How to find the scale factor of a rectangle?

How To Find The Scale Factor Of A Rectangle?

Answers

Answer 1
To find the scale factor, we divide one side by another that we know is correlated to that side (for example, if the sides are parallel). Since we can see that SR lines up with S'R' and RQ lines up with R'Q' (since it's in the same pyramid, they're parallel), they are similar. Finding the ratio, we get 6/15 or 4/10 or 2/5. That means that S'P' * 2/5=SP etc..

Related Questions

What is 43.78 in word form

Answers

forty three. seven eight
Forty-three. Seventy-eight will be the correct answer. Have A Great Day

Assume that in a batch of 34 defective items there are 22 with major defects and 23 with minor defects.
How many items in this batch have both major and minor defects?

Answers

there would be only one with both

A. Sin40=6/x
B. Sin40= x/6
C. Cos40= x/6
D. Cos40=6/x

Answers

the answer is A. sin40=6/x

Create and solve equations, showing your work. You must create the equations and show the steps required to solve them.

Your portfolio must include a minimum of the following types of equations:

One one-step equation
One equation that contains fractions
One equation with decimals
One real-world problem that is solved by an equation

Answers

One step equation, where only one step is required to solve the problem. Example:
20 = 5x
4 = x

Fractions:
1/2 + x = 3/2
x = 3/2 - 1/2
x = 1

Decimals:
0.5 + x = 1.5
x = 1.5 - 0.5
x = 1

Real world problem: (word problem and equation)
It costs $5 per hour to rent a canoe plus a $3 rental fee. How much will the total be if you plan on renting the canoe for 3 hours?
y = 5x + 3
y = total cost ; x = number of hours rented
y = 5×3 + 3
y = 15 + 3
y = $18

One-step equation is 4y=64, equation contains fractions is 3x=24/5, equation with decimals is 9x+0.3=17.7 and equation for real world problem is y=1x+2.

What is the equation of variable?

The variable is the unknown part of the equation. Variable changes with change in the quantities for any situation.

One one-step equation

The one step-equation is written below.

[tex]4y=64[/tex]

Divide both side with 4,

[tex]y=16[/tex]

The equation is solved in one-step.

One equation that contains fractions.

The following equation is the equation which contains the fraction,

[tex]3x=\dfrac{24}{5}[/tex]

Divide both side with number 3,

[tex]x=\dfrac{24}{5\times3}\\x=\dfrac{8}{5}[/tex]

One equation with decimals-

The following equation is the equation which contains the decimals,

[tex]9x+0.3=17.7[/tex]

Subtract both side with decimal number 0.3,

[tex]9x+0.3=17.7\\9x=17.7-0.3\\9x=18[/tex]

Divide both side with number 9,

[tex]x=2[/tex]

One real-world problem that is solved by an equation

A taxi driver charge $1 for the a mile of a taxi ride and one time booking charge $2. The equation for this is given as,

[tex]y=1x+2[/tex]

Here in the variable (y) represent the total charge of taxi and variable (x) represent the number of rides the taxi travelled.

Thus, the one-step equation is 4y=64, equation contains fractions is 3x=24/5, equation with decimals is 9x+0.3=17.7 and equation for real world problem is y=1x+2.

Learn more about the equation of variable here;

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Find two numbers whose LCM is 90

Answers

To find the LCM for 90 since it has a zero, the first LCM is going to be 10. And 10 multiplied by 9 is 90. You can also divide the 90 by 5 and get 18.
One way working this out is to find all the numbers that go into 90 by listing all the pairs of numbers that multiply to give 90

1 × 90
2 × 45
3 × 30
6 × 15
9 × 10

From here we can do trial and error:

Let's choose any two factors, say 2 and 3
By listing their multiples, we will find their LCM is 6, not 90

Then choose any two factors, say 3 and 6
By listing their multiples, we will find their LCM is 6, not 90

We can try some bigger number, say 45 and 90
by listing their multiples, we will find their LCM 90

Answer: 45 and 90


132.4 devided to te nearest tenth

Answers

Are you trying to find the nearest tenth to 132.4?

PLEASE HELP ME FAST!!!!!!!
who do i write the number 0.23333333333... repeating as a fraction?

Answers

it is 23/100 just say it and then write it
23/33333 it think I could be wrong

What is 372 divided by 2

Answers

372 / 2 = 186 <=======
the answer to your question is 186

Solve for x.
0.6x-5=0.1x+7

Answers

0.6x - 5 = 0.1x + 7

0.6x - 0.1x = 5 + 7

0.5x = 12

0.5x/0.5 = 12/0.5

x = 24

hope this helps

The solution to the equation 0.6x - 5 = 0.1x + 7 is x = 24.

To solve the equation 0.6x - 5 = 0.1x + 7 for x, we need to isolate the variable x on one side of the equation. Here's the step-by-step explanation:

Step 1: Simplify the equation

Combine like terms on both sides of the equation.

0.6x - 0.1x - 5 = 0.1x - 0.1x + 7

0.5x - 5 = 7

Step 2: Move the constant term to the other side

To isolate the variable x, we want to get rid of the constant term on the same side as x.

0.5x - 5 + 5 = 7 + 5

0.5x = 12

Step 3: Solve for x

Now, we'll solve for x by dividing both sides of the equation by the coefficient of x, which is 0.5.

(0.5x)/0.5 = 12/0.5

x = 24

So the solution to the equation 0.6x - 5 = 0.1x + 7 is x = 24.

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The lengths of a rectangle are 2x and x – 3. A triangle has lengths x, x – 2 and x + 4. The rectangle and triangle have the same perimeter.

Answers

Let P = the combined perimeter for the rectangle and square.

P = rectangle + triangle

P = 2(2x) + 2(x - 3) + x + x - 2 + x + 4

P = 4x + 2x - 6 + 3x - 2 + 4

P = 9x - 8 + 4

P = 9x - 4

at the zoo there were 3 times as many monkeys as lions Tom counted a total of 24 monkeys and lions how many monkeys were there

Answers

Answer=92 monkeys
3×24=92
So the question said to figure out how many lions there are. SInce there are 24 monkeys and it is 3 times as many monkeys to lions. All you have to do to figure it out is multiply 24 and 3 and the answer would be 72. 

Why do you suppose the United States still uses the English System for everyday measurements, while almost every other country uses Sl? Give several possible reasons

Answers


1) No incentive to change.
2)
there are two other non-metric countries
3)
The US is only 1 of 3 countries in the world which aren't metric.
4)
massive undertaking than most people realize.

how wide is a rectangular strip of land with length 6 mi and area 48 square mi? find the perimeter of the rectangular strip of land.

Answers

Final answer:

The width of the rectangular strip of land is 8 miles. The perimeter of the strip is 28 miles.

Explanation:

To find the width of a rectangular strip of land with a length of 6 miles and an area of 48 square miles, we use the formula for the area of a rectangle, which is Area = length × width. Since the area and the length are given, the width can be calculated as Area / length, which is 48 square miles/6 miles = 8 miles wide.

Now, to find the perimeter of the rectangular strip of land, we use the formula Perimeter = 2(length + width). Plugging in the given length of 6 miles and the calculated width of 8 miles, the perimeter equals 2(6 miles + 8 miles) = 2 × 14 miles = 28 miles.

2(r-3)/4=50 Please help i am very confused

Answers

[tex] \frac{2(r-3)}{4} - 8 = 50[/tex]

Add 8 to both sides.

[tex]\frac{2(r-3)}{4} = 50 + 8
 
Simplify. 

[tex] \frac{2(r-3)}{4} = 58[/tex]

Then, multiply both sides by 4.

[tex]4 * \frac{2(r-3)}{4} = 58 * 4[/tex]

Simplify.

2(r - 3) = 232

Simplify.

2r - 6 = 232

Add 6 to both sides.

2r = 232 + 6

Simplify.

2r = 238

Divide both sides by 2.

r = 119

~Hope I helped!~

3.6 divided by 24 equals what?

Answers

the answer to your question is .15

The value of the expression is 3/20.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

3.6 ÷ 24

= 3.6/24

= 36/240

= 9/60

= 3/20

Thus,

The value of the expression is 3/20.

Learn more about expressions here:

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south high school has 85 students more than North High School. The total number for both schools is 1495. How many students are at South High School?

Answers

790 students I subtracted 1495-85 then divided that by two then added the 85 to 705 to get 790

): How many times longer is the diameter of a grain of sand than the diameter of the average cell in the human body? Show your work.    Need help bad:(

Answers

Approximately 25. Of the 5 grades of sand used in the United states, medium sand has particles ranging from 0.25 mm to 0.5 mm. For convenience, I'll use 0.5mm as the diameter of a grain of sand. Human cells range from a volume of 30 cubic micrometers (human sperm cell) up to 4 million micrometers (human egg cell). For the average human cell, I'll use an osteoblast with a volume of 4000 cubic micrometers or a diameter of 2x10^-5 meters. Now just take the diameter of a grain of sand and divide by the diameter of a human cell. 5 x 10^-4 / 2x10^-5 = 5/2 x 10^(-4 - -5) = 2.5x10^1 = 25 So the diameter of a grain of sand at 0.5 mm is approximately 25 times larger than that of a human cell at 0.02mm

39 please and thanks just need answer

Answers

20,602 feet 

just subtract 20,320 - (-282)

the negative turn positive and you add the numbers
20,320-282
This is your answer

calculate the distance between (0,3) and (3,10) to 1 decimal place

Answers

Alright, so the distance formula is sqrt((x1-x2)^2+(y1-y2)^2), and plugging that in, we get sqrt((0-3)^2+(3-10)^2)=sqrt((-3)^2+(-7)^2)=sqrt(9+49)=sqrt(58)=around 7.6

in the diagram, ray OT bisects angle SOU, measure of angle UOV equals 35 and measure of angle YOW equals 120 find the measure of each angle

Answers

Final Answers:

m∠ZOY = 60°

m∠ZOW = 180°

m∠VOW = 60°

m∠SOU = 190°

m∠TOU = 95°

m∠ZOT = 85°



Here's a step-by-step solution with the final answers:

1. Identify the given angles:

m∠UOV = 35°

m∠YOW = 120°

OT bisects ∠SOU

2. Find m∠VOW:

∠VOW and ∠YOW are supplementary angles because they form a straight line.

m∠VOW = 180° - m∠YOW = 180° - 120° = 60°

3. Find m∠ZOY:

∠ZOY and ∠VOW are vertical angles, so they are congruent.

m∠ZOY = m∠VOW = 60°

4. Find m∠ZOW:

∠ZOW and ∠YOW are adjacent angles that share a common side (OW).

m∠ZOW = m∠ZOY + m∠YOW = 60° + 120° = 180°

5. Find m∠SOU:

Since OT bisects ∠SOU, m∠TOU = 1/2 * m∠SOU.

We'll find m∠TOU later, so keep this relation in mind.

6. Find m∠TOU:

∠TOU and ∠UOV are adjacent angles that share a common side (OU).

m∠TOU = m∠VOW + m∠UOV = 60° + 35° = 95°

7. Find m∠SOU (using the relation from step 5):

m∠SOU = 2 * m∠TOU = 2 * 95° = 190°

8. Find m∠ZOT:

∠ZOT and ∠TOU are supplementary angles because they form a straight line.

m∠ZOT = 180° - m∠TOU = 180° - 95° = 85°

Final Answers:

m∠ZOY = 60°

m∠ZOW = 180°

m∠VOW = 60°

m∠SOU = 190°

m∠TOU = 95°

m∠ZOT = 85°


The probable question is in the image attached.

588 = 3n Please help I don't understand this!

Answers

Simplifying
588 = 3n

Solving
588 = 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
588 + -3n = 3n + -3n

Combine like terms: 3n + -3n = 0
588 + -3n = 0

Add '-588' to each side of the equation.
588 + -588 + -3n = 0 + -588

Combine like terms: 588 + -588 = 0
0 + -3n = 0 + -588
-3n = 0 + -588

Combine like terms: 0 + -588 = -588
-3n = -588

Divide each side by '-3'.
n = 196

Simplifying
n = 196
Hello!

First, let's write the problem,
[tex]588 = 3n[/tex]
Let's switch sides now, otherwise, we are going to end up doing it later.
[tex]3n=588[/tex]
Divide both sides by 3.
[tex]\frac{3n}{3}=\frac{588}{3}[/tex]
Simplify.
[tex]n=196[/tex]
That would be our final answer.

You can feel free to let me know if you have any questions regarding this!
Thanks!

- TetraFish

How do I turn 1/9 into a decimal?

Answers

To convert the fraction to a decimal by dividing the numerator by the denominator. 

0.1111111111.... Will be your answer. Make sure you put a line over the 1's to signify the repetition. 
Work: You can divide 1 by 9
0 .1
_____
9/ 1 0
9
_____
1
.11 repeating

find the distance between the points:

(1, 3) and (3, -4)

Please explain and show work

Answers

To calculate distance between two points we use the distance formula sqrt((x2−x1)^2+(y2−y1)^2).  

To start, we find the square of the distance between x1 and x2 and y1 and y2.  The distance between x1 and x2, or 1 and 3, is 2. The distance between y1 and y2, or 3 and -4, is 7.

Now we square 2 and 7 and add them together to get 4 + 49 = 53.

The last thing we do to find the distance is take the square root of 53. 53 is not a perfect square and is also a prime number so our answer in simplest form is still sqrt53.

What is the solution to the inequality 2(x + 3) ≥ –10 – 4x? solve step by step, please.

Answers

2(x + 3) > = -10 - 4x...distribute thru the parenthesis
2x + 6 > = -10 - 4x ....add 4x to both sides
2x + 4x + 6 > = -10 - 4x + 4x...simplify
6x + 6 > = -10 ...subtract 6 from both sides
6x + 6 - 6 > = -10 - 6...simplify
6x > = -16...divide both sides by 6
(6/6)x = -16/6
x = - 8/3 <==

What is -1.1 repeating as a fraction

Answers


[tex]Hey \\ There! [/tex]

[tex] \frac{-1.1}{1} ( \frac{10}{10} )\\ \\ -1.1(10) = -11 \\ \\ 1(10)= 10 \\ \\ \\ Fraction: \frac{-11}{10} [/tex] this is also [tex]equal [/tex] to: [tex] -1\frac{1}{10} [/tex]

Your answer would probably be: [tex] \frac{-11}{10} = -1\frac{1}{10} [/tex]

Good luck on your assignment and enjoy your day! 

~[tex]MeIsKaitlyn:)[/tex]

The record high January temperature in Austin,Texas is 90F the record low January temperature is -2 F find the differences between the high and low temperature

Answers

The difference is subtraction, so we do 90-(-2)=90+2=92. If you subtract a negative number, you simply add that number
90-4=96 
the difference s 96 degrees

Can someone plz help me.
Solving Equations

Answers

For number 3 you'll add 5 to both sides and end up with the solution of a = -7
For number 4 you'll do the distribution property and get -4x-8=-40 then you'll add 8 to both sides and then divide by -4 on both sides and end up with the solution of x= 8
You start by trying to get the variable on one side. (Note:whatever you do to one side, you have to do to the other as well).
3. Add 5 on both sides, which will give you a= -7 (don't forget the negative sign)
For question 4 it's a bit different (Note: when you see a number next to a set of parentheses, that means you have to multiply the number by the parentheses AKA Distributive Property)
4. After distributing the -4, you'll get -4x-8=-40...but you're not done quite yet.
Now we have to get rid of the -8, so add 8 to each side, which will give us -4x=-32
Next divide each side by -4(because the number next to x is -4), once you do that, it'll leave you with x= 8 as your final answer.

The total weight of 6 pieces of butter and a bag of sugar is 3.8 lbs. if the weight of the bag of sugar is 1.4lbs, what is the weight of each piece of butter?

Answers

If you subtract 1.4 from 3.8 and then divide by six you get 0.4 lbs/ piece of butter
3.8-1.4=2.4  2.4 divided by 6=0.4

How many ways are there to put 4 balls in 3 boxes if the balls are distinguishable and the boxes are distinguishable?

Answers

13 would be the correct answer
13 is the answer. hope it helped my guy

the charge per mile for a compact rental car is $0.12 she has a budget of $60 for mileage charges. what is the greatest number of miles Miss Rodriguez and travel without going over budget

Answers

$0.12 divided by $60 = 500  your answer is 500 miles

The answer would be 500 miles
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