The perimeter of an equilateral triangle is 12 inches. After a dilation, the
perimeter of the image is 42 inches. What is the scale factor of the dilation?

Answers

Answer 1

Based on the change in the perimeter, the scale factor of the dilation is 3.5.

The scale factor of the dilation refers to the number of times the triangle was dilated such that it went from 12 inches to 42 inches.

This dilation can be found as:

= Increased perimeter / Original perimeter

Solving for it would give:

= 42 / 12

= 3.5

In conclusion, the scale factor of the dilation is 3.5.

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Related Questions

3y-6 = y+4 solve HELLLLKPPP

Answers

so first -y which is 2y-6= 4 so then +6 which makes 2y = 10 then divide by 2 which gives y = 5

Plz help ,me thx you

Answers

Answer:

i think it is a or c

Step-by-step explanation:

Convert a mark of 72 out of 120 to a mark out of 300

Answers

Answer:

180 out of 300

Step-by-step explanation:

Basically,

300÷120=2.5

Thereof,

72×2.5=180.

Hope this helps!

tag brainliest please...

(√5+1)²
guys pls help me

Answers

[tex]( \sqrt{5} + 1 {)}^{2} \\ calculate \\ \\ 5 + 2 \sqrt{5} + 1 \ \\ \\ = 6 + 2 \sqrt{5} \\ \\ in \: \: alternate \: \: form \: \\ \\ 10.47214 \\ \\ hope \: it \: \: helps \\ \\ [/tex]

Step-by-step explanation:

Here is your answer . The logic I have shared above to solve this equation

Given the proportion a/b=5/19, what ratio completes the equivalent proportion a/5=?

Answers

Answer:

[tex]\frac{b}{19}[/tex]

Step-by-step explanation:

If you cross-multiply in the first proportion you get 19a = 5b

To keep this, if we have a/5, we need b/19 to cross-multiply and still get 19a = 5b

!

Darren is training for a triathlon. Each week, he goes to the gym for a maximum of 20 hours. He spends at least 8 of those hours weightlifting (x). He wants to spend no more than 15 hours doing cardio exercises (y). Write a system of linear inequalities that represents the restrictions of this scenario.

Answers

The graph of the equations was plotted using geogebra graphing and attached.

Let x represent the hours weightlifting and y represent the hours doing cardio exercises.

Since he spend a maximum of 20 hours, hence:

x + y ≤ 20   (1)

Also, he spends at least 8 of those hours weightlifting, hence:

x ≥ 8          (2)

He wants to spend no more than 15 hours doing cardio exercises, this is:

y ≤ 15     (3)

The graph of the equations was plotted using geogebra graphing and attached.

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What is the slope of this line? A line passing through the points (0, 2) & (2, 1).

Answers

Answer:

m = − 1/2

Step-by-step explanation:

Use the formula to calculate the slope of the line passing through the points.

slope = (y₂ - y₁) / (x₂ - x₁)

Input the values into the formula.

Subtract the values in parentheses.

Simplify the fraction to get the slope.

Answer: y = -1/2x +2

What is the percent of increase from 25 to 47

Answers

Answer:

From 25 to 47 is an increase of 88%.

Step-by-step explanation:

From 25 to 47 is an increase (jump) of 22.  Write the ratio 22/25 and then multiply the result by 100%:

(22/25)*100% = 0.88(100%) = 88%

From 25 to 47 is an increase of 88%.

The circular top of a clay pot has a diameter of 14 centimeters . What is the circumference of the pot's circular top ? Use 3.14 for π

Answers

Answer:

Circumference formula is πr². while we do not have the radius, you do have the diameter, the diameter is the full length of the circle while the radius is half of the circle. So you take 14/2=7 so the new equation is π7² so you would do 7x7 to get 49, then you would do 49 x 3.14 and you'll have 153.86 Centimeters². You'll need to double check this but I hope this helped.

Classify the quotient as​ positive, negative,​ or zero - 25 ÷ - 5

Answers

Answer:

-25÷-5= 5 The quotent is positive.

Step-by-step explanation:

positive+positive=positive

negative+negative= positive

positive+negative=negative

negative+positive=negative

13 degree difference?

15 degree difference?

16 degree difference?

17 degree difference?

Answers

Answer:

gggggggggggggggvggfggffvvvcvcccccfffcffffffffff

[tex]201[/tex]

(x+y,x-y)=(8,0) find the value of x and y​

Answers

x=8 y=0 there’s your answer

What is the slope of this line?

Answers

Answer: 1/3 kkkkkkkkkkkkkkkkkkkkkkkkkk

Need help with this ‘

Answers

(-infinity , -8) and (0, infinity)

y=3x-1 identify the slope and y-intercerpt

Answers

Answer:

Step-by-step explanation:

y = 3x - 1

whatever is in front of the x is the slope. It has to be a number of some kind. I don't think complex numbers count, but don't quote me on that.

The y intercept is the number on the right that is not associated with x. In this case it is - 1.

Please help me on these :(

Answers

Step-by-step explanation:

8) 125=x+90° (exterior angle= sum of two opposite interior angle)

x= 35°

9) y=80° ( vertically opposite angle)

x= 180-50-80= 50°.

hope this helps you.


What is the value of x?
x= 12
x = 14
x = 22
x = 24

Answers

The answer is x = 12

Expand the brackets in this expressions
(2y)²

Answers

Answer:

4y²

Step-by-step explanation:

(2y)² = 2²*y² = 2*2*y² = 4y²

in a sale, a clothes shop reduces its price by 45%.a shirt usually costs $27how much is it on sale?

Answers

it cost $14.85 because 27x0.45=12.15
27.00
-12.15= 14.85

Select all of the number of ways in which a line
and a circle can intersect.

Answers

Answer:

0, 1, and 2

This is the answer

Sksnsjak e oe s 15 shsbsbs
S
S
S



S
S
S
Sms
S

which one is the steepest
A. 1/2
B. 0
C. 3/4
D. 5

Answers

Answer:

3/4

Step-by-step explanation:

Remember: rise/run, where rise is the vertical line and run is the horizontal. To calculate for 5, the rise must be 5x the run (e.g. 25/5). 0 is a horizontal line, since it has no y-axis. Then draw all your lines on a graph. The steepest slope will be 3/4.

Answer:  D) 5

Explanation:

Assuming those given answer choices represent slope values, the steepest slope is the number furthest from 0 on the number line. In other words, it will have the largest absolute value.

In this case, the steepest slope is 5 since this value is furthest from 0 of the other answer choices.

I am confused if someone could explain this it would be greatly appreciated

Answers

the question is asking for a point at which the two values would intersect, so i think that it is looking for a solution. in this case, i would solve the equations: y=0.15x+19 and y=0.19x.
the point of intersection for these equations is (475, 90.25). you are looking for the x value, so the answer would be 425 minutes of calling for the two plans’ costs to be equal.

find dy/dx using implicit differentiation
cos x + sin y = 1

Answers

Differentiate both sides with respect to x, using the chain rule for the sine term:

[tex]\cos(x) + \sin(y) = 1[/tex]

[tex]\implies -\sin(x) + \cos(y)\dfrac{\mathrm dy}{\mathrm dx} = 0[/tex]

Solve for dy/dx :

[tex]-\sin(x) + \cos(y)\dfrac{\mathrm dy}{\mathrm dx} = 0 \\\\ \cos(y) \dfrac{\mathrm dy}{\mathrm dx} = \sin(x) \\\\ \boxed{\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{\sin(x)}{\cos(y)}}[/tex]

a square's area is 3 times its perimeter. Find the dimensions of the square.

Answers

Answer:

length = 6

width = 6

height = 6

Step-by-step explanation:

Area of the square = 6 * 6

Area of the square = 36

The perimeter = 6 + 6

The perimeter = 12

so 36 is 3 times bigger than 12


Hilary put 5 items on his birthday wish list. He received 3 of the items for his birthday. What percent of the
items did Hilary receive ?

Answers

Answer:

60%

Step-by-step explanation:

100 ÷ 5 = 20

20 × 3 = 60

60 = 60%

I hope this helps

find the area of the following rectangle​

Answers

Answer: x+8

Step-by-step explanation:

Find the value of a if y=a/7x + c is parallel to y = 2x - 4

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Value of a is :

[tex]14[/tex]

[tex] \large \boxed{ \mathfrak{Explanation}}[/tex]

Please refer to attachment for the solution ~

Which polynomial function has a leading coefficient of 1, roots -2 and 7 with multiplicity 1, and root 5 with
multiplicity 2?
Of(x) = 2(x + 7)(x + 5)(x - 2)
Of(x) = 2(x-7)(x - 5)(x + 2)
Of(x) = (x + 7)(x + 5)(x + 5)(x - 2)
of(x) = (x-7)(x-5)(x - 5)(x + 2)
Mark this and return
Save and Exit
Next
Sb

Answers

Answer:

of(x) = (x-7)(x-5)(x - 5)(x + 2)

Step-by-step explanation:

guys pls help me!!!!!!

Answers

Answer:

X would also be 59° due to the Corresponding property.

Maximilian is cleaning shrimp. He cleans 4 shrimp every minute. Use time in minutes as the independent quantity and the number of shrimp as the dependent quantity.
A. Is the relationship proportional or non-proportional? Explain how you can determine this using a graph and equation.
B. Identify the unit rate of this relationship. Explain what the unit rate means in terms of the situation.
C. Write an equation that determines the number of shrimp cleaned at any given time.
D. Create a graph of the relationship.

Answers

Relationship Equation between time and shrimps cleaned : S = 4T; Relationship is inversely proportional; Unit rate of change = 4

Given : 4 Shrimps cleaned every minute.

So, Shrimps cleaned 'S' = 4 times minutes taken 'T' ; S = 4T

The relationship between variables is proportional, as the dependent variable (shrimps) is constant multiples times the independent variable (time), & their ratio remains constant.

It is directly proportional, as both variables (shrimps & time)  move in same direction. One variable increase or decrease, other variable same respectively. Graph in this case is upward sloping curve from origin, because of  direct proportional relationship respectively.

Unit rate of change denotes constant magnitude of change in a variable with other variable. It is 4 in this case, as time increases the shrimps.

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