How do you solve law of cosine?​

How Do You Solve Law Of Cosine?

Answers

Answer 1

Draw and label a standard Oblique Triangle, as we’ve done in our previous lessons.

Determine the given congruence, either SAS or SSS, and pick the equation that helps you solve for either a missing side or angle.

Plug into your chosen equation and solve.

The "Law of Cosines" can be used to calculate one side of a triangle when the angle opposite and the other two sides are known. The "Law of Cosines" can be expressed as c2 = a2 + b2 - 2 a b cos C (1)

The cosine rule is an extension of this mathematic principal that makes it effective for non-right triangles and states that in regard to a certain angle, the square of the side of the triangle opposite that angle is equal to the squares of the other two sides added together, minus two times both..

Answer 2

Answer:

Step-by-step explanation:

Use the Law of Cosines when you know the lengths of two sides, and the angle between them. That is not the case here. You know b=24, c=21, and B=61°, but B is not between b and c.

Use the Law of Sines.

sinC/c = sinB/b

sinC = c×sinB/b

C = arcsin(c×sinB/b)

= arcsin(24sin61°)/21)

≈ 49.9°

A = 180° - B - C ≈ 69.1

a/sinA = b/sinB

a = sinA×b/sinB

= sin(69.1°)×21/sin(61°)

≈ 25.6 units


Related Questions

Find the measure of the exterior angle. *

Answers

51+2x+x=180
3x=180-51
3x=129
x=129/3
x=43 degrees

WILL GIVE BRAINLIEST IMMEDIATELY!!!!!!!
What is the minimum number of degrees that the figure shown below can be rotated so that it maps itself?
A. 30 degrees
B. 45 degrees
C. 60 degrees
D. 360 degrees
IF YOU PUT RANDOM NONSENSE ANSWERS OR A LINK I WILL REPORT YOU AND EMAIL BRAINLY.

Answers

Answer:

45 degrees

Step-by-step explanation:

Each triangle in the figure is at a 45 degree angle to the next one, telling us that if you rotate the entire thing by 45 degrees, it will flip.

Answer:

B. 45 degrees

Step-by-step explanation:

The questions is asking us to find the minimun degrees needed to rotate the shape so that it maps itslef, which is just basically asking us to roate the shape so that it looks the same as it is now. That means that we need to rotate the shape so that another one of those traingles is pointing up. There are 8 of those traingle, and there is 360 degrees in a circle. So divide 360 degrees by 8, and we find that there is 45 degrees inbetween each of the triangles. So if we rotate it by 45 degrees the next traingle will be pointing up and the shape will have mapped itself.

one ticket costs $8. if you have $56, how many tickets can you buy?


please show work if it’s possible!!:)

Answers

Answer:

7

Step-by-step explanation:

because 56 divided by 8 = 7

or 7 x 8 = 56

hope this helps?

if its right can i have brainlist?

:')?

Answer:

You can buy 7 tickets

Step-by-step explanation:

56 devided by 8 is 7

can you please help me thank you and please write it out ​

Answers

Answer:

≈ 29°

Step-by-step explanation:

Using calculator

[tex]cos^{-1}[/tex] [tex]\frac{7}{8}[/tex] ≈ 29° ( to the nearest degree )

b. If 3x - 3 and 5x + 7° are the angle of a linear pair, find their measurement the angle

Answers

Answer:

x = 22°

the angles are: 63° and 117°

Step-by-step explanation:

a linear pair of angles total together to be 180°

so:

3x - 3 + 5x + 7 = 180

combune like terms:

8x = 176

divide both sides of the equation by 8:

x = 22°

the angles are: 63° and 117°


[tex] 25x { }^{2} + (5x - 3)(2x + 7) - 9[/tex]

Answers

Step-by-step explanation:

[tex]5x - 3 \times 7x + 10[/tex]

Answer:

35x² + 29x - 30

Step-by-step explanation:

Given

25x² + (5x - 3)(2x + 7) - 9 ← expand factors using FOIL

= 25x² + 10x² + 29x - 21 - 9 ← collect like terms

= 35x² + 29x - 30

urgent please help. will mark brainliest.
[tex]given \: that \: p = {x}^{2} + 4x - 2 \: and \: q = 2x - 1 \: and \: q - p = 2 \: find \: x[/tex]

Answers

Answer:

x= -1

Step-by-step explanation:

p= x² +4x -2 -----(1)

q= 2x -1 ------(2)

q -p= 2 -----(3)

Substitute (1) and (2) into (3):

2x -1 -(x² +4x -2)= 2

2x -1 -x² -4x +2= 2 (Expand bracket)

-x² -2x +1=2 (Simplify)

x² +2x +2 -1= 0 (Bring all terms to one side)

x² +2x +1= 0

(x +1)²= 0 (Factorise)

x +1= 0 (Square root both sides)

x= -1 (-1 on both sides)

What is the value of x in the figure?

Answers

Step-by-step explanation:

If there are two straight lines the opposite angles equal each other

so 4x+2=150

subtract both sides by 2

4x=148

divide both sides by 4

x=37

Hope that helps :)

I really need help with this

Answers

Answer:

I don't have a grid with me but look at it this way. if you look at the first set of points look at where they are starting. and. then look at the second set of points. see if the points plotted bend over the x axis or the y axis:)

para envasar 600kg de mole en pasta una productora de alimentos utiliza 140 envases ¿cuantos envases se necesitará para 950kg de mole?

Answers

Answer:

link respuesta - https://answer-helper.com/mathematics/question21964709

Step-by-step explanation:

Which decimals are less than the one shown in this diagram?

Answers

Answer:

0.20

Step-by-step explanation:

Since the rest of the choices are greater then 22

What is the product of (2p + 7)(3p2 + 4p – 3)?
A.6p3 + 29p2 – 34p + 21
B.6p3 + 29p2 – 22p + 21
C.6p3 + 29p2 + 22p – 21
D.6p3 + 29p2 + 34p – 21

Answers

distribution property
6p^3 + 8p^2 + 6p + 21p^2 + 28p - 21
=6p^3+29p^2+34p-21
last option

Answer:

C

Step-by-step explanation:

6p3 + 8p2 - 6p + 21p2 +28p -21

6p3 + 29p2 + 22p - 21

14) In golf, a birdie means you score (-1) and a bogey means you score (+1), in relation to par. What
would your score be if, after eight holes, you had five birdies and three bogeys?

Answers

Answer:

-2

Step-by-step explanation:

Answer:

-2 the other person is also definitely right.

find the surface area (will give brainliest)

Answers

Answer:

336 ft^2

Step-by-step explanation:

All you have to do is find the area of each face, and add them up.

Firstly lets starts with the identical triangles.

There are two of them, and the area of a triangle is b*h/2

So the area is 6*8/2 , which is 24, and since their are two of them, we add another 24, and we get 48 so far.

Since all the other sides are rectangles, we can just multiply the given lengths and add them up.

So, we have

12x10, which is 120,

12x8, which is 96, and

12x6, which is 72.

Now add all of them up.

48+120+96+72 which is 336

Your answer is 336 ft^2

Please help! Will mark brainliest!

Ella spins two spinners that are each divided into five sections labeled 1-5. How many different combinations can she spin?

Answers

Each spinner has 5 numbers, the total combinations would be 5 x 5 = 25 combinations,

The answer is 25

5. Solve

1. 2/3 × 3 =

2. 3/4 × ------- = 18/4

3. 9/12 × 4 =

4. ------- × 8 = 48/8

5. 6/3 is the -------- multiple of 1/3

4th grade math ​

Answers

Answer:

brainliest plsss

Step-by-step explanation:

1) 2

2)

3) 3

4)

5)

Justin takes his cat to be groomed. The fee to groom the cat is $65 plus 5.75% tax. Is $70 enough to pay for the service?

Answers

Answer:

Yes, it is

Step-by-step explanation:

You have to multiply 65 times .0575 to get the amount of money the TAX ALONE will be and you get 3.7375 which rounds up to $3.74 in taxes. Then you add it to the fee to groom the cat and you get $68.74



A sleep study found that the number of hours each person slept was normally
distributed. The study found that the average person slept 8.2 hours with a
standard deviation of 0.7 hours.
1. What range of hours of sleep are the 99.7% closet to the mean

Answers

Answer:

6.1-10.3

Step-by-step explanation:

Multiply standard deviation times 3 = 2.1

Subtract and add to mean.

Can someone help me pls

Answers

A..

NOT YOU COMMENTING ON POST JUST TO GET POINTS....

Answer:

A.) nine tenths 9/10

Step-by-step explanation:

So if you pronounce 0.9 as it's supposed to be in word form, it's nine tenths, or 9/10

hope this helps:)

Abigail tosses a coin of a bridge into the stream below. The distance in feet, the coin is above the water is modeled by the equation y=-16x^2+96 +112 , where x represents time in seconds.


answer choices -

7 feet

112 feet

120 feet

256 feet

Answers

the answer is 256 feet i’m pretty sure

Mark rides his bike from his house to the closest edge of the park, across the length of the park, and then back home. The distance from his house to the closest edge of the park is 0.9 km and the distance from the far side of the park to his house is 1.6 km. The map shows the path Mark took on his bike. If ∠B = 85° on the map, then use the law of cosines to determine the length of the park in kilometers.

Answers

Answer:

The length of the park is approximately 1.77 kilometers

Step-by-step explanation:

The law of cosines is most appropriate when the measures of two sides and the included angle formed n=by the path of motion is known

The given parameters of the question are;

The distance from Mark's house to the edge of the park, a = 0.9 km

The distance from the far side of the park to Mark's house, c = 1.6 km

Whereby the included angle between lines, 'a' and 'c' is the ∠B = 85°, by cosine rule, we have;

b² = a² + c² - 2·a·c·cos(B)

Where;

b = The length of the park in kilometers

By plugging in the known values of 'a', 'b', and 'c', we get;

b² = 0.9² + 1.6² - 2 × 0.9 × 1.6 × cos(85°) ≈ 3.11899146089

∴ b = √(3.11899146089) ≈ 1.76606666377

Therefore, the length of the park, b ≈ 1.77 km.

i need help and please write the answer out​

Answers

Answer:

Dang it I need a picture. Is it any way you can type it out please?

Step-by-step explanation:

Ill answer it when u edit and type it and i duplicated this tab so it doesnt say that max ppl have answered

Answer:

≈ 83°

Step-by-step explanation:

Using a calculator

[tex]cos^{-1}[/tex] (0.12 ) ≈ 83° ( to the nearest degree )

The circle below has center Z. Suppose that m XY = 122°. Find the following.

Answers

Answer:

m∠XZY = 122°

m∠XWY = 61°

Step-by-step explanation:

From the picture attached,

A circle has been given with center as Z.

∠XZY is a central angles subtended by the arc XY,

Therefore, measure of angle XZY will be equal to measure of ∠XZY.

m(∠XZY) = m(arc XY) = 122°

By another property of the circle,

"Inscribed angle measures the half of the central angle intercepted by the same arc."

Therefore, m∠XWY = [tex]\frac{1}{2}(\angle XZY)[/tex]

                                 = [tex]\frac{1}{2}(122)[/tex]

                                 = 61°

I need help with this question asap! ​

Answers

Answer:

c is equivalent to the expression

Step-by-step explanation:

i hope this helps :)

What is the equation of the line through (2, –4) and (0, 4)?A.y = 4x – 4B.y = 4x + 4C.y = –4x + 4D.y = –4x – 4SUBMITarrow_backPREVIOUS

Answers

Answer:

C

Step-by-step explanation:

I did this by graphing the points on paper and then forming an equation from there. Another way is to do to slope equation. The slope equation is: [tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex], so you would just fill it in here. (4+4) (I did PLUS since subtracting a negative is adding a postive number). This equals 8. (0-2) is -2, so 8/-2 is -4x. For the y-intercept, it is already shown in the equation. This is 4 because if x is 0, then that is the y-intercept. So: y=-4x+4.

60 people were asked if they prefer to go on holiday in Britain or in spain

Answers

A circuit contains two batteries, each of negligible internal resistance, and two resistors as shown. The galvanometer has a current reading of zero. What is the electromotive force of battery x?

m/j 2019 12 9702

ill give u crown thingy

Answers

-5/19 is negative
Which of the results are negative
Remember (-) * (-) = (+)

Solution: B, D, E

Combine like terms y+4+5(y+8)

Answers

Answer:

8y+9

Step-by-step explanation:

Answer:

6y + 44

Step-by-step explanation:

y + 4 + 5(y + 8)

y + 4 + 5y + 40

6y + 44

plss help i’ll give brainliest thank you!

Answers

Answer:

I think the answer would be point P , first one . ♡

point p
absolute value of -6 = 6 = biggest number listed

plz hurry! answer asap!!
The box of a box-and-whisker plot shows:
Check all that are true.

a). Q3

b). Q2

c). The end points of the data set

d). The median of the data set

e). Q1

Answers

Answer:

kjvdfvnfjv

Step-by-step explanation:rjfnu4fburbf

Answer:

A, D, E

Step-by-step explanation:

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