Find, to the nearest tenth, the area of a triangle ABC if angle B = 35o, a = 12 m and c = 17m.

Answers

Answer 1

Answer:

Area of triangle = 1/2 of base × height

Area of triangle = 1/12 of 12×17

Area of triangle = 102m²


Related Questions

A rectangle is shown with the area of 14/32 square in. Label two sides of the rectangle with appropriate fractions that would come up with the area of 14/32 square inches when multiplied together.​

Answers

The dimensions of the rectangle that would have a value of 14/32 inches square are a length of 2/16 and a width of 31/2 inches.

What are the dimensions of the rectangle?

A rectangle is a 2-dimensional quadrilateral with four right angles that has a value of 360 degrees. It has two diagonals that bisect each other.

Area of a rectangle = length x width

2/16 x 7/2 = 14/32

To learn more about how to calculate the area of a rectangle, please check: https://brainly.com/question/16595449

Fastest answer gets brainliest (must provide an explanation and steps for proof)

Answers

Answer:

[tex]\sf g(x+5) = \dfrac{x+6}{4x+17}[/tex]

explanation:

g(x + 5) || this function refers to x = x + 5

solving steps:

[tex]\sf g(x) = \dfrac{1+x}{-3+4x}[/tex]

[tex]\rightarrow \sf g(x+5) = \dfrac{1+(x+5)}{-3+4(x+5)}[/tex]

[tex]\rightarrow \sf g(x+5) = \dfrac{6+x}{-3+4x+20}[/tex]

[tex]\rightarrow \sf g(x+5) = \dfrac{x+6}{4x+17}[/tex]

Answer:

Given function:

[tex]g(x)=\dfrac{1+x}{-3+4x}[/tex]

To find  [tex]g(x+5)[/tex], substitute  [tex]x+5[/tex]  into the function in place of [tex]x[/tex]:

[tex]\implies g(x+5)=\dfrac{1+(x+5)}{-3+4(x+5)}[/tex]

                     [tex]=\dfrac{1+x+5}{-3+4x+20}[/tex]

                     [tex]=\dfrac{x+6}{4x+17}[/tex]

Q. If A is a square matrix such that A² = A, then write the value of 7 A −(I + A)³, where I is an identity matrix.​

Answers

Since [tex]A^2=A[/tex], we have

[tex](I + A)^2 = I^2 + IA + AI + A^2 = I + A + A + A = I + 3A[/tex]

[tex](I + A)^3 = (I + A) (I + 3A) = I^2 + 3IA + AI + 3A^2 = I + 3A + A +  3A = I + 7A[/tex]

Then the target expression is

[tex]7A - (I + A)^3 = 7A - (I + 7A) = \boxed{-I}[/tex]

The diameter of a circle is 12 ft. Find its area to the nearest whole number. Answer: A = ​

Answers

Answer:

113 ft²

Step-by-step explanation:

π = 3.14
r = 6


Use the formula for the area of a circle:
A = πr²
A = 3.14*6²
A = 3.14*36
A = 113.04
A = 113
Hope this helps :)

Answer:

Area = 113 ft²

Step-by-step explanation:

The formula to find the area of a circle is:

Area = π × r²

r is the radius that can be found by taking half of the diameter.

r = [tex]\frac{12}{2}[/tex] = 6

Area = π × 6²

Area = π × 36

Area = 113.09 = 113 [ to the nearest whole number ]

Write an equation in standard form of an ellipse that is 10 units high and 8 units wide. The center of the ellipse is (0, 0).

Answers

Answer:

[tex]\frac{x^2}{25} + \frac{y^2}{16} = 1[/tex]

Step-by-step explanation:

Great, so the question already tells you that you're using the standard form of an ellipse. All you gotta do is apply your knowledge of the characteristics of an ellipse graph.

The standard form of an ellipse is:

[tex]1 = \frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2}[/tex]

[tex]h[/tex] and [tex]k[/tex] are the offset, or the coordinates of the center of the ellipse. The center of the ellipse will always be on (h,k). Now because the question says the center is (0,0), we can make h and k equal to 0 in the equation giving:

[tex]1 = \frac{x^2}{a^2} + \frac{y^2}{b^2}[/tex].

Now, the height of the ellipse will always be equal to 2a. The width will be equal to 2b.

Since we are told what the height and width should be, we can find the a and b values quite easily using algebra.

So first, height:

[tex]10 = 2a\\5 = a[/tex]

Now width:

[tex]8 = 2b\\4 = b[/tex]

Subbing for a and b in the equation give you:

[tex]1 = \frac{x^2}{5^2} + \frac{y^2}{4^2}\\=\\1 = \frac{x^2}{25} + \frac{y^2}{16}[/tex]

Liz flips a coin 60 times. The coin lands head up 24 times and tails up 36 times. The EXPERIMENTAL probability of the coin landing headS up is ___%.

Answers

Answer:

60%

Step-by-step explanation:

36= heads

36/60= 60%

Answer:

60x24x36=51,840%

Step-by-step explanation:

Simplify.
1/3 ≠ 18n^2 * 2n

Answers

Answer:

n³ ≠ 108

Step-by-step explanation:

1/3 ≠ 18n² * 2n

1/3 ≠ 18 * n² * 2 * n

1/3 ≠ 18 * 2 * n² * n

1/3 ≠ 36n³

Cross multiply,

1 * n³ ≠ 3 * 36

n³ ≠ 108

Hence simplified.

Find the area of the shaded polygons.

Answers

Answer: 372 sq. un

Step-by-step explanation:

7+24=31

Divided by 2 = 15.5

15.5x24 = 372

A dairy farmer plans to enclose a rectangular pasture adjacent to a river. To provide enough grass for the herd, the pasture must contain 18 square meters. No fencing is required along the river. What dimensions will use the least amount of fencing?

Answers

Answer:

390 m (perpendicular to river) x 780 m (parallel to river)

Step-by-step explanation:

Let y be the length of the side parallel to the river, and let x be the length of the sides perpendicular to the river.

The total area and length of fence required are given by:

Rewriting the length of fence as a function of only x:

The value of x for which the derivate of L(x) is zero is the length of x that uses the least amount of fencing:

If x = 390 m, then:

The dimensions that will use the least amount of fencing are 390 m x 780 m

sketch the graph of y=2x^2-3x-4​

Answers

There is your answer

The response to a question has three alternatives: A, B, and C. A sample of 120 responses provides 60% A, 23% B, and 37% C. Show the frequency and relative frequency distributions

Answers

Answer:

0.5,0.2,0.3

Step-by-step explanation:

divide 60,23,37 by 120

Am I right??? Please help me

Answers

Function: y = 2x²-5

Find y-intercept:

y = 2(0)²-5

y = -5

Find x-intercept:

2x²-5 = 0

2x² = 5

x² = 2.5

x = ±√2.5

x = -1.5811 , 1.5811

Graph plotted:

Answer:

Vertex and y-intercept (0, -5)

x-intercepts (-1.58, 0)  (1.58, 0)

opens upwards

other plot points: (-2, 3) (-1, -3) (1, -3) (2, 3)

Step-by-step explanation:

The graph is not quite correct - it's a little too narrow and doesn't go through the points on the graph.

The y-intercept is when x = 0:

f(0) = 2(0)² - 5

      = - 5

Therefore, the y-intercept is at (0, -5)

We also know that the y-intercept is the vertex since the equation is in the form [tex]f(x)=ax^2+c[/tex]

The x-intercepts are when f(x) = 0:

[tex]\implies 2x^2 - 5 = 0[/tex]

[tex]\implies x^2 =\dfrac52[/tex]

[tex]\implies x=\pm1.58113883...[/tex]

As the leading coefficient is positive, the parabola opens upwards.

Finally, input values -2 ≤ x ≤ 2 to find plot points:

(-2, 3)

(-1, -3)

(0, -5)

(1, -3)

(2, 3)

In a circle, a 270° sector has area 300s in? What is the radius of the circle?
.

Answers

[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ A=300\pi \\ \theta =270 \end{cases}\implies 300\pi =\cfrac{(270)\pi r^2}{360}\implies 300\pi =\cfrac{3\pi r^2}{4} \\\\\\ 1200\pi =3\pi r^2\implies \cfrac{1200\pi }{3\pi }=r^2\implies 400=r^2\implies \sqrt{400}=r\implies 20=r[/tex]

Please answer this relatively quickly, I'm not in very much of a rush but would like to get this done.

Answers

Answer: 6

Step-by-step explanation:

Because you have to multiply then remove the fraction and set equal to 0 and solve for x which I’m pretty sure gives u 6

the legnth of a rectangle is three times its width. if the perimeter of the rectangle is 64 in, find the length and width

Answers

Step-by-step explanation:

According to the question,

Let the width of rectangle be x and length of rectangle be 3x

Perimeter of Rectangle :- 2(L+B) = 64 in

Putting the values we get ,

2(3x+x) = 64 in

8x = 64 in

x = 8 in

Putting the value of x ,

Width :- 8 Inch

Length :- 24 inch

Given:-

[tex]\rightarrow[/tex] Length(l) of the rectangle is three times it's width(w) = 3w.

[tex]\rightarrow[/tex] Width(w) of the rectangle = w.

[tex]\rightarrow[/tex] Perimeter of the rectangle = 64in.

To Find:-

[tex]\rightarrow[/tex]Length and width of the rectangle.

Solution:-

[tex]\rightarrow[/tex] Perimeter of rectangle = [tex]\sf{2(l+w)}[/tex] putting the value of perimeter, l and w from the above given)

[tex]\rightarrow[/tex] 64 = [tex]\sf{2(3w+w)}[/tex]

[tex]\rightarrow[/tex] 64 = [tex]\sf{2(4w)}[/tex]

[tex]\rightarrow[/tex] 64 = [tex]\sf{8w}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{\frac{64}{8}}[/tex]= [tex]\sf{w}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{8}[/tex]= [tex]\sf{w}[/tex]

Therefore, width of the rectangle = 8in.

And Length = 3(8)in. = 24in.

To check whether the answer is correct or not, we can put the value of length and width in the formula = [tex]\sf{2(l+w)}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=\: 2(24+8)}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=\: 2(32)}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=\: 64in.}[/tex]

Since, the perimeter of the rectangle is same as given in the question, therefore the value of length and width are correct.

_______________________________

Hope it helps you:)

super easy algebra 4 x (15- ?) =48

Answers

first you would divide 48 by 4 which equals 12.
after this you are left with 15-?=12.
?=3
First 48/4=12. Then 12-15=-3. Then your left with -?=-3 Divid -3 by -1 which equals 3 so ?=3

Find the area of the 2.5 m circle using 3.14 or 2/7 four pi

Answers

Answer:

Formula for area of circle;

A = π[tex]r^{2}[/tex]

Where 'π' represents pi (22/7 or 3.14), and 'r' is the radius which is being squared.

Plug in your values:-

A = π[tex]r^{2}[/tex]

A = 3.14(2.5^2)

A = 3.14(6.25)

A = 19.625 meters is your answer.


Write the number in standard form
and word form.
7 x 10 + 5 x 1 + 6 x (1/100) + 2 x
(1/1,000)

Answers

Answer:

75.062

Step-by-step explanation:

just add and multiply then remember that 1/100 or 1/1000 is just 0.001 or 0.01

Determine the type of symmetry of r =5-sin11ø from the equation, if any. Make sure to confirm graphically. Symmetric with respect to the:

A) pole
B) line /2
C) polar axis
D) none of these

Answers

well, let me not bore you to death on how we test it and test it.

[tex]\underline{\textit{testing for symmetry to the }\frac{\pi }{2}~line\qquad \qquad r=-r~~,~~\theta =-\theta } \\\\\\ r=5-sin(11\theta )\implies (-r)=5-sin[11(-\theta )]\implies -r=5-sin(-11\theta ) \\\\\\ \stackrel{symmetry~identity}{-r=5-\stackrel{\downarrow }{[-sin(11\theta )]}}\implies\implies r=-5-sin(11\theta )\impliedby \textit{no dice} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\underline{\textit{testing for symmetry to the polar axis}\qquad \qquad \theta =-\theta} \\\\\\ r=5-sin(11\theta )\implies r=5-sin[11(-\theta )]\implies r=5-sin(-11\theta ) \\\\\\ r=5-[-sin(11\theta )]\implies r=5+sin(11\theta )\impliedby \textit{no dice} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\underline{\textit{testing for symmetry to the pole}\qquad \qquad r=-r} \\\\\\ r=5-sin(11\theta )\implies -r=5-sin(11\theta )\implies r=-5+sin(11\theta )\qquad \textit{no dice}[/tex]

so the symmetry tests didn't pass, notice the picture below though, looks a bit deceiving, it looks as if it'd have π/2 symmery, but it doesn't show in the test.

Please help me with these. God bless you

Answers

Counting all of the lines, there is About 17

Answer:

The lines of symmetry in the wheel is infinite.

Explanation:

Since there are an infinite number of lines through the center, a circle has an infinite number of lines of symmetry.

Given the function
[tex]f(x) = (x + 4){(x - 2)}^{2} [/tex]
Determine the end behavior of the graph of the function. Show all/any work​

Answers

[tex]lim \: f(x) = ( \infty + 4)( \infty - 2) {}^{2} \\ x - > \infty [/tex]

[tex]lim \: f(x) = \infty \times \infty \\ x - > \infty [/tex]

[tex]lim \: f(x)= \infty \\ x - > \infty [/tex]

[tex]lim \: \frac{f(x)}{x} = \frac{x(1 - \frac{4}{x})(x - 2) {}^{2} }{x} \\ x - > \infty [/tex]

[tex]lim \: \frac{f(x)}{x} = (1)( \infty - 2) {}^{2} \\ x - > \infty [/tex]

[tex]lim \: \frac{f(x)}{x} = \infty \\ x - > \infty [/tex]

We can then say that the function f(x)=(x-4)(x-2)² admits an asymptotic direction parallel to the y-axis at + and - as well since we have to follow the same steps.

Put the following investment options in order of least to greatest risk:

starting a business
B-rated bond
speculative stock
property

Answers

The order of investment options from least to greatest risk is:

B rated bond.Property.Speculative stock. Starting a business.

How risky are some investment options?

A B rated bond is considered safer than the rest because there is a high chance that the owners of the bond will redeem it. Property is not very risky but can be susceptible to market shocks.

Speculative stock is the third riskiest because its prices are prone to fluctuation. Starting a business is by far the riskiest because a lot of new businesses fail.

Find out more on risky investments at https://brainly.com/question/25219850.

Answer:

B-rated bond

property

starting a business

speculative stock

Step-by-step explanation:

A laptop computer is purchased for $2350. After each year, the resale value decreases by 35% . What will the resale value be after 4 years?

Answers

[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &2350\\ r=rate\to 35\%\to \frac{35}{100}\dotfill &0.35\\ t=years\dotfill &4\\ \end{cases} \\\\\\ A=2350(1 - 0.035)^{4}\implies A=2350(0.965)^4\implies A\approx 2037.87[/tex]

PLEASE HELP!

The scatter plot shows the number of years of experience, x, and the
amount charged per hour, y, for each of 25 dog sitters in Texas.

(a) Write an approximate equation of the line of best fit for the data. It doesn't have to be the exact line of best fit.

(b) Using your equation from part (a), predict the amount charged per hour by a dog sitter with 18 years of experience.

Answers

Answer:

(a) [tex]\sf y=\dfrac{11}{20}x+7[/tex]

(b) $16.90

Step-by-step explanation:

Part (a)

Add a line of best fit (see attached).

Find two points on the line:  (7, 0) and (20, 18)

Use these points to find the slope of the line:

[tex]\sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{18-7}{20-0}=\dfrac{11}{20}[/tex]

Use the found slope and one of the points in the point-slope form of the linear equation to find an equation for the line of best fit:

[tex]\sf\implies y-y_1=m(x-x_1)[/tex]

[tex]\sf\implies y-7=\dfrac{11}{20}(x-0)[/tex]

[tex]\sf\implies y=\dfrac{11}{20}x+7[/tex]

Part (b)

Substitute x = 18 into the equation and solve for y:

[tex]\sf\implies y=\dfrac{11}{20}(18)+7=\$16.90[/tex]

Help help help help math math

Answers

Answer:

the answer in the question mark that was in the green box ???

Carlos is saving for a new bike. he is paid $6.60 an hour and works 10 hours per week at his after-school job. If he saves 75% of the money he earns, how much does he save each week?

Answers

Answer:

16.50 per week

Step-by-step explanation:

6.60 times 10 equals 66 minus 75% equals 16.50

What percent of 1/4 is 1/5
5%
16%
24%
80%

Answers

[tex]\text{Let it be x percent}\\ \\\dfrac 14 \times x\% = \dfrac 15\\\\\\\implies\dfrac 14 \times \dfrac x{100} = \dfrac 15\\ \\\\\implies x = \dfrac{400}{5} = 80\\\\\\\text{Hence the answer is}~ 80\%[/tex]

3+(-7)×2-10÷(-5)
please step by step0​

Answers

[tex]\left[3+(-7)\times 2\right] - \left[10 \div(-5)\right]\\\\=(3-14) +\left(10\times \dfrac 15\right)\\\\=-11+2\\\\=-9[/tex]

Solve for c
Can you pls help me??

Answers

Answer:

5(c+3)=85

divide both sides by 5

c+3=17

taking 3 to the other side gives us -3

c=17-3

c=14

​Triangle A′B′C′​ is a dilation of ​triangle ABC​ .
What is the scale factor?
Enter your answer in the box.

Answers

Answer:

1/2

Step-by-step explanation:

The scale factor is 1/2 because each side length of [tex]\triangle{A'B'C'}[/tex] is 1/2 of the length of the side lengths of [tex]\triangle{ABC}[/tex].

Hope this helps :)

Answer:

1/2

Step-by-step explanation:

took the test

Other Questions
Explain how the VIH virus uses specific structures to enter the cell Lines j and k are intersected by line m. At the intersection of lines j and m, the uppercase left angle is 93 degrees. At the intersection of lines k and m, the bottom right angle is 93 degrees.Given the information in the diagram, which theorem best justifies why lines j and k must be parallel?alternate interior angles theoremalternate exterior angles theoremconverse alternate interior angles theoremconverse alternate exterior angles theorem 3. In the formula F = kx , what does the minus sign indicate?It indicates that the restoring force is in the direction of the displacement.It indicates that the restoring force is in the direction opposite the displacement.It indicates that mechanical energy in the system decreases when a system undergoes oscillation.None of the abovePlease show all of your work. MN is a diameter of a circle with centre ' O ' . If BD = CD , prove that OAD = OCD ~Please help!! Thanks in advance:) Which source would be the most reliable source for learning about the Columbian Exchange?an online post from a wiki encyclopediaa student-run webpage about Christopher Columbusan article from a recent edition of an encyclopediaa blog from a company selling plant seeds A pendulum bob has it maximum speed at 3ms at the lowest position 0. Calculate the height of the bob above 0,where it velocity is 0 Which sentence best describes george bergerons characterization ? What is the difference between the distribution and the consumption of an item?A. One deals with the creation of an item; the other deals with the use of an item.B. One deals with transporting the item from where it was produced to the location where it will be sold; the other deals with the consumer's use of the item after purchase.C. One deals with deciding how much to charge for an item; the other deals with reconstructing the item in another format.D. One deals with the creation of an item; the other deals with the transportation of the item from where it was made to where it will be sold. super easy algebra 4 x (15- ?) =48 Put the following investment options in order of least to greatest risk:starting a businessB-rated bondspeculative stockproperty does anyone know any good witchcraft books to read? im a beginner!! 8. The sum of the ages of Sarpong and Quartey is 50 years. In five years time, the age of Quartey will be four times the age of Sarpong now. How old is each boy? robert gets a loan from his bank.he agrees to borrow 6000 at a fixed annual simple interest rate of 7%he also agrees to pay the loan back over a 10-year-period.how much money in total will ha have paid back at the end of the 10 years? Write the number in standard formand word form.7 x 10 + 5 x 1 + 6 x (1/100) + 2 x(1/1,000) How many more atoms are there in 48g of C compared with 48.6g of Mg? Explain your answer. Etiology is the process of dignosing a specific disorder, and may include observations and additional research. please select the best answer from the choices provided t f PLEASE GIVE A REAL ANSWER NOT A LINK OR RANDOM WORDSUse the excerpt from the story "True Reign" to answer the question.Lianas hands had been in the hot dishwater for so long, her fingertips were puckered. Blowing a strand of damp hair from her face, she wiped crusted food off a platter and handed it to Winnie, who struggled to keep up with the drying. Poor Winnie. At 14, she was just one year younger than Liana, but she was so skinny, she looked only 10. Sometimes, Liana snuck her food from her own plate, but they all got so little, there wasnt much to share. Now, Cook clanged two pots into the basin, splashing Lianas apron, which was already soaked.Winnie! Cook yelled, one large hand holding a bowl of whipped cream. Get yourself out to the dining room and help clear the dinner dishes!Liana watched Winnie go, wishing Cook had sent her, instead. The Prince was in the dining room this very minute. But Liana had a plan to set eyes on him one way or the other. She schemed as she scrubbed and scoured and sweated.Suddenly, a girls scream came from the dining room. Then the double doors banged open and Mrs. Thorpe entered, dragging a girl by the shoulder. It was Winnie. All the color had drained from her face, and she could barely walk.Youre worthless! Mrs. Thorpe shouted at her. Cant even bus dishes without getting in your own way. She gave Winnie a little shove, letting go of her shoulder. Winnie crumpled to the floorbut Liana, who was coming toward the commotion, caught her.Gently, Liana lowered her to the floor. Youre burned! Shes burned, Liana said to the innkeeper, examining Winnies arm, where a large red welt was already starting to blister. How did this happen?Girl didnt have the good sense to step out of the way of a hot pan, said Mrs. Thorpe. The innkeeper shifted her glare to Liana. And youll find out soon enough what happens to girls who take that tone with me. Dont you have a job to do?In Lianas arms, Winnie was whining softly. Its all right, Winnie, Liana whispered.Now, the innkeeper leaned down to grab Lianas arm. I saidExcuse me? A young man was standing at the doors, which were still propped open. The innkeeper straightened, drawing in a breath as she realized the kitchen was in full view. My sergeant has a salve that should ease the girls burn.Thank you, said Liana. The man was tall, with dark hair that curled to his shoulders and piercing green eyes. His trousers and tunic were simply styled, but well-made of rich, purple cloth. The buckles on his tall brown boots were forged in real silver.Thank you, my Lord, said Cook, bending down to sweep Winnie into her arms. Bowing her head, she gave a brief curtsy. This kitchens got no shortage of salve. Cook turned to whisper in Winnies ear. Cook will take care of you now, lovey.As Cook trudged from the kitchen, Liana stood, noticing for the first time that everything around her had stopped. The kitchen girls, the busboys, even the innkeeper stood, turned toward the man in the doorway, their heads bowed.Liana! hissed one of the girls.Liana looked around, then back at the man, who was staring at her, a half-smile on his lips. An amused look sparkled in his eyes. And then it dawned on her. She had laid eyes on the Prince, after all. Horrified, she bowed her head, giving herself a view of her soaked apron and general disorderly appearance. Keeping her head lowered, she snuck a look up at the Prince through her bedraggled hair.He was still looking at herand then he spoke to her. Whats your name?Write a 35 sentence analysis explaining the story structure, whether the action moves the plot forward, and how the characters are developed.(4 points) 6 dans la classe de franaislisons complte les phrases avec la forme approprie du verbe tre.1. je (es / suis) sympathique.2. le professeur (est / es) cratif.3. les lves (sommes / sont) intelligents. .4. marine et jacques (tes / sont) pnibles.5. mes amis et moi, nous (sont / sommes) gentils.6. et vous, mademoiselle leclerc, vous (tes / est) gniale! Read the scenario. Water is a scarce resource in several counties in a state. The state decides that it needs to regulate water use. Which form of government would the state most likely use to carry out its regulations?city councilcounty governmentspecial districtfederal government If the two blocks are touching, what will happen to the thermal energy in this system?