = 5 years

Using the relation :

A (t) = Po * ( 1 - r)^t

A(t) population after t years

Po = Initial population figure

r = rate of decrease

A(t) = 51000 * (1 - 0.0175)^5

A(t) = 51000 * (0.9825)^5

A(t) = 51000 * 0.91550937355400390625

A(t) = 46690.9780

Hence, population after 5 years will be : 46,691

Put the following numbers in order from least to greatest. 9.201, 9.210, 9.012, 9.0

Answers

Answer:

9.0, 9.012, 9.201, 9.210

Step-by-step explanation:

9.0 has no decimal numbers, so it goes at the beginning, 9.012 is the next greatest, then 9.201, and finally, 9.21. Also, a zero at the end of a decimal number adds nothing.

9.0 , 9.012 , 9.201 , and greatest is 9.210 hope this helps

please help me with this

answer choice
This system has infinitely many solutions.
This system has exactly one solution.
This system has no solution.
(5, –28) and (0, 0)

Answers

Answer:

the answer is the first one hope this helps

Step-by-step explanation:

Can you tell me the definition of the highlighted word please in your own words (Thank you)

Answers

Answer:

congruent means similar

Step-by-step explanation:

why didnt you just search it up? lol

congruent means that they are perfectly identical.

The cost of a t-shirt was $30. Now the t-shirt costs $37.50. What is the percent of change? Do the work on your own paper and write your answer as a number.

Answers

Answer:

25%

Step-by-step explanation:

Given that,

Initial cost of a t-shirt = $30

Final cost of a t-shirt = $37.50

We need to find percent of change. The percentage change in any value is given by :

[tex]\%=\dfrac{\text{final value-initial value}}{\text{initial value}}\times 100\\\\=\dfrac{37.5-30}{30}\times 100\\\\=25\%[/tex]

Hence, the percentage error is 25%.

There are 20 consecutive even numbers. How much bigger is the sum of the larger 10 ones than the sum of the smaller ones?

Answers

You can look on the app Socratic to help you.

Answer:

The answer is 200

Step-by-step explanation:

Key: 1 lbs=.454 kg how many pounds are in 45 kilograms? Help!!! its past due

Answers

Answer:

99.12 lbs are in 45 kilograms.

Step-by-step explanation:

❃We can solve using proportion.

[tex] \frac{1 \: lbs}{.454 \: kg} = \frac{x}{ 45 \: kg} \\ \\ \frac{.454x}{.454} = \frac{45}{.454} \\ \\ x = 99.12[/tex]

➼ I rounded to the nearest hundredth

A line passes through (−2, 5) and has slope 1/3 . What is an equation of the line in point-slope form?

Answers

Answer:

point-slope form is : y - y1 = m(x -x1) where m is the slope and y1 and x1 is the point. plug in the given values. since the question wants it in point-slope, you leave it as is.

y - 5 = 1/3 (x - (-2))

Step-by-step explanation:

50 points!! Look at both pics attached! I need this done ASAP! Put random answers and I will report you

Answers

Answer:

For the first: [tex]x=-23[/tex] and [tex]x=17[/tex]

For the second: [tex]x=5[/tex]

Step-by-step explanation:

Answer:

x=17 for the first and x=5 for the second.

Step-by-step explanation:

First picture

Opposite angles of two intersecting lines are equal.

So the angle opposite the 100 degree angle on line c is also 100.

Since a, b, and c are all parallel, the angles made by the intersecting line r, are also all equal (these are corresponding angles).

So 5x + 15 = 100

5x = 85

x = 17

Second picture

Adjacent angles add up to 180 degrees.  So the angle opposite 52 is 180-52=128.

[tex]2^{2x-3}=128\\\\2x-3 = 7\\2x = 10\\x=5[/tex]

Can someone please help me

Answers

Answer:

y=89

Step-by-step explanation:

because if you take y-47 okay then you do 47+42 giving you what that ange is because they are the same angle they should both be 42

pt 2 pls help me with math

Answers

Answer:

Step-by-step explanation:

Slope = (6-3)/(2-1) =3

Three different bags of pretzels are sold at the store. Which bag of pretzels is the best buy?
Bag A:10 ounces for $1.10
Bag B:12 ounces for $1.38
Bag C: 6 ounces for $0.84
A. Bag A
B. Bag B
C. Bag C
D. Bag A and Bag B are equally good values

Answers

Answer:

A: 11 cents per ounce

B: 11.5 cents per ounce

C: 14 cents per ounce

Bag A would be the best buy

HELP !!!!!!! MAHH HELP PLEASE !!!!

Answers

A. ( 5 , 3 )
B. ( 3 , -1 )
C. ( 1 , 2 )
D. ( 6 , 3 )
E. ( 9 , 2 )
F. ( 2 , -5 )
G. ( 2 , -3 )
H. (-16/11 , 28/11 )


Please mark BRAINLEST

Ryan was paid $75 for
working 6­ 1/4 hours.

How much money
did he make per hour?

A. $12.50

B. $12

C. $15

Answers

Answer:

the answer is b

Step-by-step explanation:

12:

Step-by-step explanation:

BRAINLIEST

Like terms of 6ab^2

1. -3ab

2. 2ab^2

3.-6a^2 b^2

4.-5ab^2

5.6ab

Answers

Answer:

2nd option is the right answer

x x=ly y=2x-2
you need use solving systems substitute​

Answers

Answer:

3

Step-by-step explanation:

If you substitute the values x = 0 and y = −5 into the second equation, you get a false statement: 2(−5) − 10 = 2(0). To solve this system, try rewriting the first equation as x = 2y − 8. Then substitute 2y − 8 in for x in the second equation, and solve for y. The correct answer is x = −2, y = 3.

Not what I really think it might be, but I hope it helped you!

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