Assume that Q, R, and S are the angles of a triangle, with opposite sides q, r, and s respectively. Select all of the following that represent the law of cosines. q2 = r2 + s2 – 2rscos(Q) . q2 = r2 + s2 – 2qscos(R) . r2 = q2 + s2 – 2qscos(Q) . r2 = q2 + s2 – 2qscos(R) .s2 = q2 + r2 – 2qrcos(S)

Answers

Answer 1

Answer:

A. q2 = r2 + s2 – 2rscos(Q)

D. r2 = q2 + s2 – 2qscos(R)

E. s2 = q2 + r2 – 2qrcos(S)

Step-by-step explanation:

Answer 2

The following relation represent the law of cosines.

                  [tex]q^{2}=r^{2}+s^{2} -2rscos(Q) \\\\r^{2}=q^{2}+s^{2} -2qscos(R) \\\\s^{2}=r^{2}+q^{2} -2rqcos(S)[/tex]

Law of cosines:

The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them.

It is given that, Q, R, and S are the angles of a triangle, with opposite sides q, r, and s respectively.

A diagram is attached below,

From cosines law,

      [tex]q^{2}=r^{2}+s^{2} -2rscos(Q) \\\\r^{2}=q^{2}+s^{2} -2qscos(R) \\\\s^{2}=r^{2}+q^{2} -2rqcos(S)[/tex]

Above relation represent law of cosines.

Learn more about the Law of cosines here:

https://brainly.com/question/4372174

Assume That Q, R, And S Are The Angles Of A Triangle, With Opposite Sides Q, R, And S Respectively. Select

Related Questions

I will give a brainlist if someone could answer this problem with a explanation:)

Answers

Answer:

Step-by-step explanation:

The two base angles in each triangle are equal. (The triangle is isoceles and the property used is angles opposite equal sides are equal).

Now the tricky part. The peak angles are also equal. That's because both peak angles are made equal by Peak angle + 2*base angle = 180

Peak angle = 180 - 2*base angle

Therefore the triangles are congruent by SAS.  

I suppose you could get them equal by taking one of the base angles (all 4 are equal to each other) and the peak angles and claim equality by ASA, but it seems a little bit tortuous to me.

find the quotient

18 ÷ 3/10​

Answers

The correct answer is 0.6

Answer: 18 ÷ 3/10 = 60/ 1  = 60

The dolphins are feed 64 buckets of fish each day. The penguins are feed 1/8 as many buckets of fish as the dolphins. How many buckets of fish do the penguins eat?

Answers

Answer:

8

Step-by-step explanation:

You just gotta divide 64 by 8

Solve: 33 + 27 ÷ 9 + (30 ÷ 5)

Answers

Answer:

42

Step-by-step explanation:

You need to follow P--E--M--D--A--S

                                A  X  U   I    A  U                

                                R  P   L   V   D  B

                                E  O  T    I    D  T

                                N  N  I    T    I   R

                                T  E   P    I    T  A

                                H  N  L   O   I   C

                                E  T   I    N   O  T

                                S  S  C         N   I

                                 I       A              O

                                S       T              N

                                          I

                                         O

                                         N

Please solve if so thank you so much!!

Answers

Answer:

60 x 4

Step-by-step explanation:

Answer:

y=35x+60

x=4

Step-by-step explanation:

Plz help I am timed : (
Christian earned a 70, 89, 91, and 82 on his last four
spelling tests. What was Christian's average for these four
tests?
OA) 81
OB) 82
OC) 83
OD) 84

Answers

Answer:

its c or 83 bc you add them all together then divide by the amount of grades he has in total

answer: (C) 83

explanation: 70+89+91+82= 332/4(all together) would be 83

9y+3-4x-2y-3x-5 combine like terms

Answers

Answer:

7y-7x-2

Step-by-step explanation:

9y+3-4x-2y-3x-5

7y-7x-2

that a lot of points thx :)

you just add the numbers of the like terms togehter

Answer:

7y-2-7x

Step-by-step explanation:

I will give brainiest to whoever answers correctly !!

Answers

Answer:

$4

Step-by-step explanation:

Answer:

THX FOR PIONT I NEED ONE TOO

Step-by-step explanation:

which equation represents the graphed function? ​

Answers

Answer:

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

Step-by-step explanation:

The answer is the third equation.

This is because the y-intercept is -3 and the x-intercept is at (2,0) (you can find the x-intercept by making "y" = 0). The only equation that has both of these is the third one.

The shadow of a 60 foot pole is a 100 feet long. What is the angle of evaluation from the end of the shadow to the top of the pole?

Answers

Answer:

The angle is approximately [tex]31^{o}[/tex].

Step-by-step explanation:

The description i the given question can be represented with the sides of a right angled triangle.

Applying the appropriate trigonometric function, we have;

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

In the question, opposite side = 60 feet, and adjacent side = 100 feet.

Tan θ = [tex]\frac{60}{100}[/tex]

         = 0.6

θ = [tex]Tan^{-1}[/tex] 0.6

  = [tex]30.964^{o}[/tex]

θ = [tex]31^{o}[/tex]

The angle of elevation from the end of the shadow to the top of the pole is [tex]31^{o}[/tex].

MATH PROBLEM PLEASE HELP I HAVE THE PIC OF THE PROBLEM I WILL GIVE YOUI BRAINLIEST

Answers

Answer:

79.4

Step-by-step explanation:

(85+90+68+75+79) / 5 =79.4

11. Jeremy ran 14 races. Each race was 5 kilometers long. Approximately
how many miles did Jeremy run altogether in the races? (1 kilometer
0.62 mile)
A 43 miles
B. 70 miles
C 113 miles
D
200 miles

Answers

Answer: B

Step-by-step explanation:

It will be B-70 because 14x5=70 hope this helps

3 : 7 = 300 : x fill in the x for the equivalent ratios

Answers

Answer: 300:700

Step-by-step explanation:

If you have a 3:7 ratio and you multiply the 3 by 100, you would also have to multiply the 7 by 100, giving you a 300:700 ratio. Plz note I could be wrong but I believe that is the answer you are looking for

Miranda cuts grass ( g ) for $ 20 and hour and trims hedges ( h ) for $ 25 an hour. She is trying to make enough money during the summer to buy a car for $ 4200 .

Which inequality represents the number of hours Miranda needs to cut grass and trim hedges?

Answers

what are the options

Please help at least one Number it please!!!!

Answers

I believe that would be -2 plus 90 because 9 by 10 is 90 and you’d write down -2+90 and you’d get -88

What is the value of x in the equation below?

Negative 3 minus (negative 8) minus (negative 2) = x

Answers

Silver for x

-3 - (-8) - (-2) = x

Switch the equation to make x on the right

x = -3 - (-8) - (-2)

x = 5 - (-2)

x = 7

• A negative minus a negative will always evaluate to a positive.

• A positive minus a negative will always evaluate to a positive.

Answer:

D

Step-by-step explanation:

Took the test ;)

Olivia has a shoe box in the shape of a rectangular prism. She decorates 4 faces of the box, leaving the top and the bottom without decorations. The unshaded parts of the model and the diagram below the parts that she decorates. What is the total area that Olivia decorates?

Answers

Answer:

440

Step-by-step explanation:

Taking the test!

Good luck, buddy!

Answer:

B

Step-by-step explanation: 400 or 4ft x 10ft

PLEASE HELP IT IS DUE TODAY!!Alicia drew a map of Texas. in the scale Alicia used for the map 1/2 inch represents 20 miles. What is the distance between two cities on the map of the actual between the two cities is 360 miles please help me :( Thank you

Answers

Answer:

9in on the map

Step-by-step explanation:

1/2in=20m or 1in=40m

360/40=9

9in

FAST ITS TIMED
Which expressions are equivalent to 8(-10x + 3.5y - 7)

Answers

Answer:

#2 and #4

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

How many 1/3 are in 2 2/3

Answers

Answer:

8/3

Step-by-step explanation:

You have to count each third and eventually you would get 8/3.

Anyone know the answer to this help me out please

Answers

Answer:

C.

Step-by-step explanation:

< is less than the one with the line is less than equal to

Answer:

D

Step-by-step explanation:

Since there's a circle on -3 then it's not considered on the graph and a dot on 4 so it's considered.

[tex] - 3 < x \leqslant 4[/tex]

Combine these radicals.
√27-√3
24
2/3
c c
-2/3
o
-342

(I know it’s no C)

Answers

Answer:

2[tex]\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\sqrt{27}[/tex] = [tex]\sqrt{9}[/tex][tex]\sqrt{3}[/tex] = 3[tex]\sqrt{3}[/tex]

3[tex]\sqrt{3}[/tex] - 1[tex]\sqrt{3}[/tex] = 2[tex]\sqrt{3}[/tex]

Answer:

B i got it right trust me i got 100

Step-by-step explanation:


A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 12 cm, and the base has a radius of 5.5 cm. The cooler has
18,997 cm of water in it. How many cups can be filled from the cooler?
Use 3.14 for 11, and do not round your answer.

Answers

Answer:

16.65 cups

Step-by-step explanation:

Step one:

height =12 cm, and

the base has a radius =5.5 cm

Volume of the cup = πr^2h

substitute we have

volume= 3.142*5.5^2*12

volume= 3.142*30.25*12

volume=1140.546cm^3

Step two:

volume of cooler=  18,997 cm^3

hence the number of cups to fill it is

=18,997/1140.546

=16.65 cups

.25 x .22
what is the answer

Answers

Answer:

.055

Step-by-step explanation:

0.055 should be the answer

please help, thanks :)​

Answers

I think its A OR C I just think

Answer:

D :)

Step-by-step explanation:

Just answer Number 5, I got the rest.

Any spam will be reported/deleted.

Answers

Answer:

30

Step-by-step explanation:

so one of them is 90, one of them is 60

180-150 = 30

so 30

Read Out
Loud
Angus cut his neighbor's lawns for the summer. By the end, he
had $240 in his lawn cutting bank account after paying a total
of $60 for gas.
He earned $6 for every lawn he mowed in his neighborhood.
How many yards did he mow?
Select the expression that represents the problem above
a) (240 - 60) + 6
b) 240 + 60 x 6
c) 240 +60 - 6
d) (240 + 60) + 6
2
A
5

Answers

Answer:

pov: im getting free points

Step-by-step explanation:

Identify the term(s), coefficient(s), and constant(s) in the expression 9+4x^2+x/3.

Answers

Answer:

Terms: x3, 4x2, 9. Coefficients: 1, 4. Constants: 9.

Step-by-step explanation:

Answer:

Terms: addition, division, multiplication

Constants: 9 and 2

Coefficients: 4 and 3

I think these are the right answers, I am so sorry if they are wrong!!

Question 3: i’ll mark u brainliest

Answers

Answer:

26

Step-by-step explanation:

56cm-48cm=8cm

18cm+8cm=26cm

this is so easy if you ask me u already know the answer and the answer is definitely 26 so make sure to like and rate my answer because that's why I mainly help people to get more points but as I just started it is difficult because people have got twice more than me

50 POINTS AND I WILL MARK BRAINLIEST Find the volume please help

Answers

Answer:348

Step-by-step explanation:

For composite prisms, where the bases are a composite shape, the area of the bases is the sum of the areas of the parts it is made of. The volume of the composite prism is then given by multiplying the whole base area by the height of the prism.In math, volume is the amount of space in a certain 3D object. For instance, a fish tank has 3 feet in length, 1 foot in width and two feet in height. To find the volume, you multiply length times width times height, which is 3x1x2, which equals six. So the volume of the fish tank is 6 cubic feet.

Answer:

[tex] 1,205.8\: {ft}^{3} [/tex]

Step-by-step explanation:

Given object is made up of cylindrical and conical parts.

Fir cylindrical part:

r = 16/2 = 8 ft

h = 4 ft

For conical part:

r = 16/2 = 8 ft

h = 6 ft

Volume of the object = Volume of cylinderical part + Volume of the conical part

[tex] = \pi {r}^{2} h + \frac{1}{3} \pi {r}^{2} h \\ \\ =\pi \times {8}^{2} \times 4 + \frac{1}{3} \times \pi \times {8}^{2} \times 6 \\ \\ = 64\pi \times 4 + \frac{1}{ \cancel3} \times 64\pi \times \cancel6 \\ \\ = 64\pi(4 + 2) \\ \\ = 64\pi \times 6 \\ \\ = 384\pi \\ \\ = 384 \times 3.14 \\ \\ = 1,205.8 \: {ft}^{3} [/tex]

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