This composite figure is made up of three simpler shapes. What is the area of
the figure?
7 cm
4 cm
5 cm
4 CE
8 cm
A. 66 square cm
R 50 square cm
C. 46 square cm
D. 80 square cm

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C. 4.

Answer:

a) The total engine volume is 30.3265 in³

b) the mass of air contained in the engine is 0.00129 lbm

c) The efficiency of the engine is 55.6%

Step-by-step explanation:

Given the data in the question;

The configuration is in line with four-stroke, four-cylinder engine.

Bore ( d ) = 3.17 in

Stroke ( L ) = 3.48 in

compression ratio ( r ) = 10.6 : 1

First, we calculate the swept Volume V₁ = π/4 × d²L

we substitute

V₁ = π/4 × (3.17 )² × (3.48) = 27.4655 in³

Now, Compression Ration; r = Vs + Vc / Vc

r = (V₁ + V₂) / V₂

we substitute

10.6 = (27.4655 + V₂) / V₂

10.6V₂ = 27.4655 + V₂

10.6V₂ - V₂ = 27.4655

9.6V₂ = 27.4655

V₂ = 2.861 in³

So

a) total engine volume

[tex]V_{BDC[/tex] = V₁ + V₂

we substitute

[tex]V_{BDC[/tex] = 27.4655 in³ + 2.861 in³

[tex]V_{BDC[/tex] = 27.4655 in³ + 2.861 in³

[tex]V_{BDC[/tex] = 30.3265 in³

Therefore, The total engine volume is 30.3265 in³

b) The mass of air

given that; T = 540°R, P = 14.7 psia

we know that; PV = mRT   { R is constant }

we solve for m

m = PV / RT

we substitute

m = (14.7 × 30.3265)  / ( 0.3704 × 1728 )540

m = 445.79955 / 345627.648

m = 0.00129 lbm

Therefore, the mass of air contained in the engine is 0.00129 lbm

c) The efficiency

from table { properties of air}

At 540°R; u₁ = 92.04 BTu/lbm, u[tex]_r[/tex]₁ = 144.32

Now process 1 - 2 ( Isentropic )   u[tex]_r[/tex]₁ / u[tex]_r[/tex]₂  = V₁/V₁ = r

so,  u[tex]_r[/tex]₁ / u[tex]_r[/tex]₂ = r

144.32  / u[tex]_r[/tex]₂ = 10.6

u[tex]_r[/tex]₂ = 144.32/10.6

u[tex]_r[/tex]₂ = 13.61

Thus, at u[tex]_r[/tex]₂ = 13.61, u₂ = 235 BTU/lbm, T₂ = 1340°R

Now, we know that;

P₁V₁/T₁ = P₂V₂/T₂  ⇒ (P₁/V₁)r = P₂/T₂

⇒ ( 14.7 / 540 )10.6 = P₂/1340

P₂ = 386.664 psia  

process 2 - 3; constant volume heat addition;

Now, At T₃ = 3600°R, u₃ = 721.44 BTU/lbm, u[tex]_r[/tex]₃ = 0.6449

so, [tex]q_{in[/tex] =  u₃ -  u₂

we substitute

so, [tex]q_{in[/tex] =  721.44  -  235  = 486.44 BTU/lbm

Next, process 3 - 4; Isentropic  

u[tex]_r[/tex]₄/u[tex]_r[/tex]₃ = V₄/V₃ = r

u[tex]_r[/tex]₄ / 0.6449  = 10.6

u[tex]_r[/tex]₄ = 6.8359

At u[tex]_r[/tex]₄ = 6.8359; u₄ = 308 BTU/lbm

∴

Heat Rejection [tex]q_{out[/tex] = u₄ - u₁ = 308 - 92.04 = 215.96 BTU/lbm

so, [tex]W_{net[/tex] = [tex]q_{in[/tex] - [tex]q_{out[/tex]

[tex]W_{net[/tex] = 486.44 - 215.96

[tex]W_{net[/tex] = 270.48 BTU/lbm

so the efficiency; η[tex]_{thermal[/tex] = ([tex]W_{net[/tex] / [tex]q_{in[/tex] ) × 100%

η[tex]_{thermal[/tex] = ( 270.48 / 486.44  ) × 100%

η[tex]_{thermal[/tex] = ( 0.55604  ) × 100%    

η[tex]_{thermal[/tex] = 55.6%

Therefore, The efficiency of the engine is 55.6%

Answer:

no. who eat lunch special = 12

no. who eat dessert = 6

Step-by-step explanation:

Let x = no. who eat lunch special

y = no. who eat dessert

(1)    8x + 2y = 108             (2)    6x + 3y = 90

 Divide thru by 2                         Divide thru by 3

      4x + y = 54                          2x + y = 30

     -2x - y = -30

       2x = 24

         x = 12                               2(12) + y = 30

                                                    24 + y = 30

                                                            y = 6

Answer:

The volume is x times x times x which is x^3 :)

Answer:

c is correct

Step-by-step explanation:

Answer:

c is right answer

Step-by-step explanation:

HOPE IT HELPS U

FOLLOW MY ACCOUNT PLS PLS

Answer:

1 1/4, -1, -1/4, 0, 1/4, 1

Step-by-step explanation:

Answer:

-1 1/4, -1, -1/4, 0, 1/4, 1,

Step-by-step explanation:

Answer:

Marie Skłodowska-Curie

Polish chemist and pioneer in the field of radioactivity. First woman to become a professor at the University of Paris.

^ po polsku być powinno

Kto Polska?

Answer:

40 gallons of milk

Step-by-step explanation:

trust me that's the answer

The farmer will get 35 gallons of milk from 14 cows.

Process:

1) find the unit rate. do this by taking the independent value and divide it by the dependent value

10/4=2.5

2) Take this number and multiply it by the next dependent value

2.5 x 14 = 35

Answer:

Answer:

45

Step-by-step explanation:

1/2×9×10

since the formula says half base times height, so therefore

Area =45

Answer:

15 x /2

Step-by-step explanation:

Answer:

Option B and D are correct

Step-by-step explanation:

Exponential functions are really useful in the real world situation. They can be used to solve following

a) Population Models

b) Determination of area and perimeters

c) Determine time related things such as half life, time of happening of an event etc.

d) Useful for solving financial problems such as computing investments etc.

Hence, option B and D

Answer:

30% ywww

Step-by-step explanation:

Answer:

I did the first one

Step-by-step explanation:

Hope I did it right

Answer:

The wright answer is A

Step-by-step explanation:

[tex] \sqrt{20} = 4.47 \\ \frac{14}{3} = 4.67 \\ 4.47 < 4.5 < 4.67[/tex]

Answer:

55

Step-by-step explanation:

The equation of the Ferris wheel circle is [tex](x-0)^{2} +(y - 104.375)^{2} = (100)^{2}[/tex]

A Ferris wheel is an amusement park ride consisting of a large vertical wheel with places for people to sit or stand spaced evenly around the outer circumference.

The standard equation of the circle is

[tex](x-h)^{2} +(y-k)^{2}= r^{2}[/tex]

Where,

(h, k) is the center of the circle

and, r is the radius of the circle

According to the given question.

The diameter of the Ferris wheel is 200 feet

[tex]\implies radius\ of \ the\ Ferris\ wheel = \frac{200}{2} = 100feet[/tex]

Height of the platform = 7 × 7.5 = 52.5 inches = 4.375 feet

Therefore,

[tex]k = 4.375+100 = 104.375feet[/tex]

and

[tex]h = 0[/tex]

Therefore, the equation of the Ferris wheel circle is

[tex](x-0)^{2} +(y - 104.375)^{2} = (100)^{2}[/tex]

Find out more information about equation of the circle here:

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Answer:

[tex]sec 0=\frac{\sqrt{66} }{8}[/tex]

Step-by-step explanation:

[tex]Cot0=-4\sqrt{2}[/tex]

[tex]sec0=\frac{\sqrt{33} }{4\sqrt{2} }[/tex]

[tex]=\frac{\sqrt{33} }{4\sqrt{4} } *\frac{4\sqrt{2} }{4\sqrt{2} }[/tex]

[tex]=\frac{4\sqrt{66} }{32}[/tex]

[tex]=\frac{\sqrt{66} }{8}[/tex]

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

hope it helps...

have a great day!!

You can fill the 10 gallon pail all the way up. After that, you can pour the water from the 10 gallon pail, into the 4 gallon pail 2 times. That will leave you with 2 gallons in the 10 gallon pail.

Answer:

Critical value ≈ 1.299

Step-by-step explanation:

number of Kidney transplant ( n )  = 49

Determine the critical value for the test

the sample mean = ∑ failure time / n  = 1252.28 / 49 = 25.56

next we determine the standard deviation of the sample

s = [tex]\sqrt{1/(n-1)(xi -X ) ^2}[/tex] = 17.3126

standard error = s / √n  = 17.3126 / 7 = 2.4732

Given  a significance level of 0.1

df (degree of freedom ) = n -1 = 49 - 1 = 48

∝ = 0.1

critical value = 1.299 ( using excel function ; =T.INV(0.90,48) )

Answer: 1/8

Step-by-step explanation: hoped this helped :))

Answer:

I believe the answer is 4

Step-by-step explanation:

Answer: Midpoint: (2, 1)

Step-by-step explanation:

Midpoint formula: ((x1 + x2)/2 , (y1 + y2)/2)

(-4 + 8)/2 = 2

(-8 + 10)/2 = 1

Answer: (2, 1)

Answer: 27

Step-by-step explanation:

y=2/3x-2

Explanation:

The equation of a line can be written as y=mx+c

m=slope and c = y-intercept

The point at the x−intercept has coordinates (-3,0)

In y=mx+c

0=2/3(3)+c

0=2+c

-2=c

The equation is y=2/3x-2

Answer:

[tex] y = \frac{2}{3} x - 3[/tex]

Step-by-step explanation:

Slope (m) = 2/3

y-intercept (b) = - 3

Equation of line in slope intercept form is given as:

[tex] y = mx + b[/tex]

Plug the values of m and b in the above equation, we find:

[tex]y = \frac{2}{3} x + ( - 3) \\ \\ y = \frac{2}{3} x - 3[/tex]

Answer:

TᗩKᗴ Tᕼᗴ ᗰIՏՏIᑎᘜ ᐯᗩᒪᑌᗴ ᗩՏ ᙭

[tex]4 + 9 = 9 + x \\ 4 + 9 - 9 = x \\ 4 = x[/tex]

=> ᵗʰᵉ ᵐⁱˢˢⁱⁿᵍ ᵛᵃˡᵘᵉ ⁱˢ 4.

The missing Value is 4.

According to the commutative property, the numbers on which we operate can be swapped out or moved without affecting the result. Subtraction and division are not supported by the property, but addition and multiplication are.

Given Expression

4 + 9 = 9 + ?

According to Commutative  property

A + B = B + A

for expression

4 + 9 = 9 + 4

or let missing number be x

4 + 9 = 9 + x

x = 4 + 9 - 9

x = 4

Hence the missing value is 4.

Learn more about Commutative property;

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Step-by-step explanation:

A.  1 cup of blue rate for 3/5 cup of red paint

B. 1 cup of flour for 2.5 muffins

C. r = d/t = 420 miles/7 hours = 60 miles per hour.

D. 48/3 = $16 for every hour

E. $15/6 = $2.5 for every hot dog

Answer:

95°

Step-by-step explanation:

95°

They are vertical angles.

Answer:

95 degree write it fast jakakkaoaoa