The vertice of triangle ABC are A(8,4), B(6,3) and C(5-5). Find the angle between the side AB and BC.​

Answers

Answer 1

Answer:

Step-by-step explanation:

Use law of cosines

c² = a² + b² - 2abcosθ

cosθ = (c² - a² - b²) / -2ab

c = length of AC = √(8 - 5)² + (4 - (-5))² = √90

b = length of AB = √(8 - 6)² + (4 - 3)² = √5

a = length of BC = √(6 - 5)² + (3 - (-5))² = √65

cosθ = (√90² - √65² - √5²) / -2√65√5

cosθ = 20 / -36.05551...

cosθ = - 0.5547001

θ = 123.69°


Related Questions

LCM of two numbers is 1134 and HCF is 18. if one of the numbers is 162, find the other. number.

Answers

Answer:  126

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

Work Shown:

Let x and y be the two numbers.

We're given x = 162 and the variable y is unknown.

We're also given LCM = 1134 and HCF = 18

So,

LCM = (x*y)/HCF

1134 = 162*y/18

1134 = (162/18)y

1134 = 9y

9y = 1134

y = 1134/9

y = 126

The other number is 126

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

Notice that

162 = 18*9126 = 18*7

showing that 18 is the highest common factor (HCF) of the numbers 162 and 126. This partially confirms the answer.

Now let,

A = multiples of 162B = multiples of 126

So,

A = 162, 324, 486, 648, 810, 972, 1134, 1296, ...B = 126, 252, 378, 504, 630, 756, 882, 1008, 1134, 1260, ...

We see that 1134 is in each list of multiples and the smallest such common item. So the lowest common multiple (LCM) of 162 and 126 is 1134. This helps fully confirm the answer.

Sierra left $4.50 as a tip for a waiter. This was 18% of the bill before the tip. How much was her bill before adding the tip?

Answers

Answer:

25

Step-by-step explanation:

what is 4.5 18% of

100 / 18 = 5.56

4.5 x 5.55... = 25

$25

4.50 = 18%
0.25 = 1%
25 = 100%

What is 8 hours and 37 minutes converted into minutes?

Answers

Answer:

517 minutes

Step-by-step explanation:

Hope this helps:))

Answer:

517 mins

Step-by-step explanation:

1hour=60min

8hour=480min

37min is the same because it is already in minutes

480+37=517mins

b) Find the square root of 66.4225.

Answers

Answer:8.15

Step-by-step explanation: 8.15

the distance between(3,-3) and (-3,5)

Answers

Answer:

10 units

Step-by-step explanation:

use distance formula to solve for this!

distance formula is

the square root of the change in x squared + the change in y squared.

sqrt (3+3)^2 + (|-3-5|)^2

sqrt 36 + 64

sqrt 100 = 10

the distance is 10 !

Answer:

the ditstance between (3,-3) and (-3,5) is 10

Step-by-step explanation:

we know the distance in a cartesian axis is

[tex] \sqrt{(x2 - x1) ^{2} + (y2 - y1) ^{2} }[/tex]

so the answer is calculated 10

Help help math math

Answers

Answer:

y = 1/2x + 3

Step-by-step explanation:

Y= mx+b is slope-intercept form, m is for slope, and b is for my y-intercept. Also remember the pitch is the rise over the run or the y-direction over the x-direction.

In our case, they highlight 2 points to calculate the slope; looking at the graph, we can see it rises one and runs two to get to the second highlighted point at (2,4). And my slope is rise over run, so here it 1/2.

My b or y-intercept is simply three because that is where the line passes over or intercepts the Y-axis

Answer: y = 1/2 x + 3

Step-by-step explanation:

To solve for the hypotenuse of a right triangle, what information do you need?

Answers

To find the hypotenuse of any right triangle, you need to square and add the other two sides. We call those two sides LEGS.

(legs)^2 + (leg)^2 = (hypotenuse)^2

In your textbook, you will see it this way:

a^2 + b^2 = c^2, where a = b = legs.

Answer:

You can use Sin to solve that problem in it you should have Angle=theeta and perpendicular.

Step-by-step explanation:

First you should have Perpendicula and Then Angle Put That info in Sinɵ = perpendicular/base. Solve it and get your Answer

Which type of correlation does this scatterplot show?

Answers

Answer:

i think the answer to this question is positive correlation

Step-by-step explanation:

this image below may help u

Positive correlation. It is a positive correlation if y increases when x increases or y decreases when x decreases.

Choose the function that the graph represents.
Click on the correct answer.

Answers

Answer:

y=log_2 (x)

Step-by-step explanation:

We see that the graph passes though the point (2,1). So we can write:

log_a (2) = 1  => a = 2

So it's a log in base 2.

1) To solve this system of equations by elimination, what operation could be used to eliminate the y-variable and find the value of x?
2x - 4y = 6
-3x + 3y = 12
A) add 3 times the second equation to 4 times the first equation
B) add 4 times the second equation to 3 times the first equation
C) subtract 3 times the second equation from 4 times the first equation
D) subtract 4 times the second equation from 3 times the first equation

PLEASE HELP!!!

Answers

Answer:

Option B is correct.

add 4 times the second equation to 3 times the first equation

Step-by-step explanation:

Answer:

B) add 4 times the second equation to 3 times the first equation

Step-by-step explanation:

So you have these two equations:

2x - 4y = 6

-3x + 3y = 12

In order "to solve this system of equations by elimination" we want to make BOTH of the equations have a term (in this case the y term) and have the same coefficient (that's the number right next to the y) If they are the exactly same number, even the same sign in front, then we would subtract the equations. If they have the same coefficient but different signs, then we would add the equations. This will eliminate the y term completely. So in order to make them have the same coefficient. We'll multiply the first equation by 3 and the second equation by 4

3(2x - 4y = 6)

4(-3x + 3y = 12) multiplying all the way across the equation (distributing)

We'll get

6x -12y = 18

-12x + 12y = 48 Then you are actually adding from the top, down and get one equation from adding the two existing ones together.

-6x = 66 And then you are able to solve it by dividing both sides by -6 to get

x = -11

You can then use either equation and x = -11 to find y. Your solution is the x, y pair. You can check it by putting the x and y into both equations and finding it makes a true statement in both.

The mass of a sheet of metal varies jointly with its area and its thickness. A sheet of metal of area 250cm2 and thickness 1mm has a mass of 200g. Find the formula which connects the mass M g, the area A cm2 and the thickness 1mm. Hence find the mass of a piece of metal of area 400 cm2 and thickness 3mm​

Answers

The Formula of the relation is M = 8AT.

The mass of the metal sheet is 960 g.

The expression below shows the variation between the mass of the sheet (M), Area of the Sheet(A), and thickness (T).

Proportionality:

M ∝ AT

Removing the proportionality sign,

M = KAT

Where:

K = constant of proportionality.

make K the subject of the equation:

K = M/KT.................... Equation 1

From the question,

Given:

M = 200 gA = 250 cm²T = 1 mm = 0.1 cm

Susbtitute into equation 1

K = 200/(250×0.1)K = 8 g/cm³

Formula:

M = 8AT................. equation 2

Hence the formula of the relation is M = 8AT

If,

A = 400 cm²T = 3 mm = 0.3

Substitute these values into equation 2

M = 8(400)(0.3)M = 960 g

Hence,  the mass of the metal sheet is 960 g

Learn more about joint variation here: https://brainly.com/question/26047253

vnicn letter on the map indicates the location of the North China Plain?
AAA
o
О В
О С
OD
F

Answers

Answer:

The letter C

Step-by-step explanation:

North china plain runs along near the northern east border. It's territory has a noticeable river going through it, and is close to the Gulf of Jilin. A is most likely not correct, since North china plane doesn't go up that high the Yellow river. So it is safe to assume the answer is most likely C

3.
In parallelogram ABCD, M m

Answers

Answer:

Please send a picture or explain properly

If [tex]x^{2} + y^{2} = 6[/tex] and [tex]x + y = \sqrt{7}[/tex], then what is [tex]x-y[/tex]?

Answers

Recall that

(x + y)² = x² + 2xy + y²

Then if x + y = √7 and x² + y² = 6, we have

(√7)² = 6 + 2xy   ⇒   2xy = 1

We also have

(x - y)² = x² - 2xy + y²

so that

(x - y)² = 6 - 1   ⇒   (x - y)² = 5

which means x - y has two possible values, √5 or -√5.

can anyone pls help?

Answers

Answer:

5x+12+x'

_______

2x'-2x-4

'=2

a book is marked down by 28% from the original price of 19.50 what is the new price​

Answers

Answer:

$14.04

Step-by-step explanation:

to find the answer we can multiply 19.5 by 28% and use that answer to subtract to 19.5 or we can just directly multiply 19.5 by 72%

19.5 * 72% = 14.04

it costs $14.04 after a markdown of 28%

(1) Mr. Jones finished correcting 6 out of 7 homework assignments. Miss Smith finished
correcting 83% of that week's homework assignments. Which teacher corrected a greater
percentage of her homework assignments?

Answers

Answer:

Mr. jones

Step-by-step explanation:

6/7 is 85.71% which is greater than 83%.

Solve each inequality 5 + 5(x + 4) = 20

Answers

Answer:

5 x + 25 ≤ 20

Step-by-step explanation:

Simplify 5  +  5  (  x  +  4  ) .

5  + 5 x  +  20  ≤  20

Add  5  and 20 .

135% as a fraction or a mixed number fully simplified please 50 POINTS + BRAINILEST

Answers

Answer:

27/20

Step-by-step explanation:

135% = 135/100 = (27/20 × 5) = 27/20 = 1 7/20 I think

Find the HCF of 150 and 250.

Answers

Answer:

It is 50

Step-by-step explanation:

Hope this helps

Answer:

50

Step-by-step explanation:

Please look for the question in the picture.

Answers

Answer:

x = 8

Step-by-step explanation:

[tex]\frac{1}{4} x-\frac{3}{5} =1\frac{2}{5}[/tex]

[tex]\frac{1x}{4} -\frac{3}{5} =\frac{7}{5}[/tex]

[tex]\frac{1x}{4} =\frac{7}{5} +\frac{3}{5} \\[/tex]

[tex]\frac{1x}{4} =\frac{10}{5}[/tex]

Use cross multiplication.

[tex]5x=4*10[/tex]

[tex]5x=40[/tex]

[tex]\frac{5x}{5}=\frac{40}{5}[/tex]

[tex]x=8[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

Hello There!

Question:-

[tex]\sf \longmapsto1/4x-3/5=1\dfrac{2}{5}[/tex]

We need to find the value of x.

Solution:-

Convert[tex] \dfrac{2}{5}[/tex] to improper fraction:-

[tex] \sf \longmapsto\dfrac{1}{4} x + \dfrac{ - 3}{5} = \dfrac{7}{5} [/tex]

Add 3/5 to both sides:-

[tex]\sf \longmapsto \: \dfrac{1}{4} x + \dfrac{ - 3}{5} + \red {\dfrac{3}{5}} = \dfrac{7}{5} + \red{\dfrac{3}{5}} [/tex]

On Simplification:-

[tex]\sf \longmapsto \: \dfrac{1}{4} x + \dfrac{ 3}{5} - \dfrac{3}{5} = \dfrac{7 + 3}{5} [/tex]

[tex]\sf \longmapsto \: \dfrac{1}{4} x - 0 = \cancel \dfrac{10}{5} [/tex]

[tex]\sf \longmapsto \dfrac{1}{4} x = 2[/tex]

Multiply both sides by 4 :-

[tex]\sf \longmapsto \: \red4 \times \bigg( \dfrac{1}{4} x \bigg) = \red 4 \times 2[/tex]

On Simplification:-

[tex]\sf \longmapsto \: \cancel 4 \times \dfrac{1}{ \cancel4}x = 4 \times 2[/tex]

[tex]\sf \longmapsto \: x = 8[/tex]

______________________________________

Henceforth,The value of x is :-

[tex] \boxed{ \huge\bf \: x = 8}[/tex]

________________________________

Please let me know if you have any questions.

~MisterBrian

A rectangle that measures 10 inches by 7 inches.

Which expression will determine the perimeter, in inches, of the rectangle?

Answers

Answer:

( 2 x 10 ) + ( 2 x 7)

Step-by-step explanation:

Hope this helped!

Answer: 34 inches  Perimeter = 2L + 2W

Step-by-step explanation:

A rectangle has two sets of equal side lengths.    We'll assign 10 inches to the length, L, and 7 inches to the width, W.

The perimeter of a rectangle is 2L + 2W

Perimeter, P = 2(10) + 2*(7)

P = 20 + 14

P = 34 inches

7. Derek has $20 to spend on used books. Hardcover books cost $5 each and paperbacks cost $2 ea Write an equation that models the situation.​

Answers

You could use 5x+2x=20

Which of the following is the graph of y=x+3

Answers

Answer:ITS THE SECOND ONE

Step-by-step explanation:

PLEASE HELP WILL MARK BRAINLIEST!

Answers

Answer:

Step-by-step explanation:

[tex]12000(1+\frac{.12}{4})^{4*45}=2454040.31463\\=2454040[/tex]

Consider f and c below. f(x, y) = x2 i + y2 j c is the arc of the parabola y = 2x^2 from (−1, 2) to (0, 0)
(a) find a function f such that f = ∇f.
f(x, y) =
(b) use part (a) to evaluate c ∇f · dr along the given curve C.

Answers

(a) If there is a scalar function f(x, y) such that ∇ f(x, y) = x² i + y² j, then

∂f/∂x = x²

∂f/∂y = y²

Integrating both of these equations with respect to x and y (respectively) gives

f(x, y) = 1/3 x³ + g(y)

f(x, y) = 1/3 y³ + h(x)

Differentiating with respect to the other variable gives

∂f/∂y = g'(y) = y²

∂f/∂x = h'(x) = x²

so it follows that

f(x, y) = 1/3 x³ + 1/3 y³ + C

for some constant C.

(b) By the gradient theorem,

[tex]\displaystyle \int_C \nabla f \cdot d\vec r = f(0,0) - f(-1,2) = \boxed{-\dfrac73}[/tex]

Find the x- and y-intercepts of the parabola y=x2+4x−6.

Answers

The x and y intercepts are as followed: where the parabola touches the X axis

Find the Values of X and Y
X=
Y=

Answers

Answer:

14 and 12

Step-by-step explanation:

Find the vale of x need help

Answers

Answer:

x=45 degrees

Step-by-step explanation:

You can see based off of the markings on the 2 sides, that it is an isosceles triangle, so that means the 2 base angles are equal.

so 2x+90=180 degrees

so 2x=90 degrees

x=45  

Answer:

[tex]x=45[/tex]

Step-by-step explanation:

→a+b+c=180

→Angle a is given to be 90 degrees

→ Also the other to angles are the same length so the same angle

[tex]90+2x=180[/tex]

Step 1: Subtract 90 from both sides.  

[tex]2x+90-90=180-90[/tex]

[tex]2x=90[/tex]

Step 3: Divide both sides by 2.

[tex]\frac{2x}{2} =\frac{90}{2}[/tex]

[tex]x=45[/tex]

Answer:x=45

1. What kind of interest does credit card P illustrate? ​

Answers

Answer:

Interest rates can come in all sizes, but for credit cards they generally fall into one of three categories:

variable rate, fixed rate and promotional rate. Most companies issue cards tied to revolving credit. Users of these cards are allowed to carry a balance on their accounts at the end of every billing cycle.

Step-by-step explanation:

Hope this helps you !!
Other Questions
HELP PLEASE!!!!!!!!!!!!!!!!!!!! Voyage au bout de la nuitLe narrateur, Ferdinand Bardam, voque ses debuts en tant que soldat lors de la Guerre de 1914-(Ses Allemands accroupis sur la route, tetus et diralleurs, tiralent mal, mais ls semblaient avoir des balles en revendrides pleins magasins sans doute. La guerre dcidement In tiarl/ens-"erminde/Notre colonel, il taut dire de qui est malestestait une bravoure stupfiante i t se promenaient betal Mite de e la chausse et puis de long en large parmi lestrajectoires aussi simplement que s'Il avait attendu un ami sur le guai de la gare, un peu impatient seulement._Moi d'abord la campagne, faut que je le dise tout de suite, a jamais pu la sentit, je l'ai toujours trouve triste avegansbourbiers qui n'en finissent pas, ses maisons ou les gens ne sont jamais et ses chemins qui ne vont nulle part. Mais quandon y ajoute la guerre en plus, c'est a pas y tenir. Le Vent s'tait lev brutal, de chaque ct des talus, les peupliers mlaientleurs rafales de feuilles aux petits bruits secs qui venaient de 1a-Das sur nous. Ces soldats inconnus nous rataient sans cesse,mais tout en nous entourant de mille morts, on s'en trouvait comme habills. Je n'osais plus remuer.Le colonel, c'tait donc un monstre l A prsent. en tais assur, pire qu'un chien, il n'imaginait pas son trpas* I deconus en mme temps qu'il devait y en avoir beaucoup des comme lui dans notre arme, des braves, et puis tout autantSans doute dans l'arme d'en face. Qui savait combien 7 Un, deux, plusieurs millions peut-tre en tout ? Ds lors matrousse devint panique. Avec des tres semblables, cette imbcillit infernale pouvait continuer indfiniment... Pourquois'arrteraient-ils ? Jarnais je n'avais senti plus implacable la sentence des hommes et des choses.Serais-je donc le seul lche sur la terre ? pensais-je. Et avec quel effroi ... Perdu parmi deux millions de fous hroiques etdchains et arms jusqu'aux cheveux ? Avec casques, sans casques, sans chevaux, sur motos, hurlants, en autos, siffiants,tirailleurs, comploteurs, volants, genoux, creusant, Se dfilant, caracolant dans les sentiers, ptaradant, enferms sur laterre, comme dans un cabanon, pour y tout dtruire, Allemagne, France et Continents, tout ce qui respire, dtruire, plusenrags que les chiens, adorant leur rage (ce que les chiens ne font pas), cent, mille fois plus enrags que mille chiens ettellement plus vicieux ! Nous tions jolis i Dcidment, je le concevais, je m'tais embarqu dans une croisadeapocalyptique.Louis-Ferdinand Cline (1894-1961),Voyage au bout de la nuit (1932) Ed. Gallimard.1. bourbier: lieu creux plein de boue. 2. son trpas: sa mortQuestionsLe narrateur.1)2)O la scne se droule-t-elle?Qui raconte cette histoire ? Relevez le pronom employ par le narrateur. Fait-il partie del'histoire ? Pourquoi ?3)Relevez quelques termes du langage familier. Qu'est-ce que cela nous dit sur le niveau socialdu narrateur ?4)Dans les trois premires lignes du deuxime paragraphe, quels sontles tempsmajoritairement employs? Relevez-en deux exemples. Le narrateur est-ii toujours en train de raconter ?Que fait-il?Analyse de la phrase.5) Ces Allemands accroupis sur la route, ttus et tirailleurs, tiraient mal, mais ils semblaient avoir des balles en revendre, des pleins magasins sans doute. Analysez cette phrase complexe en identifiant les propositionset leur articulation.6) Moi d'abord la campagne, faut que je le dise tout de suite, j'ai jamais pu la sentir, je l'ai toujours trouvetriste, avec ses bourbiers] qui n'en finissent pas, ses maisons o les gens n'y sont jamais et ses chemins qui neyont nulle part. Identifiez prcisment les lments souligns et donnez leur fonction.7) Ces soldats inconnus nous rataient sans cesse... Analysez la fonction de tous les mots dans cette phrase.8) Donnez la classe grammaticale de tous le mots en gras du dernier paragraphe.La folie de la guerre,9) Montrez en relevant et analysant une figure de style prcise que le narrateur cherche exagrer sonpropos.10) On s'en trouvait comme habills Quelle est cette figure de style ? Expliquez la.11) Fous hroques Quelle figure reprez-vous ici ? Que signifie-t-elle?. Plz help me i will give u 50pts^_^ and brainliest I need help on this, thank you in advance What are the connotative meanings of sighing Whats the an and the a10 What do you think will happen to the Sun when all the hydrogen in it fuses to become helium? Write the equation of the line that is perpendicular to y=3x-6 and passes through the point x, y(2,0) Perpendicular is the negative reciprocal so the slope is -1/3Need to know b and the full equation With work please. Thank you! I need help find the value of x which characters mother was captain of hogwarts gobstones club? What stress causes this type of fault to form? compression gravity tension shearing. T is the midpoint of RS, T has coordinates (6, 4), and S has coordinates (3,-2). What are thecoordinates of R? OMG HELP RN I GIVE BRAINLIST Which of the following correctly describes the solutions to the inequality? A. There are 5 solutions. The solutions are the numbers between 4 and 8. B. There are an infinite number of solutions. The solutions are all numbers less than 3. C. There are 6 solutions. The solutions are the numbers between -2 and 3. D. There are an infinite number of solutions. The solutions are all numbers greater than 3. A rule for creating a pattern is given below.Rule: Subtract 7 from 2 to get y.Which ordered pair, (x, y), works for the rule? Click on the box to indicate the correct order of procedures to deal with a heat related illness. First: second: third: fourth: fifth:. 0.1216 gwireAllgof20 mL of 1M HClneutralized by addition of 50 mL of 0.20 M NaoHFind the Atomic mass of Mg ?addedmagnisium was addedthe excessacidwas The oxygen atoms in the thermosphere absorb high-energy solar radiation and convert it into heat energy.truefalse "Jack had a knack for packing picnic baskets with great food." Which of the following goods would be included in the calculation of gross domestic product? select the two correct answers. Why did nationalism thrive in period of 1750-1900?