if the ratio of the side lengths of two similar rectangular
prisms is 3/5, what would be the ratio of their areas

Answers

Answer 1

Given:

Ratio of the side lengths of two similar rectangular prisms is [tex]\dfrac{3}{5}[/tex].

To find:

The ratio of their areas.

Solution:

If two figures are similar then their areas are proportional to the squares of their corresponding sides.

[tex]\dfrac{A_1}{A_2}=\dfrac{s_1^2}{s_2^2}[/tex]

[tex]\dfrac{A_1}{A_2}=\left(\dfrac{s_1}{s_2}\right)^2[/tex]           ...(i)

Where, [tex]A_1,A_2[/tex] are areas and [tex]s_1,s_2[/tex] are corresponding sides.

It is given that ratio of the side lengths of two similar rectangular prisms is [tex]\dfrac{3}{5}[/tex]. It means, [tex]\dfrac{s_1}{s_2}=\dfrac{3}{5}[/tex].

Using (i), we get

[tex]\dfrac{A_1}{A_2}=\left(\dfrac{3}{5}\right)^2[/tex]

[tex]\dfrac{A_1}{A_2}=\dfrac{3^2}{5^2}[/tex]

[tex]\dfrac{A_1}{A_2}=\dfrac{9}{25}[/tex]

Therefore, the ratio of their areas is [tex]\dfrac{9}{25}[/tex]. It is also written as 9:25.


Related Questions

How many sides do 2 hexagons and 2 pentagons have in all?

Answers

Answer:

22 sides total

Step-by-step explanation:

a hexagon has 6 sides, while a pentagon has 5 sides. In order to find out how many there are total, we would multiply each by two, and add them together.

[tex]2(6)+2(5)=\\12+10=22[/tex]

Please help me I really need help

Answers

hi! the first one is -2+6 i & the second one is parallelogram!

Answer:

-2 + 6i

Parallelogram

Step-by-step explanation:

( 5 - 2i ) + ( - 7 + 8i )

remove parenthesis

5 - 2i + ( -7 ) + 8i

combine like terms

5 + (-7) = -2

-2i + 8i = 6i

-2 + 6i

The arrows on the opposite sides indicate that the sides are parallel

A shape with two sets of parallel sides is known as a parallelogram

Sushil was thinking of a number. Sushil divides by 7 then adds 7 to get an answer of 12. Form an equation

Answers

Answer:

The number is 35.

35 divided by 7 is 5, and 5 plus 7 is 12.

:)

Let's assume the number Sushil was thinking was 'x'

Now lets understand each part,

First, Sushil divides the number by 7, writing this in numbers will give,

[tex]\frac{x}{7}[/tex]

Sushil then adds 7 to digit, this will give

[tex]\frac{x}{7}+7[/tex]

Sushil tells that the answer for the following equation is 12, so

[tex]\frac{x}{7} + 7 = 12[/tex]

Therefore the equation Sushil made is [tex]\frac{x}{7} + 7 = 12[/tex]

Happy to help :)

If you need any help, feel free to ask

What is the value of x in the diagram below?

Answers

Answer:

57

Step-by-step explanation:

the whole angle is 90

So 90 minus 33 is 57

i need help with this

Answers

Answer:

[tex]y = - \frac{1}{2} x + 4[/tex]

Step-by-step explanation:

Let us consider two points through which the line passes through

[tex](x_1 , y _ 1 ) = ( 0 , 4 ) \ and \ (x_ 2 , y _ 2 ) = ( 4, 2 )[/tex]

Step 1 : Find slope of the line

[tex]Slope, m_1 = \frac{rise}{run} \\\\That \ is \ m_1 \ = \frac{y_2 - y _ 1}{x_2 - x_1}[/tex]

                  [tex]= \frac{2 - 4}{4-0} \\\\=-\frac{2}{4}\\\\= - \frac{1}{2}[/tex]

Step 2 : Find equation of the line.

[tex](y - y _ 1) = m_ 1 (x - x_1)\\\\( y - 4) = - \frac{1}{2}(x - 0)\\\\y = -\frac{1}{2}x + 4[/tex]

lol help pleas jdcbfjvbcjvdj

Answers

Answer:

C is your correct answer

Step-by-step explanation:

just multiply it together  then you get  70.51

no links please, i cant find the answer for q b) ii)

Answers

Answer:

-k

Step-by-step explanation:

Cos(140)=cos(180-40)=-cos(40)=-k

Answer:

Step-by-step explanation:

Sin (90 - A)  = Cos A

Cos (90 + A) =   -Sin A

Sin 50 = Sin (90 - 40)

          = Cos 40

         = k

Cos 140 = Cos (90 + 50)

             = - Sin 50

            = (- k)

Evaluate F(x) = x^2 + 1 for f(-1)

Answers

Answer:

2

Step-by-step explanation:

f(x) = x^2 + 1

f(-1) = (-1)^2 + 1

f(-1) = 2

Answer:

f(x)=x^2+1

f(-1)=(-1)^2+1

f(-1)=1+1

f(-1)=2

There is 28 kg 750 g of sugar in a sack. How many tins of 500 g sugar can be filled using the sugar in the sack?

Answers

Answer:

Step-by-step explanation:

28 kg + 750 g = 28*1000 + 750

                          28000 + 750

                       = 28750 g

Number of sack = Total quantity of sugar ÷ quantity of sugar in a sack

                           = 28750 ÷ 500

                           =  57 sacks

Answer:

57 sacks

Step-by-step explanation:

28750 ÷ 500 =

57 sacks

Glad to help! :)

What is the first term of the series?
a1 =

Answer each question about the following
geometric series
10
k-1
S10 = 32
k-1
How many terms are in the series?
COMPLETE
Σ3(2): -
What is the last term of the series?
a1 =
1
DONE
2
9
10
COMPLETE

Answers

Answer:

Below.

Step-by-step explanation:

The first term (where k = 1)

= 3(2)^1-1

= 3*1

= 3,

The last term ( k = 10)

= 3(2)^(10-1)

= 3(2)^9

= 3* 512

= 1536.

Answer:

3

1536

A

Step-by-step explanation:

118°
D
B
angle C= ?
can anybody help pls?

Answers

Answer:

∡ c = 118°

Step-by-step explanation:

angle c is 118 degree (being vertically opposite angle)

∡ c = 118°

Answer:

118

Step-by-step explanation:

there is a property that i can't remember the name of that is dealing with angles across a flat line.

another way, is that 118+D=180, so D is 62

so that means D + C = 180, where D is 62 so C must be 118

Which best describes the product of these two radicals?
√2-√7

The product is rational because both V2 and V7 are rational numbers,

The product is irrational because both 2 and 7 are irrational numbers.

The product is rational because at least one factor is rational,

The product is irrational because one of the factors is an odd number.

Answers

Answer:

second option: product is irrational because both are irrational

Step-by-step explanation:

The second option which is the product is irrational because both are irrational numbers.

What is irrational number?

These are those numbers which are impossible to  be written in the form of p/q.

How to determine the product?

We have been the given the following numbers.

[tex]\sqrt{2 } and \sqrt{7}[/tex] and we have been asked to find the description of the product of both. We know that these are irrational numbers because it cannot be written in the form of p/q. When we multiply this we can get root 14 which is also a irrational number.

Learn more about irrational numbers at  https://brainly.com/question/124495

#SPJ2

Help me please.

No links i will report anything not related to the question

Answers

6/9 4/6 is the correct answers

Answer:

6/9 and 4/6

Step-by-step explanation:

Double and Triple the number

find the area of the polygon.

( help please )

Answers

Answer:

The area of the polygon will be 8 unit square.

If you draw lines from each point you will find 6 squares and 4 triangles. Since area of triangle is half than that of square, you can count two traingles to be equal of a square.

Solve. Please hurry, I am on a timer.!! I need your help QUICK!
A. -2 1/4
B. -8 2/3
C. -9 1/4
D. 2 1/4

Answers

Answer:

-9 1/4

Hope that this help!

A building casts a 21 foot shadow along the ground. A person 5 feet 3 inches casts a shadow 7 feet long.



How tall is the building?

Answers

Answer:

~28

Step-by-step explanation:

5 feet 3 inches is 5.25 feet.

We divide 7/5.25 which equals 1.3333333333333 (repeating)

That means we multiply 21 by 1.333333333333 which would round up to 28 feet. (the exact answer is 27.99999999999999999)

PLEASE PLEASE HELP ME WITH THIS GEOMETRY QUESTION!!!

Answers

Step-by-step explanation:

Objective: Circle Theorems

The arcs add up to 360 and they are in proportion so

[tex]3x + 3x + 4x + 5x = 360[/tex]

[tex]15x = 360[/tex]

[tex]x = 24[/tex]

So this means that Arc AB and BC measure is 72 each. Arc CD measure is 96 and Arc DA measures is 120.

Angle 1 measure is a inscribed angle of Arc CD.

So it measures

[tex] \frac{96}{2} = 48[/tex]

Angle 2 is a inscribed angle of Arc AB so it measures

[tex] \frac{72}{2} = 36[/tex]

Angle 3 is a inscribed angle of Arc DA.

[tex] \frac{120}{2} = 60[/tex]

Angle 4 is a inscribed angle of Arc BC so it measures

[tex] \frac{72}{2} = 36[/tex]

Angle 5 is formed by tangent line ED. Since D lies on the circumference, it also is tangent to point e so it also measures 90 degrees.

Angle 4 measures 32 so Angle 5 is it complement to Angle 4.

[tex]32 + x = 90[/tex]

[tex]x = 58[/tex]

Angle 6 is formed by two intersecting chrods

so it measures

[tex] \frac{1}{2} (120+ 72) = 96[/tex]

What is the equation of the following line written in slope-intercept form?

Answers

Answer:

C

Step-by-step explanation:

y=-7x-11

the answer in slope intercept form is y=-7x-11

Please help
is not a exam is a activity

Answers

Answer:

y= 5x

Step-by-step explanation:

since each x number is 1/5 of the y, it's 5 times x = y

PLEASE HELP IF YOU KNOW GEOMETRY THIS SHOULD BE EASY

Answers

Answer:

Growth

Step-by-step explanation:

When x value increase, y value also increase, So growth.

When x = 1   ;f(1) = 2

When x = 2  ; f(2) = 2² = 4

When x = 3  ; f(3) = 2³ = 8

Answer:

Exponential Growth

Step-by-step explanation:

I found this photo that helps differentiate both growth and decay :)

I hope this helps! :)

Second Number Cube
1
2.
3
4
5
6
First Number Cube
locN-
1,1 1,2 1,3 1,4 1,5 1,6
2,1 2,2 2,3 2,4 2,5 2,6
3,1 3,2 3,3 3,4 3,5 3,6
4,1 4,2 4,3 4,4 4,5 4,6
5,1 5,2 5,3 5,4 5,5 5,6
6,1 6,2 6,3 6,4 6,5 6,6
How many possible outcomes are there?
O 6
12

Answers

Answer:

36

Step-by-step explanation:

summation of all the outcome

There are 36 possible outcomes is shows in table for rolling two  six - sided number cubes.

What is mean by Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

The table shows all the possible outcomes for rolling two six - sided number cubes.

Now, We know that;

For rolling one six - sided number cubes,

There is 6 possible outcomes.

Hence, For two six - sided number cubes.

Number of possible outcomes = 6 × 6

                                               = 36

Thus, There are 36 possible outcomes is shows in table for rolling two  six - sided number cubes.

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ7

Proportions in similar triangles

Answers

Answer:

x = 4

Step-by-step explanation:

Given that DE is parallel to AC then DE divides the sides proportionally, so

[tex]\frac{BD}{DA}[/tex] = [tex]\frac{BE}{EC}[/tex] , substitute values

[tex]\frac{x+2}{x}[/tex] = [tex]\frac{3}{2}[/tex] ( cross- multiply )

3x = 2(x + 2) ← distribute

3x = 2x + 4 ( subtract 2x from both sides )

x = 4

2 more than the sum of y and x as an algebraic expression​

Answers

Answer:

(x+y)+2

hope this helps

For EASY BRAINLIEST!!!

Answer as many as you can !!

Answers

That’s a lot of work to do but you probably got it by now .

Help me
Is not an exam is a activity

Answers

Answer:

B. y= -2x +2

Step-by-step explanation:

the slope is negative 2 and the point where the line crosses the y-int is 2

Name the marked angle in 2 different ways.

Answers

Answer:

angle GIH

angle HIG

this is the answer

The tables represent the functions f(x) and g(x).

A table with 2 columns and 7 rows. The first row, x, has the entries, negative 3, negative 2, negative 1, 0, 1, 2. The second row, f(x), has the entries, negative 5, negative 3, negative 1, 1, 3, 5. A table with 2 columns and 7 rows. The first row, x, has the entries, negative 3, negative 2, negative 1, 0, 1, 2. The second row, g(x), has the entries, negative 13, negative 9, negative 5, negative 1, 3, 7.
Which input value produces the same output value for the two functions?

Answers

Answer:

rtyujn

Step-by-step explanation:

er456y7ujm

HELP pls help me with this problem.

Answers

Answer:

8units

Step-by-step explanation:

area of a triangle=1/2base x height

1/2×4×4

2×4

8units

The answer is 8 unit I hope it helps

A group of people were asked if they had run a red light in the last year where 140 responded "yes," and 208 responded "no." If a person is randomly chosen, find the probability that he/she has run a red light in the last year. Give your answer as a fraction or decimal.

Answers

Answer:

35/87

Step-by-step explanation:

To find the probability, we must find (total number of favorable outcomes)/ (total number of outcomes). We thus need to find the total number of outcomes. As people have only answered "yes" or "no", the total number of outcomes is 208+140 = 348.

The total number of favorable outcomes, or what we're looking for, is 140 (140 people responded that they had run a red light). Thus, our fraction is 140/348, or 35/87

How much shredded newspaper did each person at the table receive?

Answers

Answer:

Hsbsbbsysbwisuqiqiqjqjqjqjqjjqjqjqj1 1b1bh2jo

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