x² = 30² +21² -2(30)(21) Cos 123°

Answers

Answer 1

Answer:

x ≈ 44.69

Step-by-step explanation:

x² = 30² +21² -2(30)(21)Cos123°

x² = 900 + 411 - 1260cos123°

x² = 1311 - 1260cos123²

~Take square root of both sides

x = √1997.245184111

x ≈ 44.69

Best of Luck!


Related Questions

1/5 k = 20 solvve for k

Answers

Answer:

k=100

Step-by-step explanation:

20x5=100

Answer:

k=100

Step-by-step explanation:

Solve for  k  by simplifying both sides of the equation, then isolating the variable.

Choose Yes or No to tell whether the fraction and percent are equivalent. 401,000and 40% Choose... 65 and 120% Choose... 5033 and 117% Choose... 18 and 12.5% Choose...

Answers

Answer: 1 = No

Step-by-step explanation:

Find the value of f(4) for the function.
f(x) = - 4(x + 3)

Answers

Answer:

-28

Step-by-step explanation:

f(4) is another notation for x = 4

so we just plug-in 4 for x

f(4) = -4((4)+3)

f(4) = -4(7)

f(4) = -28

The value of f(4) for the function is -28

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given a function as f(x) = - 4(x + 3)

f(4) is another notation for x = 4

Therefore we just plug-in 4 for x

f(x) = - 4(x + 3)

f(4) = -4((4)+3)

f(4) = -4(7)

f(4) = -28

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15. Write the slope-intercept form of the line described in the following:
Parallel to 3x + y=5
and passing through (2, 3)

Answers

Answer:

Step-by-step explanation:

We know that parallel line must have the same slope

First we change the given equation to slope intercept form      y =mx +b

From 3x+y=5 ( we need to find the new y intercept using the given x and y values of (2,3)

find for y by subtracting 3x from both sides of the equation

3x +y = 5 -3x

-3x

we get :  y = -3x +5

Use the x and y values given (2,3) and substitute in the equation above

to find find for b (remember we need a new y intercept..b)

y = -3x + b

3 = -3(2) + b

3 = -6 + b

b = 6 = 3

b = 9

The new equation that's parallel to the given equation would be

y = -3x + 9

Anyone else have to watch two videos on brainly to just get one answer??

Answers

answer:

no i only get a 30 second vid and then get the answer

WHAT DOES THAT MEAN....

Which is the most appropriate rate with which to calculate an answer to his question?

Answers

I believe the answer is B, workers per lawn!

–9w + 7 = –3 − 10w
is it a identity

Answers

Answer: w= -10

Step-by-step explanation:

1. add 3 with positive 7 to make 10. The equation is now -9w+10= -10w

2. add 9 with -10 to make -1w the is now 10= -1w

3. divide 10/-1 to make -1

and that’s how w= -10

no it’s not identity

-2x - 6xy - 3y +7x.....need help bc tomorrow have a test.​

Answers

Step-by-step explanation:

-2x - 6xy - 3y + 7x      combine like terms

= (-2x + 7x) - 6xy - 3y

= 5x - 6xy - 3y

Hey there! We will Combine Like Terns for this one.

= −2x + −6xy + −3y + 7x

= (−6xy) + (−2x + 7x) + (−3y)

=−6xy + 5x + −3y

Express as a trinomial. (3x – 10) (3x - 1)​

Answers

Answer:

9x² - 33x + 10

Step-by-step explanation:

Given

(3x - 10)(3x - 1)

Each term in the second factor is multiplied by each term in the first factor, that is

3x(3x - 1) - 10(3x - 1) ← distribute both parenthesis

= 9x² - 3x - 30x + 10 ← collect like terms

= 9x² - 33x + 10

ANY MATH EXPERTS PLS HELP RN I GOT 30 MIN LEFT I'll MARK BRAINLIEST TO WHO ANSWER'S FIRST
(If you know the answer but you can't answer it put the answer in the comments pls asap)

Answers

Answer:

I'm sorry for taking an answer but what's  the question? If you tell me the question in the comments I'd be happy to answer : )

simplify by dividing [ -3/-8] divided by 5/9 (5 points)
A. -15/-72
B. 15/72
C. -27/-40
D. 27/40

Answers

Answer: D

Step-by-step explanation:

(3/8) / (5/9) is the same as multiplying (3/8) by (9/5) which is 27/40. I'm not sure if there's an error between C and D because those are both the same answer since dividing a negative number by a negative number gives you a positive number.

I think C was supposed to be -27/40 so D is the correct answer since it's positive.

Solve the system by Substitution

4x+4y=−4


y=−7x−7



(-1, 0)

(0, 2)

(0, -4)

(0, -1)

Answers

Answer:

(-1,0)

Step-by-step explanation:

I used a graphing calculator and that is the solution

This is solving multiple step equations

Answers

Answer:

x=-11/3

Step-by-step explanation:

expand the brackets: 4x+12= 1

this is now a normal equation

solve the equation

-12 from both sides

4x=-11

divide by 4 both sides

x= -11/4

this is because 11 cannot be divided by 4 exactly so we put it in fraction form .

HELP PLEASE QUICKLY!! Please

Answers

Answer:

x=9

Step-by-step explanation:

First you have to identify the black line at the bottom so it means it's 180 degrees. No notice the red box it means it's 90 degrees. We can conclude from this that the other side of the red box should also equal 90 degrees. So to find x you have to set up this equation: 6x+4+32=90. Then you solve for x which ends up being 9.

If you liked my answer then please make it the brainliest it would be much appreciated. Thanks!

Answer:

The x would be 9

Step-by-step explanation:

9 times 6 equals 54 plus 4 equals 58

the square is 90 degrees and 90 plus 58 plus 32 equals 180 degrees which is the right amount of a flat line

The sum of two numbers is 64 and the difference is 8. What are the numbers?

Answers

Answer:

The answer is 36 and 28

Step-by-step explanation:

Trust me its correct

pls mark me as brainliest

The addition is one of the four fundamental mathematical operations. The two of the given numbers are 36 and 28.

What is Addition?

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.

Let the sum of two numbers be represented by a and b.

Given that the sum of the two numbers is 64. Therefore, we can write,

a + b = 64

Also, it is given that the difference between the two numbers is 8, therefore, we can write,

a - b = 8

Adding the two of the equation formed together, then,

a + b + a - b = 64 + 8

2a = 72

a = 72/2

a = 36

Substitute the value of a in any one of the two equations,

a + b = 64

36 + b= 64

b = 64 - 36

b = 28

Hence, the two of the given numbers are 36 and 28.

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4.There are 8 elephants in the zoo. Each elephant eats about 2.16 × 105 pounds of vegetation per year. The zookeeper asked Abdulla and Maryam to determine how many pounds of vegetation are required to feed all of the elephants. They wrote their solutions in scientific notation.

Answers

Answer:

1.728 × 106 pounds of vegetation

Step-by-step explanation:

From the question, each elephant eats 2.16 × 105 pounds of vegetation per year.

Since there are eight elephants, it will cost a total of 8× 2.16 × 105 pounds of vegetation per year = 1.728 × 106 pounds of vegetation

HURRY HELP
Tammy sold a diamond ring for $10,000. She placed the money into a CD with a 3.9% interest rate compounded
annually. What is the interest earned on the amount after 4 years?
a.)$1653.66
b.)$1984.87
c.)$1492.04
d.)$1119.99

Answers

Answer: Choice (a)  $1,653.66

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

Work Shown:

Use the compound interest formula

A = P*(1+r/n)^(n*t)

A = 10000(1+0.039/1)^(1*4)

A = 11,653.65589441

A = 11,653.66

That's the amount of money Tammy will have at the end of 4 years.

Subtract off the principal from this value to get the interest.

interest = A - P

interest = 11,653.66 - 10,000

interest = 1,653.66

Christian is rewriting an expression of the form y = ax2 + bx + c in the form y = a(x – h)2 + k. Which of the following must be true?

Answers

Answer:

The Value Remains the Same

Step-by-step explanation:

Trust

The value of a remains unchanged. Therefore, option C is the correct answer.

Given that, Christian is rewriting an expression of the form y = ax² + bx + c in the form y = a(x – h)² + k.

We need to find from the option which is true for the given statement.

What is a vertex form?

The Vertex formula of a parabola is used to find the coordinates of the point where the parabola crosses its axis of symmetry. The vertex is the point (h,k). As we know the standard equation of a parabola is y = ax²+bx+c. The vertex form of the parabola y = a(x - h)²+ k. There are two ways in which we can determine the vertex (h, k).

Now,

The original expression is given as y = ax²+bx+c and Christian rewritten as y = a(x - h)²+ k.

Simplify the equation y = a(x - h)²+ k, that is y = a(x²-2xh+h²)+k.

⇒y=ax²-2axh+ah²+k

Compare the equation y=ax²-2axh+ah²+k with y = ax²+bx+c.

That is ax²=ax²

bx=-2xh and c=ah²+k

Analyzing the above equations ax²=ax²

Now, divide both sides by x², and we get a=a.

So, the value of a remains unchanged.

Therefore, option C is the correct answer.

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Christian is rewriting an expression of the form y = ax² + bx + c in the form y = a(x – h)² + k. Which of the following must be true?

h and k cannot both equal zero

k and c have the same value

the value of a remains the same

h is equal to one half –b

Find the value of 5 (3)

Answers

Answer:

15

Step-by-step explanation:

You take 5 times 3.

WILL GIVE EXTRA POINTS
Assignment name: solving angles pairs​

Answers

Answer:

33

Step-by-step explanation:

Answer:

The angle that says it is 120 degrees looks wrong. That is an acute angle

Step-by-step explanation:

2 X + 3 Y=_ 4
_ 5 x + 4 Y + 13 =0 ​

Answers

X = -10

Y = 8

2 X + 3 Y = 4 ---- (i)

5 X + 4 Y + 13 = 0 ---- (ii)

rearranging eqn (ii), we have

5X + 4Y = -13 ----- (ii)

multiply eqn (i) by 5 and eqn (ii) by 2

10X + 15Y = 20 ---- (iii)

10X + 8Y = -26 ---- (iv)

subtracting eqn (iv) from (iii), we have

10X - 10X + 15Y - 8Y = 20 - (-26)

0 + 7Y = 20 + 26

7Y = 56

Y = 56/7

Y = 8

Substituting Y into eqn (i), we have

2X + 3Y = 4

2X + 3(8) = 4

2X + 24 = 4

2X = 4 - 24

2X = -20

X = -20/2

X = -10

A parking lot contains 21 sedans. Sedans are found at a ratio of 7:5 to SUVs in the parking lot. How many SUVs are likely to be found in the parking lot?

Answers

Answer:

hey are both divisible by 3

7 x 3 = 21

5 x 3 = 15

they are both divisible by 3

Step-by-step explanation:

hope this helps!

1 point
17. A triangle has vertices at A (-3,-1), B (-6, -5),
C(-1,-4).
Which transformations would produce an image with
vertices A' (3,-1), B' (6,-5), C' (1, -4)?
A. A reflection over the x - axis
B. A reflection over the y- axis
C. A rotation 90° clockwise
D. A rotation 90° counterclockwise
Ο Α

Answers

Reflection over the y-axis

The rule for the transformations would produce an image will be;

''A reflection over the y- axis''

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

A triangle has vertices at A (-3,-1), B (-6, -5), C(-1,-4) transformations would produce an image with vertices A' (3,-1), B' (6,-5), C' (1, -4)

Now,

We know that;

The rule for the transformation over y - axis will be;

⇒ (x, y) → (- x, y)

So, We get;

The rule for the transformations would produce an image is,

''A reflection over the y- axis''

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Twice a number, increased by the sum of the same number and five.

Answers

Answer:

2x+(x+5)

not 100% sure but this is what i got

Step-by-step explanation:

find the distance bdtween point A to AZ. round your answer to the nearest tenth. big ideas math​

Answers

Answer:

wheres A though? Try to provide a picture or something.

So i need help T-T

According to all known laws of aviation, there is no way a bee should be able to fly. Its wings are too small to get its fat little body off the ground. The bee, of course, flies anyway because bees don't care what humans think is impossible. Yellow, black. Yellow, black. Yellow, black. Yellow, black. Ooh, black and yellow! Let's shake it up a little. Barry! Breakfast is ready! Ooming! Hang on a second. Hello? - Barry? - Adam? - Oan you believe this is happening? - I can't. I'll pick you up. Looking sharp. Use the stairs. Your father paid good money for those. Sorry. I'm excited. Here's the graduate. We're very proud of you, son. A perfect report card, all B's. Very proud. Ma! I got a thing going here. - You got lint on your fuzz. - Ow! That's me! - Wave to us! We'll be in row 118,000. - Bye! Barry, I told you, stop flying in the house! - Hey, Adam. - Hey, Barry. - Is that fuzz gel? - A little. Special day, graduation. Never thought I'd make it. Three days grade school, three days high school. Those were awkward. Three days college. I'm glad I took a day and hitchhiked around the hive. You did come back different. - Hi, Barry. - Artie, growing a mustache? Looks good. - Hear about Frankie? - Yeah. - You going to the funeral? - No, I'm not going. Everybody knows, sting someone, you die. Don't waste it on a squirrel. Such a hothead. I guess he could have just gotten out of the way. I love this incorporating an amusement park into our day. That's why we don't need vacations. Boy, quite a bit of pomp... under the circumstances. - Well, Adam, today we are men. - We are! - Bee-men. - Amen! Hallelujah! Students, faculty, distinguished bees, please welcome Dean Buzzwell. Welcome, New Hive Oity graduating class of... ...9:15. That concludes our ceremonies. And begins your career at Honex Industries! Will we pick ourjob today? I heard it's just orientation. Heads up! Here we go. Keep your hands and antennas inside the tram at all times. - Wonder what it'll be like? - A little scary. Welcome to Honex, a division of Honesco and a part of the Hexagon Group. This is it! Wow. Wow. We know that you, as a bee, have worked your whole life to get to the point where you can work for your whole life. Honey begins when our valiant Pollen Jocks bring the nectar to the hive. Our top-secret formula is automatically color-corrected, scent-adjusted and bubble-contoured into this soothing sweet syrup with its distinctive golden glow you know as... Honey! - That girl was hot. - She's my cousin! - She is? - Yes, we're all cousins. - Right. You're right. - At Honex, we constantly strive to improve every aspect of bee existence. These bees are stress-testing a new helmet technology. - What do you think he makes? - Not enough. Here we have our latest advancement, the Krelman. - What does that do? - Oatches that little strand of honey that hangs after you pour it. Saves us millions. Oan anyone work on the Krelman? Of course. Most bee jobs are small ones. But bees know that every small job, if it's done well, means a lot. But choose carefully because you'll stay in the job you pick for the rest of your life. The same job the rest of your life? I didn't know that. What's the difference? You'll be happy to know that bees, as a species, haven't had one day off in 27 million years. So you'll just work us to death? We'll sure try. Wow! That blew my mind! "What's the difference?" How can you say that? One job forever? That's an insane choice to have to make. I'm relieved. Now we only have to make one decision in life. But, Adam, how could they never have told us that? Why would you question anything? We're bees. We're the most perfectly functioning society on Earth. You ever think maybe things work a little too well here? Like what? Give me one example. I don't know. But you know what I'm talking about. Please clear the gate. Royal Nectar Force on approach. Wait a second. Oheck it out. - Hey, those are Pollen Jocks! - Wow. I've never seen them this close. They know what it's like outside the hive. Yeah, but some don't come back. - Hey, Jocks! - Hi, Jocks! You guys did great! You're monsters! You're sky freaks! I love it! I love it! - I wonder where they were. - I don't know. Their day's not planned. Outside the hive, flying who knows where, doing who knows what. You can'tjust decide to be a Pollen Jock. You have to be bred for that. Right. Look. That's more pollen than you and I will see in a lifetime. It's just a status symbol. Bees make too much of it. Perhaps. Unless you're wearing it and the ladies see you wearing it. Those ladies? Aren't they our cousins too? Distant. Distant. Look a

Answers

Answer:

I read like the first two sentences lol.

Step-by-step explanation:

Well, scientifically speaking, the bees flap their wings at a very high and fast speed, making it able to carry itself. The wings are proportionally stable on the bee and are a specific size and positioning that allows it to fly.

#teamtrees #WAP (Water and Plant)

Which equation would you use to solve the following situation?

There are 6 cookies in the cookie jar. Sean bakes some more and now there are 15 cookies in the jar. How many cookies did Sean bake?

6 + x = 15
x - 6 = 15
15 + 6 = x
6 - x = 15

Answers

Answer:6+9

Step-by-step explanation:

because 5=10 is 15 and to get the same answer on any other questions like this is Example: 4+4 take 1 off of a digit and put that one on the other digit yw for the help

Answer:

15 + 6 = x

Step-by-step explanation:

A shipping company claims that 90% of its packages are delivered on time. Jenny noticed that out of the last 10 packages shipped, 2 were late. What is the probability that 2 out of 10 randomly selected shipments would be late?

Answers

Answer:

The probability is;

0.0000003645

Step-by-step explanation:

The probability of packages being early p is 90% = 0.9

The probability of packages being late q will be 1-p = 1-0.9 = 0.1

So the probability of 2 out of 10 random late will be subject to Bernoulli approximation of the Binomial theorem

That will be;

P(X = 2) = 10 C 2 0.9^2 0.1^8

= 0.0000003645

Answer:

0.19

Step-by-step explanation:

took the quiz

El administrador de una cafetería sabe que vende diariamente 50 litros de jugo mixto. Para elaborar este jugo se emplean dos preparados: uno de jugo de naranja, que contiene un 5% de jugo natural y otro preparado de jugo de toronja, que contiene 25% de jugo natural. Si se desea que el jugo mixto contenga un 10% de jugo natural, ¿Cuántos litros de cada preparado se deben emplear?

Answers

Answer:

El administrador debe usar 37.5 litros de jugo al 5% y 12.5 litros de jugo al 25%.

Step-by-step explanation:

Sistemas de Ecuaciones

Llamamos:

x = litros de jugo al 5% natural

y = litros de jugo al 25% natural

El administrador de la cafetería desea hacer 50 litros de jugo, luego:

x + y = 50                   [1]

Esos 50 litros de jugo deben tener 10% de jugo natural. Como cada parte de x aporta 5% y cada parte de y aporta 25%:

5x + 25y = 10*50 = 500

Dividimos entre 5:

x + 5y = 100             [2]

Restamos [2] menos [1]:

4y = 50

y = 50/4 = 12.5

De [1] tenemos que:

x = 50 - y = 50 - 12.5 = 37.5

El administrador debe usar 37.5 litros de jugo al 5% y 12.5 litros de jugo al 25%.

I need to know the measurement of the fourth angle

Answers

Answer:

108° Make me Brainliest pls

Answer:

108 degrees

Step-by-step explanation:

All 4 angles of a quadrilateral added together is always equal to 360 degrees.

252 is the sum of 3 angles

therefore, in order to find the fourth measurment, we subtract 360-252

=108

Hope this was helpful

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