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
Can you give 50 cent in 8 dollars to 17 people
Answers
D) No, you are too afraid of sharks to even attempt the dive!
8) You are interested in retrieving a souvenir from a shipwreck located 115 feet below the water. You
do not have diving equipment, so your dive is limited by the equation y=0.05x2 - 4x – 38
Assumming you are able to retrieve your souvenir, how long do you have to hold your breath until
you resurface?
A) almost 90 seconds B) 38 seconds
C) almost 2 minutes D) a minute and 10 seconds
Answers
Answer:
B. 38 seconds
does anyone like math in this world?
Answers
Answer:
i mean math is my second favorite subject
Step-by-step explanation:
Is the equation y + 1 = 5(x + 3) in point-slope form? Justify your answer.
Answers
Answer:
The given equation is in point-slope form. The slope is 5 and is seen on the right side before the parentheses. The point is (-3, -1).
Hope this helps! :)
Answer:
Yes
Step-by-step explanation:
The equation y + 1 = 5(x + 3) is in point slope form. Point slope form is y - y1 = m(x - x1). In the given equation the point would be (-3, -1) with a slope of 5.
use the GCF to factor 16+6
Answers
Answer:
2 x (8 + 3)
Step-by-step explanation:
b) 16 + 6 = 2 x (8 + 3)
=> 22 = 2(11)
=> 22 = 22
Therefore, 2 x (8 + 3) is your answer.
help
any tips on adding/multiplying fractions?
Answers
Make sure bottom numbers are the same
(denominators)
Add the top numbers (numerators) put the answer over the denominator
Simplify fraction (if possible)
Answer:
sure!
Step-by-step explanation:
if you're just wondering How to, then here you are. in order to add fractions, you first must make sure your two fractions in the equation have like denominators (if youre unsure, the bottom number in a fraction), so they just need to be the same before you can add them. Take 1/2 + 2/3 for example, both 2 and 3 can go into 6, so you can make them both fractions of 6. in order to change the bottom part of the fraction, you need to change the top part too. in the case of 1/2, you will multiply the 2 by 3, so also multiply the 1 by 3. then you have 3/6. for 2/3 you will multiply the 3 by 2, so you must also multiply the 2 by 2, you will get 4/6. Now we have 3/6 + 4/6. Do not change the denominator and simply add across the top. Now you'll have 7/6, or 1 1/6. Multiplying fractions is much much simpler. The denominators don't need to be the same, so you just multiply straight across. Multiply first numerator by second numerator, and first denominator by second denominator. using the 1/2 and 2/3 example again, you have 1/2 * 2/3. so you'll first multiply 1 * 2, and make that the numerator. You have 2/-. Then the same with the denominator, 2 * 3, giving you 2/6. (Or, you can simplify to 1/3.) hope this helps, let me know if you have more questions. :)
how many times does 15 go into 142 please no links thank you 71 points
Answers
Explanation
How to calculate the median of a large data set.
Answers
Answer:
The first is organize your data set and after that determinate if the length (the total data) is odd or even dependent of that find the middle value. This is the traditional algorithm for find the median of whatever data set.
Step-by-step explanation:
Organize the data set (ascending or descending order)Determine if the total number of data is odd or evenif is odd use the next formula for find the middle value [tex]X[\frac{n}{2} ][/tex] where [tex]X[/tex] is the data set and [tex]n[/tex] the number of data.if is even use the next formula for find the middle value [tex]\frac{X[\frac{n-1}{2}] + X[\frac{n+1}{2}] }{2}[/tex] in this case you take both middle values and get it's mean.please help 7th grade math
Answers
Answer: 3.9
Step-by-step explanation: calculator
1. 39 divided by 4 divided by 2.50
The sum of the squares of two numbers is 202 the difference of the numbers is -2 both numbers are positive find the numbers
Answers
Answer: a2 + b2 = 202
Step-by-step explanation: Since they are consecutive odd integers, then we can just divide 202 by 2, square root it, then round to the nearest two odd integers. In this case, 202 / 2 = 101 ⇒ 1010.5 ≈ 10.04. The two nearest odd integers are 9 and 11. We can verify that this is the pair: 92 + 112 = 81 + 121 = 202.
Answer:
[tex]\left \{ {x-y=-2\atop {x^2+y^2=202[/tex] ⇔ [tex]\left \{ {{y=11} \atop {x=9}} \right.[/tex]
Step-by-step explanation:
Help needed! Please and thanks
Answers
Answer:
8.125 inches
Step-by-step explanation:
Ok so basically what you needed to do was this
Find out what was the value like this 3 1/4 = 3.25 and 2 1/2 = 2.5
Then you will do
3.25 x 2.5 and get your answer
8.125
There you go! Have a Wonderful Day
A 10 person swim team goes out to breakfast and orders 30
cinnamon rolls. If all members of the swim team came in for
breakfast, how many rolls would each person get?
(Please give me a variable and do it like this attachment photo shows!)
Answers
3
Step-by-step explanation:
30÷10 to know how many each person has.God loves you
Need help answering this question, and 4 others that are on my page. Giving Points and Brainiest.
Answers
h(x) = -4
Step-by-step explanation:
Simple. Plugging this into the equation will give us:
h(x) = -14 -(-40)/4 = -14+10
h(x)= -4
Round 2,861 to the nearest hundred
Answers
hope this helps
Hey there!
2,891
= 200,000 + 800 + 90 + 01
= two-hundred thousand, eight hundred ninety one
Thousand:
2,000
Hundred:
900
Tens:
90
Ones:
1
Based on that information we can answer your question
SIMPLIFY IT
ANSWER: 2,900
[2,000 + 900 + 0 + 0]
[two thousand + nine hundred]
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Given f(x) = 5x + 2 and g(x) = 5x - x5X What is the value of (f 9)(1)?
Answers
Answer:
the answer is 5×9+2=47
Step-by-step explanation:
the answer is 47
P = y² + 2z find the value of P if y = 3 and z = -4
Answers
Answer:
[tex]P = {y}^{2} + 2z \\ = {3}^{2} + 2( - 4) \\ = 9 - 8 \\ \color{red} \boxed{P =1}[/tex]
Answer:
P = 1
Step-by-step explanation:
P = [tex]y^{2}[/tex] + 2 (-4)
P= [tex]3^{2}[/tex] + -8
P = 9 + -8
P = 1
Hope this helps!
find the mode of the following set data
3, 10, 36, 26, 19, 2, 2, 40
Answers
Answer:
2
Step-by-step explanation:
it is the only number that occurs more than once
Please help it’s so hard for me
Answers
Answer:
Answer is d
Step-by-step explanation:
halfway between -20 and 10
Answers
Answer:
[tex]-5[/tex]
Step-by-step explanation:
Add the two numbers and divide by 2, [tex]-20 + 10 = -10[/tex], [tex]-10 /2 = -5[/tex]
Choose the graph of the inequality's solution. -4x + 8 > 12
Answers
Answer:
[tex]x < - 1[/tex]
You should have a circle on -1 with the arrow going left
Step-by-step explanation:
Subtract 8 from both sides.
[tex] - 4x + 8 > 12 \\ - 8 \: \: \: \: - 8[/tex]
[tex] - 4x > 4[/tex]
Divide by -4
[tex] \frac{ - 4x}{ - 4} > \frac{4}{ - 4} [/tex]
Since you are dividing by a negative, you need to flip the inequality.
[tex]x < - 1[/tex]
what is the perimeter of a pool that is 30 meters long and 18 meters wide?
Answers
Answer:
Step-by-step explanation:
Perimeter=2(length+widht)
Given values:
length=30 m
width=18 m
Substitute values in formula:
Perimeter=2(20+18) m
Perimeter=2(38) m
Perimeter= 76 m
If you need to ask any questions, please let me know.
Aroha is 3 years older than her brother. The sum of Aroha's age and her brother's age is 31. Write and solve and equation to find their ages
Answers
Answer:
Therefore, Aroha is 17 yrs old and her brother is 14 yrs old.
Step-by-step explanation:
Let's represent Aroha's brother's Agee with the letter "b" yrs old.
If Aroha is 3yrs older than her brother, she's : (b+3) yrs old.
The sum of their ages is 31,
b+(b+3)=31
2b+3=31
Collect like terms,
2b=31-3
2b=28
Divide both sides by 2,
b=14
b+3=17
A cheerful teen hoping this helps,
stay techy, brilliant and positive!
Help meeeeeeeeeeeeee asapppp
Answers
What is the area of this tile?
Answers
Answer:
Area: 9 in.²
Step-by-step explanation:
Area of square: side²
=> Area of Square tile: 3²
=> 9 in.²
Hoped this helped.
Answer:
9
Step-by-step explanation:
To find the area of a square, multiply both sides.
3*3=9
Help me help help help help help
Answers
Answer:
d) 500 scoops
Step-by-step explanation:
looking at the trend of scoops sold per year, 500 seems to be the correct answer. let me know if this is wrong.
Answer:
D
Step-by-step explanation:
Since each 2 years it goes up. A and B is incorerect. The answer has to be 402-597 so the only logically asnwer is D
pls tell if this helps
Rene’s driveway is a rectangle 45 feet long by 20 feet wide. What is the area of the driveway?
Answers
Answer:
25 this is a write answer
On a coordinate plane, parallelogram P Q R S is shown. Point P is at (negative 2, 5), point Q is at (2, 1), point R is at (1, negative 2), and point S is at (negative 3, 2). In the diagram, SR = 4 StartRoot 2 EndRoot and QR = StartRoot 10 EndRoot. What is the perimeter of parallelogram PQRS?
Answers
Answer:
B
Step-by-step explanation:
jus belive me
The perimeter of parallelogram PQRS will be 8√2 + 2√10 units.
What is a parallelogram?It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.
On a coordinate plane, parallelogram PQRS is shown.
Point P is at (-2, 5), point Q is at (2, 1), point R is at (1, -2), and point S is at (-3, 2).
In the diagram, SR = 4√2 and QR = √10.
We know SR = PQ and RQ = SP
Then the perimeter of the parallelogram is the sum of all sides.
P = PQ + QR + RS + SP
P = 4√2 + √10 + 4√2 + √10
P = 8√2 + 2√10
Then the perimeter of parallelogram PQRS will be 8√2 + 2√10 units.
More about the parallelogram link is given below.
https://brainly.com/question/1563728
#SPJ6
Which set of ordered pairs (x,y)(x,y) could represent a linear function?
Answers
Tell me if you want me to explain!
Hope this helped!! :)
Decompose and use the distributive property to find the product of 5 × 7.3. 35.0 36.5 35.5 31.5 PLEASE HELP PLEASE T^T
Answers
Answer:
The answer is 36.5
Step-by-step explanation:
The slope of the line formed between point A and point C on the graph is 2/3
What is the slope of the line formed between point C and point E?
Answers
Answer:
B. 1/2
Step-by-step explanation:
i think
