A regular polygon is shown. 12 sided regular polygon Determine the measure of one of its angles.

A Regular Polygon Is Shown. 12 Sided Regular Polygon Determine The Measure Of One Of Its Angles.

Answers

Answer 1

The measure of one of its angle is 150°

A Polygon is a two-dimensional closed figure made up of line segments (not curves). Polygon is a combination of two words, poly (which means many) and gon (which means shape) (means sides). To create a closed figure, at least three line segments must be connected end to end.

Given that

12 sided regular polygon

We can use the following formula to calculate the total number of degrees in any shape:

(n−2)⋅180

[Where n = number of sides]

(12−2)⋅180

(10)⋅180

=1800

So a 12-sided polygon has 1800 degrees. To calculate the measure of one angle, divide the total number of degrees (1800) by the number of sides, n.

(1800/12) = 150°

Therefore the measure of one of its angle is 150°

To learn more about polygons visit

https://brainly.com/question/10441863

#SPJ1


Related Questions

a recent survey of 6 social networking sites has a mean of 9.05 million visitors for a specific month. the standard deviation was 5 million. find the 98% confidence interval of the true mean. assume the variable is normally distributed. round your answers to at least two decimal places.

Answers

The 98% confidence interval of the true mean is 43.02 million < true mean < 13.80

Given,

Number of social networking sites being surveyed = 6

Sample mean = 9.05 million visitors per month

Standard deviation = 5 million

We have to find the 98% confidence interval of the true mean;

Here,

Sample mean, x = 9.05 million

Standard deviation, σ = 5 million

Sample size, n = 6

z score of 98% is 2.326

Now,

9.05 million - 2.326 × (5 million / √6) < true mean < 9.05 million + 2.326 × (5 million / √6)

43.02 million < true mean < 13.80

Therefore,

The 98% confidence interval of the true mean is 43.02 million < true mean < 13.80

Learn more about true mean here;

https://brainly.com/question/2253744

#SPJ4

Find the value of x.

Answers

Answer:

C (41)

Step-by-step explanation:

A straight line has 180 degrees in it. all you would have to do is is add the known numbers, 16 + 123, getting 139. Then subtracting 139 from 180m. You would then get 41.

Answer:

x=41

Step-by-step explanation:

(X+16)+123=180

x+139=180

 -139. -139

x=41

Hopes this helps please mark brainliest

What is the slope of the line passing through the following two points.
P1 (4,6) and P2 (5, 9)

Enter your answer in the box.

Answers

you need to plug the coordinates into the slope formula, which is m=(y2-y1)/(x2-x1).

m=(9-6)/(5-4)

m=(3)/(1)

m=3

Please help (Algebra 1)

Answers

The average rate of change of the function is 0.2 inches per day

How to determine the average rate of change of the function?

A rate of change describes how one quantity changes in relation to another quantity. Mathematically, it is defined as the change in one divided by the change in the other quantity.

In this case, the average rate of change of the function g(n) from n=1 to n=5 will be:

Given the function, g(n) = 10(1.02)ⁿ

average rate of change  = g(5)-g(1) / n₅-n₁

g(5) = 10(1.02)⁵ = 11.0

g(1) = 10(1.02)¹ = 10.2

                     

average rate of change  = 11.0-10.2 / 5-1

                                        = 0.8/4

                                        = 0.2 inches per day

Therefore,  the average rate of change from n=1 to n=5 is 0.2 inches per day

Learn more about average rate of change on:

https://brainly.com/question/8728504

#SPJ1                        

A ladder 13m long reaches a window which is 5m above the ground , on one side of the
street. Keeping its foot at the same point,
the ladder is turned to the other side of the street
to reach a window at a height of 12m. Find the
width of the street.

Answers

The ladder is 13 m long and leans against a window 5 m high, then the ladder leaned to the other side without moving its feet to reach the 12 m high window.

How to find the width of the street?

if we imagine a leaning ladder it will look like a right triangle and it will remind us of the Pythagorean theorem. do you remember the pythagorean theorem?

The Pythagorean theorem explains the relationship or relationship between the lengths of the sides of a right triangle.

The Pythagorean theorem reads: "The square of the length of the hypotenuse (hypotenuse) in a right triangle is equal to the sum of the squares of the lengths of the other sides".

in the picture, let's say if the width of the street is a, the height of the window is b and the length of the stairs is c.

in this case we will find the width of the street, namely a, then we use formula a² = c² - b² .

then it will be

b = 12

c = 13

a² = c² - b²

a² = 13² - 12²

a² = 169 - 144

a² = 25

a = 5

So the width of the street is 5 m

Please help this is due tomorrow
If W(-10, 4). X(-2, 71), and Y(-5, 10) classify triangle WXY by its sides. Show all work to justify your answer.​

Answers

If W(-10, 4), X(-2, 71), and Y(-5, 10), triangle WXY is an isosceles triangle.

What is an obtuse scalene triangle?

An obtuse scalene triangle is a triangle in which one of the angles is greater than 90 degrees but less than 180 degrees and the other two angles are less than 90 degrees. The measurements of all three sides and angles

Distance formula, [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

The given points are W(-10, 4), X(-2, 71), and Y(-5, 10) .

Let's find the length of WX.

                         [tex]WX = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\\\WX = \sqrt{(-2 -(-10))^2 + (71-4)^2}\\\\WX = \sqrt{(8)^2 + (67)^2}\\\\WX = \sqrt{64 + 4489}\\\\WX = \sqrt{64 + 4489}\\\\WX=67.47[/tex]

Now find the length of XY.

                        [tex]XY = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\\\XY = \sqrt{(-5-(-2))^2 + (10-71)^2}\\\\XY = \sqrt{(-3)^2 + (-61)^2}\\\\XY = \sqrt{9 + 3721}\\\\XY=61.07[/tex]

Now find the length of WY.

                      [tex]WY = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\\\WY = \sqrt{(-5-(-10))^2 + (10-4)^2}\\\\WY = \sqrt{(5)^2 + (6)^2}\\\\WY = \sqrt{25+36}\\\\WY=7.81[/tex]

So from calculations, we can say that triangle is an obtuse scalene triangle.

To learn more about obtuse scalene triangles visit:

https://brainly.com/question/16589630

#SPJ9

4. 6 2/3 divided by 8

Answers

Ok so first you have to make 6 2/3 an improper fraction. So multiply 6 by 3 and add it to 2. That gives you 18 +2 which is 20. Now you have 20/3 divided by 8. Dividing is the same as multiplying by the reciprocal so 20/3 /8 is the same as 20/3 * 1/8. Now do cross simplification and you get 5/3 *1/2 which gets you 5/6

The two-way frequency table contains data about how students access courses.


Traditional Online Row totals
Computer 28 62 90
Mobile device 46 64 110
Column totals 74 126 200


What is the joint relative frequency of students who use a computer in a traditional class?
45%
37%
28%
14%

Answers

The joint relative frequency of students who use a computer in a traditional class is of:

37%.

How to obtain a relative frequency?

The relative frequency of an event in an experiment is calculated as the number of desired outcomes in the context of the experiment divided by the number of total outcomes in the context of the experiment.

In this problem, we want the joint relative frequency of students who use a computer in a traditional class, hence the total and desired outcomes are given as follows:

Total outcomes: 74 students in a traditional class.Desired outcomes: 28 students using a computer in a traditional class.

Hence the joint relative frequency of students who use a computer in a traditional class is calculated as follows:

28/74 = 37%. (rounded down).

More can be learned about relative frequencies at https://brainly.com/question/1809498

#SPJ1

Answer:

14%



Step-by-step explanation:

1. I took the test

2.Likes running and swimming=28

Total=200

28/200=.14

.14 in percent form is 14%


PLS GIVE BRAINLIST MEAN THE WORLD

The graph of a linear function passes through (−8,−4) and (4, 5). What is the equation of the function? Please help.

Answers

Answer:  y=(3/4)x+2

Step-by-step explanation:

1. Find the slope (change of y/change of x)

(5-(-4))/(4-(-8)

9/12

SLOPE: 3/4

2. Find the y-intercept. Insert the points into an equation and find b.

5=(9/12)(4)+b

5=3+b

b=2

Y-INTERCEPT=2

A spherical snowball is melting. Its radius decreases at a constant rate of 3 cm per minute from an initial value of 100 cm. How fast is the volume decreasing 5 minutes later? give your answer in cubic centimeters per minute.

Answers

Decreasing rate of volume 5 minutes later is 23561.94 cm³, when its radius decreases at a constant rate of 3 cm per minute from an initial value of 100 cm.

Define differentiation.

Differentiation is the process of determining a function's derivative. Differentiating algebraic functions, trigonometric functions, and exponential functions are the three fundamental derivatives. The velocity is the rate at which a displacement changes in relation to time. A differentiation example would be this. The first derivative of displacement is velocity. The second derivative of displacement is acceleration.

Given,

The radius is decreasing at a rate of dr/dt = 3.

R = 100 cm is the beginning value of the radius.

The duration is t = 25 minutes.

Volume of snowball:

V = 4/3π(100 - 3r)³

Differentiating:

dV/dt = 4/3 × 22/7 (3)(-3)(100-3(25)²)

dV/dt = -23561.94 cm³

Decreasing rate of volume 5 minutes later is 23561.94 cm³, when its radius decreases at a constant rate of 3 cm per minute from an initial value of 100 cm.

To learn more about differentiation, visit:

https://brainly.com/question/9252799

#SPJ4

Find the missing side of the triangle.

Answers

The missing side is 16 because in a 30-60-90 (angles) triangle the hypotenuse is equal to 2 multiplied by the side across from angle 30 or 8 in this problem.

8*2=16
X=16

The ratio of 19 yellow beads to 4 red

Answers

Answer:

the answer is 19: 4

Step-by-step explanation:

19:4

Determine the effective tax rate for a taxable income of $63,425. Round the final answer to the nearest hundredth.

Answers

Answer:

The effective tax rate for a taxable income of $63,425 is 15.18%.

Step-by-step explanation:

1= Prt.
You deposit $2,500 into an account
earning Simple interest. The
interest rate is 1.75%
How much money will be in the
account after 8 years?
-How much interest will be earned
5 years?
in

Answers

Part a

There will be $2850 in the account after 8 years

Part b

The amount of interest earned in 5 years is $218.75

The principal amount = $2500

The interest rate = 1.75%

The time period = 8 years

Part a

The simple interest

A = P(1  + rt)

Substitute the values in the equation

A = 2500(1 + (1.75/100)×8)

A = 2500( 1 + 0.14)

A = 2500( 1.14)

A = $2850

Part b

The time period = 5 years

Simple interest = Prt

= 2500 × (1.75/100) × 5

= 2500 × 0.0175 × 5

= $218.75

Hence,

Part a

There will be $2850 in the account after 8 years

Part b

The amount of interest earned in 5 years is $218.75

Learn more about simple interest here

brainly.com/question/25845758

#SPJ1

-6v > 48.help meeeeee

Answers

Answer: v<-8

im not sure if that what your looking for but

The scale of a map is 1.5 centimeters =
120 kilometers. If two cities are
4.75 centimeters apart on the map,
what is their actual distance?
A. 420 km
B. 390 km
C.
380 km
D. 360 km

Answers

If 1.5cm : 120km
1cm : 80km
4.75cm : 380km

Hence the answer is c which is 380 km

Solve the equation -4(x - 1) + 6x =34 for x

Answers

Answer:

Step-by-step explanation:

-4(x - 1) + 6x =34

-4x + 4 + 6x = 34

-4x + 6x + 4 = 34

2x + 4 = 34

2x + (4-4) = (34-4)

2x = 30

2x/2 = 30/2

x = 15

Help!! I need this ASAP!

Answers

The given expression rewritten in simplified exponential form is [tex]5x^{\frac{3}{2}}[/tex]

Simplifying an expression

From the question, we are to rewrite the given expression is simplified exponential form.

The given expression is

[tex]\sqrt{\sqrt{25^{2} x^{6} } }[/tex]

First, we will evaluate the inner square root

[tex]\sqrt{25^{\frac{2}{2} } x^{\frac{6}{2} } }[/tex]

[tex]\sqrt{25 x^{3 } }[/tex]

Simplifying further

[tex]\sqrt{25 } \times \sqrt{x^{3}}[/tex]

[tex]5\times x^{\frac{3}{2}}[/tex]

= [tex]5x^{\frac{3}{2}}[/tex]

Hence, the expression in simplified form is [tex]5 x^{\frac{3}{2}}[/tex]

Learn more on Simplifying an expression here: https://brainly.com/question/21862471

#SPJ1

You can use indirect measurement to estimate the height of a flag pole. First measure your distance from the base of the flagpole and the distance from the ground to a point on the flag pole that you are looking at. Maintaining the same angle of sight, move back until the top of the flag pole is in your line of sight. Explain why AABC and ADBE are similar. a. b. What is the height of the flagpole? E 7.5 ft Bi AT 4.5 ft 51-22 ft- D T 4.5 ft​

Answers

The height of the flagpole is 17.7 ft after applying the concept of the similarity of triangles.

What is the similarity law for triangles?

It is defined as the law to prove that two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

It is given that:

You can use indirect measurement to estimate the height of a flag pole.

Given:

AC || DE

The common angle: Angle B = Angle B

Angle BAC = Angle BDE

Triangle ABC = Triangle DBE (By AA rule)

BC/BE = BA/BD

(7.5 - 4.5)/BE = 5/22

BE = 13.2

The height of the flag pole

h = BE + 4.5 = 13.2 + 4.5 = 17.7 ft

Thus, the height of the flagpole is 17.7 ft after applying the concept of the similarity of triangles.

Learn more about the similarity of triangles here:

brainly.com/question/8045819

#SPJ1

4^5-9x = 1/8^x-2

what is x equals? and the steps
.. please

Answers

You can ask where you don't understand.

Answer question in picture

Answers

Answer: 0 = 70º

Step-by-step explanation: Solve sin(π/9) = cos(0) to find angles

What is the solution to the following system?

Answers

The solution to the system is x = 0, y =2, z = 5

How to find the solution to the system?

Given the following system:

x+ 2y+z=9      -------- (1)

x- y+3z = 13    -------- (2)

2z = 10            -------- (3)

From (3):

2z = 10

z = 10/2 = 5

Put z = 5 into (1) and (2):

x+ 2y+z=9

x+ 2y+5 = 9

x +2y = 9-5

x +2y = 4     -------- (4)

x- y+3z = 13

x -y + 3(5) = 13

x-y + 15 = 13

x-y = 13 -15

x-y = -2     --------   (5)

Using elimination method on (4) and (5):

Subtracting (5) from (4):

x +2y = 4

x-y =   -2

3y = 6

y = 6/3 = 2

Put y = 2 into (4):    

x +2y = 4

x + 2(2) = 4

x + 4 = 4

x = 4-4 = 0

Therefore, the solution is x = 0, y =2, z = 5. The 3rd option is the answer.

Learn more about system of equations on:

https://brainly.com/question/13729904

#SPJ1

Solve negative one fifth times the quantity 4 minus 14 times the quantity one fourth squared end quantity end quantity.

18 over 80
one eighth
negative one and 28 over 80
negative five eighths

Answers

The value of negative one fifth times the quantity 4 minus 14 times the quantity one fourth squared end quantity is one eighth. Option B is correct.

We are given the following expression:

Negative one fifth times the quantity 4 minus 14 times the quantity one fourth squared end quantity.

Rewrite the given expression properly as:

-1/5 * (4 - 14) * (1/4)^2

Evaluate the difference, we will get;

-1/5 * (-10) * (1/4)^2

Evaluate the exponent, we will get;

-1/5 * (-10) * 1/16

This gives us;

2 * 1/16

Further, evaluation give us;

1/8

So, the value of the given expression is 1/8 or one eighth.

Option B is correct.

Thus, the value of negative one fifth times the quantity 4 minus 14 times the quantity one fourth squared end quantity is one eighth. Option B is correct.

To learn more about expression visit:

https://brainly.com/question/723406

#SPJ1

What is the answer to this question

Answers

Answer:

x = 11

Step-by-step explanation:

Let's have  one of the numbers be represented by the variable, x,  and the other number be represented with the variable, y

Since the sum of the two numbers is 55, we can write the following equation:

x + y = 55

Then since one number is 4 times as large as the other, we can write:  y = 4x

We can now substitute this expression for y into the second equation and solve by

combining like terms and using inverse operations to solve for x:

x + y = 55

x + 4x  = 55

5x = 55

5x/5 = 55/5

x = 11

One of the numbers is 11.

Since the sum of the numbers is 55, the other number will be 44.

Answer:

11 and 44

Step-by-step explanation:

→ Write 2 equations

x + y = 55

y = 4x

→ Substitute bottom equation into top

x + 4x = 55

→ Solve

x = 11

→ Find y

4 × 11 = 44

what is the theoretical flow time? (the minimum time required to produce a garage door from start to finish.) the potential answers are: a: 50 minutes. b: 54 minutes. c: 26 minutes. d: 56 minutes. e: 58 minutes.

Answers

Theoretical flow time = 58 minutes

The complete question is

Mamossa Assaf Inc. fabricates garage doors. Roofs are punched in a roof punching press (15 minutes per roof) and then formed in a roof forming press (8 minutes per roof). Bases are punched in a base punching press (3 minutes per base) and then formed in a base forming press (10 minutes per base), and the formed base is welded in a base welding machine (12 minutes per base). The base sub-assembly and the roof then go to final assembly where they are welded together (10 minutes per https://brainly.com/question/27786618garage) on an assembly welding machine to complete the garage. Assume one operator at each station.

Roof → Roof - punch(15 min) → Roof-form(8 min) →→→→→→→→↓

                                                                                      (10)Assembly→ Door

Base → Base - punch(3 min) → Base - form(10 min) → weld(12 min)↑

Roof path = 15 + 8 = 23

Base path = 3 + 10 + 12 =25

Theoretical flow time = Roof path + base path + assembly = 23 + 25 +10 = 58 mins

To learn more about Theoretical flow time :

https://brainly.com/question/27786618

#SPJ4

Noemi strings together x green beads at $0. 75 each with 3 blue beads at $0. 30 each. She makes a bracelet that averages $0. 60 per bead. Choose an equation to model the situation.

Answers

The model equation for the given situation is

$0.75x + $0.90)/(3 + x) = $0.60 where,

x ----> known number of green beads

$0.60 ---> bracelet average per bead

Averages cost is defined as the ratio of total cost of all purchsed expenses to the total numbers of purchsed expenses in counts .

We have given that,

Noemi strings x green beads and 3 blue beads.

Cost of each green beads = $0.75

Cost of each blue beads = $0.30

Total cost of purchasing is product of total number of expenses by cost of each expense. So, Total cost of green beads = $ 0.75 x

Total blue bead cost = 3 x 0.3 = $ 0.9

Total number of beads used by Noemi = x + 3

Total cost of all beads (green+blue)

= $(0.75x + 0.9

Average of bracelets is $0.60 per bead

So average formula ,

($0.75 x + $0.9)/(x+3) = $0.60

or 0.75 x + 0.9 = 0.60x+ 0.18 => 0.75x - 0.60x= 0.9

=> 0.15x = 0.9 => x = 6 i.e we get total 6 green beads if solve the model.

Hence, equation of model in this situation is

($0.75 x + $0.9)/(x+3) = $0.60

To learn more about Modeling in real life , refer:

https://brainly.com/question/28551037

#SPJ4

8. Dagne measures and finds that she can do a vertical jump that is 27.5% of her height. If Dagne can jump 13.2 inches, how tall, in inches, is she

Answers

36.3 inches the tall is she in.

Given that;

Percentage of vertical jump height = 27.5%

Dagne's height = 13.2 inches

We need to find:

Height of jump

We know that the formula for Computation:

Height of jump = Percentage of vertical jump height × Dagne's height

so,

Height of jump = 13.2 × 27.5

That equals to

Height of jump = 36.3 inches

Hence the answer is 36.3 inches the tall is she in.

To learn more about computation, click here https://brainly.com/question/1216161

#SPJ9

The PTA is purchasing 5 gallon tubs of ice cream for
ice cream sundaes. One gallon of ice cream is 16 Cups
b) How many 1 cup servings are in a 5 gallon tub?

Answers

5 gallon tubs of ice cream will make 80 cups of ice cream servings.

According to the question,

We have the following information:

The PTA is purchasing 5 gallon tubs of ice cream cups. One gallon of ice cream is 16 Cups.

Now, we know that when we have to find cost or number of any product then we use multiplication.

Now, we have the following expression:

1 gallon of tub = 16 cups of ice cream

5 gallon of tubs = 5*16 cups of ice cream

5 gallon of tubs = 80 cups of ice cream

Hence, 5 gallon tubs of ice cream will make 80 cups of ice cream servings.

To know more about tubs of ice cream here

https://brainly.com/question/21093199

#SPJ1

Your brother is 13 your age. Your sister is 6 years older than your brother. Your sister is 10 years old. Write and solve an equation to find your age a.


An equation is

=10.


You are

12 years old.

Answers

The required age from the equation is 12 years old

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the age to be calculated be = a

The age of the brother be b = ( 1 / 3 ) a

Multiply by 3 on both sides , we get

a = 3b

So , Age to be calculated a = 3b

The age of sister c = 6 years elder than brother

So ,

The age of sister c = b + 6

The age of sister c = 10

From the equations , we can simplify that

c = b + 6

Substituting the value for c , we get

10 = b + 6

Subtracting 6 on both sides , we get

b = 4

Now , from the equation , we get

Age to be calculated a = 3b

                                      = 3 x 4

                                      = 12 years old

Hence , the age to be calculated a is 12 years old

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ1

I need help on this !!!

Answers

We can make 75 different outfits by using the fundamentals of the counting principles.

Fundamental of counting principles: It states that if there are m ways of making one choice, n ways of making a second choice, and p ways of making the third choice then there are m x n x p ways of making the first choice, followed by the second choice, and followed by the third choice.

Given that:

The different number of tops (m) = 5

The different number of bottoms (n) = 5

The different number of shoes or boots (p) = 3

Then, according to the fundamental of counting principles, we will multiply the different numbers of tops (m) which is the first choice, different numbers of bottoms (n) which is the second choice, and different numbers of shoes or boots (p) which is the third choice.

Therefore, the different outfits we can make = m x n x p

                                                                            = 5 x 5 x 3

                                                                            = 75 different outfits

Hence, we can make 75 different outfits.

To learn more about problems related to outfits visit: https://brainly.com/question/16478199

#SPJ1

Other Questions
A complaint about bureaucracies is the ________ often involved in dealing with them. is government spending better measured as a percentage of gdp or in nominal dollars With fewer managers and more people in positions without managerial accountability, which building block will you rely upon to ensure jobs are properly supervised?. Graph the solution to the equation y=1/4+2 and y=2x7 which of the following businesses would most likely have the longest operating cycle? multiple choice a chain of coffee shops a national sporting goods chain an antiques dealer a christmas tree farm Solve the simultaneous equations PLS HELP HIGH POINTSWhich term describes this reaction?~KIK-TKH3N+-C-CadditionOcondensationx eliminationO substitutionH-N-C-CHOHN-C-C-IN-C-CHHH PLEASE HELP WILL GIVE 20 POINTS, 5 STAR RATING, AND BRAINLIEST, PLEASE HELP ASAPPP!!!!!, if wrong will report and give a 0 rating on personal account. PLEASE HELPPPP!!!!! How does expected inflation occur? 1. When mountain climbers hike up Mount Everest, they carry bottles of oxygen because the pressure decreases. At the top, the pressure can reach as low as 0.20 atm. If they bring 15 L of oxygen, stored at a pressure of 40 atm, what will be the volume of the gas when it is released at the top of the mountain? Assume that the temperature does not change as you climb the mountain. What personal traits aid Rainsfords survival? (explain with citing of the text using the START strategy - START being S-source T-title A-author R- right verb T-topic) What is the slope of a line parallel to the line whose equation is x + y = 6 consider a steam power plant operation on the simple ideal rankine cycle. the steam enters the turbine at 3 mpa and 350 oc and is condensed in the condenser at a pressure of 75 kpa. determine the thermal efficiency of this cycle. Budgeting Quick CheckDefine autonomous consumption (1 point)Autonomous consumption is the amount that a person must spend on basic needs (such as food andhousing) regardless of his or her income.Autonomous consumption is the amount that a person chooses to spend over the costs of his or her basicneeds, such as food and housingAutonomous consumption is the amount that a person spends on himself or herself and does not include anyshared expenses, such as the cost of housing if other people also live in the dwellingAutonomous consumption is the amount that a person spends on other people and does not include anyexpenses that are spent solely for oneself, such as food or luxury items whats meaning abt "bangsat" In "i have a dream," dr. King tells his listeners that they should not "wallow in the valley of despair. " what feeling is he urging them to avoid?. cloud kicks wants to track shoe designs by products. shoe designs should be unable to be deleted, and there can be multiple designs for one product across various stages. which two steps should the administrator configure to meet this requirement? Consider a box resting on a horizontal surface. The box has a mass of 2.13 kg and the coefficient of static friction between the box and the surface is 0.151. Determine the force that must be applied down at a 37.8 angle to the horizontal to make the box start moving. Match each stage of translation with the key events that occur during that stagea. Initiationb. Elongationc. Termination1. Peptide bonds are formed between amino acids to synthesize a polypeptide2. mRNA, tRNA, and ribosomal subunits are assembled3. A release factor bind to the A site of the ribosome A lighthouse is 160 feet tall. A scale model of the lighthouse has a scale of 1 in: 8 ft. How tall is the model of the lighthouse in inches?.