Polygon A has an area of 18 square feet and Polygon B has an area of 98 square feet. If the two polygons are similar, and Polygon B has a side length of 14 feet, find the corresponding side length in Polygon A.

Answers

Answer 1

Answer:

6 feet

Step-by-step explanation:

Let the length of side length in polygon A be represented by x. Since the two polygons are similar, then it can be deduced that;

Area scale factor = [tex](linear scale factor)^{2}[/tex]

linear scale factor = [tex]\sqrt{Area scale factor}[/tex]

Area scale factor = [tex]\frac{98}{18}[/tex]

So that,

linear scale factor = [tex]\sqrt{\frac{98}{18} }[/tex]

                              = 2.3333

The length of side of polygon A = [tex]\frac{14}{2.3333}[/tex]

                                       = 6.0085

Therefore, the corresponding side length of polygon A is 6 feet.


Related Questions

Consider the angle 0.
What is the value of the ratio opposite/adjacent

Answers

Answer:

Step-by-step explanation:

12/5

as a mixed fraction 2 2/5

or as decimal 2.4

Eber bought a new pair of baseball cleats for $64.95. The sales
tax is 5.5%. What is the total cost that Eber will pay?

Answers

$64.95 with 5.5% sales tax is 68.52

Sue has four DVDs and Terry has six DVDs. They
put all their DVDs together and sold them for $10
for two DVDs. How much money will they earn if
they sell all of their DVDs?

Answers

Answer:

$50

Step-by-step explanation:

4+6=10/2=5*10=50

$50

Given:
Sue (4) + Terry (6) = 10 DVDs to sell
$10 for 2 DVDs ($10/2 = $5 per DVD)

Answer:
10 (total DVDs) * $5 (price per DVD) = $50

Which value for x makes the sentence true?
2/3x +5=7
A.
-4
B.
18
C. 8
D.
3

Answers

Answer:

Answer is D: 3

Step-by-step explanation:

The factors of a polynomial are (x + 3x - 2)(x+ 7) The polynomial has been graphed. How do the zeros relate to the factors?

A. The zero is the sum of the numbers inside the parenthesis

B. There is no relationship between the factors and the zeros.

C. The number inside each parenthesis are the zeros of the equation.

D. If you set each factor equal to 0 and solved you would get the zeros.​

Answers

Answer:

its C I am pretty sure about it

Answer:

D: If you set each factor equal to 0 and solved you would get the zeros.

Step-by-step explanation:

Completed it on PL also because 0 should be base

For males to enter the United States Air Force Academy, located in Colorado
Springs, CO, they must be at least 17 but less than 23 years of age. Their standing height
must be not less than 60 inches and not greater than 80 inches. Graph all possible
heights and ages for eligible male candidates. Give three possible combinations.

Answers

Answer:

Some research has shown that culture and context-specific gender roles have a stronger influence on emotional expression than do biological factors. ... Another study suggests that people tend to exhibit more intense negative facial expressions in solitary conditions, and smile more when others are present.

help me lol .......................

Answers

Answer:

dang I think its 5 I hope it is

Answer: j > 5

-

Step-by-step explanation:

Sorry it wouldn’t let me put it with the line

Find the Median for the following set of numbers.
6, 9, 8, 11, 17, 17, 16

Answers

OK so first you’re going to put it all in order from least to greatest so it’s going to be 6, 8, 9, 11, 16, 17, 17. And then you’re going to have to cross out six then the last 17 then 8 then the next 17 then 9 then 16 and then the answer you’ll have it it’s going to be 11

look at the diagram below. which two cities have the same temperature?
options : Aberdeen, Edinburgh, Leeds, Exeter.​

Answers

some are

edinburgh and exeter

find the value of v in rectangle

Answers

Answer:

Step-by-step explanation:

7v = v+12

6v = 12

v = 2

help please!
will give brainliest

Answers

Answer:

The answers will placed according to the order that they were given

6.93

15.75

17.64

6.93

Step-by-step explanation:

Supplementary angles, please help! 1,2, and 3

Answers

Answer:

1) 180 - 17 = 163

2) 180 - 124 = 56

3) 180 - 86 = 94

Which object has the greatest inertia?
1 lb of butter


2 lb bag of sugar


5 lb bag of apples


10 lb bag of potatoes

Answers

Answer:

Its D

Step-by-step explanation:

I took the quiz and got 100

please help will mark brainlist please and thank you

Answers

Answer:

c

Step-by-step explanation:

and the answer is c

Diana is training for a marathon. The total miles she runs varies from week to week but follows the pattern described in the table. At the beginning of her training, Diana limited her distance so that she did not run more than 10 miles during the first three days of the week. Write an inequality you can use to find the possible distances Diana may have run on Monday during the first week of training. Solve the inequality Describe the reasonable solutions

Answers

Answer:

The inequality 3x-(x-1)>5 represents this situation. Since Diana can run more than 1 mile on tuesday and more than 6 miles on sunday.

Step-by-step explanation:

Can someone please help!!! I will mark Brainly if you get it right!!!!

Answers

Answer:

I think it is the last one

Which of the lines below has a negative slope?
A
B
6
-5
15
6
10
5
D
5
5

Answers

Well, negative slope has the word negative in it right? So, it will be the negative number. Answer: -5 (negative 5)

Question: Write a word problem that involves terms and coefficients. Discuss how you would go about solving this problem.

Answers

Answer:

Mk. So I think you should only copy the part that is in bold.

Terms are something that is being added together. Factor is something that is being multiplied together. A coefficient is a number that is being multiplied by the variable. The 2x, 6x, and 14 are terms because they are being added together.

An employee's salary,
S
(
n
)
, in dollars, at a company is a function of the number of years,
n
, that the employee has worked at the company.

The relationship between
n
and
S
(
n
)
is shown in the table below.

Answers

The question is incomplete. Here is the complete question.

An employee's salary, S(n), in dollars, at a company is a function of the number of years, n, that the employee has worked at the company.

The relationship between n and S(n) is shown in the table below.

Which of the following equations represents an explicit formula for S(n)?

A. S(n) = 40,000(1.05)ⁿ

B. S(n) = 40,000 + 1.05n

C. S(n) = 40,000(1.05)ⁿ⁻¹

D. S(n) = 40,000 + 1.05(n-1)

Answer: A. S(n) = 40,000(1.05)ⁿ

Step-by-step explanation: The table shows an exponential function, which is, in general, is of the form:

[tex]S(n)=S_{0}r^{n}[/tex]

where

S₀ is the initial value

r is the rate the salary grows

n is the years the employee worked

From the table, in the first year, an employee receives $40,000, so, that is the initial value.

The salary increases at a constant rate of 1.05 per year, as shown below:

[tex]r=\frac{42,000}{40,000}=\frac{44,100}{42,000}=\frac{46,305}{44,100}[/tex]

r = 1.05

So, the rate the salary grows is r = 1.05 or 5%.

Therefore, the equation that shows an explicit formula for S(n) is [tex]S(n)=40,000(1.05)^{n}[/tex].

54 1/2-42 3/4

45 3/8- 13 3/4

Answers

Answer:

11 3/4

31 5/8

Step-by-step explanation:

1. 54 1/2 - 42 3/4

= 109/2 -171/4

= 218-171/4

= 47/4

= 11 3/4

2. 45 3/8 - 11 3/4

= 363/8 -55/4

= 363-110/8

= 253/8

= 31 5/8

use elimination metho to solve the system of equations ​

Answers

Answer:

There are infinitely many solutions.

Step-by-step explanation:

3x + 2y = 7

-9x - 6y = -21

Now multiply the first equation by 3

3 × 3x + 2y = 7 ➡ 9x + 6y = 21 Now subtract second equation from first equation

9x + 6y - 9x - 6y = 21 - 21

0 = 0

The equation has infinitely many solutions meaning whatever value you write instead of x and y there will be solution.

I just need the right answer with steps

Answers

Y -6 = 2(x+5)
y - 6 + 6 = 2x + 10 + 6
y = 2x + 16
So y = 2x + 16 is your answer

I need some help with this

Answers

Answer:

8

Step-by-step explanation:

How many times does the line y=-6 intersect with the circle x^2+y^2=36?

Answers

Answer:

a) The line intersects with the circle once.

b) Tangent

Step-by-step explanation:

We are given the following equation for the circle:

[tex]x^2 + y^2 = 36[/tex]

How many times does the line y=-6 intersect with the circle?

We have to find the values of x when [tex]y = -6[/tex]

So

[tex]x^2 + y^2 = 36[/tex]

[tex]x^2 + (-6)^2 = 36[/tex]

[tex]x^2 + 36 = 36[/tex]

[tex]x^2 = 0[/tex]

[tex]x = 0[/tex]

Since the line intersects the circle at one point, it is tangent to the circle.

The line intersects with the circle once.

Matt started his own company where he rents used textbooks to struggling college students at multiple Universities for a low rate. Over the last few years Matt has been able to collect a total of 250 textbooks for his business at Temple University. Unfortunately, students can be irresponsible and lose their textbook rental causing a loss for Matt. Based on past information Matt has collected the data below for Temple University based on losses per semester. #
of losses per semester Probability
0 0.08
5 0.16
10 0.28
15 0.32
20 0.14
25 0.02
a. Calculate the expected frequency of losses per semester. (2 points)
b. Calculated the variance. (2 points)
Now assume that when losses do occur, they are non-random and losses equal $60.
c. Calculate the expected losses per semester? (2 points)
d. Calculate the expected losses for ALL textbooks per semester. (1 point)
e. Calculate the expected losses for ALL textbooks for the next 2 school years (4 semesters). (1 point)

Answers

Answer:

a. Expected frequency of losses per semester = 0*0.08 + 5*0.16 + 10*0.28 + 15*0.32 + 20*0.14 + 25*0.02

Expected frequency of losses per semester = 11.7 losses per semester

b. Variance = (0-11.7)²*0.08 + (5-11.7)²*016 + (10-11.7)²*0.28 + (15-11.7)²*0.32 + (20-11.7)²*0.14 + (15-11.7)²*0.02

Variance = 10.9512 + 7.1824 + 0.8092 + 3.7848 + 9.6446 + 3.5378

Variance = 35.61

c. As losses equal $60, expected losses per semester = 11.7*$60 = $702

d. Expected losses of all textbooks per semester = 250*11.7*$60 = $175,500

Help please I give brainliest

Answers

Answer:

2,20

Step-by-step explanation:

Answer:

(8,5)

Step-by-step explanation:

To determine the domain, identify the set of all the x-coordinates on the function's graph. To determine the range, identify the set of all y-coordinates. In addition, ask yourself what are the greatest/least x- and y-values. These values will be your boundary numbers.

Help memmememmememenememmeemememmemememememmemememememmeme

Answers

Answer:

165438339828369373938+50

(9x10^10) - (4x10^10)

Answers

Answer: 50000000000 is your answer.

Step-by-step explanation:

Which inequalities will have an open circle at -3

Answers

The inequalities will

can somebody help me?

Answers

Answer:

1 and 2

Step-by-step explanation:

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