Given the similar hexagon-based prisms pictured below, if prism 2 has a surface area of 256 cm, what is the surface area prism 1? Hint : the ratio of surface areas is the scale factor squared.

Given The Similar Hexagon-based Prisms Pictured Below, If Prism 2 Has A Surface Area Of 256 Cm, What

Answers

Answer 1

Using the hint that the ratio of surface areas is the scale factor squared, the surface area of prism 1 is 36 square cm

How to determine the surface area prism 1 using the hint that the ratio of surface areas is the scale factor squared?

From the figure, we have the following parameters

Prism 1 = 3 cm

Prism 2 = 8 cm

Calculate the scale ratio of dilation from prism 2 to prism 1 using the following equation

Scale ratio = Prism 1/Prism 2

Substitute the known values in the above equation

Scale ratio = 3m/8m

This gives

Scale ratio = 0.375

The surface area of prism 1 is then calculated using the following equation

Area of prism 2 = Scale ratio^2 * Area of prism 1

Substitute the known values in the above equation

Area of prism 2 = 0.375^2 * 256 square cm

Evaluate the product

Area of prism 2 = 36 square cm

Hence, the surface area of prism 1 is 36 square cm

Read more about surface area at

https://brainly.com/question/76387

#SPJ1


Related Questions

Consider the following ordered data: 2 5 5 6 7 7 8 9 10 find Q3+1.5

Answers

You figure that your own >:(

11.
8. The graph below shows the price Joanna
sells tomatoes according to their weight.
Write an equation for the graph.
h
H
Tomato Prices
12
10
Price (in dollars)
12
12.
Weight
(in pounds)
a. y = -x
6
10
b. y =
12
c.
=
d. y = x

Answers

Answer:

the question is invalid. please rewrite the question.

In tug of war, when one team moves toward the other, what can be said about the forces?

Answers

Answer:

When the force exerted by one team slackens, the force exerted by their third law, each team pulls the opposite team with equal force in a tug of war.  So the two forces don't balance each other and the rope accelerates towards the stronger team.

Step-by-step explanation:

1/2 to the 2nd power plus 1/2 to the 2nd power

Answers

0.5! This can be explained because 1/2 x 1/2 is equal to 0.25 so if we add another 0.25, it will be 0.5

Answer:

1/2

Step-by-step explanation:

([tex]\frac{1}{2}[/tex])² + ([tex]\frac{1}{2}[/tex])² = 1/4 + 1/4 = 2/4 or 1/2

Michael is building a skateboard ramp He cannot decide how long the ramp should be so he draws the blueprint below. Michael draws a vertical line in the big triangle AAGH to form the AABC Michael determines the slope of both triangles to find out which ramp will be steeper​

Answers

Answer:

The answer is below

Step-by-step explanation:

The slope of a line passing through two points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] is given by:

[tex]slope(m)=\frac{y_2-y_1}{x_2-x_1}[/tex]

The slope of triangle ABC is gotten by finding the slope of line AC. Line AC passes through the point A(15, 1) and C(10, 3). The slope of triangle ABC is given by:

[tex]slope\ of\ triangle\ ABC=\frac{3-1}{10-15}=-0.4\\[/tex]

The slope of triangle AGH is gotten by finding the slope of line AH. Line AH passes through the point A(15, 1) and H(0, 7). The slope of triangle AGH is given by:

[tex]slope\ of\ triangle\ AGH=\frac{7-1}{0-15}=-0.4\\[/tex]

Since both triangles have the same slope, therefore their steepness is the same.

On a coordinate plane, triangle A has points (negative 4, 0), (negative 4, 4), (0, 4). Triangle A prime has points (1, 0), (1, 2), (3, 2).
The pre-image, A, was dilated by a factor of 1/2 about the origin. It was then transformed in another way.

Identify the transformation after the dilation.
rotation 90° counterclockwise
rotation 180° counterclockwise
translation up 3 units
translation right 3 units

Answers

Answer:

d

Step-by-step explanation:

Answer:

that person is wrong it is c

Step-by-step explanation:

i did it

Does anyone know how to do this? They all are either add, subtract, multiply, divide, square, or square root besides the 4th sentence. The 4th sentence is either perfect square of a binomial, linear equation, or quadratic equation in standard form

Answers

Answer:

Square, multiply b, add, quadratic equation

Step-by-step explanation:

I need help asap!!!!

Answers

Step-by-step explanation:

step 1. a circle has an area, A, of 81(pi)

step 2. A = (pi)r^2 = 81(pi)

step 3. therefore r^2 = 81 or r = 9

step 4. if the radius is 9 inches then the diameter is 18 inches.

Pl help it’s for a grade

Answers

Answer:

A

Step-by-step explanation:

Answer:

23 m, South

Step-by-step explanation: He traveled 25 m north then he went 48 m south so that means you would have to subtract 25 from 48 to get 23 m, south

PLEASE HELP PLSS IM ON A TIME LIMIT!!!

Answers

Answer:

so on the first one all your doing is multiplying 65 by the number on top so the graph should look like this.

2 3 4 5

130 195 260 325

On the second one all your doing is putting the dot where the numbers meet up so for example. I'm going to try my best at this to create a drawing so pretend ! is a line and - is also a line.

10!

!

8!

!

4!_|●_|_|_|_|_|_|

!_|_|_|_|_|_|_|_|

!_|_|_|_|_|_|_|_|_

0!_|_|_|_|_|_|_|_|_|_

2

so I hope this made sense so where I put my dot is where the blue dot should go on the graph

write a equation in the form y= mx or y= mx + b to represent the relationship between the independent and dependent qualities?

Answers

Answer:

y = 10x

Step-by-step explanation:

Independent variable (x) = time (minutes)

Dependent variable (y) = distance (feet)

The line passes through the point of origin (0, 0), which means it represents a proportional relationship. Therefore, the equation would be in the form of y = mx. Where,

m = slope = y/x

Using any point on the line, say (5, 50),

m = 50/5

m = 10

To write the equation, substitute m = 10 into y = mx

Thus:

y = 10x

Match the event with the most appropriate probability word: The roll
a standard fair dice will show the square root of 49.
Impossible
Unlikely
Certain
Evens
Likely
Other:

Answers

Answer:

Impossible

Step-by-step explanation:

Impossible is the answer as the root of 49 is 7 and dice has numbers up till six only

What is the measure of angle x round the nearest degree

Answers

Answer: 16 degrees obviously

Step-by-step explanation:

Help me please thxxxxxxx

Answers

Answer:  2.4

Step-by-step explanation:

a²+b²=c²

3.9+b²=6.3

-3.9      -3.9

_________

b=2.4

check it:

3.9+2.4=6.3

there you go

mark brainly if this helps PLEASE.

MATH HELP ME NOWWWWWWWWWWWWWWWW

Answers

Answer:

part A maybe

Step-by-step explanation:

3/4+1/8 =7/8

part B

5/8 cups

What two numbers multiplied equal 6 but added together equal -7?

Answers

Answer:

-6 and -1

Step-by-step explanation:

let's suppose there are two numbers x and y so that it that works that would give the following equations

[tex]x*y=6 \\ x+y =-7[/tex]

now let'S rewrite the first to the form y =

[tex]y=\frac{6}{x}[/tex]

and plug that into the second one

[tex]x+\frac{x}{6} = -7|*6\\6x+x=-42\\7x=-42|:7\\x=-6[/tex]

use that to find out what y is

[tex]-6+y=-7|+6\\y=-1[/tex]

you can check that with the first equation

Helpppop meeeee plzzzzz

Answers

Answer:

7.4

Step-by-step explanation:

solve for side a in first triangle:

[tex]10^2-6^2=y^2[/tex]

100-36=[tex]\sqrt{64}[/tex] (take square root of 64)

y=8

then use 8 to solve for x:

[tex]8^2-3^2=x^2[/tex]

64-9=[tex]\sqrt{55}[/tex] (take square root of 55)

x=7.4

IS THERE ANYONE THAT WILL HELP WITH THIS PROBLEM AND BRAINLLEST FOR CORRECT PEOPLE
Segment FG is shown. Point F is located at (−5,−4). Point G is located at (3,−4).

Answer the question below.

Answers

Answer:

the midpoint is at (-1,-4)

Answer:

-1, -4

Step-by-step explanation:

find the middle of the segment


Help me with this math question please !!!

Answers

Answer:

-1 and 14 if you put these numbers in the place of x

The distance around one block in Ava's neighborhood is 34 mile. If Ava rides her bike around the block 5 times, how many miles does she ride? Use the number line to help.

Answers

Answer:

I think the answer is 3 3/4

Step-by-step explanation:

5 × 3/4 = 15/4

15/4 = 3 3/4

Please help. Thank you I am out of points because people are stealing them.

Answers

Interval notation: [-2,3]

Please help for instant brainliest.

Answers

Answer:

(8, -1)

Step-by-step explanation:

its the point of intersection

Answer:

D

Step-by-step explanation:

the following lines meet up at the poitn (8,-1) which is to answer d

hope this helps

I need help pls this is to confusing

Answers

Answer: the value of a is less than b because its to the left

Step-by-step explanation:

PLEASE HELP MUST BE AT LEAST 5 SENTENCES PLEASE HELP DUE IN 5 MINS

Answers

Answer:

The Liberty Tree (1646–1775) was a famous elm tree that stood in Boston near Boston Common, in the years before the American Revolution. The tree became a rallying point for the growing resistance to the rule of Britain over the American colonies, and the ground surrounding it became known as Liberty Hall. By hanging the noose there it is symbolizing liberty and justice is served.

Step-by-step explanation:

please mark brainliest, I hope this helps

plz help ASAP!!!!!!!!​

Answers

Answer:

The answer is 95.03

Step-by-step explanation

The formula that I used

A=πr^2

Area  = π·5.5^2 ≈ 95.03318

Hope that helps :)

The ice cream store offers schools a discount of 12% for the month of June. The school decides to purchase ice cream bars for the end of the year picnic.
a. How much money would the school save if the school purchased 55 boxes of ice cream? Show your work and write your answer in the space below.
b. What is the total price with the discount for 55 boxes of ice cream?

PLS HELP ME!!!​

Answers

Answer:

Divide the number of ice-cream bars into the number of people. Example: say you have 20 ice cream bars and 10 people you divide 20/10 and get 2 ice cream bars per person

Step-by-step explanation:

Are you also a simp for draco? :3

Calculate the following expressions :
A = 36.8 + 4 x 10.2 - (4.5 x 2): 3​

Answers

Te ajut eu la dacă vrei la matematica

Explain why triangles with 3 congruent parts aren’t necessarily congruent.

Answers

Answer:

SAS stands for "side, angle, side" and means that we have two triangles where we know two sides and the included angle are equal. If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

Step-by-step explanation:

I hope this helps and pls mark me brainliest :)

Pls help extra points and mark brainlist

Answers

Answer:

80 + 30h

Step-by-step explanation:

(10 * 8) + (10 * 3h)

=80 + 30h

[tex]\Large\boxed{\tt Anwer:~80+30h}[/tex]

[tex]\tt Step-by-step~explanation:[/tex]

We need to distribute the 10 to 8 and 3h. In order to do this, we can multiply 10 by 8 and 10 by 3h.

[tex]\tt 10*8=80\\10*3h=30h[/tex]

Then, we add them together to get the answer.

[tex]\tt 80+30h[/tex]

1/2
¿Cuántos envases de 1/2 de litro
se pueden llenar con el líquido de
una tina de 12 litros?​

Answers

Es 24.......................
Other Questions
The electric energy stored in a 3-V battery whose capacity is2 Ah is:Please explain in detailThe voltage needed to produce a current of 8 A in a resistanceof 12 ohms is:Please explain in detailA 3 kg pine board is 20 cm wide, 2 cm thick and 2 mlong. The density of the board is:Please explain in detail Determine the number of atoms across the diameter of a human hair given that the diameter of an atom is 0.1 nm and the diameter of a human hair is 0.1 mm.10^910^1210^610^-1210^3 after+60.0+min,+37.0%+of+a+compound+has+decomposed.+what+is+the+halflife+of+this+reaction+assuming+firstorder+kinetics?1/2= Help pleaseMrs Phillips needs to create a box to hold all of her math gadgets. It will be from a rectangular piece of stiff cardboard, having dimensions (length 11 inches) (width 10 inches) (height x inches) created by cutting out square corners. With side length x and folding up the sides(A) Write an equation for the volume of the box in terms of x.(B) Estimate the value of x to the nearest tenth, that gives greatest volume(C) Explain what the x and y coordinates at the peak curve represents in the priority first search (pfs) modifi cation to ford-fulkerson's max-flow algorithm, we aim at fi nding an augmenting path that maximizes the minimum residual capacity of edges in the path.True or false? if a dna sample contains 13% adenine, what percentage of the sample contains cytosine?multiple choice A limited liability company, unlike a Subchapter S corporation, can have members that are corporations, partnerships, or nonresident aliens. Assume that an analyst is using the constant dividend growth model to value a stock. Which of the following scenarios would be certain to cause her to decrease her estimate of the stock's value (assuming, of course, that all other factors are held constant)?Question 10 options:She believes the company has become riskier, and therefore increases her required rate of return for the stockShe increases her estimate of the company's next year's dividendShe increase her estimate of the expected annual rate of growth in the company's dividendsShe decreases her required rate of return for the stockNone of the above would cause her to decrease her estimate of the stock's valueTomTom Inc. just paid a dividend of $3.00 (that is, D0 = 3.00). The current market price of the stock is $50 per share. Investors require a return of 15 percent on TomTom's stock. What is the implied growth rate of TomTom Inc., assuming that it grows at a constant rate? _____ got the Union Pacific and Central Pacific to finally decide on a meeting point Some common salt was put into flask .Water was then added carefully using a pipette without shaking the salt.After shaking the volume of the solution reduced.Explain the observation If a company has 35% Bond financing at 9% and 65% Loan financing at 11%, and a tax rate of 34%, what is the cost of capital financing?A. 9.5%,B. none of theseC. 6.8%,D. 8.9% 1. Can you describe any bargaining situation you found yourself in that didn't end up in your favour. 2. Can you explain why you think you ended up loosing the negotiation?3. If you were to prepare to face a similar bargaining situation in the future what do you think you could do different?4. Do you think it is still important to consider the national culture of prospective negotiation partners if your are to engage in global negotiations. In order to protect the privacy of employees, email messages that have been erased from hard disks cannot be retrieved.a. Trueb. False A typical pressure in a vein is 18 mm hg. How high would you need to hang an iv bag so that the fluid enters the blood stream at this pressure? Assume the iv fluid has a density of 1000 kg/m3. the nurse is administering continuous intravenous infusion of norepinephrine (levophed) to a client in shock. which finding causes the nurse to decrease the rate of infusion? A thin, horizontal, 14-cm-diameter copper plate is charged to 4.5 nC . Assume that the electrons are uniformly distributed on the surface.A. What is the strength of the electric field 0.1 mm above the center of the top surface of the plate?B. What is the strength of the electric field at the plate's center of mass?C. What is the strength of the electric field 0.1 mm below the center of the top surface of the plate? a plane approaches you at 760 mi/h. it produces a sound at a frequency of 256 hz. what frequency do you hear? let the speed of sound be 343 m/s, 1 mile = 1609.34 m, 1 hr = 3600 s In a patient who was in a motor vehicle crash, which sign most strongly suggests abdominal trauma?A. VomitingB. HypertensionC. TachycardiaD. Diarrhea Give the state diagram for a Turing machine that decides each of the following language over = {0, 1}: a) Lo= {w: w contains both the substrings 011 and 101} b) L7= {w: w contains at least two 0's and at most two ls} T/F: sanctions by the international community against burma (myanmar) have had the intended effect of reducing the drug trade in that country.