Which of the following equations correctly represents the law of cosines?

A. 2 = 22 + b2 - 2ab.cos(B)
B. 2 = 22 + c2 - 2ac.cos(C)
C. a2 = b2 + c2 - 2bc.cos(A)
D. b2 = 22 +62 - 2bc.cos(B)

Answers

Answer 1

Answer:

D. b2 = 22 + 62-2bc.cos(B)


Related Questions

the LCM of 16 and 18 is

Answers

the lcm of 16 and 18 is 144 !

Find the measure of Angle B

Answers

Answer:

45

Step-by-step explanation:

Both angles have the same value, therefore, you can set your formula up as

5x-105=2x+30

5x = 2x + 30 + 105

5x - 2x = 135

3x = 135

x = 135/3

x = 45

Martin was selling tickets for a basketball game in a high school. He sold 1,250 tickets and the total amount collected for the game was $2,750. The student tickets cost $2 each, and adult tickets cost $3 each. How many student and adult tickets were sold?

Answers

Answer:

x = number of students tickets = 1,000

y = number of adults tickets = 250

Step-by-step explanation:

Let

x = number of students tickets

y = number of adults tickets

x + y = 1,250 (1)

2x + 3y = 2,750 (2)

Multiply (1) by 2

x + y = 1,250 (1) * 2

2x + 2y = 2,500 (3)

2x + 3y = 2,750 (2)

Subtract (3) from (2) to eliminate x

3y - 2y = 2,750 - 2,500

y = 250

Substitute y = 250 into (1)

x + y = 1,250

x + 250 = 1,250

x = 1,250 - 250

x = 1,000

x = number of students tickets = 1,000

y = number of adults tickets = 250

El ministerio de educación publicó los resultados obtenidos por los colegios en la última prueba icfes saber 11. En el colegio San estaban el promedio de los estudiantes en la prueba de razonamiento cualitativo fue de 75,8 ¿ que significa este resultado?

Answers

Answer:

El indicador mencionado en el enunciado indica que la suma de los resultados de las pruebas de razonamiento cualitativo de los estudiantes dividido por la población de los estudiantes arroja ese promedio.

El promedio indica el valor "central" del indicador, no estudia la dispersión de los resultados de las pruebas, es decir, como se distribuye la colección de indicadores.

Step-by-step explanation:

El indicador mencionado en el enunciado indica que la suma de los resultados de las pruebas de razonamiento cualitativo de los estudiantes dividido por la población de los estudiantes arroja ese promedio.

El promedio indica el valor "central" del indicador, no estudia la dispersión de los resultados de las pruebas, es decir, como se distribuye la colección de indicadores.  

Surveying Indiana high school students about virtual learning or e-learning by sampling all of the students from only some of the online schools in Indiana would be a type of sampling known as cluster sampling.

True
False

Answers

Answer: True

Each high school in Indiana is considered a cluster. Let's say there are 1000 high schools in that state. That would mean there are 1000 clusters.

You would then randomly select say 5 clusters. Once those selections are made, you would then survey every student at those five schools selected. The number of clusters selected will depend on the situation of course.

Kkfkfjfkfkfkfkfkfkfkrkri

Answers

Answer:

M= -1

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

Rise over run.

-1/1 = -1

No trolling please. I will mark brainlist

Answers

x= Kaden
Quan= 15

4/5 (3x-10) = 15
12/5x-8 = 15
12x- 40= 75
12x= 40+ 75
12x = 115
x= 115/12
x= 9.583

Answer:

A) $35.80

B) $28.64

Step-by-step explanation:

I'm not sure tho it might be wrong

If a = 7, what is the value of the expression 2(a + 8)?

Answers

Answer:

[tex]2(a + 8) \\ if \: a = 7 \\ 2 \times (7 + 8) \\ 2 \times 15 \\ = 30 \\ [/tex]

please mark as brainliest

The following are the last 10 run scores Colin got in cricket:
28, 13, 4, 12, 32, 22, 13, 22, 26, 32
a) Work out Colin's mean score.
b) Colin plays cricket again on Sunday. He gets 16 runs.
What is his new mean score?
Give your answers as decimals.

Answers

Answers:

a) Mean = 20.4b) New mean = 20

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

Explanation:

To get the mean, we add up the scores and divide by 10 (because there are 10 scores at first)

28+13+4+12+32+22+13+22+26+32 = 204

204/10 = 20.4

The mean is 20.4

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

For part b), we redo those steps shown above, but tack 16 onto the list. So we'll add up all the values (including that 16 at the end) and divide by 11 this time.

28+13+4+12+32+22+13+22+26+32+16 = 220

220/11 = 20

The new mean is 20.

The new mean is slightly smaller than the old mean. Notice how 16 is smaller than 20.4, so this new score pulls down the mean just a little bit.

What is the phase shift of F(x) = 3 sin(2x - 4)?

Answers

Answer:

2

Step-by-step explanation:

Use the form asin(bx−c)+d

a=3

b=2

c=4

d=0

Phase Shift: c/b

Phase Shift: 4/2 = 2


A tortoise moves forward 15 meters in one hour. It turns around and crawls 10 meters in the
next hour. Finally, in the third hour, it turns around again and crawls 8 more meters. How
much did the tortoise walk in total in 3 hours?

Answers

Answer:

Below.

Step-by-step explanation:

15+10+8=33.

Answer:

13 meters

Step-by-step explanation:

It went 15 meters, but then it went back 10 meters.

[tex]15-10=5[/tex]

Then it went 8 more meters.

[tex]5+8=13[/tex]

Hope this helped! Please mark brainliest :)

Express tan J as a fraction in simplest terms

Answers

Answer:

3/4

Step-by-step explanation:

tangent is opp/ad

so that is 15/20, or 3/4

What percent of the trees sampled were less than 75 ft tall?

Answers

Answer:

D

Step-by-step explanation:

Answer:

B=45

Step-by-step explanation:

Freebie!! Enjoy! Have a good day!
“Never follow anyone else’s path. Unless you’re in the woods and you’re lost and you see a path. Then by all means follow that path.”
—Ellen DeGeneres

Answers

Answer:

You as well!

Step-by-step explanation:

(9-3)+18÷8
show your work ​

Answers

Answer:

(9-3)+18÷8

=6+ 9/4

Step-by-step explanation:

.............

Answer:

8.25

Step-by-step explanation:

(9-3) + 18 ÷ 8

6 + 18 ÷ 8

6 + 2.25

8.25

I hope it helps ^_^

Find the perimeter of quadrilateral ABCD with vertices A(0, 4), B(4, 1), C(1, -3), and D(-3, 0).

Answers

Given:

The vertices of a quadrilateral ABCD are A(0, 4), B(4, 1), C(1, -3), and D(-3, 0).

To find:

The perimeter of quadrilateral ABCD.

Solution:

Distance formula:

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

Using the distance formula, we get

[tex]AB=\sqrt{(4-0)^2+(1-4)^2}[/tex]

[tex]AB=\sqrt{(4)^2+(-3)^2}[/tex]

[tex]AB=\sqrt{16+9}[/tex]

[tex]AB=\sqrt{25}[/tex]

[tex]AB=5[/tex]

Similarly,

[tex]BC=\sqrt{(1-4)^2+(-3-1)^2}[/tex]

[tex]BC=5[/tex]

[tex]CD=\sqrt{(-3-1)^2+(0-(-3))^2}[/tex]

[tex]CD=5[/tex]

And,

[tex]AD=\sqrt{(-3-0)^2+(0-4)^2}[/tex]

[tex]AD=5[/tex]

Now, the perimeter of the quadrilateral ABCD is:

[tex]P=AB+BC+CD+AD[/tex]

[tex]P=5+5+5+5[/tex]

[tex]P=20[/tex]

Therefore, the perimeter of the quadrilateral ABCD is 20 units.

I’ve gotten this answer wrong twice already

Answers

Answer:

Step-by-step explanation:

The standard vertex form of a quadratic (which is what your graphs are) is

[tex]y=(x-h)^2+k[/tex] where h and  are the coordinates of the vertex. The vertex is really all we need to fill in this equation. Looking at the blue graph, the vertex is located at (-4, 1), so h = -4 and k = 1. Filling in the equation:

[tex]y=(x-(-4))^2+1[/tex] which simplifies down to

[tex]y=(x+4)^2+1[/tex]. It's that simple.I think that's choice C (I'm not sure; it's very tiny!)

If a/2 =b/3, What is the value of 6a-4b ?
a. 0
b. 1
c. 2
d. 3​

Answers

Answer:

A

Step-by-step explanation:

6 (2) - 4 (3)

12 - 12

0

hope this helps you

What is the common difference between successive terms in the sequence 0.36, 0.26,0.16,0.06,-0.04,-0.14

Answers

Answer:

- 0.1

Step-by-step explanation:

What is the value of x in the equation 0.7x – 1.4 = –3.5?

1. -7
2. -3
3. 7
4. 3

Answers

Answer:

the answer is -3

Step-by-step explanation:

0.7x - 1.4 = -3.5

add 1.4 to both sides of the equation

you're left with 0.7x = -2.1

then divide both sides by 0.7

you're left with your answer of -3

Find sin 0. Please and thank you

Answers

Answer:

the correct answer is C....I hope

Solve the formula c = pi d for d
A. d = pi c
B. d = c/pi
C. d = c - pi
D. d = pi/c

Answers

Answer:

B

Step-by-step explanation:

C=pi×d

C÷pi = Pi×d÷Pi

C/pi=d

Answer:

B

Step-by-step explanation:

Given

C = πd ( isolate d by dividing both sides by π )

[tex]\frac{C}{\pi }[/tex] = d

Which of the following is a correct tangent ratio of the figure?

tan 72°= 58/19
tan 19° =58/72
tan 58° = 72/19
tan 72 = 19/52

Answers

Answer:

tan 72°=58/19

Step-by-step explanation:

i think this is the right answer

At the beginning of the chemistry experiment, Lisa measured the temperature of a liquid to be -5°C. During the experiment, she measured the liquid 3 times and the results showed, its dropped 9°C, rose 25°C, and drop 15°C. What was the liquid temperature at the end of the experiment?

Answers

Answer:

-4°C

Step-by-step explanation:

At the beginning of the chemistry experiment the temperature of the liquid was -5°C and it dropped 9°C so you do:

-5°C - 9°C = -14°C

The answer is -14°C for the first part of the question because when you are subtracting a positive number from a negative number you have to add the two numbers together but your answer will always be a negative number.

Then you add 25°C to -14°C:

-14°C + 25°C = 11

Because when adding a negative number to a positive number that is bigger than the negative number you have to subtract but your answer will always be a positive number, however if the positive number is smaller than the negative number your answer will be a negative number.

Then you subtract 11°C from 15°C:

11°C - 15°C = -4°C

Because when you subtract a number that is bigger than the first number you get a negative number.

help me pllllllssssssssssssss

Answers

d, because the plastic has a difference of 2000 with respect to food

Drag the operator to the correct location on the image.
Which operation results in a binomial?

Answers

The correct answer is to drag The Plus sign (+)

What is an Operator?

This has to do with the use of symbols to denote mathematical equations such as addition, subtraction, etc.

Hence, we can see that the correct position to put the operator on the image to result in a binomial is to drag the plus sign (+) so that the equations can be solved,.

Read more about operators here:

https://brainly.com/question/25974538

#SPJ2

Answer:.

Step-by-step explanation:

solve: 7m + 12 = −4m + 78

Answers

7m + 12 = -4m + 78

7m + 4m = 78 - 12

11m = 66

m = 6

I hope you understand...

Mark me as brainliest...

what is the equation of the parabola?

Answers

It Given the focus (h,k) and the directrix y=mx+b, the equation for a parabola is (y - mx - b)^2 / (m^2 +1) = (x - h)^2 + (y - k)^2.

help me solve pleassee​

Answers

Answer:

122.5 cm²

Step-by-step explanation:

the area of shaded region =

(14×10) - (7 × 2.5)

= 140 - 17.5

= 122.5 cm²

Answer:

points for points .....

Find the exterior angle.
50°
70°
60
X = [?]

Answers

The angle is 100 hundred and 10 degrees :)

Answer:

110

Step-by-step explanation:

180-70=110

the full line is 180 so subtract the angle, 70.

Other Questions
HELP ME ASAP a is the blue line. B is the purple line. C is the orange line. And D is the green line Are all people aware of the bias they have towards others? Which substance has nonpolar covalent bonds?CONO2H2NaBr Which image best supports the claim that young people can make improvements to the environment?AbelVOLUN TELERO (02.07 HC)Which of the following diets is lacking in nutrients that provide energy to the body? A diet that is rich in dairy but lacking carbohydrates A diet that is rich in vegetables but lacking protein A diet that is rich in vegetables but lacking fruits A diet that is rich in fruits but lacking dairy Light energy is part of a larger form of energy known as __________. Zero is not a real number True or False You, the manager of an electronics store, have asked the salespeople in the camera department and the computer department to come up with regular, weekly ideas about how to increase sales. However, you have asked the people in the camera department to think of ideas independently, whereas you have asked the people in the computer department to get together every week and brainstorm. You should expect, after several weeks of this, that ____. b Nobody can deny that now we have better medical facilities in the city. ( affirmative )c Where else will you get such an attractive package? ( assertive )d Everybody wants to lead a peaceful life. ( interrogative ) Suppose these data show the number of gallons of gasoline sold by a gasoline distributor in Bennington, Vermont, over the past 12 weeks.Week Sales (1,000s of gallons)1 172 223 204 245 186 177 218 199 2310 2111 1612 23(a) Using a weight of 12 for the most recent observation, 13 for the second most recent observation, and 16 for third most recent observation, compute a three-week weighted moving average for the time series. (Round your answers to two decimal places.) Compute four-week and five-week moving averages for the time series.Week Time Series Moving Value Average Forecast1 17 2 22 3 20 4 24 5 18 6 17 7 21 8 19 9 23 10 21 11 16 12 23 (b) Compute the MSE for the four-week moving average forecasts. (Round your answer to two decimal places.)Compute the MSE for the five-week moving average forecasts. (Round your answer to two decimal places.)(c) What appears to be the best number of weeks of past data (three, four, or five) to use in the moving average computation? MSE for the three-week moving average is 11.12. Which of the following bestdescribes what a salon wasoriginally?A. a location where everyone in the communitywould meet to have mealsB. a place where women would go and get their hairand nails doneC. a location hosted by women that was used fordiscussions and thoughts What name was given to the group of talented and educated young men who wrote plays and who, sometimes, viewed Shakespeare with jealousy?1. the duke of Cambridge2. the lord of oxford3. the collage boys4. university wits Solve using the elimination method. 2x + 7y = 36 6x - 7y = - 60 try more complete the statement1. Volume of pyramid= ________ volume of rectangular prism, V= lwhSo for pyramid, V= 1/3 (lwh) = (lwh) ________.2. The volume of the cylinder is three times the volume of the cone or the volume of the is _________ that of the cylinder.3. Volume of the cone = ________ volume of the cylinder.4. Sphere's volume is 2/3 of the _________ volume. please answer this questions because this is need to pass tomorrow!! Que diferencia haba entre los espaoles y los indgenas en la esposa de la conquista ayuda Yall pls help me out Determine the dimensions for T if T = M V^2 A / L^3 where M is a mass, V is a velocity, A is an area, and L is a length. L / TNo dimensionsM L / T^2MM / (L T^2) Evaluate the function. f(x)=x^2 6x+12 Find f(4) Match the synthetic materials with the processes used to make them. what will happen if we did not have society? Write in points ? Imagine you are celebrating a birthday in December and need balloons. The temperature in thestore where you are purchasing the balloons is approximately 25C and each balloon is filledto a volume of 2 liters to obtain maximum pressure.Use the gas laws to explain what will happen to the volume and pressure of the gas in theballoon when go outside, where the temperature is 0C. Include both Charles's Law and Gay-Lussac's Law in your answer.ILL GIVE BRAINIEST PLEASE HELP