What are a) the ratio of the perimeters and b) the ratio of the area of the larger figure to the smaller figure?
Answers
Answer:
Suppose that we have two similar figures.
Then if a given side of one of the figures has a measure M, the correspondent side in the other figure has a measure M' = k*M
Where k is the scale factor.
Then if the perimeter of the first figure is P, the perimeter of the other figure will be P' = k*P
And if the area of the first figure is A, then the area of the other figure will be:
A' = k^2*A
Then the quotient between the perimeters is:
P'/P = k
And the ratio between the areas is
A'/A = k^2
So what we need to do, is find the value k.
In the image, we can see that the base of the larger figure is 30 yd, and the base of the smaller figure is 12 yd.
If we define the smaller figure as the original one, then we will have:
M = 12 yd
M' = 30 yd
M' = 30yd = k*12yd = k*M
Solving for k we get:
k = 30yd/12yd = 2.5
Then the ratio between the perimeters is:
P'/P = k = 2.5
And the ratio of the area of the larger figure (A') to the smaller figure (A) is:
A'/A = k^2 = (2.5)^2 = 6.25
Related Questions
In chapter 1, we introduced several sampling methods: Simple random sample, stratified sampling, systematic sampling, and cluster sampling. All the sampling methods except for convenience sampling, allow for unbiased statistical inference to be made. Convenience sampling typically leads to an unrepresentative sample and biased results. In this week's discussion board, you are asked to design a sample that is representative of the population and unbiased. Scenario: A marketing executive for Coca- Cola, Inc. wants to identify television shows that people in the Seattle area who typically drink Coke are watching. The executive has a list of all households in the Seattle area. Task: You are asked to design a sample to obtain the individuals in the sample. Use the provided scenario to help the Coca-Cola executive identifying the television shows. Design a sample that meets the requirements we discussed in the previous chapter. You need to explain why did you choose this sampling method.
Answers
Answer:
For the coca-cola case, stratified sampling coupled with random sampling will be used.
Step-by-step explanation:
Before going into discussing the scenario, it is evident to discuss the properties of mentioned sampling methods. They are as follows:
Random sampling as the name indicates is purely by randomness. It is a sample in which each element of the population has an equal chance of coming on.
Systematic sampling is easier than random sampling. Here all the elements are arranged in an order and the kth element is considered after a specific interval.
Cluster Sampling is another type of sampling where the population is divided into groups probably on the basis of their geographical location and all the elements of the cluster are then used.
Stratified Sampling is a two-step sampling method where firstly the population is divided into strata, groups on basis of some characteristic, like gender, age, and then another sampling method as the random or systematic method is chosen to pick samples from each of these strata.
On the basis of properties presented and the scenario outlined, it is evident that the population will be divided into strata based on age, gender, profession, and education, and then a random sampling within each stratum is used for all the population of the Seattle area.
Greg has two coupons for a bicycle.
Coupon A: $19 rebate on a $81 bicycle
Coupon B: 20% off of a $81 bicycle
Choose the coupon that gives the lower price.
Answers
The price of Coupon A will be less than the price of Coupon B. Coupon A gives the lower price.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Greg has two coupons for a bicycle.
Coupon A: $19 rebate on an $81 bicycle. Then the price of a bicycle will be
⇒ $81 - $19
⇒ $62
Coupon B: 20% off of an $81 bicycle. Then the price of a bicycle will be
⇒ $81 x 0.80
⇒ $64.8
The price of Coupon A will be less than the price of Coupon B. Coupon A gives the lower price.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
find to the nearest degree the size of each angle of a regular heptagon
plsss i need answers nowwww
Answers
Answer:
That's the question
Step-by-step explanation:
A pentagon has 7 sides so 7-2 =5 and 5x180 = 900
Answer is 900 for the entire pentagon. Now if it were only one side of the pentagon angle then you’d divide 900 by 7 you get something around 128.57 degrees. Hope this helps!
Answer this question to get marked as barinliest!!!!!
Answers
Answer:
D- 30 square units
Step-by-step explanation:
5 times 12 =60
60/2= 30
Which number line represents the solution for 5x greater than 30
Answers
It's G bc of the full dot and the line going up.
I WILL GIVE BRAINLIEST!!!
The average number of subscribers to an online magazine each year from 2010 to 2015 is given in the table below.
Number of Years Since 2010 Avg. Number of Subscribers
0 320,000
1 384,000
2 460,800
3 552,960
4 663,552
5 769,262
The percent increase in the average number of subscribers each year since 2010 was ____%.
Answers
Answer:
the average number of subscribers to the online magazine in 2010 was 320,000
Are the expressions equivalent? Select all that apply.
A:3n + 2 - 4n and 2 - n
B:5(3x + 2) and 15x + 10
C:2(r×r×r) and 6r
D:-8(2z – 3) and -16z - 3
Answers
The area of a circle is 113.04 square meters what is its diameter
Answers
Answer:
The diameter would be 12.
HELP QUICK I NEED AN ANSWER RN PLS
Answers
Answer:
r = 3.7 cm
Step-by-step explanation:
19.02 = 1/2π(2radius) + diameter
expanding:
19.02 = 1/2(3.14)(2r) + 2r
19.02 = 3.14r + 2r = 5.14r
r = 19.02/5.14 = 3.7 cm
PLEASE HELP!!!
Is WXZ〰️YZX?
yes or no, please explain
Answers
Answer:
yes
Step-by-step explanation:
they both have right angles and a side of 21 cm, and they share the side xz. this makes them congruent by side-angle-side congruence, as xz=xz, angle zxw= angle xzy, and zy=xw.
find the measure of the missing angles
Answers
Answer:
Step-by-step explanation:
b = 20 °
c = 160° ( b/c 180-20 = 160 ) :)
b.
Assume the trend in the numbers of users tripling each year was true for all years from 2001 to
2009. Complete the table below using 2005 as year 1 with 3 million as the number of users that
year.
-3
-2
-1
0
1
2
3
4
5
Year
# of
users in
millions
3
Answers
What is the coefficient in: d/2
Answers
Answer:
2
Step-by-step explanation:
the coefficient above is 2
what is the correct answer to x^2+y^2+4x-2y=-1
Answers
Answer:
hold on the answer in the picture
Step-by-step explanation:
sry for it being so blurry
Lila covered 55 ft squared of her back yard with 3/4 of a load of sod. She has 3 loads of sod in all. If she wants to cover all 250 ft squared of her yard, does she have enough sod?
Answers
Answer:
More sod is needed
Step-by-step explanation:
Well we know that 3/4 of a bag of sod covers 55 ft^2 then if we divide 55 by 3 we get 18.3333 we take that and multiply by 4 to get 73.333 or the amount one bag of sod can cover
73.333*3 cuz 3 bags of sod is 220 ft^2
She needs more sod
Marco mixed 2 teaspoons of sugar and 1 teaspoon of milk into his coffee. What is the ratio of teaspoons of sugar
to teaspoons of milk?
A. 2 : 1
B. 1 : 2
C. 1 : 3
D 3 : 2
Answers
Answer:
A..................... is answer
The correct answer is: A. 2 : 1
sally buys 10kg of sweets.
Answers
Answer:
150%
Step-by-step explanation:
Purchase Cost= £12 for 10kg
Sales
1 bag= 200g
200g=1 bag
1 g= 1/200 bag
10000g or 10kg= 1/200 * 10000 = 50 Bags
1 Bag = 0.60
50 Bags= 0.60*50= £30
Profit= £30- £12= 18
% Profit= 18/12 *100
=150%
Which function is best represented by this graph?
A y = 1/4 x + 8
B y = 1/4 x - 2
C y = 4x -2
D y = 4x + 8
⚠️Hurry⚠️
Answers
Answer:
B- y=[tex]\frac{1}{4}[/tex]x-2
Step-by-step explanation:
To look at the slope you can count over four and then up one and its at the next point.
Also, the place on the y-axis is at -2
So, b makes the most since :)
Hope this helps :) (if it does, brainliest??)
hurry pleaseeeeeeeeeeeeeeeeeeeeeee
Answers
hurry pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Can someone help me please ☺
Find the cost of fencing a park with the length of 175 meters and a width of 125 meters. The cost is $12. per meter.
Answers
Answer:
The answer is $3600 I hope this is helpful.
Heya! ツ
☛[tex] \underline{ \underline{ \text{question}}}[/tex] : In the given figure , O is the centre of the circle. Two equal chords AB and CD intersect each other at E. Prove that :
i. AE = CE
ii. BE = DE
*Random/irrelevant answers will not be tolerated !
Answers
Answer:
See Below.
Step-by-step explanation:
In the given figure, O is the center of the circle. Two equal chords AB and CD intersect each other at E.
We want to prove that I) AE = CE and II) BE = DE
First, we will construct two triangles by constructing segments AD and CB. This is shown in Figure 1.
Recall that congruent chords have congruent arcs. Since chords AB ≅ CD, their respective arcs are also congruent:
[tex]\stackrel{\frown}{AB }\, \cong\, \stackrel{\frown}{CD}[/tex]
Arc AB is the sum of Arcs AD and DB:
[tex]\stackrel{\frown}{AB}=\stackrel{\frown}{AD}+\stackrel{\frown}{DB}[/tex]
Likewise, Arc CD is the sum of Arcs CB and DB. So:
[tex]\stackrel{\frown}{CD}=\stackrel{\frown}{CB}+\stackrel{\frown}{DB}[/tex]
Since Arc AB ≅ Arc CD:
[tex]\stackrel{\frown}{AD}+\stackrel{\frown}{DB}=\stackrel{\frown}{CB}+\stackrel{\frown}{DB}[/tex]
Solve:
[tex]\stackrel{\frown}{AD}\, \cong\,\stackrel{\frown}{CB}[/tex]
The converse tells us that congruent arcs have congruent chords. Thus:
[tex]AD\cong CB[/tex]
Note that both ∠ADC and ∠CBA intercept the same arc Arc AC. Therefore:
[tex]\angle ADC\cong \angle CBA[/tex]
Additionally:
[tex]\angle AED\cong \angle CEB[/tex]
Since they are vertical angles.
Thus:
[tex]\Delta AED\cong \Delta CEB[/tex]
By AAS.
Then by CPCTC:
[tex]AE\cong CE\text{ and } BE\cong DE[/tex]
Answer:
this is your answer. look it once.
someone please helppp
Answers
Answer:
7
Step-by-step explanation:
We know that alternate angles ( Z angles) are equal
So, the angle that is adjacent to (13x + 2) = (12x+3)
First, calculate the measure of the angle adjacent to (13x+2)
We know that the angles on a straight line add up to 180 degrees.
Therefore, the angle adjacent to (13x+2) = 180-(13x+2)
Simplify this to: 178-13x
So, now we have an equation
178 - 13x = 12x + 3
Rearrange to find the value of x
25x = 175
x = 7
Hope this helps.
select all of the words that represent the answer to a quadratic equation (there are 4 answers).
-x intercepts
-y intercepts
-solutions
-intersections
-roots
-zeros
Answers
Answer:
see explanation
Step-by-step explanation:
The words used to represent answers to a quadratic equation are
• x- intercepts
• solutions
• roots
• zeros
The answers to any of these would be really helpful
Answers
Answer:
Step-by-step explanation:
Q9) Surface Area of a cylinder
= 2πr(r + h)
Diameter = 12cm , Radius = Diameter/2 = 12 cm/2
r = radius = 6cm
h = height = 10 cm
Surface area = 2 × π × 6(6 + 10)
= 603.18579 cm²
Approximately = 603.2 cm²
Q11) Volume of a rectangular prism
Length × Width × Height
Length = 6.5cm
Width = 8.5 cm
Height = 4 cm
Volume = 6.5 cm × 8.5 cm × 4 cm
Volume = 221 cm³
Q12) Volume of the cylinder = πr²h
r = radius = 1.7m
h = height = 9 m
Volume = π × 1.7 × 9
= 81.71 m³
Approximately = 81.7 m³
Q13) Volume of the cylinder = πr²h
Diameter = 0.8m, Radius = Diameter/2 = 0.8m/2
r = radius = 0.4m
h = height = 1.5 m
Volume = π × 0.4 × 1.5
= 0.75 m²
Approximately = 0.8 m³
A right triangle undergoes a sequence of transformations to generate a new
triangle. Which of the following sequences of transformations would result in
the two triangles being similar but not congruent?
Answers
Answer:
Option a.
Step-by-step explanation:
Two figures are similar if they have the same shape, but maybe different sizes, so if we have a triangle, and we dilate/contract it with a scale factor K, the original triangle and the dilated/contracted one will be similar.
Two figures are congruent if they have the same shape and size. For example, transformations that do not change the size will make congruent figures, those transformations are reflections, rotations and translations.
Now we need to find a sequence of transformations that would result in the two triangles being similar but no congruent, then we need to find the sequence of transformations that has a dilation/contraction in it.
The only sequence that has a dilation is the first one:
a) Rotation 90° centered about the origin, followed by a dilation of scale factor 3 centered about the origin.
Then option a is the correct one.
Joey is buying a new couch for his living room. The couch costs $379.00. He has a choice of using a coupon for 5% off before taxes, getting a rebate of $20 after taxes, or getting a discount of $18 before taxes. If the sales tax rate is 8%, which option is the better deal?
Answers
Answer:
rebate of 20 after taxes
Step-by-step explanation:
Answer:
rebate of 20 after taxes
Step-by-step explanation:
The number of points Jaden scored in a game is less than 45, and is also a multiple of 7. How many points could Jaden have scored
Answers
Answer:
35
Step-by-step explanation:
The first few multiples of 7 are:
× 7 = 7
× 7 = 14
× 7 = 21
× 7 = 28
× 7 = 35
× 7 = 42
× 7 = 49
× 7 = 56
× 7 = 63
× 7 = 70
The number of points Jaden scored in a game less than 45, and a multiple of 7 is 35 points
How to find how many points Jaden scored?The multiples of 7 are;
7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105......
Recall,
The number of points Jaden scored in a game is less than 45
From the options, we are left with 17 and 3517 is not a multiple of 7Therefore, the number of points Jaden scored in a game less than 45, and a multiple of 7 is 35 points
Learn more about multiples of numbers:
https://brainly.com/question/85194
Name the marked angle in 2 different ways.
M
L
J
K
Answers
Answer:
Angle J and angle MJK or maybe right angle....
These are the three ways...
Hope it helps
Step-by-step explanation:
I NEED HELP WITH THIS MATH
Answers
Answer:
v = 120
Step-by-step explanation:
The right angle is egual to 180-39-v, so it is: v-141
U now that the sum of the internal angles of a triangle is 180°.
180 = (v-48)+(v)+(v-141)
180 = 3v - 180
3v = 360
v = 360/3
v = 120
Answer:
89 = v
Step-by-step explanation:
not completely sure how i got it
good luck