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
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.
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:
What is the common difference for this arithmetic sequence 45,40,35,30,25,
Answers
Answer:
-5
Step-by-step explanation:
parallel 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
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°
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.
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
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
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
:)
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.
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
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
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 kmA 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
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:
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
Help please ASAP !
Answers
It should be PR=XZ.
Maria scar' gets 28 miles to the gallon. How many miles is her round trip to work
Answers
ne ajudemmmm pfvvv ...
Answers
Answer:
NEED TRANSLATOR
Step-by-step explanation:
ENGLISH PLEASE
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
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:
(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:)
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)
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
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__
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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?
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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:
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
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.