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

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Interval notation: [-2,3]

Calculate the following expressions :
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What two numbers multiplied equal 6 but added together equal -7?

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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

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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

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

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:

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MATH HELP ME NOWWWWWWWWWWWWWWWW

Answers

Answer:

part A maybe

Step-by-step explanation:

3/4+1/8 =7/8

part B

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Step-by-step explanation:

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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.

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.

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.
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b. What is the total price with the discount for 55 boxes of ice cream?

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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

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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


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Answers

Answer:

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

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Answers

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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

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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

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Answers

Answer:

Square, multiply b, add, quadratic equation

Step-by-step explanation:

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:

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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

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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

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Step-by-step explanation:

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

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answer:

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Answers

Answer:

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Step-by-step explanation:

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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]

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

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

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