Every dimension of a triangular pyramid is multiplied by 10 to produce a new figure that is geometrically similar. What effect does this have on
the surface area of the pyramid?
A The surface area of the pyramid is multiplied by 10.
B. The surface area of the pyramid is multiplied by 50.
OC. The surface area of the pyramid is multiplied by 100.
D. The surface area of the pyramid is multiplied by 1,000.
E. The effect on the surface area cannot be determined.

Answers

Answer 1

Answer:

The correct option is;

C. The surface area of the pyramid is multiplied by 100

Step-by-step explanation:

The equation for the surface area of a triangular prism is as follows;

A = b×h + 2×l×s + l×b

Where:

b = Base width

h = Height of triangular sides

s = Slant height of pyramid

l = Base Length

Hence where every dimension of the triangular pyramid is multiplied by 10, we have

The surface area of original prism = A₁ = b×h + 2×l×s + l×b

The surface area of the new prism = A₂ = 10·b×10·h + 2×10·l×10·s + 10·l×10·b

A₂ = 100·b×h + 100·2×l×s + 100·l×b = 100×(b×h + 2×l×s + l×b)

Therefore, the surface area of the new pyramid is multiplied by 100.

Answer 2

Answer:

A The surface area of the pyramid is multiplied by 10.

Step-by-step explanation:

A triangular prism is a 3 dimensional shape. A triangular prism has 5 faces: 3 triangles and 3 rectangles.

The total surface area of the triangular prism is calculated as:

(Area of the triangle ÷ 2) + ( Area of the first rectangle) + ( Area of the second rectangle) + ( Area of the second rectangle)

If , every dimension of a triangular pyramid is multiplied by 10 to produce a new figure that is geometrically similar, hence, the surface area of the pyramid is multiplied by 10.


Related Questions

Jody flips a fair coin three times and each time it lands on heads. Jody believes he can calculate the probability of this occurring by adding the probability of getting a head on each individual flip. Explain why this is incorrect.

Answers

Answer:

When you have multiple events (here each flip of the coin is a individual event) the probability of all the events (or the joint probability) is equal to the product of the probabilities of each event.

For example, with a fair coin the probability of getting heads is 0.50

If you get heads 3 times, and you add the probabilities you get:

0-50*3 = 1.50

this has no sense, because the probability must be a number between 0 and 1.

The actual probability is:

P = 0.50*050*0.50 = 0.125

US music is popular in Europe, and Japanese music is popular among many people in the US. This kind of artistic and
entertainment connection is an example of a(n)
connection
A.
cultural
Beconomic
Cindustrial
D. political

Answers

Answer:

The correct answer is - A. cultural.

Step-by-step explanation:

The exchange of music, thus creating an artistic and entertainment connection between the people of different countries, regions, or continents is a nice example of cultural connection.

The music is part of the culture of the people, and all the people from every part of the world have their own specific type of music that complements their culture.

With the globalization process, people have been able to see and hear things from all around the world, thus managing to hear the music of all pats of the world. The Japanese and Korean music have experienced a real ''boom'' in popularity in the western world, as lot of people find it interesting, and the American music also reached new countries where it became the most popular, like in Europe for example.

MARK ME BRAINLIEST PLEASE!!! :) HOPE IT HELPS

Answer:

A

Step-by-step explanation for why it's A:

The earth has become increasingly interconnected over recent times which has resulted in increased connection as well as cultural exchange amongst individuals.

This has allowed people to have access to new cultures,beliefs and ideas that were otherwise unavailable in their place of inhabitance.

Hence, Japanese music has become a lot more prevalent in the western world than it was say 60 years ago in a similar way American music has become more prevalent in Europe.

Software such as the internet have rapidly sped up globalisation and have resulted in remote accesibility to platforms such as social media that have made this cultural exchange boom in recent times possible.

Why it isn't the other options:

It could not be (b) as no forms of trading of commodities or other financial instruments are exchanged during the sharing of musical culture.

It could not be (c) as the spread of foreign culture within an area does not affect the manufacturing of goods and how they are sold between the involved countries.

It could not be (d) as certain procedures relating to the governance of a country( for instance in America)as well as political ideologies did not flourish( in a country say Japan) due to foreign musical acquisition.

Hope this helps!

50 POINTS! Carol is designing an artistic picture frame, which she wants to sell online. The picture frame will be square, but will come in several different sizes. She plans to place decorative stones around the outside of the picture frame. Carol’s first step was creating this prototype frame. (The first picture attached) You will be helping Carol form expressions that will tell her the number of stones she’ll need to order for each frame.

Part A:
How many stones make up the perimeter of the prototype picture frame? Perimeter is usually calculated by adding the length of each side of a shape. In the prototype, there are four stones per side. If we try to find the total number of stones in the frame by adding the number of stones per side, we’ll get an incorrect total. Why?

Part B:
Suppose that s equals the number of stones on one side of the picture frame. Write an expression that would give the number of stones in the top and bottom sides together.

Part C:
Write an expression in terms of s that represents the remaining stones. (The second attached picture) Write an expression in terms of s that represents the remaining stones.

Part D:
Now combine the two expressions you wrote in parts b and c by adding them together. What does the expression formed by this operation represent?










Answers

Answer: 12 stones

Step-by-step explanation:

The side of the length will be x = √m square inches.

What is the area of square and a rectangle?

The area of the square and rectangle is -

Square = [x]²           {x is the side of a square]

Rectangle = L x B    {L is the length and B is breadth}

here, we have,

Given is Lisa who is decorating outside edge of a square picture frame. She needs to know the side length of the frame. The area of the frame is [m] square inches.

It is given that the the area of the square is [m] square inches.

Assume that the length of the side is [x] inches.

x² = m

x = ±√m

Side cannot be negative.

Therefore, the side of the length will be -  x = √m

Therefore, the side of the length will be x = √m square inches.

To solve more questions on area and perimeter, visit the link below-

brainly.com/question/15393483

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Help please! :/ I really need it!!

Answers

Answer:

the 2nd one

Step-by-step explanation:

18 = 3b

solve for 3b (30 points)

Answers

Answer:

b = 6

Step-by-step explanation:

18 = 3b

3b = 18

b = 18/3

b = 6

Answer:

6

Step-by-step explanation:

divide 18 by 3 you will get the answer 6

340 students went to the first school dance, the last school dance 306 students attended. What is the percent of change between the two dances?
(Please help

Answers

Answer:

10.59%

Step-by-step explanation:

percentage of change is given by

{(old number - new number)/old number} * 100

_________________________

given

no. of student  went to the first school dance = 340

no. of student  went to the last school dance = 306

Percentage of change between two dance

= ((no. of student  went to the first school dance - no. of student  went to the last school dance)/ no. of student  went to the fist school dance)*100

= (340 - 306)/340 *100

= (36/340 )*100 = 10.59%

The percent of change between the two dances 10.59%.

What does (x2−50x−600)÷(x−60) equal?

Answers

Answer:

x+10      x ≠ 60

Step-by-step explanation:

(x^2−50x−600)

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

   (x−60)

Factor the numerator

(x-60)(x+10)

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

(x-60)

Cancel the like terms

x+10

Please help!
You pick a card at random. Without putting the first card back, you pick a second card at random.

What is the probability of picking a 3 and then picking a 3?

Simplify your answer and write it as a fraction or whole number.

Answers

Answer:

The answer could be 0 or 1 out of 4, because choosing a card at first and not putting it back, then picking a second card at random, it would likely be one in zero attempts to pick 3 again but otherwise that it could be 1 out of 4 because it could be possible picking 3 at the first try.

PLEASE HELP which equation in the word bank can solve for x ?

Answers

Answer:

x + 10 = 24

Step-by-step explanation:

In the figure attached,

There are two external points A and B.

Fro point A two tangents AD and AE have been drawn and From point B tangents BE and BC have been drawn.

Since AD = 10 units,

Therefore, AE = 10 units

(Since tangents drawn from a point to a circle are same in measure, therefore, AD = AE)

Therefore,

BE = AB - AE

Since BE = BC

So BC = AB - AE

       x = 24 - 10

x + 10 = 24

Therefore, (x + 10) = 24 will be the equation to be used to solve for x.

Bonnie had 5 cats that each weighed 6 2/5 pounds. How much do the cats weigh?

Answers

6 2/5 = 32/5 * 5 = 32 pounds

32 pounds because 6.4x 5=32.

pls help w work!!!!!!!

Answers

Answer:

A: 55.5

Hoped this helped you! Please mark me brainiest if I am correct!

if i have 4 times the money of my brother. our totl is d dollars. how much money do each of us have?

Answers

Answers 5x=d that’s the answer nothing else

Can someone pls help me

Answers

Answer:

No.

Step-by-step explanation:

For figures to be similar, they must have proportional sides.

In other words, we can take a number and use it to scale all the sides.

The small rectangle has a 5 on the bottom side, while the big rectangle has a 15 on the bottom side. The scale factor is 3.

The small rectangle has a 3 on the right side, while the big rectangle has a 6 on the right side. The scale factor is 2.

As the scale factors are not equivalent, the figures are not similar.

No they not anwers is no

An ice cream parlor donated 6 containers of ice cream to a local elementary school. Each container holds 3 gallons of ice cream. If each student is served 1 cup of ice cream, how many students can be served?

Answers

Answer:

288 students can be served

Step-by-step explanation:

Looking at the donation made by the ice cream parlor, we want to know the number of students to be served.

We need to achieve a consistency in units first. What I mean by this is that all our units must be the same.

The parlor donated 6 containers with each container holding 3 gallons. The amount donated is thus 3 * 6 = 18 gallons of ice cream

Mathematically, there are 16 cups in a gallon. Thus, the amount of cups donated by the parlor would be 16 * 18 = 288 cups

Now since 1 student takes 1 cup of ice cream, the number of students that the donation can serve is 288/1 = 288 students

Write 7/18 as a decimal number. Round to two decimal places.

Answers

0.38 is 7/18 (filling space)

Answer:

0.388888889

Step-by-step explanation:

Determine the probability of each event flipping a coin and getting heads


ANSWER ASAP

Answers

Answer:

A coin has 1 head and 1 tail.

=> Probability of flipping a coin and getting head: 1/2

Hope this helps!

:)

The point-slope form a line is y-y1 = m(x-x1), where m is the slope and (x1,y1) is a point on the line. true or false ?

Answers

The statement is true because

The point-slope form of the equation of a straight line is given as

y - y₁ = m(x -x₁)

m represents slope

and (x₁, y₁) is a point on the line

Point-slope form of a line

From the question, we are to determine if the statement is true

The point-slope form of the equation of a straight line is given as

y - y₁ = m(x -x₁)

Where m is the gradient (slope) of the line

and

(x₁, y₁) is a point on the line

Hence, the statement is true

Learn more on Point-slope form of a line here: https://brainly.com/question/11624671

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A drama club is planning a bus trip to New York City to see a Broadway play the cost per person for the bus rental varies

Answers

It will cost 30$ per person if 44 people go on the trip.
It will also cost $22 per person if 66 go.

A building casts a shadow 20 meters long if the angle from the tip of the shadow to the highest point of the building is 69 degrees what is the height of the building?

Answers

Answer:

52.1m

Step-by-step explanation:

Please see attachment for explanatory diagram.

From the diagram:

Opposite = H

Adjacent = 20m

Angle θ = 69°

The height, H of the building can be obtained as follow:

Tan θ = Opp /Adj

Tan 69 = H/20

Cross multiply

H = 20 x Tan 69

H = 52.1m

Therefore, the height of the building is 52.1m

2(2x - 1) = 10 i neeed help plz

Answers

Step-by-step explanation:

Here is the solution,mate. ☺️

Answer:

[tex]x = 3[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

whats 2+2 please fneviuqba

Answers

Answer:

4

Step-by-step explanation:

two plus two equals four

Answer:

4

Step-by-step explanation:

1+1+1+1=4

2+2=4

2*2=4

In a class 27 of students, 12 have a cat and 11 have a dog. There are 5 students who have a cat and a dog. What is the probability that a student has a dog given that they have a cat?

Answers

Answer:

41.67% probability that a student has a dog given that they have a cat

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: having a cat.

Event B: having a dog.

12 of 27 students have a cat:

This means that [tex]P(A) = \frac{12}{27}[/tex]

5 students who have a cat and a dog.

This means that [tex]P(A \cap B) = \frac{5}{27}[/tex]

What is the probability that a student has a dog given that they have a cat?

[tex]P(B|A) = \frac{\frac{5}{27}}{\frac{12}{27}} = \frac{5}{12} = 0.4167[/tex]

41.67% probability that a student has a dog given that they have a cat

A packing box has the dimensions 3 by 2 by 51

2

feet. What is the volume of the box?

Answers

Answer:

3072feet

Step-by-step explanation:

take 3miltiply with 2 multiply with 512 feet then the answer is 3072 feet

Answer:

The area of the base of the box, B, is  

✔ 6

ft.2.

The volume of the box is  

✔ 33

ft.3.

Step-by-step explanation:

I got it right on Edge

True / False
The square of 2.8 is 78.4
(step by step explanation)
answer fastly​

Answers

The answer is false.

The square of 2.8 is actually 7.83999 or 7.84 if rounded.

To get this, we simply bring 2.8 to the power of 2.

2.8 x 2.8 = 7.8399

Therefore, the answer would be false since the actual square of 2.8 is 7.84

Find the area of the trapezoid.
12
8
6

Answers

Answer:

The area of the trapezoid:

A = (base1 + base2) x height/2

  = (6 + 12) x 8/2

  = 18 x 4

  = 72

Hope this helps!

:)

PLEASE HELP THIS IS SUPER URGENT

Answers

Answer:

13344yhgf567yf4edbui

Answer:

Choice: E

Step-by-step explanation:

Trust me

How can you prove these triangles are congruent

Answers

Answer:

B

Step-by-step explanation:

Side AB= Side DE

Angle B=90  Angle E=90

Side BC= Side EF

Therefore, they are congruent because of the SAS(Side Angle Side) Postulate.

Jake made a wooden cone with a diameter of 6 inches and a height of 4.5 inches. What is the volume of this cone?

Answers

Answer:

The volume of cone

V = (1/3) x base area x height

  = (1/3) x (diameter/2)^2 x pi x height  

  = (1/3) x (6/2)^2 x pi x 4.5

  = 42.41 (in3)

Hope this helps!

:)

Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .

Answers

Step 1) Divide the figure into shapes

Large rectangle: 5 x 12

Smaller rectangle: 4 x 6

Square: 2 x 2

Triangle: 4 x 3

Step 2) Find the area of each shapes

Large rectangle: A = 5 x 12 = 60

Smaller rectangle: A = 4 x 6 = 24

Square: A = 2 x 2 = 4

Triangle: A = 1/2 x 4 x 3 = 6

Step 3) Add all of the areas together

A = 60 + 24 + 4 + 6 = 94 square miles

Hope this helps! :)

Show that all terms of a quadratic pattern are positive

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

Any value squared would be positive

(-n)^2 = n^2

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

。☆✼★ ━━━━━━━━━━━━━━  ☾

Other Questions
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This means that governments or other institutions shouldnt be able to take their lives from them.Freedom-People everywhere should have the right to be free. This means that they should not be imprisoned by their government without a good reason. Slavery also denies people the right to freedom.Voting- All people should have the right to choose the leaders of their country. They should have a say in how their country is run.Well-being- No one should have to live in poverty. All people should have the right to food, shelter, clean water, and medical care.Education- People everywhere should be able to get an education. They should be able to read and write, and they should have opportunities to go to college. cuales son los adjetivos de mr.johnson has a long beard.? n 3n = 14 4n please help I need the work not the answer, answer is 7 Discuss the procedure for dyeing fabric with several colours. Evaluate the expression when a=6 and b=4.b +9a Can someone please help me out I am so confused Birch Company normally produces and sells 43,000 units of RG-6 each month. RG-6 is a small electrical relay used as a component part in the automotive industry. The selling price is $30 per unit, variable costs are $19 per unit, fixed manufacturing overhead costs total $155,000 per month, and fixed selling costs total $46,000 per monthEmployment-contract strikes in the companies that purchase the bulk of the RG-6 units have caused Birch Companys sales to temporarily drop to only 14,000 units per month. Birch Company estimates that the strikes will last for two months, after which time sales of RG-6 should return to normal. Due to the current low level of sales, Birch Company is thinking about closing down its own plant during the strike, which would reduce its fixed manufacturing overhead costs by $60,000 per month and its fixed selling costs by 8%. 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