Answers
Step-by-step explanation:
a scale factor means that every dimension or line in the original object is multiplied with the exact same factor to create a transformed (larger or smaller) new object.
the area of an object (including a simple form like this rectangle) is always the product of 2 dimensions.
that means the scale factor is multiplied in twice creating a squared factor for the area of the new object.
so, yes, therefore the area grows or shrinks with the square of the scale factor.
FYI - following the same reason, the volume grows or shrinks with the power of 3 of the scale factor.
1. k=2
new area = k² × old area = 4 × 12 = 48 square units.
2. k=5
new area = k² × old area = 25 × 12 = 300 square units.
3. k=1
new area = k² × old area = 1 × 12 = 12 square units.
4. k=1/4
new area = k² × old area = 1/16 × 12 = 12/16 = 3/4 square units.
5. k=1.2
new area = k² × old area = (1.2)² × 12 = (12/10)² × 12 = (6/5)² × 12 = 36/25 × 12 or 1.44 × 12 = 432/25 = 17.28 square units.
Related Questions
(High School Geometry) What is the minimum number of regions that are formed by 100 distinct lines in a plane? What is the maximum number of regions formed by 100 lines in the plane?
Answers
Answer:
101 - min, 5051 - maxStep-by-step explanation:
Minimum number of regions
You may have 100 parallel lines. This will give us 101 regions
Use following formula to find the maximum possible number of regions:
R(n) = 1 + n(n + 1)/2, where n is the number of linesR(100) = 1 + 100*101/2 = 5051How to calculate the surface area of a football.
Answers
Answer:
A football is a sphere, so the formula for calculating its surface area is 4πr²
Hope it helps:)
For every 30 minutes she dances, Nell stretches for 10 minutes. What is the ratio value of the time Nell dances to the
time she stretches?
3
10
10/30
30
Pls answer correct
Answers
Answer:
30
Step-by-step explanation:
Answer:
A. 3Step-by-step explanation:
For every 30 minutes she dances, Nell stretches for 10 minutes
Ratio:
Dance / Stretch = 30 min / 10 min = 3/1 = 3Find the length x.
2
4
5
X
Answers
Answer:
2.5
Step-by-step explanation:
5/4 = x/2
yeah-ya... right
Find the slope of the line that passes through the point (-3,20), (12,15)
Answers
I NEED THE ANSWR ASAP: Write the number as a power with a base of 5.
125^3
Answers
Answer:
5^9
Step-by-step explanation:
I had this question before.
A manufacturer produces cell phone she estimates that by selling them for x dollars she will be able to sell them for 285 minus 2X each week determine what the maximum revenue will be round your answer to two decimal places
Answers
Answer:
38.30
Step-by-step explanation:
because 230 -6x=0
A car moves at a speed of 45 km/h for 20 minutes. what is the distance traveled by the car ?
don't ya ans if u don't know
no plagiarism and spams
need a well explained ans
Answers
Speed of car
[tex]45 \frac{km}{h} [/tex]Time : 20 min [tex] \frac{20}{60} h[/tex][tex] \frac{1}{3} h[/tex]We have , speed [tex] = > \: \frac{distance}{time} [/tex]:. Distance [tex] = > \: speed \: \times \: time \\ = > \: 45 \frac{km}{h} \: \: \times \frac{1}{3} h \: \: \\ = > 15 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]Hence , the distance covered by the car is 15 kmparallel to y = 1/5x-4 and goes through (10,-2) in point slope form
Answers
Answer:
y + 2 = [tex]\frac{1}{5}[/tex] (x - 10)
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{5}[/tex] x - 4 ← is in slope- intercept form
with slope m = [tex]\frac{1}{5}[/tex]
Parallel lines have equal slopes
The equation of a line in point- slope form is
y - b = m(x - a)
Here (a, b ) = (10, - 2 ) , then
y - (- 2) = [tex]\frac{1}{5}[/tex](x - 10) , that is
y + 2 = [tex]\frac{1}{5}[/tex](x - 10) ← in point- slope form
a drink in japan costs 374 yen. The exchange rate is £1 = 189 yen. What is the cost in pounds
Answers
Answer:
Roughly £2
Step-by-step explanation:
multiply the echange rate by 2 , its 378Yen
The kids sell all the bags pf brownies for $2 each. How much money could they make from the Brownie sale?
Answers
Answer:
212
Step-by-step explanation:
106 x 2= 212
Answer:
ok so when there is 106 bags of brownies there is two ways that u can do this that i can think of so u can do 106 + 106 which= 212 or 106 x 2 = 212 this one was pretty easy u got this feel free to ask more questions!
Step-by-step explanation:
I’m not sure how to answer this in a Graph, Diagram, and Algebra(algebraic reasoning too) for a,b,c, and d. Can someone please help me?
Answers
The outline that that illustrate how k values change so that the solutions are the ones in the question are as follows
(a) The number line solution contains zero
Using algebra, we have;
The given quadratic inequality is; -x² + 4 ≥ x + k
The number line solution is the expression of the solution on the number line.
We have;
-x² + 4 ≥ x + k
-x² - x + 4 - k ≥ 0
Dividing by (-1), we get;
x² + x - 4 + k ≤ 0
When - 4 + k = -2
k = 2, we get;
x² + x - 4 + 2 ≤ 0
x² + x - 2 ≤ 0
(x - 1)·(x + 2) ≤ 0
Given that the result of the product is less than zero, we have;
((-3) - 1)·((-3) + 2) > 0
Therefore, the solution are;
x ≤ 1, or x ≥ -2
Which gives
-2 ≤ x ≤ 1
Using diagram;The solution of the above inequality includes 0 as shown in the attached number line
Graphically;The graph of the inequality is plotted using MS Excel, showing the solution set, of -2 ≤ x ≤ 1
(b) There are no solution to the inequality
In the present case, we have;
((-1)² - 4×(-1) × (4 - k) < 0
17 - 4·k < 0
[tex]k > \dfrac{17}{4}[/tex]
Let k = 5, we have;
-x² + 4 ≥ x + k
-x² - x + 4 - 5 ≥ 0
-x² - x -1 ≥ 0
The discriminant, is (1² - 4×(-1)×(-1)) = -3 < 0, therefore, there are no real
roots to inequality, and -x² - x -1 is not equal to zero.
GraphicallyPlease find attached the graph of the function, which does not intersect with the x-axis, and therefore, has no values at which y = 0
(c) The solution is a single number
-x² + 4 ≥ x + k
When k = x + 5, we have;
0 ≥ x² + 2·x + 1
0 ≥ (x + 1)²
Therefore;
The only solution is; x = -1
Using diagrams:
Please find attached the solution of the function on the number line
GraphicallyThe graph of the function showing only one intercept is attached
Learn more here:
https://brainly.com/question/11982012
Maria scar' gets 28 miles to the gallon. How many miles is her round trip to work
Answers
Umm is this right or wrong and if it's wrong can you tell me the right answer?
Answers
Answer:
30
Step-by-step explanation:
d=√(24²+18²)=6√(4²+3²)=6√(16+9)=6√(25)=6×5=30
BRAINLIEST
Solve for X. Round to the nearest tenth.
Answers
Step-by-step explanation:
2 things to remember for problems like this :
the sum of all angles in a triangle is always 180 degrees.
the law of sines :
a/sin(A) = b/sin(B) = c/sin(C) or upside-down (whatever fuss the situation better), with the sides being always opposite of the angles.
so, now for the given problems :
4.
x/sin(90) = 12/sin(29)
x/1 = x = 12/sin(29) = 24.75198408...
rounded x = 24.8
5.
the opposite angle of x is
180 - 90 - 16 = 74 degrees.
x/sin(74) = 37/sin(90) = 37
x = 37×sin(74) = 35.56668275...
rounded x = 35.6
6.
the opposite angle of x is
180 - 90 - 58 = 32 degrees.
x/sin(32) = 22/sin(58)
x = 22×sin(32)/sin(58) = 13.74712574...
rounded x = 13.7
7.
the opposite angle of 15 is
180 - 90 - 51 = 39 degrees.
x/sin(51) = 15/sin(39)
x = 15×sin(51)/sin(39) = 18.52345735...
rounded x = 18.5
A school of salmon was swimming in the river 5 feet below the surface. To escape a hungry bear, they went down another 3 feet.
What is the position of the salmon now relative to the surface?
Answers
Answer:
8 feet
Step-by-step explanation:
5 + 3 = 8
Answer:
Step-by-step explanation: The school of salmon are now 8 feet below the surface. They start at -5 feet and then you subtract 3 more feet which gives you -8 feet. -5-3=8
When finding a critical T value for 95% confidence and a sample size of 30, how many degrees of freedom are there?
Answers
Answer:
29
Step-by-step explanation:
The formula for calculating degrees of freedom in a t-test is n-1 where n is the sample size. Therefore, there are 30-1=29 degrees of freedom if the sample size is n=30.
ne ajudemmmm pfvvv ...
Answers
Answer:
NEED TRANSLATOR
Step-by-step explanation:
ENGLISH PLEASE
Model with Two-Step Inequalities: Quiz! (ONLY 4 QUESTIONS PLS DONT PUT LINK :< )
Q1. A hot-air balloon is 1000 feet off the ground and its altitude is slowly changing at a constant rate of −412 feet per second.
How many seconds, s, will it take for the balloon to drop to below 215 feet?
Drag and drop a symbol and value to correctly complete the solution to this inequality.
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QUESTION 2. For an experiment, the temperature of a liquid must stay above 60.4°F. The starting temperature of the liquid is 90.7°F. It is placed in a cooler, which lowers its temperature 3°F each minute.
How many minutes can the liquid can stay in the cooler?
Select from the drop-down menus to correctly complete the statement.
The liquid can stay in the cooler _______ minutes.
Choose..."At most 10.1", "More then 10.1", "At least 10.1" or "Fewer than 10.1"
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QUESTION 3. A gopher lives in an underground burrow. It starts at a certain point, p, underground and digs straight down to triple its distance under the surface. It then climbs straight down another 2 feet. Its final position is deeper than 8 feet under the surface.
What was the gopher's original position, p, relative to the surface?
Enter your answer to complete the inequality.
p__
-----------------------------------------------------------------------------------------------------------
Q4. Robbie is going shopping. He has no more than $65.00 to spend. He wants to buy a pair of shoes for $21.95 and some shirts that cost $10.50 each.
Which inequality can Robbie use to determine how many shirts, s, he can buy?
_-------------------------------------------------------------------------------------------------------------------_
YAY YOU MADE IT! Thanks if you actually answered correctly...you really made my day! :)) Sending virtual hugs your way! And here is 50 points for completing my quiz you smart and mighty warrior! <3 <3 <3 Bye!
Answers
Answer:
For an experiment, the temperature of a liquid must stay above 60.4°F. The starting temperature of the liquid is 90.7°F. It is placed in a cooler, which lowers its temperature 3°F each minute.
How many minutes can the liquid can stay in the cooler?
Select from the drop-down menus to correctly complete the statement.
The liquid can stay in the cooler fewer than 10.1 minutes.
Step-by-step explanation:
Find the area of triangle PQR.
Answers
Answer:
70°
Step-by-step explanation:
Since PTS shape is equal to QTR
and PTQ shape is equal to STR
and Since QTP = 10
and Since PTS = 60
Add both up 70
Therefore PQR = 70°
Graph: y < 1/3x+1/2 plot this on a graph
Answers
it's was helpful to you dear ❤️❤️❤️
Answer:
Plot (0.5, 1.5) on the graph.
Which point is a solution to the inequality? (3, 1/2)
Step-by-step explanation:
i really need help i don’t get this at ALL. :(
Answers
Step-by-step explanation:
You have to go to Y axis first then to X. For example : (4,5) go up 4 and go to x axis and when u get to 5 you put a dot. The same thing if is (-4,-5) go down 4 and to the left 5 and mark a dot. When you mark the dot put (_,_).
Hope you understand. Let me know if you don't.
I have stopped going to school due to my mental break downs because of school so my teachers started sending me my work i have missed but the only thing i was not at school to learn how to do it so please help me....!!
Answers
Answer:
1. C.
2. A.
3. B.
i just know those im sorry-
Answer:
1 - c 6.4 ×10^6
2 - a 6.4 ×10
3- b 6.04 ×10^5
4) 5.21× 10^8 × 1.6km
=8.33×10^8 km
5) 10,000,000,000 = 1 ×10^10
BRAINLIST PLS
Help please ASAP !
Answers
It should be PR=XZ.
identify an equation in point-slope form for the line perpendicular to y = 2x + 8 that passes through (-3,9)
Answers
Answer:
y - 9 = m(x + 3)
Step-by-step explanation:
Given a line whose slope is m, the slope of a new line that is perpendicular to the given line is the negative reciprocal of m: -1/m
Given y = 2x + 8, we see that the slope is 2 and figure that the negative reciprocal of that is -1/2. This is the slope of the desired perpendicular line.
We can write the equation of this perpendicular line most easily by using the point-slope form y - k = m(x - h), where (h, k) represents the point:
y - 9 = m(x + 3)
Use the exchange rate £1 = €1.13 to convert €339 into £.
Answers
Answer:
the answer is £300.
..........
Answer:
383.07
Step-by-step explanation:
All the info
£1 = €1.13 What are we trying to do? Turn €339 into £.
Therefore 339 X 0.13=44.07 So 44.07+339=£383.07 making £383.07 the exchanged sum
What is the common difference for this arithmetic sequence 45,40,35,30,25,
Answers
Answer:
-5
Step-by-step explanation:
y=6x-5 convert the equation to standard form
Answers
Answer:
Add 6x to both sides.
y + 6x = -5
Reorder the left side so that the x term is first.
6x + y = -5
:)
What is the solution to the system of equations?y = a system of equations. Y equals startfraction one-third endfraction minus 10. 2 x plus y equals 4. X – 102x y = 4(–8, 6)(–6, 16)(6, –8)(16, –6).
Answers
Answer: C
Step-by-step explanation:
What can you multiply by to find:
50% of a number?
10% of a number?
75% of a number?
Answers
Answer:
50% is 0.5
10% is 0.1
75% is 0.75
Step-by-step explanation:
When multiplying to find the percent of a number, you make it a decimal by dividing it by 100.