An engineer is designing three triangular traffic signs with a computer program. The vertices of Sign A are located at (2, 2) , (2, 12) , and (17, 7) . The vertices of Sign B are located at (4,4),(11, 19) and (18, 4) . The vertices of Sign C are located at (4, 8), (24, 1) , and (24, 15) . Put the signs in order from largest to smallest perimeter. Sign A Sign B Sign C

Answers

Answer 1

Answer:

sign C, sign B, sign A

Step-by-step explanation:

Given the vertices of triangular post A as (2, 2) , (2, 12) , and (17, 7). Let us find the length of side of the post using the formula for calculating distance between 2 points using the formula:

D = √(y₂-y₁)²+(x₂-x₁)²

For the coordinate (2, 2) , (2, 12)

S₁ = √(12-2)²+(2-2)²

S₁ = √(10)²+(0)²

S₁ = √100

S₁ = 10

For the coordinate (2, 2) , (17, 7)

S₂ = √(7-2)²+(17-2)²

S₂ = √(5)²+(15)²

S₂ = √25+225

S₂ = √250

S₂ = 15.8

For the coordinate (2, 12) , (17, 7)

S₃ = √(7-12)²+(17-2)²

S₃ = √(-5)²+(15)²

S₃ = √25+225

S₃ = √250

S₃ = 15.8

Perimeter of sign A = S₁+S₂+S₃

Perimeter of sign A = 10+15.8+15.8

Perimeter of sign A = 41.6

FOR SIGN B with coordinate of vertices (4,4),(11, 19) and (18, 4)

For the coordinate (4, 4) , (11, 19)

S₁ = √(19-4)²+(11-4)²

S₁ = √(15)²+(7)²

S₁ = √225+49

S₁ = 16.6

For the coordinate (4, 4) , (18, 4)

S₂ = √(4-4)²+(18-4)²

S₂ = √(0)²+(14)²

S₂ = √196

S₂ = 14

For the coordinate (11, 19) , (18, 4)

S₃ = √(4-19)²+(18-11)²

S₃ = √(-15)²+(7)²

S₃ = √225+49

S₃ = 16.6

Perimeter of sign B = S₁+S₂+S₃

Perimeter of sign B = 14+16.6+16.6

Perimeter of sign B = 47.2

FOR SIGN C with coordinate of vertices (4, 8), (24, 1) , and (24, 15)

For the coordinate (4, 8) , (24, 1)

S₁ = √(1-8)²+(24-4)²

S₁ = √(-7)²+(20)²

S₁ = √49+400

S₁ = 21.2

For the coordinate (4, 8) , (24, 15)

S₂ = √(15-8)²+(24-4)²

S₂ = √(7)²+(20)²

S₂ = √49+400

S₂ = 21.2

For the coordinate (24, 1) , (24, 15)

S₃ = √(15-1)²+(24-24)²

S₃ = √(14)²+(0)²

S₃ = √196+0

S₃ = 14

Perimeter of sign C = S₁+S₂+S₃

Perimeter of sign C = 14+21.2+21.2

Perimeter of sign C = 56.4

Arranging in order from largest to smallest perimeter, Sign C(56.4), Sign B (47.2), sign A (41.6)


Related Questions

Multi-step Equations
12) -(7 - 4x) = 9

Answers

Answer:

4

Step-by-step explanation:

-7+4x=9

4x=16

x=4

So if you rewrite the equation it’s like -1*(7-4x)
So you do -1*7 which is -7 and -1*-4x, which is 4x. So you then have -7+4x. Then you add 7 to both sides, getting 4x equals 16. You divide both by 4, making x=4
X=4

nash is training for a marathon and decided to run 26 miles every week,in the first week the ratio of the number of miles he ran to the number of miles he walked was 3:10 he ran 6 miles n first mirst week he ran 16 miles in the 5 week how many miles id he improved by from week 1 to week 5

Answers

Answer:

Step-by-step explanation:

10

I need help with the first question

Answers

Answer:

Subtract 2k from both sides.

4k−3−2k=2k+5−2k

2k−3=5

Add 3 to both sides.

2k−3+3=5+3

2k=8

Divide both sides by 2.

2k /2 =8/2

k=4

What is the product of x and x + 2 ?

FIRST ANSWER GETS BRANLIEST

Answers

Answer:

x² + 2x

Step-by-step explanation:

Given the product

x(x + 2) ← distribute parenthesis by x

= x² + 2x

When Mrs. Adams drove from Houston to Austin, her car averaged 24 miles per gallon of gas.
This situation can be written in the equation y = 24x. What does the slope represent?

A. the number of miles per gallon
b. the total number of gallons of gas
c .the total number of miles
d. the price of a gallon of gas

Answers

C the total number of miles

If two angles are adjacent, then they have a common ray

Answers

Answer:

There are some special relationships between "pairs" of angles. Adjacent Angles are two angles that share a common vertex, a common side, and no common interior points. (They share a vertex and side, but do not overlap.) ... A Linear Pair is two adjacent angles whose non-common sides form opposite rays.

Step-by-step explanation:

Help meh plsssss ASAP ty

Answers

heres the answer :)))))))))))))))))))))

I HAVE 2 MORE QUESTIONS, CAN SOMEONE HELP ME??anyonee?

Answers

The second one is d 78 and 82
for the first one the answer is B.)
the second one is C

Last one
7(5k-25)=35

Answers

Answer:

7(5k-25)=35- distribute

35k-175=35- add 175 to both sides

35k = 210- divide

k=6

Step-by-step explanation:

What is the value of -42 +(5-2)(-6)?
0-34
0 -2
10
O 34

Answers

Answer:its A (-34)

Step-by-step explanation:

I took the test

Help me please! What’s m

Answers

Answer:

should be 60 right?

Step-by-step explanation:

a triangle =180 degrees

angle be is 60

60+60+60 =180

not a very good explanation but im almost certain the answer is 60

Answer:

A = 60°

Step-by-step explanation:

B is equal to 60°, so 60 + 80 = 120

180° - 120° = 60°

Pls Brainliest, it would help a lot! ;)

Tabitha's mom gave her $10.00 to buy school supplies. Tabitha needs to buy 2 pens and some notebooks. If each pen costs $1.99 and each notebook costs $2.99, how many notebooks can Tabitha buy using only the money her mom gave her?

pls help ;c (40 points)

Answers

She could only get two notebooks because the total after she got her two pens would be 8 dollars and u can’t divide that by three so you would do two which is your answer
She can buy 2 notebooks.

Dons plumbing charges $15 per hour plus a service fee of $40 for coming out to your house. Write the equation modeling this situation.

Answers

Answer:

15x+40

Step-by-step explanation:

x would be the number of hours he is at the home

Last year, 320 students were members of Pine Hill Middle School clubs. This year, there was a 20% increase in memberships. How many students are members this year?

Answers

Answer:

384

Step-by-step explanation:

No. of students in the club last year = 320

No. of students in the club this year increased by 20%

To find the actual increase, 20% is multiplied by the number of students in the club last year which is 320 and to find the number of students in the club this year add the answer to 320 (the number of students in the club last year)

That is,

= 20% * 320

= 20/100 * 320

= 64

Finding the number of students in the club this year

320 + 64 = 384 students

NOTE : Increase means addition that is why the number of students in the club last year is added to the actual increase

Gary applied the distributive property using the greatest common factor to determine the expression that is equivalent to 66 + 36. His work is shown below. Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66 Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36 66 + 36 = 3 (22 + 12)

Answers

Step-by-step explanation:

Factors of 66 = 1, 2, 3, 6, 11, 22, 33, 66

Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36

GCF (greatest common factor) = 6

Gary applied the distributive property using the greatest common factor to determine the expression that is equivalent to 66 + 36. He wrote it as :

66 + 36 = 3 (22 + 12)

But he is wrong. He multiplied (22+12) by 3 which is wrong. The correct step should be :

66 + 36 = 6 (11+ 6)

= 6(17)

= 102

Hence, this is the required solution.

Find the value of d so the line that passes through (a,b) and (c,d) has a slope of 12.

Answers

Answer:

d = 12c-12a+b

Step-by-step explanation:

The formula for calculating the slope of a line passing through two points (x1, y1) and (x2, y2)is expressed as:

m = y2-y1/x2-x1

Given the coordinates  (a,b) and (c,d) and slope m = 12

Substitute into the formula as shown:

m = d-b/c-a

12 = d-b/c-a

Make d the subject of the formula:

12 = d-b/c-a

cross multiply

12(c-a) = d-b

12c-12a = d-b

add b to both sides

12c-12a + b = d-b+b

12c-12a + b = d

Hence d = 12c-12a+b

4(2q – 3) = 8q-12

Pls solve and show steps

Answers

Answer:

LHS = RHS = -12

Step-by-step explanation:

=> 4(2q - 3 ) = 8q - 12.

=> 8q - 12 = 8q - 12 .

=> 8q - 8q - 12 = -12 .

=> -12 = -12 .

Hence LHS = RHS .

[tex]4(2q - 3) = 8q - 12[/tex]

[tex]8q - 12 = 8q - 12[/tex]

[tex]8q + - 12 = 8q + - 12[/tex]

[tex] - 12 - 8q = - 12 - 8q[/tex]

[tex] - 12 = - 12[/tex]

[tex] - 12 + 12 = - 12 + 12[/tex]

[tex]0 = 0[/tex]

By the above equation , we can conclude that any real number can be placed in the place of q to make the left hand side of the equation become equal to the right hand side of the equation .

Therefore , any real number ( integer , fraction and rational number ) can be placed in the place of q .

Select all of the expressions that are equivalent to 4v5.

Answers

Answer:

The answer is A and D.................................


What is the equation of the line using the information
below?
m= 10 and b=-3
Equation=


Answers

The answer is Y=10x-3 if that’s the type of equation you wanted.

Answer:

y= 10x-3

Step-by-step explanation:

If you are using the y=mx+b model, the above answer is correct. M represents the slope and B represents the y-intercept.

How do you evaluate a function.

Answers

Answer:

to evaluate a function, substitute the input

Step-by-step explanation:

(the given number or expression) for the function variable (place holder, x) replace the x with the number or expression. 1. given function f (x)=3x -5 finf (f) 4.

Explain how you used the distribute property to find an equivalent expression for
2 (3+8)
WORTH 10 POINTS

Answers

2 (11)
13 would be ur answer

What is 330000 in standard to scientific notation?

Answers

Answer:

3.3*10^5

Step-by-step explanation:

Answer:

3.3 * 105

Step-by-step explanation:

Write the number between 1 and 9 and place decimal accordingly. So, the answer is 3.3 multiplied by 10 raised to power 5.

What is the image point of (0, -1) after a translation left 5 units and down 1 unit?

Answers

Answer:

The point is (-5, -2).

Step-by-step explanation:

Translation to the left means subtract from x value. Translation down means subtract from y value.

Answer:

(-5,-2)

Step-by-step explanation:

Subtract 5 from the x value

Subtract 1 from the y value

-9m-8+4m combine like terms ?

Answers

Answer:

-8-5m

Step-by-step explanation:


Please help if you can!! I would appreciate it alot!



People attending a baseball game either supported the home team or the visiting team. If 1144 of the people attending supported the home team and 1456 supported the visiting team, what percentage supported the home team?​

Answers

Answer:

44%

Step-by-step explanation:

1144 is 44 percent of 2600

The amount of money Irene earns for walking dogs is shown in the table.
How much money in dollars does Irene earn for walking 15 dogs?
Irene's Earnings
Dogs Walked 2 4
6
8
Money Earned $10.50 $21.00 $31.50 $42.00
Your answer

Answers

Answer:$5.25

Step-by-step explanation:

is easy just do 10.50 divided by 2 and your answer is $5.25

Are these right please help

Answers

Answer: 1 is correct. 2 is incorrect it should be 0. 3 is incorrect it should be undefined. 4 is incorrect it should be -4/3. The rest is all correct

Step-by-step explanation:2=0, 3=undefined, and 4=-4/3

Three students were given the expression shown and were asked to take a

common factor out of two of the terms.

Use the drop-down menus to complete the statements about whether each

student's answer is an equivalent expression. Then choose an expression

that is equivalent



4 - 9x + 21

Answers

Step-by-step explanation:

The question is incomplete. Find the complete question attached.

Let us analyze each of the students expression and determine the correct one if there are any.

Chang expression after factoring: 4-3(3x+7)

In order to know whether chang's factorization is similar to the expression, we will expand and compare with the given expression as shown;

= 4-3(3x+7)

Open the parenthesis

= 4 - 3(3x)-3(7)

= 4 - 9x - 21

This shows that Chand expression is wrong.

Hence Chang expression is not an equivalent expression because when -3 is factored out from the bracket,  it supposed to leave a negative sign instead of positive.

Benjamin expression after factoring: 4+3(3x+7)

In order to know whether Benjamin's factorization is similar to the expression, we will expand and compare with the given expression as shown;

= 4+3(3x+7)

Open the parenthesis

= 4 + 3(3x)+3(7)

= 4 +9x + 21

This shows that Benjamin expression is wrong.

Hence Benjamin expression is not an equivalent expression because the positive values within the expression is supposed to be negative sign instead

Habib expression after factoring: 4+12x

The equation is obviously wrong and not an equivalent expression because the constant value 21 does not have a variable x and cannot be added to -9x according to what Habib did.

Given the expression

4 - 9x + 21

The correct simplification of the expression is as shown;

4 - 3(3x - 7)

Note that when -3 is factored out, the sign inside the parenthesis also changes

Describe the end behavior of the graph f(x) using limits.

Answers

Answer:

um

Step-by-step explanation:

The end behavior of the graph f(x) using limits are

[tex]\lim_{x \to -\infty} f(x) = -\infty[/tex]

and

[tex]\lim_{x \to \infty} f(x) = -\infty[/tex]

Option B is the correct answer.

We have,

From the graph,

As the x-value increases, the function y-values goes to -∞.

As the x-value decreases, the function y-values goes to -∞.

Now,

f(x) is the y-value.

The end behavior of the graph f(x) using limits can be represented as,

[tex]\lim_{x \to -\infty} f(x) = -\infty[/tex]

and

[tex]\lim_{x \to \infty} f(x) = -\infty[/tex]

Thus,

The end behavior of the graph f(x) using limits are

[tex]\lim_{x \to -\infty} f(x) = -\infty[/tex]

and

[tex]\lim_{x \to \infty} f(x) = -\infty[/tex]

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ4

use 3.14 for pi. round your answer to the nearest whole number

Answers

Answer:

whats the equation

Step-by-step explanation:

Answer:

Kylie drew a circle with a diameter of 8 cm. Paige drew a circle with a radius of 3 cm.  Approximately how much larger is the area of Kylie’s circle than the area of Paige’s circle? Use 3.14 for Pi and round to the nearest whole number.

22 centimeters squared

88 centimeters squared

173 centimeters squared

351 centimeters squared

Step-by-step explanation:

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