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
What dp they mean 2 to the fourth equal 16.
Answers
Answer:
See Below
Step-by-step explanation:
I think you mean 2 the the fourth power, showing 2, with an exponent of 4.
To calculate this, you multiply your base, 2, by itself as many times as the exponent states. Like, 2x2x2x2 because you are multiplying it 4 times by 2.
2x2=4, then 4x2=8, then 8x2= 16.
Hope this helps!
10000+2000003
ghsrhrs
Answers
- BRAINLIEST answerer
Answer: 2010003
Step-by-step explanation: because 10000+2000003= 2010003
Find the slope of each line of the graphs to the right. Which graph has the greater slope? Use pencil and paper. Explain how you know which graph has the greater slope without doing any calculations.
Answers
Answer:
Line 2
Step-by-step explanation:
line one's slope is one and line 2 is 3
Answer:
Line 2/Depending on the steepness of the line and which way it faces, we can easily determine which line has a larger slope - Any line that goes left to right is negative, and the steeper a line is, the more the farther negative/positive slope it has.
Step-by-step explanation:
Depending on the steepness of the line and which way it faces, we can easily determine which line has a larger slope - Any line that goes left to right is negative, and the steeper a line is, the more the farther negative/positive slope it has. The slope of line one is determined from rise over run. When we take the 2 points marked, we can count rise (4) and run (4), so we have 4/4, which is one. For line 2, we can do the same and get 3. Therefore, Line 2 has a greater slope
The cost of dance lessons is $12 for 1 lesson, $22 for 2 lessons, and $32 for 3 lessons. Use a graph to determine whether the cost is proportional to the number of lessons. Explain your reasoning.
Answers
Answer:
it is not proportional. when you graph it, you will see it is not linear.
Step-by-step explanation:
Answer:
not proportional
Step-by-step explanation:
A graph that’s proportional would have to be linear a straight line but that cannot happen since the numbers are proportional
Its constant of proportionality is 12 and 10 so it could not work.
What number has 62 hundreds and 5 tens
Answers
Answer:
6250
Step-by-step explanation:
62 hundreds is the same as 62 X 100 which equals 6200.
5 tens is the same as 5 X 10 which equals 50.
And if we add these together, we get a total of 6250
find the equation with a diameter that has endpoints located at (2,8) and (2,-4)
Answers
Answer:
32.4/-4.6 nearest circumfrence :)
Step-by-step explanation:
hope that was the method you we're trying to use if not please comment so I can redo it , :) have a great day !
Solve for b: A = 1 2 (a + b)h.
Answers
Answer:UwU
Step-by-step explanation:
your amazing and beautiful or handsome or whatever you are comfortable with!:D
Answers
Answer:
1. C
2. E
3. D
4. A
5. B
Step-by-step explanation:
1. It shows that the number of students decrease.
2. It increases more than the breakfast (B)
3. It's on thin line representing the students and workers whom stayed in the cafeteria.
4. It increases showing the same amount of students that entered the other day.
5. The same
Find m<1 and m<2
Help
Answers
Answer:
m<1 = 45
m<2 = 135
Step-by-step explanation:
135 is across from the 135 making m1 135 and 135 plus 45 equals 180, 180 is the total for the line the other 2 angles are on.
PLEASE HELP WITH STEPS 25 POINTS!!!!
Answers
Answer:
[tex]1.75+0.25log_{10}a[/tex]Step-by-step explanation:
Given:
[tex]x =\sqrt{10\sqrt{10a} } /0.1[/tex]Simplify:
[tex]x =\sqrt[4]{10^210a} /0.1[/tex][tex]x =10\sqrt[4]{10^3a}[/tex][tex]x=10^{1+3/4}a^{1/4}[/tex][tex]x=10^{1.75}a^{0.25}[/tex]log both sides:
[tex]log_{10}x=log_{10}(10^{1.75}a^{0.25})[/tex][tex]log_{10}x=log_{10}10^{1.75} +log_{10}a^{0.25}[/tex][tex]log_{10}x=1.75 + 0.25log_{10}a[/tex]Could someone please help me on this equation?
Answers
Answer:
y = (x+2)x7
Step-by-step explanation:
Answer:
y = 7x + 14
Step-by-step explanation:
1. Add 2 to x = x + 2
2. Multiply x + 2 by 7 = 7(x + 2)
3. Simplify: y = 7x + 14
Solve for g.
7 − –3g = 13
g =
Answers
Answer: g=2
Step-by-step explanation:
Remove the parentheses
7- (-3)g=13
Move the constant to the right
7+3g=13
Calculate
3g=13-7
Divide both sides
39=6
Answer:
g=2
What value is added to both sides of the equation x^2 − 6x = 10 in order to solve by completing the square? (1 point)
Group of answer choices
−3
3
6
9
Answers
Answer:
9
Step-by-step explanation:
use half the x coefficent and square it
x^2 − 6x + (-3)^2 = 10 + (-3)^2
x^2 - 6x + 9 = 10 + 9
(x - 3)^2 = 19
Of the 345 7th graders, 40% of them
are in band. How many 7 graders
are in band?
Answers
Then you multiply 10% by 4 to get 40% which is = 138
So first you find 10% which is 34.5
Then you multiply 10% by 4 to get 40% which is = 138s
Yw
solve pls brainliest
Answers
Answer:
neither, neither, terminating, repeating
24+18a=
help i can not get the answer
Answers
A can of crushed tomatoes holds 40 fluid ounces. How can a label designer name the same volume using metric units? Complete the explanation.
The designer can use the ratio 1 fluid ounce ≈ 29.6 milliliters and then multiply:
40 × blank
=
. The designer might decide to convert mL to L and round to the nearest tenth of a liter:
mL ≈
L
Answers
The metric unit of a quantity is simply the unit of measurement of the quantity
The volumes of the crashed tomato cans are 1184 milliliters and 1.184 liters
The volume of the crushed tomato can is given as:
[tex]\mathbf{Volume = 40oz}[/tex]
From the question, we have the following conversion ratio
[tex]\mathbf{1oz \approx 29.6mL}[/tex]
So, the volume in milliliters becomes
[tex]\mathbf{Volume = 40 \times 29.6mL}[/tex]
Multiply
[tex]\mathbf{Volume = 1184mL}[/tex]
To convert the unit to liters, we simply divide the volume by 1000.
So, we have:
[tex]\mathbf{Volume = 1184L \div 1000}[/tex]
[tex]\mathbf{Volume = 1.184L}[/tex]
Hence, the equivalent volumes are 1184 milliliters and 1.184 liters
Read more about metric units at:
https://brainly.com/question/2004114
There are
r red marbles and g green marbles in a bag. When one red marble is removed and one green marble added, the ratio of red to green marbles is now 2:3 .
Subsequently, 6 red marbles and 4 green marbles are added, such that the ratio of red to green marbles is now 3:4.
What is the ratio of r to g? Your ratio must be in its simplest form.
Answers
The ratio of red marbles to green marbles, [tex]r:g=5:7[/tex]
The first sentence about what happens to the bag of marbles;
"When one red marble is removed and one green marble added, the ratio of red to green marbles is now 2:3"
Leads to the fractional equation
[tex]\frac{r-1}{g+1}=\frac{2}{3}[/tex]
After rearranging, we get equation (1) [tex]3r-2g=5[/tex]
The next sentence about what happens to the bag of marbles;
"Subsequently, 6 red marbles and 4 green marbles are added, such that the ratio of red to green marbles is now 3:4"
Leads to the fractional equation
[tex]\frac{r-1+6}{g+1+4}=\frac{3}{4}\implies \frac{r+5}{g+5}=\frac{3}{4}[/tex]
Since the first change to the bag was done without replacement. After rearranging, we get equation (2) [tex]4r-3g=-5[/tex]
So we need to solve the simultaneous equations for [tex]r[/tex] and [tex]g[/tex]
[tex]3r-2g=5\\4r-3g=-5[/tex]
Which gives [tex]r=25[/tex] and [tex]g=35[/tex]
Therefore, the ratio, [tex]r:g=25:35=5:7[/tex]
Another example of ratio word problems can be found in the link below:
https://brainly.com/question/11343888
simply the ratio 3:9
Answers
Answer:
1:3
Step-by-step explanation:
The ratio 3:9
3/9=1/3
=1:3
HELP 10 POINTS + BRAINLIEST Determine the equation of the line shown in the graph:
y=0
x=0
y=5
X=5
Answers
Answer:
y=0
Step-by-step explanation:
the x coordinate is 5 and the y coordinate is 0 because the line does not move up the y axis
Answer:
your question is a little messed up.
the equation for the blue line is x = 5
y=x if you're looking for an equation that satisfies (0,0) and (5,5)
Billy and Michael have 2 lemonade stands. Billy charges $2 per lemonade plus a flat rate of $2.
Michael charges $3 per lemonade plus a flat rate of $1.
How many lemonades would they have to sell to be making the same amount of money?
Answers
2x+2=3x+1
-x+2=1
-x=-1
x=1 lemonade
Which relation is a function?
Answers
The length of a rectangle is five centimeters less than width. Find the dimensions of the
rectangle if its area is 50 cm?
Answers
Answer:
w is 10 and l is 5
Step-by-step explanation:
l=w-5
lw=50
w^2-5w-50=(w-10)(w+5) since the negative solution does not make sense w=10 and therefore l is 5 so the length is 5 while the width is 10
Hailey is putting up a fence in the shape of an isosceles triangle in her
backyard. The fence has side lengths as shown, where x represents the
number of feet in each fence section. The perimeter of the fence can be
covered using 8 total fence sections represented by the expression 8x. If
fencing costs $6.50 a foot, what would be the total cost of the fence?
(2x + 4) ft
(3x + 7) ft
.
(2x + 4) ft
Answers
Answer:
the total cost would be $ 780.00
Step-by-step explanation:
step by step explanation
find two numbers whose sum is 114 and the difference is 58.
(written as an equation please)
Answers
[tex]⇒[/tex]
x + y = 114
x - y = 58
Add the equations downward:
2x + 0y = 172
2x = 172
x = 86
x + y = 114
86 + y = 114
y = 114 - 86
y = 28
Answer: The two numbers are 28 and 86.
Please mark me brainliest
(Pythagorean theorem) find the missing side length. Round to the nearest hundredth (show steps)
Answers
Answer:
The missing length is 10.44
Step-by-step explanation:
a^2 + b^2 = c^2
3^2 + 10^2 = c^2
9 + 100 = c^2
109 = c^2
√c^2 = √109
c = √109
c ≈ 10.440307
c ≈ 10.44
Answer:
10.44
Step-by-step explanation:
Pythagorean theorem equation is a²+b²=c²
3²+10²=c²
9+100=c²........simplify
109=c².............add
√109=c
10.44031
10.44................round to the nearest hundredth
-7/8 divided by 9/8
opl;bgklkgmhglkhnjknjkgnh kjhngkhjngkjhn
Answers
Answer:
77/8
Step-by-step explanation:
How to solve quadratic inequalities.
Answers
Find all the zeros of the polynomial, and arrange the zeros in increasing order. ...
Plot those numbers on the number line as open or closed points based upon the original inequality symbol.
Choose a test value in each interval to see if the interval satisfies the inequality or not.
Juan joins a movie club. He pays $10 to join and each movie costs $5. Which equation represents the relationship between the total cost, y, and the number of movies, x?
Answers
write an equation in
Slope-int form
m=9, b=4
Answers
Answer:
y=9x+4
Step-by-step explanation:
9 is the slope and 4 is the y-intercept, or the "b"