At which angle will the hexagon rotate so that it maps onto itself?

Answer:

C) (9,15)

Step-by-step explanation:

1) For each dot you go right 3 up 5 to get to the next dot.

2) right 3 up 5 from (6, 10) would be (9,15)

Answer:

Step-by-step explanation:

For x- coordinate we have:

For y-coordinate we have:

Missing point is (9, 15)

Correct choice is C

Answer:

10ft · (8ft) = 80 [tex]f^ {2} t^{2}[/tex]

3.14 = 80 [tex]f^{2} t^{2}[/tex]

Step-by-step explanation:

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:

21 students ride the bus

Answer:

13/52

Step-by-step explanation:

Answer:

Do you see the lines and how they are named? I am going to try and explain this in less words than I can. Where it says XS you have to match it up with the lines. But if it says that you have to find XSU (which it does not) you would have to go up all the way but you stop where it says the S so you wont go all  the way up to the U. I hope this helps!

Step-by-step explanation:

If we think over it, we could recognise that this question is like

How many 3's are in 6?

Probably the answer is

2

, as

6

÷

3

=

2

So, we divide

1

by

5

6

→

1

÷

5

6

→

1

⋅

6

5

→

6

5

⇒

1

1

5

=

1.2

So, there are

1

1

5

number of

5

6

's in

1

Answer:

3/(5/6)

Step-by-step explanation:

multiply the numerator and denominator by 6

18/5

Answer:

there are 35 bananas in B

Step-by-step explanation:

There are 16 bana

Answer:

My dude the groul that shows that tiny bit of smiling must be the beatles or backstreet boys

Answer:

1/3 * 84 = 28 were under 25

2/7 * 84 = 24 were at least 50

28 + 24 = 52

84-52 = 32 were between 25 and 50

Step-by-step explanation:

According to the given data,

By adding the probabilities, we get

→ [tex]P (D \leq = 2) = 0.301+0.176[/tex]

                     [tex]= 0.477[/tex]

Thus the response above is appropriate.

Learn more about probability here:

https://brainly.com/question/16790640

Answer:

0.097

Step-by-step explanation:

1) "First digit greater than 7" means that the first digit is 8 or 9.

2) P(first digit greater than 7)=0.051+0.046=0.097

3) 0.097

Answer:

First we need to see how many times 65% will make the price go up by 100%. We can see this by dividing 100 by 65. 100 divided by 65 is 1.53846153846. Now we can multiply 40 by 1.53846153846 and see what we get. 40x1.53846153846=$61.5384615384.

This is a lot of decibal numbers so if you seek more help then contact me on discord at Mousycritter#2842 for free advice!

Step-by-step explanation:

Answer:

if you help me ill help you

Step-by-step explanation:

Carmen's father is 28 years older than her and 3 years ago he was 5 times her age. What are their ages?

Answer:

H) 7x² + 8x - 2

Step-by-step explanation:

Answer:

150°

Step-by-step explanation:

We know each angle in a equilateral triangle is 60° and that of a rectangle is 90° . So ,

[tex]\implies \angle ABC = \angle DBC + \angle ABD \\\\\implies \angle ABC = 90^o + 60^o \\\\\implies \boxed{\boxed{ \angle ABC = 150^o }}[/tex]

Answer:

hi

Step-by-step explanation:

i think it is A

because

[tex] \frac{x}{3} + 10 = \frac{15}{3} + 10 = 5 + 10 = 15[/tex]

hope it helps

have a nice day

Answer:

answer is A and C

hope it helps

Answer:

Entras a una tienda ropa y hay un pantalón que valia 150 y ahora vale 90 y una camiseta que valia 40 ahora vale 24 ¿ tienen el mismo porcentaje de rebaja ? Justifica tu respuesta

Answer: Hewo, there! your answer is Below

There are 60 mins In 11 a.m And every hour

Step-by-step explanation:

You can easily convert 1 hour into minutes using each unit definition:

Hour

hour = 60 min = 3600 s

Minutes

minute = 60 s = 60 s

Hope this helps you!!

Have a great day!!

Answer:

their are 60 minutes in 11 am

Answer:

[tex]Corn = \alpha_1 *price + \beta_1 * income + \mu_1[/tex] --- Demand

[tex]Corn = \alpha_2 *price + \beta_2 * rainfall + \gamma * rainfall_2 + \mu_2[/tex] --- Supply

Step-by-step explanation:

Given

[tex]Corn = \alpha_1 *price + \beta_1 * income + \mu_1[/tex]

[tex]Corn = \alpha_2 *price + \beta_2 * rainfall + \gamma * rainfall_2 + \mu_2[/tex]

Required

Identify the demand and the supply equation.

To identify which is the demand equation and which is the supply equation, we simply look through the constraints of the equation.

For (1):

[tex]Corn = \alpha_1 *price + \beta_1 * income + \mu_1[/tex]

We have: Price and Income

For (2):

[tex]Corn = \alpha_2 *price + \beta_2 * rainfall + \gamma * rainfall_2 + \mu_2[/tex]

We have: Price and Rainfall

In (1), price and income determines the demand of a product.

Hence, (1) represents the demand equation

In (2), price and weather condition (rainfall) determines the supply of a product.

Hence, (2) represents the supply equation.

Answer:

My answer is 20ft I'm not really sure but hope this helps

Answer:

8 lakhs = 8,00,000

Step-by-step explanation:

770000

=> 7,70,000

=> 7.7 lakhs

7.7 lakh rounded to the nearest lakh = 8 lakhs and it is Rounded Up

Hope it helps :)

Answer:

Consider matrix A.

What is the inverse of A? Fill in the missing elements in the matrixs.

Step-by-step explanation:

Consider matrix A.

What is the inverse of A? Fill in the missing elements in the matrixs.

Answer:

Hello! Your answer would be, 600

Step-by-step explanation:

if we start backwards, the value of 6 in 6000 is equal to 1/1000. If you want to find what is 10 times that, multiply 1/1000 with ten and you get 1/100. That is equal to 6/600. The value of 6 is 600.

Hope I helped! Brainiest plz!♥ Have a nice morning! Hope you make a 100%! -Abby

Answer:

Theatre A has the greatest percent

Answer:

wait nvm I did the wrong answer lemme re check

Ok sorry I reviewed it and i think its D i looked to fast and got confused sorry

Answer:

Its C Translation,reflection

Step-by-step explanation:

I took the test and this was the right answer!!

answer:

$14

step-by-step explanation:

the formula for simple interest is-

i=prt

meaning interest=principal (the starting amount of money) * rate * time

=200*0.01*7

(we have to turn 1% into a decimal so 1/100=0.01)

=14

i=14

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

After 7 years and a 1% interest rate, Brendan will have a total of 214$.

Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.

Given, Brendan has $200 in a saving account with a 1% interest rate.

The simple interest is given as

Interest = (PRT/100)

where

P = Amount deposited = 2,00

R = Rate = 1%

T= Time = 7 years

Interest = (PRT/100)

Interest = (200 × 7 × 1/100)

Interest = 14

Total amount = SI + principal amount

Total amount = 14 + 200 = 214

Therefore, Brendan will have 214 $ after 7 years and a 1% interest rate.

Learn more about simple interests here:

https://brainly.com/question/29210957

#SPJ6

Answer:

right: 11.15

left: 17.15

Step-by-step explanation:

right formula: [tex]\int _a^bf\left(x\right)dx\:\approx \Delta \:x\left(f\left(x_1\right)+f\left(x_2\right)+...+f\left(x_n\right)\right)[/tex]

left formula: [tex]\int _a^bf\left(x\right)dx\:\approx \Delta \:x\left(f\left(x_0\right)+f\left(x_1\right)+...+f\left(x_{n-1}\right)\right),[/tex]

[tex]\Delta \:x\:=\:\frac{b-a}{n}[/tex]

estimating : [tex]\int _1^7\left(\frac{7}{x}\right)dx[/tex] , with n = 6 (number of sub-intervals in Riemann sum)

right: 1 [tex]\left(f\left(x_1\right)+f\left(x_2\right)+f\left(x_3\right)+f\left(x_4\right)+f\left(x_5\right)+f\left(x_6\right)\right)[/tex] =[tex]1\cdot \left(\frac{7}{2}+\frac{7}{3}+\frac{7}{4}+\frac{7}{5}+\frac{7}{6}+1\right)[/tex] = 11.5

left: [tex]1\cdot \left(f\left(x_0\right)+f\left(x_1\right)+f\left(x_2\right)+f\left(x_3\right)+f\left(x_4\right)+f\left(x_5\right)\right)[/tex] =

[tex]1\cdot \left(7+\frac{7}{2}+\frac{7}{3}+\frac{7}{4}+\frac{7}{5}+\frac{7}{6}\right)[/tex] = 17.15

Answer:

34 I am pretty sure

Step-by-step explanation:

34+55 well is 89 so yeah d=34