Please help ASAP! Thanks! For the figures below, assume they are made of semicircles, quarter circles and squares. For each shape, find the area and perimeter. Give your answer as a completely simplified exact value in terms of π (no approximations).

Please Help ASAP! Thanks! For The Figures Below, Assume They Are Made Of Semicircles, Quarter Circles

Answers

Answer 1

Answer:

Part 1) [tex]A=36(\pi-2)\ cm^2[/tex]

Part 2) [tex]P=6(\pi+2\sqrt{2})\ cm[/tex]

Step-by-step explanation:

Part 1) Find the area

we know that

The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle

so

[tex]A=\frac{1}{4}\pi r^{2}-\frac{1}{2}(b)(h)[/tex]

we have that the base and the height of triangle is equal to the radius of the circle

[tex]r=12\ cm\\b=12\ cm\\h=12\ cm[/tex]

substitute

[tex]A=\frac{1}{4}\pi (12)^{2}-\frac{1}{2}(12)(12)[/tex]

[tex]A=(36\pi-72)\ cm^2[/tex]

simplify

Factor 36

[tex]A=36(\pi-2)\ cm^2[/tex]

Part 2) Find the perimeter

The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle

The circumference of a quarter of circle is equal to

[tex]C=\frac{1}{4}(2\pi r)=\frac{1}{2}\pi r[/tex]

substitute the given values

[tex]C=\frac{1}{2}\pi (12)[/tex]

[tex]C=6\pi\ cm[/tex]

The hypotenuse of right triangle is equal to (applying the Pythagorean Theorem)

[tex]AC=\sqrt{12^2+12^2}[/tex]

[tex]AC=\sqrt{288}\ cm[/tex]

simplify

[tex]AC=12\sqrt{2}\ cm[/tex]

Find the perimeter

[tex]P=(6\pi+12\sqrt{2})\ cm[/tex]

simplify

Factor 6

[tex]P=6(\pi+2\sqrt{2})\ cm[/tex]

Answer 2

Answer:

36(π-2)cm^2 is area

Perimeter is 6(π+2√2)

Step-by-step explanation:


Related Questions

16 please like I’m dying here

Answers

Answer:

well i need to see the graph

Step-by-step explanation:

y = (-1/3)x + 3 is the answer in slope intercept formx+3y = 9 is the answer in standard form

Both forms are equivalent, just different ways to write the same thing

==============================================

Explanation:

Use the slope formula first

The points we plug in are (x1,y1) = (-3,4) and (x2,y2) = (6,1)

m = (y2-y1)/(x2-x1)

m = (1-4)/(6-(-3))

m = (1-4)/(6+3)

m = (-3)/(9)

m = -1/3

The slope of the line is -1/3

Use one of the points, say the point (x,y) = (-3,4) and the slope we just found with y = mx+b. The goal is to solve for b

y = mx+b

4 = (-1/3)*(-3) + b

4 = 1 + b

4-1 = b

3 = b

b = 3

We have m = -1/3 as the slope and b = 3 as the y intercept

Therefore, the equation in slope intercept form is y = (-1/3)x + 3

In standard form, Ax+By = C, this is is equivalent to x+3y = 9 after we multiply both sides by 3, then add x to both sides.

An apartment building currently has rented x apartments with two occupants and 16 apartments with one occupant. The apartment building has 92 total occupants.

2× + 16 =92

How many double-occupancy apartments are currently rented?

Answers

The currently rented double-occupancy apartments are 38 apartments.

Step-by-step explanation:

An apartment has rented x apartments with two occupants and 16 apartments with one occupant and the total occupants were 92, these can be written in the equation as

[tex]2x+16=92[/tex]

To find the number of double occupancy apartments that are rented, we need to solve the equation and find the value of x.

[tex]2x+16=92[/tex]

Subtracting 16 from both sides of the equation,

[tex]\begin{aligned}&2 x=92-16\\&2 x=76\end{aligned}[/tex]

Dividing both sides by 2, we get,

[tex]\begin{aligned}\frac{2 x}{2} &=\frac{76}{2} \\x &=38\end{aligned}[/tex]

Thus, there are 38 double-occupancy apartments are currently rented.

The correct answer is that there are 38 double-occupancy apartments currently rented.

To solve the problem, we start with the given equation that represents the total number of occupants in the apartment building:

[tex]\[ 2x + 16 = 92 \][/tex]

This equation takes into account that each double-occupancy apartment (x) houses two occupants, and there are also 16 single-occupancy apartments. We want to find the value of x, which represents the number of double-occupancy apartments.

First, we subtract 16 from both sides of the equation to isolate the term with x:

[tex]\[ 2x + 16 - 16 = 92 - 16 \][/tex]

[tex]\[ 2x = 76 \][/tex]

Next, we divide both sides of the equation by 2 to solve for x:

[tex]\[ \frac{2x}{2} = \frac{76}{2} \][/tex]

[tex]\[ x = 38 \][/tex]

Therefore, there are 38 double-occupancy apartments currently rented in the building. This matches the correct answer provided at the beginning.

Which expressions are polynomials?

Select each correct answer.




6 + w

2x4−y

z + 1

y2−y√3+4

Answers

Answer:

It is 6+w, z=1, and 2x^4-y

Step-by-step explanation:

The expressions which are polynomials are;

6+ w2x⁴ - yz + 1y² - y√3 + 4

What is a polynomial?

A polynomial by definition is an expression which is composed of variables, constants and exponents, which are combined using the mathematical operations including addition, subtraction, multiplication and division.

On this note, all of expressions are polynomials.

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in a certain class,10 of 24 students play sports. what is the ratio of students who play sports to those who do not?

Answers

Answer:

Step-by-step explanation:

Student who don't play sports =  24 - 10 = 14

the ratio of students who play sports to those who do not = 10 : 14 = 5:7

Step-by-step explanation:

10:24

5:12

is can be you answer

how do u figure out the area of a rectangle ​

Answers

Answer:

Step-by-step explanation:

Hey there) We do it like this:

[tex]6\times 3\times 4+3\times 3\times 2=90[/tex]

Hope, this helps. Have a nice day :)

PLEASE ANYONE!!!
The table below shows selected points from a function.


The rate of change for the interval shown in the table is

A. constant

B. not constant

part b

A. linear

B. not linear

Answers

Constant but not linear.

a company pays its salespeople $2,000 a month and a commission of 18% of their total sales (T). which of the following equations represents a salespersons total monthly income (I) ?

Answers

Answer:

2,360

Step-by-step explanation:

18% of 2,000 is 360

(0.18)*(2,000)=360

2,000 + 360 = 2,360

Answer: I=2000 + 0.18 T

Step-by-step explanation:

Peter needs to sell 40 candy bars to raise money for his basketball team. He sold 16 bars last week and 18 bars this week. How many more candy bars does Peter need to sell?

Answers

16+18  = 34

40 - 34 = 6

He needs to sell 6 more candy bars.

A, B, C? No explanation needed.

Answers

Answer: the answer is b

Step-by-step explanation: you said you needed none.

PLEASE HELP
Using the two-way table, what percentage of the students that do not like to travel out of state like camping? Round to the nearest whole percent.


Likes Traveling Out of State Does Not Like Traveling Out of State Row totals
Likes Camping 52 38 90
Does Not Like Camping 36 74 110
Column totals 88 112 200
32%
34%
38%
42%

Answers

The answer is B. 34%.

The percentage of the students that do not like to travel out of state like camping will be 41%. Then the correct option is D.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol '%' is used to symbolize it.

The two-way table is given below.

                                Likes Traveling        Does Not Like Traveling    Totals

Likes Camping                 52                                      38                         90

Do Not Like Camping      36                                      74                         110

Column totals                   88                                      112                        200

Then the percentage of the students that do not like to travel out of state like camping will be

P = (36 / 88) x 100

P = 0.409090 x 100

P = 40.90%

P ≈ 41%

Thus, the percentage of the students that do not like to travel out of state like camping will be 41%.

Then the correct option is D.

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Write an equation that represents the sum of b and 5x2

Answers

Answer:

The expression that represents the sum of b and [tex]5x^2[/tex] is [tex]b+5x^2[/tex]

Step-by-step explanation:

Given that the sum of b and [tex]5x^2[/tex]

To find the expression that represents the sum of b and [tex]5x^2[/tex] :

The sum of b and [tex]5x^2[/tex] can be written as [tex]b+5x^2[/tex]

Therefore The sum of b and [tex]5x^2[/tex] is [tex]b+5x^2[/tex]

The expression that represents the sum of b and [tex]5x^2[/tex] is  [tex]b+5x^2[/tex]

What is the best estimate for this sum? 1/8+1/6

Answers

Final answer:

The best estimate for the sum of 1/8 and 1/6 is 5/24.

Explanation:

The best estimate for the sum of 1/8 and 1/6 is 5/24.

To find the sum of fractions, we need to find a common denominator, which is the least common multiple of the denominators. In this case, the LCM of 8 and 6 is 24.

Thus, we can rewrite 1/8 as 3/24 and 1/6 as 4/24.

Adding 3/24 and 4/24 gives us a total of 7/24, which can be simplified to 5/24.

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The best estimate for the sum of 1/8 and 1/6 is 1/4. Thus, the closest estimate is Option A.

To determine the best estimate for the sum of 1/8 and 1/6, we can use approximate fractions that are easier to work with. 1/8 is approximately equal to 0.125 and 1/6 is approximately equal to 0.167. Adding these decimal values together gives us:

0.125 + 0.167 ≈ 0.292

Given this, we can conclude that the sum will be closer to 1/4 than to 1/2 or 1. So, the best estimate for the given sum is Option A.

Complete question:

​What is the best estimate for this sum?

1/8+1/6

A. The sum will be close to 1/4.

B. The sum will be close to 1/2.

C. The sum will be close to 1.

what is the equation of a line that passes through (1,3) and (4,9)

Answers

y = 2x + 1 is the equation of a line that passes through (1,3) and (4,9)

Solution:

Given that we have to write the equation of a line that passes through (1,3) and (4,9)

Let us first find the slope of line

The slope of line is given as:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Here the given points are (1,3) and (4,9)

[tex](x_1, y_1) = (1, 3)\\\\(x_2, y_2) = (4, 9)[/tex]

Substituting the values in formula, we get,

[tex]m = \frac{9-3}{4-1}\\\\m = \frac{6}{3} = 2[/tex]

Thus slope of line is 2

The equation of line in slope intercept form is given as:

y = mx + c -------- eqn 1

Where, "m" is the slope and "c" is the y - intercept

To find the y intercept, substitute (x, y) = (1, 3) and m = 2 in eqn 1

3 = 2(1) + c

c = 1

Thus the equation of line is:

Substitute c = 1 and m = 2 in eqn 1

y = 2x + 1

Thus equation of line is found

Water tank A has a capacity of 250 gallons and is 77% full. Water Tank B is 68% full. The ratio of the capacity of tank A to tank B is 5 : 14. What is the capacity of tank B?

Answers

Answer:

Water tank A has a capacity of 250 gallons and is 77% full. Water Tank B is 68% full. The ratio of the capacity of tank A to tank B is 5 : 14. What is the capacity of tank B?

Step-by-step explanation:

Water tank A has a capacity of 250 gallons and is 77% full. Water Tank B is 68% full. The ratio of the capacity of tank A to tank B is 5 : 14. What is the capacity of tank B?

Solve the following systems of equations.
2= 2y + 5
| 3y - 3x = -12

Answers

Answer:

x=5/2, y=-3/2. (5/2, -3/2).

Step-by-step explanation:

2=2y+5

3y-3x=-12

--------------

2-5=2y

2y=-3

y=-3/2

3(-3/2)-3x=-12

-9/2-3x=-12

3x=-9/2-(-12)

3x=-9/2+12

3x=-9/2+24/2

3x=15/2

x=(15/2)/3

x=(15/2)(1/3)

x=15/6=5/2

The solution for the system of equations is x = -5/2 and y = -3/2.

To solve the system of equations given, one can use substitution or elimination methods. The first equation 2= 2y + 5 can be rearranged to solve for y:

2y = 2 - 5

2y = -3

y = -3/2

Using the second equation 3y - 3x = -12, we substitute y with -3/2 to solve for x:

3(-3/2) - 3x = -12

-9/2 - 3x = -12

3x = -12 + 9/2

3x = -15/2

x = -15/6

x = -5/2

Therefore, the solution for the system of equations is x = -5/2 and y = -3/2.

What type of function is shown above?

A. Exponential
B. absolute value
C. Polynomial
D. Step

Answers

A is the answer exponential is the chat

Answer:

that would be an exponential function

Step-by-step explanation:

Consider the solution to the linear equation. 5 (x + 6) = 50. 5 x + 30 = 50. 5 x = 20. x = 4. Which describes the inverse operations used after the distributive property? addition then division subtraction then division multiplication then subtraction division then addition

Answers

Answer:b

Step-by-step explanation:

Answer:

Subtraction then Division

Step-by-step explanation:

Right on Edg

Which ordered pair is a solution to the system of linear equations Negative 4 x + y = 8 and x minus 5 y = 17?

Answers

Answer:

(-3, -4).

Step-by-step explanation:

-4x + y = 8

x - 5y = 17           Multiply this by 4:

4x - 20y = 68     Add this to the first equation:

-19y = 76

y = 76/-19

y = -4.

Plug this into the second equation:

x - 5(-4) = 17

x = 17 - 20

x = -3.

CHECK this result in equation 1:

-4(-3) + -4 =  8

12 - 4 = 8

8 = 8  <------ OK.

The solution of the given system of equations is [tex]y=-4[/tex].

Important information:

[tex]-4x+y=8[/tex]          ...(i)[tex]x-5y=17[/tex]          ...(ii)System of equations:

Multiply both sides by 5 in equation (i).

[tex]-20x+5y=40[/tex]         ...(iii)

Add equation (ii) and (iii).

[tex]-19x=57[/tex]

[tex]x=\dfrac{57}{-19}[/tex]

[tex]x=-3[/tex]

Substitute [tex]x=-3[/tex] in (i).

[tex]-4(-3)+y=8[/tex]

[tex]12+y=8[/tex]

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

[tex]y=-4[/tex]

Thus, the solution of the given system of equations is [tex]y=-4[/tex].

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What is a 1 killometers= ?

Answers

Answer:

0.62 miles

Step-by-step explanation:

ask google or siri

Enter an algebraic expression that represents the difference between e squared and twenty-one.

Answers

Answer:

e

[tex]d = e {}^{2} - 21 [/tex]

Answer:

e

Step-by-step explanation:

d = e {}^{2}  - 21

Nia told Patrick that her new backpack only cost $14 because she used a 30% off coupon when she bought it. Patrick wants to buy a similar backpack. How much will it cost if he does not have a 30% coupon?

Please answer quick, and please show steps on how you did it, tysm.

Answers

14 ÷ 0.30 = 46.6

i would say if he doesn’t have a coupon it would be roughly $46.6
Final answer:

Nia's backpack after 30% off represents 70% of the original backpack cost. Setting up a ratio of 70/100 = 14/X, we can solve for the original price, X. Patrick will pay $20 if he does not have a 30% off coupon.

Explanation:

This problem can be solved using a bit of Percentage Calculations. We know that after a 30% discount, Nia's backpack cost $14. This means that $14 represents 70% of the original backpack cost (100% - 30%). So to find out the 100%, or the full price, we need to determine what number 70% is 14 of. We can set up a ratio to find the original cost (X).

The steps are:

We write the equation 70/100 = 14/X where X is the original price.Then we cross-multiply to solve for X: 70 * X = 100 * 14. Which simplifies to X = (100 * 14) / 70Calculate the value to get X = 20.

So, the backpack would cost Patrick $20 without a 30% off coupon.

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Which is the solution of this system of equations? y=5x−83y=x+18

y+5(3)=15

Answers

Answer:

y=5x−83y=x+18    (the question is wrong; it has 2 equal signs)

y+5(3)=15

y+15=15   (multiply 5*3; you get 15)

y= 15-15

y= 0

Answer:

x=3, y=7

Step-by-step explanation:

What’s 448+1.75+80.3 step by step

Answers

Answer:

530.05

Step-by-step explanation:

you add 448 and 1.75 together, which is 449.75, then you add 449.75 and 80.3 together, which adds up to 80.3 hope this helps :)

Find the sum of the whole numbers from 1 to 960

Answers

Step-by-step explanation:

A quick way to do this sort of question:

First add the last number and the first number:

1 + 960 = 961

Then divide the total amount of numbers by 2.

960 ÷2 = 480

Now multiply these two numbers together:

961 × 480 = 461280

Final answer:

The sum of the whole numbers from 1 to 960 can be found using the formula for the sum of an arithmetic series. By substituting the values into the formula, we find that the sum is 461280.

Explanation:

The sum of the whole numbers from 1 to 960 can be found using a simple formula for the sum of an arithmetic series. The formula is S = n/2 * (a + l), where 'n' is the number of terms, 'a' is the first term, and 'l' is the last term.

In this case, 'n' is 960 (there are 960 terms from 1 to 960), 'a' is 1 (the first term), and 'l' is 960 (the last term).

Plug these values into the formula to get: S = 960/2 * (1 + 960) = 480 * 961 = 461280. So, the sum of the whole numbers from 1 to 960 is 461280.

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angle K and angle L are complementary angels. If the measurement of angle K =(3x+3) and the measurement of angle L =(10x-4).what is the measure of each angle

Answers

The measurement of two angles is 24° and 66°

Step-by-step explanation:

First of all, let us define complementary angles

The angles whose sum is 90° are called complementary angles

Given

∠K = (3x+3)

∠L = (10x-4)

According to the definition,

[tex]K+L = 90\\3x+3 + 10x-4 = 90\\13x -1 = 90\\13x-1+1 = 90+1\\13x = 91[/tex]

Dividing both sides by 13

[tex]\frac{13x}{13} = \frac{91}{13}\\x = 7[/tex]

So,

∠K = 3x + 3 = 3(7) + 3 = 21+3 = 24°

∠L = 10x - 4 = 10(7) -4 =70 -4 = 66°

Hence,

The measurement of two angles is 24° and 66°

Keywords: Complementary angles, Angles

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Steve is driving 440 miles to visit the Grand Canyon he drives at an average rate of 55 mph explain how you could find the amount of time it will take Steve to get to the Grand Canyon

Answers

Answer:

8 hour.

Step-by-step explanation:

because for it takes 1 hour for 55 miles .

so,

here, divide the 440/55 =8 hours.

explanation,

it takes 1 hour to complete the 55 miles and here we have to complete the 440 miles.

so, above we divide the 440 miles by 55 miles for hour. result =8 hour

to verify the answer.

you can multifly by 8 * 55 and result=440miles. because it is directily propotional.

for another to verify the answer.

dived the 440/8 and result comes=55 miles / hour.becauseit is directly propotional.

Final answer:

Therefore, it will take Steve approximately 8 hours to drive to the Grand Canyon.

Explanation:

To find the amount of time it will take Steve to get to the Grand Canyon, you can divide the distance he needs to travel (440 miles) by his average rate (55 mph). This will give you the time it takes in hours:

Time = Distance / Rate

So, in this case:

Time = 440 miles / 55 mph = 8 hours

Therefore, it will take Steve approximately 8 hours to drive to the Grand Canyon.

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What is y = 4 * (0.8) ^ t

Answers

Final answer:

The function y = 4 * (0.8)^t is an exponential decay function, representing the decrease of a quantity over time, with y being the value at time t. To find y at any given t, substitute t into the equation and calculate the result.

Explanation:

The given function y = 4 * (0.8)^t is an exponential decay function, where y represents the value of the function at time t, the number 4 is the initial value of the function when t = 0, and 0.8 is the decay factor relevant for each time unit. This type of function is often used in contexts such as radioactive decay, depreciation of value over time, or population decrease in a closed environment, where some quantity decreases by a consistent percentage over equal time intervals.

To solve for y at a given time t, simply substitute the value of t into the function and evaluate the exponential expression. It is important to use a calculator or software tool to evaluate the exponential term accurately when t is not a round number.

Which statements are true? Check all that apply.


KJ is a chord.

F is point of tangency for FE.

MH is a secant segment.

GN is a secant segment.

C is a point of tangency for DC.

The answer is:
the first, second, and fourth options.
KJ is a chord.
F is point of tangency for FE.
GN is a secant segment.

Answers

Answer:

1,2,4

Step-by-step explanation:

KJ is chord.

F is point of tangency.

GN is secant segment.

Answer:

1, 2, 4

Step-by-step explanation:

one for the team

Slope=2; (14,33)

What is the slope

Answers

Step-by-step explanation:

Hi! I am a little confused because in this question they would normally ask for the equation of the line but if you are wondering what the slope is, it says in the information that the slope is 2. I will solve for the line equation anyway though.

A line has this form: y=mx+b.

For this question they will want us to give the answer with x and y as variables (letters) and m and b (the slope and y-intercept respectivly) with numerical values.

First, we can put in the point into the equation. The point given is (14,33) so the x value is 14 and they y value is 33.

y=mx+b

33=m(14)+b

We know the slope is 2 (from the given information) so we can substitute that in for m.

33=(2)(14)+b

Solving for b, the Y-intercept, we get b=5.

Perhaps your question was "what is the Y-intercept" and then this would be the answer.

Finally, the final equation for the line is:

y=2x+5

Hope this helps!

y=x^2+8x+12 find the y-intercept for the parbola

Answers

Answer:

Y(x+2) (x+6)

Step-by-step explanation:

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When you edit a document that has the Track Changes feature enabled, Word marks all text or graphics that you insert, delete, or modify and refers to the revisions as ____. if the origin is the midpoint of the line segment joined by the points (2,3) (x,y) find x and y The agreement that calls for global efforts to reduce emissions of carbon dioxide and other heat-trapping gases is known as the ________. Job A pays $28.59 per hour. JobB pays $25.71 per hour, but hashealth benefits. Lauren will needto buy health insurance for $6650per year if it's not a job benefit. IfLauren expects to work 2,000hours during the year, andignoring taxes, which job shouldLauren take to have morespending cash? Evaluate -|-8 - 2|-6-1010 A person has a 35 percent chance of winning on a scratch-off lottery ticket. What is the probability she first wins of the sixth ticket? (0.65)3 (0.35) (0.65)3 (0.35) (0.35)3 (0.65) () (0.35) (0.65) 0.35 Titanium is a transition metal used in many alloys because it is extremely strong and lightweight. Titanium tetrachloride (TiCl4) is extracted from titanium oxide using chloride and coke (carbon).A) what mass of Cl2 gas is needed to react with 3.09 mol TiO2?C) what is the mass of all the products formed by reaction with 3.09 mol TiO2 All of the following are similarities between the US and state constitutions EXCEPT:A. They all have a Bill of Rights.They all list ways to amend the constitution.C. They all follow the same process for voting on amendments.D. They all identify separation of powers between the three branches of government. Solve for x in the equation x squared minus 4 x minus 9 = 29. x = 2 plus-or-minus StartRoot 42 EndRoot x = 2 plus-or-minus StartRoot 33 EndRoot x = 2 plus-or-minus StartRoot 34 EndRoot x = 4 plus-or-minus StartRoot 42 EndRoot Find the change in internal energy of a system which receives 70 J of heat from its environment and does 20 J of work.Select one:a. 90 Jb. 50 Jc. Zerod. -70 J Which particular theory of history does the following statement represent: "The Union's victory in the Civil War can be attributed to the determination and political genius of Abraham Lincoln; without Lincoln's leadership, the Union could not have prevailed." Let's assume that you wrote a query that has the following four clauses: SELECT, FROM, WHERE, ORDER BY. The order in which the four SQL query clauses are executed is _____ _____ _____ _____. (separate your answers by commas.) 3. An engines fuel is heated to 2,000 K and the surrounding air is 300 K. Calculate the ideal efficiency of the engine. Hint: The efficiency (e) of a Carnot engine is defined as the ratio of the work (W) done by the engine to the input heat QH : e=W/QH. W=QH QC, where Qc is the output heat. That is, e=1-Qc/QH =1-Tc/TH, where Tc for a temperature of the cold reservoir and TH for a temperature of the hot reservoir. The unit of temperature must be in Kelvin. A(n) _____ is an unintentional, electrically conductive connection between an ungrounded conductor of an electrical circuit, and the normally noncurrent-carrying conductors, metallic enclosures, metallic raceways, metallic equipment, or earth. Perform the following unit conversions using units of length, mass, and time only to convert. Show your work, do not just use Google.(a) 1 L to in.3(b) 0.135 kW to ft.lbf./s(c) 304 kPa to psi(d) 122 ft.3 to m3(e) 100 hp to kW(f) 1000 lbm. to kg Radiation from the Sun The intensity of the radiation from the Sun measured on Earth is 1360 W/m2 and frequency is f = 60 MHz. The distance between the Earth and the Sun is 1.5 x 1011 m.a) Assuming it radiates uniformly in all directions what is the total power output of the Sun?b) If the frequency increases by 1 MHz what would be the relative (percentage) change in the power output? c) For frequency in b) what is the intensity of the radiation from the Sun measured on Mars? Note that Mars is 60% farther from the Sun than the Earth is. Explain the inherent risks associated with physical activity in extreme environments John and Brett have determined that the break-even point for their educational toys business is 60,000 units per month. Any units that John and Brett sell above 60,000 represent ________. what was the 50th state in the union? Sally found 58 seashells on the beach, she gave Jason some of her seashells. She has 28 left. How many seashells did she give to Jason? Steam Workshop Downloader