In ∆ABC if AB = 6 cm , BC = 8cm, AC = 10 cm then value of ∠B is ________​

Answers

Answer 1

Answer:

90 degrees

Step-by-step explanation:

B is the corner and angle opposite of the side AC.

so, AC is becoming side c, and the other two are a and b (it does not matter which is which).

we use the enhanced Pythagoras formula for general triangles

c² = a² + b² - 2ab×cos(C)

in our example the angle C is named B.

but other than that we simply calculate

10² = 6² + 8² - 2×6×8×cos(B)

100 = 36 + 64 - 96×cos(B)

100 = 100 - 96×cos(B)

0 = -96×cos(B)

cos(B) = 0

=>

B = 90 degrees


Related Questions

(Picture) Could someone help me solve this I need to use Inverse Operations but I don't fully understand? I'll mark brainliest, 10 Points.

Answers

Answer:

[tex]x = - 8[/tex]

Step-by-step explanation:

First,Step write the given equation.

[tex] \frac{x}{2} + 7 = 3[/tex]

In Algebra, we learn how to solve for a missing term called a variable. We must use inverse operations to undo terms to isolate our variable. Inverse operations means that we do the opposite of the given.

Opposite of Addition is Subtraction, vice versa.Opposite of Multipication is Division, vice versa.

For example, say we have a equation

[tex]x + 2 = 3[/tex]

We would subtract 2 from both sides. E.g( remember the golden rule of algebra). What we do to one side, we do the other. This applies when we solving for a variable.

This means that

[tex]x = 1[/tex]

And if we substitute 1 in for x, it is indeed true.

[tex]1 + 2 = 3 = 3[/tex]

Now, back to the question.

[tex] \frac{x}{2} + 7 = 3[/tex]

First, we subtract 7 from both sides to get rid of the 7 on the left side. Also remeber to undo terms that aren't included in the variable when solving these problems.

So now we got

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

Then we multiply 2 by both sides since that the opposite of division.

[tex] \frac{x}{2} \times 2 = x = -4 \times 2 = - 8[/tex]

So this means that

[tex]x = - 8[/tex]

If we plug this in, this is true.

[tex] \frac{ - 8}{2} + 7 = 3[/tex]

what is the equation in slope intercept form 3 y - 9= 12x please help fast ​

Answers

Answer:

Step-by-step explanation:

Slope intercept form is y = mx + b where m is the slope and b is the y intercept SO

y = mx + b

3y - 9 = 12x

3y = 12x + 9 (divide by common denominator 3)

y = 4x + 3


In algebraic expression

Three-fourths the square of a number.

Answers

Answer:

3/4x^2

Step-by-step explanation:

Answer:

[tex] \frac{3}{4} \sqrt{x} [/tex]

where 'X' is the number

Step-by-step explanation:

hope this helps

A girl bought x kg of green apples and 3 kg of red apples. What was the total mass of all the apples she bought

Answers

Answer:

Total = x+3 kg

Step-by-step explanation:

Green apples = x kg, Red apples = 3 kg

cho tứ giác ABCD. Gọi M,N,P,Q là trung điểm của các cạnh AB, CD, AD, BC. Chứng minh rằng vecto MP = vecto QN, vecto MQ = vecto PN

Answers

Answer:

Step-by-step explanation:

Xét tam giác DAB có: P là trung điểm AD, M là trung điểm AB

=> MP là đường trung bình của tam giác DAB => MP//BD và MP=[tex]\frac{1}{2}[/tex]BD  (1)

Xét tam giác DBC có: N là trung điểm DC, Q là trung điểm BC

=> QN là đường trung bình của tam giác DBC => QN//BD và QN=[tex]\frac{1}{2}[/tex]BD  (2)

Từ (1) và (2) => vecto MP song song cùng chiều với vecto QN

và độ dài MP = độ dài QN = [tex]\frac{1}{2}[/tex]BD

=> vecto MP = vecto QN

Tương tự xét các tam giác DAC và tam giác ABC => vecto MQ = vecto PN

Find KL
IJ=9
JK=11
KL?

Answers

Answer:

KL = 6

Step-by-step explanation:

IL = 26

IJ = 9

JK = 11

KL = ?

To find KL

Let KL be x

IJ + JK + KL = IL

9 + 11 + x = 26

20 + x = 26

transpose to find KL that is x

x = 26 - 20

x = 6

therefore KL = 6

Answer:

KL = 6

Step-by-step explanation:

First step is to create an equation

Given: IL = 26

This means that the sum of the segments that make up IL also equal 26

In other words, IJ + JK + KL = 26 ( note that this is the equation that we will use to solve for the missing segment )

Given: IJ = 9 , JK = 11 and KL = ?

To find the length of the missing segment we simply plug in the known segment lengths into the equation we created and solve for the unknown one.

Equation created: IJ + JK + KL = 26

Variables: IJ = 9 , JK = 11 and KL = ?

Plug in variables into equation

9 + 11 + KL = 26

Now solve for KL

Step 1 Combine like terms ( 9 + 11 = 20 )

20 + KL = 26

Step 2 Subtract 20 from both sides

20 - 20 + KL = 26 - 20

KL = 6

And we are done!

A) Write a number to represent 57 feet below sea
level.

Answers

Answer:

-57

Step-by-step explanation:

the answer is -57 because if it is below sea level it is a negative but if it is above sea level it will be a positive

-57


explanations: below means negative.

take a square of arbitary measure assuming its area is one square unit.divide it in to four equal parts and shade one of them.again take one shaded part of that square and shade one fourth of it.repeat the same process continuously and find the sum area of shaded region​

Answers

Answer:

In recreational mathematics, a square array of numbers, usually positive integers, is called a magic square if the sums of the numbers in each row, each column, and both main diagonals are the same.[1][2] The order of the magic square is the number of integers along one side (n), and the constant sum is called the magic constant. If the array includes just the positive integers {\displaystyle 1,2,...,n^{2}}{\displaystyle 1,2,...,n^{2}}, the magic square is said to be normal. Some authors take magic square to mean normal magic square.[3]

The smallest (and unique up to rotation and reflection) non-trivial case of a magic square, order 3

Magic squares that include repeated entries do not fall under this definition and are referred to as trivial. Some well-known examples, including the Sagrada Família magic square and the Parker square are trivial in this sense. When all the rows and columns but not both diagonals sum to the magic constant we have semimagic squares (sometimes called orthomagic squares).

The mathematical study of magic squares typically deals with its construction, classification, and enumeration. Although completely general methods for producing all the magic squares of all orders do not exist, historically three general techniques have been discovered: by bordering method, by making composite magic squares, and by adding two preliminary squares. There are also more specific strategies like the continuous enumeration method that reproduces specific patterns. Magic squares are generally classified according to their order n as: odd if n is odd, evenly even (also referred to as "doubly even") if n is a multiple of 4, oddly even (also known as "singly even") if n is any other even number. This classification is based on different techniques required to construct odd, evenly even, and oddly even squares. Beside this, depending on further properties, magic squares are also classified as associative magic squares, pandiagonal magic squares, most-perfect magic squares, and so on. More challengingly, attempts have also been made to classify all the magic squares of a given order as transformations of a smaller set of squares. Except for n ≤ 5, the enumeration of higher order magic squares is still an open challenge. The enumeration of most-perfect magic squares of any order was only accomplished in the late 20th century.

Magic squares have a long history, dating back to at least 190 BCE in China. At various times they have acquired occult or mythical significance, and have appeared as symbols in works of art. In modern times they have been generalized a number of ways, including using extra or different constraints, multiplying instead of adding cells, using alternate shapes or more than two dimensions, and replacing numbers with shapes and addition with geometric operations.

The sum area of shaded region​ is [tex]\frac{1}{3}[/tex].

Summation formula for geometric progression

The formula to find the sum of infinite geometric progression is

[tex]S_{n}=\frac{a_{1}(1-q^{n}) }{1-q} \ \ q \ne 1[/tex]

Given

S = [tex]\frac{1}{4} +\frac{1}{16} +\frac{1}{64} +.........[/tex]

Using geometric progression

S = [tex]\lim_{h \to \infty} [\frac{1}{4} +(\frac{1}{4} )^{2} +(\frac{1}{4} )^{3} +.........+(\frac{1}{4} )^{n}][/tex]

Using summation formula for geometric progression

[tex]S_{n}=\frac{a_{1}(1-q^{n}) }{1-q} \ \ q \ne 1[/tex]

= [tex]\lim_{h \to \infty} \frac{\frac{1}{4} (1-(\frac{1}{4} )^{n} }{1-\frac{1}{4} }[/tex]

= [tex]\lim_{h \to \infty} \frac{\frac{1}{4} (1-\frac{1}{4^{n} }) }{\frac{3}{4} }[/tex]

= [tex]\lim_{h\to \infty} \frac{1}{3}(1-\frac{1}{4^{n} } )[/tex]

[tex]\lim_{h\to \infty} \frac{1}{4^{n} }[/tex] = 0

S  = [tex]\frac{1}{3}(1-0) = \frac{1}{3}[/tex]

The sum area of shaded region​ is [tex]\frac{1}{3}[/tex].

Find out more information about summation formula for geometric progression here

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f(x) = 2x + 7 with domain: x = {2, 3, 5, 9}

Answers

Answer:

2(2)+7=11

2(3)+7=13

2(4)+7=15

2(5)+7=17

2(9)+7=25

Step-by-step explanation:

2(2)+7

4+7=11

2(3)+7

6+7=13

2(4)+7

8+7=15

2(5)+7

10+7=17

2(9)+7

18+7=25

can someone pls help w finding the x and y intercepts of this?

y=x^2-2x

Answers

Answer:

y-intercept is 0, x-intercept is 0 and 1

Step-by-step explanation:

For y-intercept, x=0 :

[tex]{ \tt{y = {(0)}^{2} - 2(0) }} \\ { \tt{y = 0}}[/tex]

For x-intercept, y=0 :

[tex]{ \tt{0 = {2x}^{2} - 2x }} \\ { \tt{2x(x - 1) = 0}} \\ { \tt{x = 0 \: \: and \: \: 1}}[/tex]

Find the length of each side and the
perimeter.
(5n -17) cm
(2n + 1) cm
n cm

Answers

7n-16

Step-by-step explanation:

Sry can u give me the picture

Statement: If two noncollinear rays join at a common endpoint, then an angle is created. Which geometry term does the statement represent?
A. Defined term
B. Postulate
C. Theorem
D. Undefined term

Answers

The statement if two noncollinear rays join at a common endpoint, then an angle is created is a DEFINED TERM.

A defined term is a sentence or expression used to define a concept, statement or confusing words.  

From the question shown,  we can see that a statement was created which is defined  as "If two noncollinear rays join at a common endpoint, then an angle is created". This can be said to be a defined term since there are presence of keywords that made the statement meaningful and easily understandable.

Hence we can conclude that the statement is neither postulate, theorem nor an undefined term rather we can say it is a DEFINED term.

Learn more about definition here: https://brainly.com/question/9823471

The person above is correct defined term :)

in a 41-49 right triangle, the hypotenuse is 28.83 centimeters. if cos 41= 0.7547, find the length of the side opposite the 49 angle. Estimate your answer to three decimal places

Answers

Answer:

21.758

Step-by-step explanation:

If you draw the triangle out, you find that cos 41 = x/28.83, when x is equal to the side opposite the 49 angle

Simplify this into 28.83 cos 41, and plug it into the calculator and you get

21.75827.

PLEASE HELPPPPPPPP!!!!!!!!

Answers

Answer:

True

Step-by-step explanation:

tan B = sin B / cos B = 3/4 Let sin B =3 and cos B = 4

Cot B = cos B / sin B = 4/3

This is true

PLEASE HELP!!! geometry!

Answers

Answer:

A' (-3,12)

B' (9,6)

C' (-6,-6)

Answered by GAUTHMATH

What is the measure of m?
5
15
E
n
m = [?]

Answers

Answer:  10

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

Explanation:

The two smaller triangles are proportional, which lets us set up this equation

5/n = n/15

Cross multiplying leads to

5*15 = n*n

n^2 = 75

----------

Apply the pythagorean theorem on the smaller triangle on top, or on the right.

a^2+b^2 = c^2

5^2+n^2 = m^2

25+75 = m^2

100 = m^2

m^2 = 100

m = sqrt(100)

m = 10

The amount of money lana earns for tutoring is proportional to the time she spends tutoring. She earns $24 for tutoring 1 1/2 hours. what is the constant of proportionality for the relationship between dollars earned and number of hours?

Answers

Answer:

y=16x

Step-by-step explanation:

24=1 1/2x=3/2x

x=24*(2/3)=16

y= total money earned; x=number of hours worked

The equations of four lines are given. Identify which lines are perpendicular.

Line 1: y=2
Line 2: y=15x−3
Line 3: x=−4
Line 4: y+1=−5(x+2)

Answers

Answer:

lines 1 and 3

Step-by-step explanation:

y = 2 is a horizontal line parallel to the x- axis

x = - 4 is a vertical line parallel to the y- axis

Then these 2 lines are perpendicular to each other

y = 15x - 3 ( in the form y = mx + c ) with m = 15

y + 1 = - 5(x + 2) ( in the form y - b = m(x - a) with m = - 5

For the lines to be perpendicular the product of their slopes = - 1

However

15 × - 5 = - 75 ≠ - 1

The 2 lines 1 and 3 are perpendicular

Question Number 19 of 40 - Algebra II Boyle's Law states that, for a fixed amount of gas, the volume of the gas at a constant temperature is inversely proportional to the pressure. If a certain gas occupies 9.84 liters at a pressure of 50 centimeters of mercury (cm Hg), what is the approximate pressure when the volume is increased to 12 liters

Answers

Answer:

41 cm Hg

Step-by-step explanation:

Marla noticed that her friend Ron had three times as many pieces of candy as she did. She told him, "If you give me seven pieces of your candy, we'll have exactly the same number of pieces." Ron responded, "I didn't know that until you mentioned it. But I'll make you a deal: If you can show me how to solve this puzzle using algebra, I'll give you the seven pieces. "One minute later, Ron was shocked to see that Marla had solved it perfectly. Can you do the same?

Answers

Answer:

This question seems to be asking for the work, so I put it below.

Anyhow, Marla had 3.5 candies, and Ron had 10.5.

Step-by-step explanation:

x = 3x - 7  (lets set this as "a")   { a = 3x - 7}

x + 7 = 3x -7 + 7

x + 7 = 3x

( x + 7 ) / 3 = 3/3x

( x + 7 ) / 3 = x     =    *(same as "a") {a}

( x + 7 ) / 3 = 3x - 7

( x + 7 ) / 3 * 3 = ( 3x - 7 ) * 3

x + 7 = 9x - 21

x - x + 7 = 9x - x - 21

7 = 8x - 21

7 + 21 = 8x - 21 + 21

28 = 8x

28 / 8 = 8/8x

3.5 = x

We can plug this back into the original equation and find that it is correct because:

x = 3x - 7

x = 3.5  =====

3.5 = 3( 3.5 ) - 7

3.5 = 10.5 - 7

3.5 = 3.5

Answer:

Marla has 7 and Ron has 21

Step-by-step explanation:

lets take

no. of candies Marla has as "x"

and no. of  candies Ron has will be "3x"

Marla says if Ron gives her seven candies, they will have the same no. of candies

so your equation will be -

x + 7 = 3x - 7 (as Marla gets the candy, Ron loses the candy)

3x - x = 7 + 7

2x = 14

∴x = 7

and 3x = 3 x 7 = 21

YOUR WELCOME

lvan earned $8 each time he walks his neighbor's dog. he already walked the dog 5 times.
How many more times does her need to walk the dog to earn enough money to buy a game that costs $88
__? more times

Answers

Answer: 6 more times


Explanation:
Start by finding out that 8x5=40 since he already walked the dog 5x for 8$each

Then you subtract that 40 from 88 and end up with 48

Then you divide that 48 by 8 since that’s the amount of money he makes per walk and end up with

6 walks

Plsss help will mark brainliest

Answers

394 is the answer ...

Answer:

394

Step-by-step explanation:

11^2+8*11*3+3^2

121+8*11*3+9

121+264+9

385+9

394

evaluate the expression. check all possible sets that the solution may belong in. 40-5^2

Answers

Answer:

15

Step-by-step explanation:

following PEMDAS, we don't have () so we move on to exponents

5^2 is equal to 5 x 5 which is 25

40-25=15

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{40 - 5}\mathsf{^2}\\\\\\\large\textsf{5}\mathsf{^2}\\\large\textsf{= 5}\times\large\textsf{5}\\\large\textsf{= \bf 25}\\\\\\\large\textsf{= 40 - 25}\\\\\\\large\textsf{= \bf 15}\\\\\\\\\\\\\boxed{\boxed{\huge\textsf{Therefore your answer is: \bf 15}}}\huge\checkmark[/tex]

[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\textsf{Amphitrite1040:)}[/tex]

what is the measure of angle k?

Answers

answer is C, 180-58=122°

Answer:

Hence the answer is Letter B.

Step-by-step explanation:

° ° °

find the radius of a circle for which an arc 6 cm long subtends an angle of 1/3 radians at the center?
plz some one can help to solve the question??​

Answers

Step-by-step explanation:

Eueydhhdgdgdbdbddbdbhd

Answer:

Hello,

[tex]R=\dfrac{18}{\pi}\ (cm)[/tex]

Step-by-step explanation:

[tex]Formula: \ L=\theta*R\\[/tex]

[tex]R=\dfrac{6}{\dfrac{\pi}{3} } =\dfrac{6*3}{\pi} =\dfrac{18}{\pi}\ (cm)[/tex]

(84)/(12)+(5-7)^(2)-72-6x2

Answers

Answer:

[tex]-73[/tex]

Step-by-step explanation:

Note: My explanation is based of the order-of-operations

First, using the order-of-operations, we evaluate the expressions in parentheses. Fully simplifying [tex](5-7)^2[/tex] gives us: [tex](5-7)^2 = -2^2 = 4[/tex].

Next, we do [tex]6\cdot2[/tex] giving us [tex]12[/tex]. So far, our expression is simplified to [tex]\frac{84}{12} + 4 - 72 - 12[/tex].

We also know that [tex]\frac{84}{12}[/tex] is just [tex]7[/tex] so we can replace that value in the expression leaving us with: [tex]7+4-72-12[/tex]. Now, we can solve it in simple steps!

1)  [tex]7+4=11[/tex]

3) [tex]11-72=-61[/tex]

4) [tex]-61-12=-73[/tex]

Our answer is [tex]-73[/tex]

Hopefully this helped you out! Please (please) tell me if their is a mistake in the solution and I will correct it as fast as possible for me.

Find the surface area of a cylinder with a base diameter of 6yd and a height of 8yd.
Write your answer in terms of pi, and be sure to include the correct unit.

Answers

Answer:

207.35yd²

Step-by-step explanation:

what value of x is in the solution set of -5-15>10+20x

Answers

Answer:

-3/2 >x

Step-by-step explanation:

-5-15>10+20x

Combine like terms

-20 > 10 +20x

Subtract 20 from each side

-20 -10 > 10+20x-10

-30> 20x

Divide by 20

-30/20 >20x/20

-3/2 >x

Answer:

-3/2 > x

Step-by-step explanation:

-5 - 15 > 10 + 20x

 ^    ^

  -20

-20 > 10 + 20x

-10    -10

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

-30 > 20x

-----   -------

20     20

-3/2 > x

Hope this helped.

highest common factor of 9 and 29 ​

Answers

Answer:

1

Step-by-step explanation:

See pic for steps :)

The highest common factor of 9 and 29 is: 1

Please help I if you can thank you do much

Answers

Answer:

A. (Pay as you go) $120 B. (Regular deal) $90 C. (All-in-one price!) $100 D. The "Regular deal" option would be the least expensive for Carl.

Step-by-step explanation:

If Carl does the "Pay as you go" option he would be charged $6 each time. If he works out 20 times a month, we can multiply 20 by 6 to get a total of $120 for that option.

If Carl does the "Regular deal" option he would be charged $50 + an additional $2 for each time he works out. From there, we can get the equation 2x + 50 where x is the amount of time he works out. If we plug in 20 for x (as he works out 20 times a month), we get 2(20) + 50 which equals a total of $90 for that option.

If Carl does the "All-in-one Price!" option he would be charged $100 for the whole month meaning he has unlimited use of the gym with no extra charge besides the $100.

The cheapest option is the "Regular deal" option as it charges $90 compared to the $100 for the "All-in-one Price!" option & the $120 for the "Pay as you go" option.

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The process of chewing, smashing, and grinding food in the mouth is calledperistalsis mechanical digestionabsorption chemical digestion (-4x+6)+(x-5) please answer Ill be happy :) CLASS ENVIRONMENTAL SCIENCE The____domain incorporates cultural norms that directly impact sustainable development. The___ domain focuses on the protection and preservation of natural and artificial resources Blank 1: ......................Blank 2:A: social..................... A: public policyB: economic..............B: technologicalC: sustainable..........C: environmental what is the value of -2xy when =2 and y=4? People with expertise tend to have more influence using ___, whereas those with a strong legitimate power base are usually more successful applying ___.A. upward appeal; persuasionB. silent authority; coalition formationC. persuasion; silent authorityD. silent authority; assertivenessE. information control; persuasion The arms race was the result of:the U.S. using nuclear weapons to end World War IInuclear war in Israel.the Soviets detonating an atomic bomb.o Germany rebuilding its military following World War II. Which of the following is NOTtrue of the female gametedevelopment?A. The central cell divides into fourhaploid cells.B. There are multiple ovules in an ovary.C. The flower is what draws in pollinators.D. There is more than one egg cell in eachovule. How many mm of 0.200 M FeCl3 are needed to react with an excess of K2S to produce 2.75 g of Fe2S3 if the percent yield for the reaction is 65.0%? Cite the quotation that best supports Buck observation that the other dogs actually enjoy the harness give reason The concept of the sustainable development is the mile stone of the development of the country. what is dictions definition? Objects normally have __________ that perform useful operations on their data, but primitive variables do not. The table shows values for Variable A and Variable B.Use the data from the table to create a scatter plot.(TABLE IS IN PICTURE ATTACHED BELOW) What is an effect of industrialization on women's lives? A calorimeter measures the ______ involved in reactions or other processes by measuring the ______ of the materials _____ in the process. The calorimeter is _______ to prevent transfer of heat to outside the device. help me with this please pleaseee! Mini-Case Nolan and Sadie have just opened a new restaurant on the edge of town, Cajun Kitchen. They own the land and building and have a brand-new kitchen as well as a lovely seating area, filled with mementos from the South. They have a liquor license and make wonderful Southern drinks. They are quite pleased that members of the community are helping their business grow by coming in for a meal or a drink after work. They are good businesspeople who pay their bills on time and as a result have great relationships with the vendors that supply them food. -Cajun Kitchen sits on a large landscaped lot. Nolan and Sadie have a contract with Green Goddess Lawn Service to mow the lawn and take care of the landscape. They pay $200 per month for this service. After two weeks had gone by with no service, Nolan called the company only to find out that the owner and the crew had decided to take a vacation and would not be back to do the landscaping for another two weeks. Green Goddess A) has discharged its obligation to Nolan and Sadie. B) is liable for specific performance. C) will likely have to pay Nolan and Sadie damages if they decide to sue them. D) will not likely have to pay Nolan and Sadie damages if they decide to sue them. The thermal energy in a hot iron flows into a shirt. What can possibly be said about this situation? The iron IS warmer than the shirt. The iron has lessenergy than the shirt.O The iron is 92C and the shirt IS 96C.O The iron has less heat than the shirt. Factitious disorder is different from somatic symptom disorder in that: Group of answer choices people with factitious disorder falsely report symptoms that they do not have in order to get attention from others. somatic symptom disorders are more dramatic than factitious disorders. people with factitious disorder report bodily preoccupation while those with somatic symptom disorder report symptom amplifications. people with somatic symptom disorder pretend to have symptoms and intentionally induce physical symptoms for any type of gain. ill give brainliest to right answer please hurry