A diagonal of a polyhedron is a line segment connecting two non-adjacent vertices. How many diagonals does a pentagonal prism have

Answers

Answer 1

A pentagonal prism have 35 diagonals.

We know tha in a polygon or polyhedron the formula for finding the number of diagonals is: n(n-3)/2,

where n= the number of sides

We find the number of diagonals of a pentagonal prism.

As we know a pentagonal prism has two pentagonal bases like top and bottom and five rectangular sides.

For a pentagonal prism n = 10

So, using above formula the total number of diagonals would be,

d = [10 × (10 - 3)] / 2

d = (10 × 7) / 2

d = 70/2

d = 35

Therefore, the total number of diagonals would be = 35

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Related Questions

For each situation, make a tree diagram to show the sample space. Then give the total number of outcomes.
tossing a coin and choosing a consonant from the word ALGEBRA
a. 2
c. 6
b. 4
d. 8
HELP PLEASE

Answers

C.6
Hope this help you

Answer:

I would go with D, 8.

Step-by-step explanation:

Tossing a coin, but not saying heads or tails is accepting both (2 outcome branches)

There are 4 consonants in ALGEBRA (each of the two branches above have 4 outcomes that match)

2 x 4 = 8

I don't like how the question is written, because the "total number of outcomes" usually includes the ones you don't want, which would be 14. But since that's not an option, I would chose D.

Need help ASAP!! Plz

Answers

Answer:

Rate of change = -5/6 & Initial value = 5

Step-by-step explanation:

Rate of change = rise/run = -5/6

Initial value = y -intercept = 6

What is the volume of the sphere rounded to the nearest whole number if the radius is 3.63 inches?

Answers

Answer: 200inches³

Step-by-step explanation:

The volume of a sphere can be gotten by using the formula:

V = 4/3 πr³

where,

π = 3.142

r = radius = 3.63 inches

Volume = 4/3πr³

= 4/3 × 3.142 × 3.63³

= 4/3 × 3.142 × 47.832147

= 200.38481

= 200inches³

Pleaseeee help asapppppp

Answers

Simplifying

0.75x + 1.2 = 0

Reorder the terms:

1.2 + 0.75x = 0

Solving

1.2 + 0.75x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1.2' to each side of the equation.

1.2 + -1.2 + 0.75x = 0 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0

0.0 + 0.75x = 0 + -1.2

0.75x = 0 + -1.2

Combine like terms: 0 + -1.2 = -1.2

0.75x = -1.2

Divide each side by '0.75'.

x = -1.6


Someone please help

Answers

Answer:

50 pages per hour

Step-by-step explanation:

Find the perimeter of a circle with radius 35 cm
[tex](take \pi = 22 7 \div 7[/tex]

Answers

Answer:

[tex]here \: is \: your \: solution... \\ \\ radius \: of \: circle = 35 \: cm \\ \\ perimeter \:of \: circle = \pi \: r {}^{2} \\ \\ perimeter \: of \: circle = (22 \div 7)35 \times 35 \\ \\ perimeter \: of \: circle = 3846.5 \: cm \\ \\ \huge\mathfrak\purple{hope \: it \: helps...}[/tex]

Answer:

Index or vertex are 77 so context and factors are already divided each 5..so i think radio and centimeter are 45/95 take ADF from fraction and multiplyit!! as a exactly answer!! and perimeter are revolved!!

Step-by-step explanation:

HOPE IT HELPS!!

How do you write coordinates for translation?

Answers

Coordinates (x ,y ) of the given geometrical figure after translation is written as ( x + h , y + k ) where h ∈ R  and k ∈ R.

As given in the question,

Let us consider the coordinates of any geometrical figure is represented by ( x, y ) in the coordinate plane.

Translation is the representation of transformation the change in the location of the given geometrical figure without change in the shape and size.

It can be translated in four ways :

Translation to the right is written as ( x + h , y )

Translation to the left is ( x - h, y)

Translation in the up is ( x, y + k )

Translation in the down is ( x , y - k ).

Therefore, the original coordinate ( x ,y )  after translation written as

( x + h , y + k ) where h ∈ R  and k ∈ R.

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Jeremy feeds his cats the same amount every day after 4 days he has feed his cat 12 cups of food how many cups would he feed his cats in 9 days

Answers

Answer:

27

Step-by-step explanation:

12/4 = 3

3 x 9 = 27

Which function best represents the sequence 10, 13, 16, 19, 22..., where n is a positive whole number?
a(n) = 7+3n
Ob(n) = 10 + 3n
Oc(n) = 7+3
Od(n) = 10 +3"

Answers

Answer:

first function

Step-by-step explanation:

there is a common difference between consecutive terms , that is

13 - 10 = 16 - 13 = 19 - 16 = 22 - 19 = 3

this indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 10 and d = 3 , then

[tex]a_{n}[/tex] = 10 + 3(n - 1) = 10 + 3n - 3 = 7 + 3n

I have attached the questions above pls help me ASAP
I will give the person with correct answers brainliest as reward

Answers

Answer:

a) C = 31.42

b) A = 78.55

Step-by-step explanation:

C = (2)(pi)(r), pi = 3.142 and r = 5

C = (2)(3.142)(5)

C = 31.42

A = (pi)(r)^2, pi = 3.142 and r = 5

A = (3.142)(5)(5)

A = 78.55

find the slope of the line that passes through the points (4,-3) and (7,12)

Answers

Answer:

8/10

Step-by-step explanation:

12 - 4       8

-------- =  -----

7 - (-3)     10

Answer:

5

Step-by-step explanation:

y2 - y1 / x2 - x1

12 - (-3) / 7 -4

15 / 3

5

A triangle has vertices at (1, 3), (2, -3), and ( -1, -1). What is the approximate perimeter of the triangle?
Answer choices
15

10

14

16

Answers

Answer:14

Step-by-step explanation:You can use distance formula to find the length of each side, and then add them together to approximate the perimeter.

Consider your construction of pentagon ABCED.
What segments, if any, are parallel? Explain how you made your
determination.

Answers

Therefore , the solution of the given problem of pentagonal comes out to be Nadia has created a pentagonal prism as a result.

Define pentagonal.

Pentagons are two-dimensional polygons having five sides and fifth angles. When we mix the Greek terms "penta" and "gon," which mean "five" and "angles," respectively, we have the word "pentagon."

Here,

we know that a pentagonal prism has five rectangular sides in addition to two pentagonal bases at the top and bottom.

Pentagonal prisms are pentagon-shaped if we look at them from the bottom.

When viewed from the side, a pentagonal prism would have a rectangular shape.

If we were to look at the pentagonal prism from the front, it would appear rectangular.

Therefore , the solution of the given problem of pentagonal comes out to be Nadia has created a pentagonal prism as a result.

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Sasha performs an experiment. She chooses one marble from each of three sacks. The first sack has black (B) and white (W) marbles. The
second sack has green (G) and yellow () marbles. The third sack has silver (S) and red (R) marbles.
Which tree diagram shows all the possible outcomes for this experiment?
Ос.
OB
OD

Answers

Answer:

Option D is correct

Step-by-step explanation:

From the question, we have:

[tex]Sack\ 1: B, W[/tex]

[tex]Sack\ 2: G, Y[/tex]

[tex]Sack\ 3: S, R[/tex]

Required

The tree diagram

The selection process is as follows:

[tex]Sack\ 1: B, W[/tex]

[tex]Sack\ 1\ and\ Sack\ 2: B (G,Y); W(G,Y)[/tex] -- i.e. we write sack 2 as a subset of 1

[tex]Sack\ 1, 2\ and\ 3: B (G(S,R),Y(S,R)); W(G(S,R),Y(S,R))[/tex] -- i.e. we write sack 3 as a subset of 2

The only tree diagram that illustrates this is: option D

An item on ale cot 20% of the original price if the original price wa $95 what i the ale price

Answers

By using formula and solving we get the item is on sale for $76.

What is selling price?

The selling price is the amount of money that a seller asks for in exchange for a product or service. It is also known as the "list price" or "retail price" and it is the price at which an item is intended to be sold. Selling price is usually set by the manufacturer or the retailer, taking into account the cost of production, distribution, and marketing, as well as competition and market demand. The selling price is usually higher than the cost of production, which includes the cost of the materials, labor, and overhead expenses.

What is the formula to calculate selling price?

The formula to calculate the selling price of a product or service depends on the information available and the desired level of accuracy. However, there are a few common formulas used to calculate the selling price based on different factors.

Cost-plus pricing formula: This formula calculates the selling price by adding a markup percentage to the cost of the product or service.

The formula is: Selling price = Cost + (Cost x Markup percentage)

If the original price of an item was $95 and it is now on sale for 20% off, we can calculate the sale price using the following formula:

Sale price = Original price x (1 - Discount percentage)

In this case, the discount percentage is 20%, so we can express it as 0.2. Therefore, the formula becomes:

Sale price = $95 x (1 - 0.2)

To calculate the sale price, we need to multiply the original price by (1 - 0.2) which is (1-0.2) = 0.8

Sale price = $95 x 0.8

Sale price = $76

So, the item is on sale for $76.

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If tan 0= -21/20 what is cos 0 in quadrant 2

Answers

i’m not sure -21/100 definitely look it up on Socratic

Name three pairs of parallel segments below.​

Answers

Answer:

hypotenuse,adjacent and opposite

Answer is adjacent, hypotenuse, & opposite

3. Wite the 4th number in the pattern Rule: Add 11 starting at 34​

Answers

These link people are annoying

In the past year omar watched 39 movies that he thought were very good he watched 60 movies over the whole year of the movies he watched what percentage did he rate as very good

Answers

Answer:

65%

Step-by-step explanation:

39/60 X 100

(39 being the number of movies he rated very good, divided by the total number of movies he watched which is 60)

can y’all help me solve for n?

Answers

Answer:

Sure mate, n is equal to 27

Step-by-step explanation:

side ab is similar side pq. This is given.

12/4=3 therefore your  scale factor from small to large is 3

side cb is similar to rq. This is given.

the length of cb is equal to 9 multiplying this by 3 will give you the length of line segment rq. and therefore the value of N.

9*3=27

9x3=27 there you go :)

What is the GCF of 20x^76 and 8x^92

Answers

The GCF of the given expressions is 4x⁷⁶

What is the greatest common factor?

The greatest common factor, abbreviated as GCF, of two numbers is the largest number that is a factor of, or divides evenly into, both of the numbers. When two numbers are relatively small, we have a quick and simple way to calculate their greatest common factor. We do this by listing all of the factors of each number, and then identifying the largest number that is in both lists.

Given here, The expressions 20x⁷⁶ and 8x⁹² and GCF(20,8)=4

and x⁷⁶ is a factor of  8x⁹²

∴ GCF(20x⁷⁶ , 8x⁹²) =4x⁷⁶

Hence, The GCF of the given expressions is 4x⁷⁶

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Estimate 38 x 9= ___

Answers

Answer:

400

Step-by-step explanation:

The most accurate estimate among the given options is d) 400.

Given that we need to estimate the product of 38 x 9,

To find the product of 38 and 9, you can simply multiply the two numbers together:

38 x 9 = 342

Therefore, the actual product of 38 and 9 is 342.

Now, let's estimate the product using the given options:

a) 30: This is too low of an estimate. 38 is larger than 30, so the product should be greater than 30.

b) 50: This is also too low of an estimate. 38 multiplied by 9 is significantly larger than 50.

c) 120: This estimate is closer to the actual product, but still not accurate. 120 is smaller than the actual product of 342.

d) 400: This is a close estimate. 38 multiplied by 9 is close to 400.

In summary, the most accurate estimate among the given options is d) 400.

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Which of the following statements are true??

Answers

Answer:

A, D

Step-by-step explanation:

A,D is the answers ok

what is 30 + 30?

get your points in yup yup!

Answers

60 thanks have a good day
Answer:

30+30=60

Heheeheheh

Use the distributed property to simplify the expression 6(x+4)+1

Answers

Answer:

6x + 25

Step-by-step explanation:

6(x + 4) + 1

6x + 24 + 1

6x + 25

Answer:

6x + 25

Step-by-step explanation:

Multiply each x and 4 (inside parentheses) by 6, and then add 1 to the resulting sum:

6x + 24 + 1

Combining like terms, we get:

6x + 25

Find the Dy/Dx of y=7/x using first principle

Answers

By using first principle, the value of Dy/Dx is,

⇒ Dy/Dx = - 7 / x²

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ y = 7 / x

Now, Differentiate the function with respect to x, we get;

⇒ y = 7 / x

⇒ Dy/ Dx = D / Dx (7 / x)

                = 7 D/Dx (1/x)

                = 7 (- 1 × x⁻¹⁻¹ )

                = 7 (- x⁻²)

                = - 7 / x²

⇒ Dy/Dx = - 7 / x²

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Becky says that line c and d are parallel
what must true for Becky to be correct​

Answers

Answer:

c) m <2 =m <3

Step-by-step explanation:

since the angles 2 and 3 are equal then they should be alternate angles

then c and d are parallel lines

19. The Beaufort Scale measures the intensity of tornadoes. For a tornado

3

with Beaufort number B, the formula v = 1. 9B2 may be used to

estimate the tornado's wind speed in miles per hour. Estimate the wind

speed of a tornado with Beaufort number 9.

Answers

The the wind speed of a tornado with Beaufort number 9 is 51.3 miles per hour.

What is speed?

Speed is calculated as follows: speed = distance * time. Knowing the units for distance and time is necessary to calculate the units for speed. The units will be in meters per second (m/s) in this example because the distance is measured in meters (m) and the time is measured in seconds (s).

Given:

The Beaufort Scale measures the intensity of tornadoes. For a tornado

with Beaufort number B, the formula [tex]v = 1.9B^\frac{3}{2}[/tex] may be used to

estimate the tornado's wind speed in miles per hour.

We have to estimate the wind speed of a tornado with Beaufort number 9.

Plug B = 9 in the formula [tex]v = 1.9B^\frac{3}{2}[/tex]

[tex]v = 1.9(9)^\frac{3}{2} \\v = 1.9(27)\\v = 51.3[/tex]

Hence, the the wind speed of a tornado with Beaufort number 9 is

51.3 miles per hour.

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is equal to 1,024. Evaluate the following expressions.
a. 46
b. 44
43.42

Answers

Answer:

What is equal to 1,024

Step-by-step explanation:

What are the different types of time complexity analysis available?

Answers

There are five different types of Time complexity analysis:

Constant Time ComplexityLogarithmic Time Complexity Linear Time Complexity O(n log n) Time ComplexityQuadratic Time Complexity

What is Time complexity?

The computational complexity that describes the amount of computer time required to run an algorithm is known as time complexity in computer science. The time complexity of an algorithm is commonly estimated by counting the number of elementary operations performed by the algorithm, assuming that each elementary operation takes a fixed amount of time to perform.

As a result, the time required and the number of elementary operations performed by the algorithm are assumed to be proportional. Because the running time of an algorithm varies among different inputs of the same size, the worst-case time complexity, which is the maximum amount of time required for inputs of a given size, is commonly considered.

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