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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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.
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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find the area of the following rectangle
Answer: x+8
Step-by-step explanation:
13 degree difference?
15 degree difference?
16 degree difference?
17 degree difference?
Answer:
gggggggggggggggvggfggffvvvcvcccccfffcffffffffff
[tex]201[/tex]
Given the proportion a/b=5/19, what ratio completes the equivalent proportion a/5=?
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
a square's area is 3 times its perimeter. Find the dimensions of the square.
Please help me on these :(
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.
Classify the quotient as positive, negative, or zero - 25 ÷ - 5
Answer:
-25÷-5= 5 The quotent is positive.
Step-by-step explanation:
positive+positive=positive
negative+negative= positive
positive+negative=negative
negative+positive=negative
!
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.
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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Find the value of a if y=a/7x + c is parallel to y = 2x - 4
[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 ~
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
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.
Plz help ,me thx you
Answer:
i think it is a or c
Step-by-step explanation:
(x+y,x-y)=(8,0) find the value of x and y
in a sale, a clothes shop reduces its price by 45%.a shirt usually costs $27how much is it on sale?
3y-6 = y+4 solve HELLLLKPPP
(√5+1)²
guys pls help me
[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
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
Answer:
of(x) = (x-7)(x-5)(x - 5)(x + 2)
Step-by-step explanation:
Expand the brackets in this expressions
(2y)²
Answer:
4y²
Step-by-step explanation:
(2y)² = 2²*y² = 2*2*y² = 4y²
What is the slope of this line?
which one is the steepest
A. 1/2
B. 0
C. 3/4
D. 5
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.
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
guys pls help me!!!!!!
Answer:
X would also be 59° due to the Corresponding property.
What is the slope of this line? A line passing through the points (0, 2) & (2, 1).
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
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 ?
Answer:
60%
Step-by-step explanation:
100 ÷ 5 = 20
20 × 3 = 60
60 = 60%
I hope this helps
Need help with this ‘
What is the percent of increase from 25 to 47
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%.
Convert a mark of 72 out of 120 to a mark out of 300
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...
What is the value of x?
x= 12
x = 14
x = 22
x = 24
The answer is x = 12
Select all of the number of ways in which a line
and a circle can intersect.
Answer:
0, 1, and 2
This is the answer
y=3x-1 identify the slope and y-intercerpt
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.
find dy/dx using implicit differentiation
cos x + sin y = 1
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]