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


Bidmass

Working out equations

Answers

Answer:

16

Step-by-step explanation:

5+15-8/4=

5+15-4=

16

Answer:

10/2+15-8/4= 18

Step-by-step explanation:

glad to help

3 more day till christmas

What is the third number in this sequence?

Answers

Step-by-step explanation:

x = the first number of the sequence

x + (x+1) + (x+2) + (x+3) + (x+4) + (x+5) = 519

6x + 1 + 2 + 3 + 4 + 5 = 519

6x = 504

x = 84

so, the third number is x+2 = 84 + 2 = 86

is (33,10), (35,8), and (36,10) a function

Answers

Answer: yes it’s a function because the x values aren’t repeating

What is the answer to the following question?

Answers

Answer:

  SAS similarity

Step-by-step explanation:

You have two side ratios and the angle between the sides with those ratios. The appropriate similarity theorem is SAS.

will give brainliest due in 20 min

Answers

Answer:

25 is the area of ABCD

Step-by-step explanation:

5×5 = 25

I need help on my homework.

Answers

Answer:

[tex] \frac{3}{4} > \frac{ - 2 + 2x}{4} \\ \\ (4 \times) \frac{3}{4} > \frac{ - 2 + 2x}{4} ( \times 4) \\ \\ 3 > - 2 + 2x \\ \\ 3 + 2 > - 2 + 2 + 2x \\ \\ 5 > 2x \\ \\ 5 \div 2 > 2x \div 2 \\ \\ \frac{5}{2} > x \\ \\ x < \frac{5}{2} [/tex]

I hope I helped you^_^

Write as the opposite of a square root. -3√5

Answers

Answer:

3x5² is the opposite of ur uestion

The value of -3√5 as the opposite of the square root is -75.

What is square root?

The factor of a number that, when multiplied by itself, yields the original number is known as the square root of the number. Special exponents include squares and square roots. Think about the number 9. When the number 3 is multiplied by itself, the result is 9.

Given:

-3√5

The opposite of the square root is the square, so,

-3√5 = -3 × 5²

-3√5 = - 3 × 25

-3√5 = - 75

To know more about square root:

https://brainly.com/question/9459418

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find the rate of change
input 1 2 3 4 5
output 11 13 15 17 19

Answers

Answer:

  2

Step-by-step explanation:

x-values in the table increase by 1, while y-values increase by 2. The rate of change is ...

  m = slope = rate of change = (change in y)/(change in x) = 2/1 = 2

The rate of change is 2.

Answer:2

Step-by-step explanation:

0.1/0.5=X/10 what is x

Answers

0.1/0.5 is the same as 1/5

1/5 = X/10

we times both sides by 10 to get x on its own

1/5 x 10 = 10/5 = 2 ( which equals X/10 x 10)

X/10 x 10 = X

2 = X

Mrs. Heath baked 56 cookies. She put an equal number of cookies into 7 bags. How many cookies did she put in each bag?

Answers

Answer:

8

Step-by-step explanation:

you have to divide 56 by 7 and you will get 8.

Answer:

8

Step-by-step explanation:

You're dividing the 56 cookies into 7 bags, so you write 56 ÷ 7 = 8

a storage tank is 60% filled with chemical solution. The storage tank holds 1,280 liters of chemical solution. How many liters of chemical solution are needed to fill the storage tank to the​ top?

Answers

Answer:

Step-by-step explanation:

write a proportion and cross multiply to solve for x

[tex]\frac{60}{100} = \frac{x}{1280}[/tex]

100x=76,800

x=768

60% full is 768 L. If the tank can hold 1,280 Liters, you need 512 more to fill it.

Alternatively...if the tank is 60% full, we need 40% more to fill it

[tex]\frac{40}{100} =\frac{x}{1280}[/tex]

100x=51,200

x=512 L

The length of a rectangular garden is 3 feet more than 2 times the width. The perimeter of the garden is 48 feet. Find the length and width of the garden .

Answers

Answer:

  length 17 feet

  width 7 feet

Step-by-step explanation:

Let w represent the width. Then the length is 2w+3, and the perimeter is ...

  P = 2(L +W)

  48 = 2((2w+3) +w) = 6w +6

  42 = 6w

  7 = w . . . . . . . . width

  (2w+3) = 17 . . . length

The length of the garden is 17 feet; its width is 7 feet.

Subtract:
(3x^3– 10x^2+ 13x) – (5x^3+ 4x² – 9x)
A. 8x^3 + 14x^2 - 22x
B. 8x^3 - 6x^2 + 4x
C. 2x^3 - 6x^2 - 4x
D. -2x^3 - 14x^2 + 22x

Answers

Answer:

D

Step-by-step explanation:

(3x³ - 10x² + 13x)  -  (5x³ + 4x² - 9x)

3x³ - 10x² + 13x  - 5x³ - 4x² + 9x  Change all terms after the subtraction sign to

                                                      the opposite sign (definition of Subtraction)

(3x³ - 5x³) + (-10x² - 4x²) + (13x + 9x)    Group like terms together

-2x³ - 14x² + 22x                                    

What is ten times as great as 450?

Answers

Answer: The answer is 4,500.

Explanation: 450 x 10 = 4,500.

Ten times as great as 450 is 4500.

We need to find what is ten times as great as 450.

What is multiplication?

When we multiply two numbers, the answer is called product. The number of objects in each group is called multiplicand, and the number of such equal groups is called the multiplier.

Multiplication step:

Multiply the multiplicand by each of the numbers of the multiplier, moving from right to left. The units of the product are written below the line.The tens place of each product is added to the next product.

Now, ten times as great as 450=10×450=4500

Therefore, ten times as great as 450 is 4500.

To learn more about multiplication visit:

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Schedule of Cash Payments
Shakti Power Inc. was organized on February 28. Projected selling and administrative expenses for each of the first three months of operations are as follows:
March
$68,000
April
77,000
May
88,000
Depreciation, insurance, and property taxes represent $5,000 of the estimated monthly expenses. The annual insurance premium was paid on February 28, and property taxes for the year will be paid in Online file. Open the spreadsheet, perform the required analysis, and input your answers in the question below.m

Answers

dAnswer:

fffff

Step-by-step explanation:ff m

candy is 5 years older than one-third Liam's age .if candy is 16,how old is Liam

Answers

Answer:

33

Step-by-step explanation:

16-5=11

11×3=33

so yeah

Answer:

18

Step-by-step explanation:

Alan has $400 in his checking account. He withdraws $50 each week. The amount remaining in his account, f(x), after x weeks is
represented by a function. What is the range of the function?

Answers

Answer:

  {0, 50, 100, 150, ..., 350, 400}

Step-by-step explanation:

The range of Alan's balance will be multiples of 50 that are between (and including) 0 and 400.

  {0, 50, 100, 150, ..., 350, 400}

_____

The expression for f(x) is ...

  f(x) = initial balance - (rate of withdrawal) × (time period)

  f(x) = 400 -50x

This is a continuous linear function defined for all x, and capable of producing f(x) values between -∞ and +∞. The range of this function is "all real numbers."

However, as applied to this problem, the domain of x is the set of integers from 0 to 8. The corresponding range is multiples of 50 from 0 to 8, that is, values 0, 50, ..., 350, 400.

Show that the equation y + 8 = 2(4x + 4) is linear and that it represents a proportional relationship between x and y.

Answers

Answer:

Step-by-step explanation:

I'm not sure but i think its
y + 8 = 8x + 8

A woman walks x km north, then (x+7) km east. She is now 13km from her starting point. Find x.​

Answers

So, 13 km - 7 km = 6km divide that by 2 which is 3 km. Now double check it fits the problem by inserting the x. 3 + 3 + 7 = 13. X= 3

2. Mark works as a consultant for a computer firm. His weekly income is $425. His
monthly expenses are $1,266. How much does he have left for variable expenses?
(Hint: There are four pay periods in one month.)

Answers

Hi there, I hope you understand my answer and that it is correct :)

So, First we multiply $425 by 4 because there are approximately 4 weeks in every month, so as shown  [tex]425*4=1,700[/tex]

____________________________________________________________

Next We subtract the answer, which we got to be 1,700 from 1266.  

 [tex]1700 - 1266=434[/tex]

____________________________________________________________

Answer : $434 left to spend :)

please help! will mark brainliest.

Answers

Answer:

16

Step-by-step explanation:

Someone help please

Answers

It is 4pi/7, or b. Just want to help ;)

A pair of dice is rolled. Determine the probability of a result with: i. one die showing a 4 and the other a 5?

Answers

Answer:

2/11

Reasoning, there are 36 possible (and equally likely) combinations that we can obtain from two dice. Of these 11 (1,5 2,5 3,5 4,5 5,5 6,5 5,6 5,4 5,3 5,2 5,1) would allow us to ‘know’ that “one dice (not necessarily the first) has shown a 5”. Of these 11 possibilities only two also contain a 4. So the probability is 2/11

Step-by-step explanation: have a good day

One month Chris rented 7 movies and 9 video games for a total of $71. The next month he rented 5 movies and 3 video games for a total of $31. Find the rental cost for each movie and each video game.

Answers

simultaneous equations:
7m+9v=$71
5m+3v=$31

multiply the whole of the second equation by three to get:
7m+9v=$71
15m+9v=$31
now subtract the second equation from the first to get: 8m=$40 so a movie costs $5

now substitute the movie back into:
7(5)+9v=$71
35+9v=$71
9v=$36
so a video game costs $4

The two triangles are similar. Find the values of the unknown variables

Answers

Answer:

x = 84 y = 59°

Step-by-step explanation:

x = (40/30)×63

x = 84

∆ABC = ∆PQR

so y = 59°

Answer:

1.) 47

2.) 28

Step-by-step explanation:

you just had to use the sin equation for both

Karma took a 50 question math test, but only 40 questions were correct. What was the percentage of correct answers?

Answers

Answer:

85 percent

Step-by-step explanation:

Mrs. Montgomery earns a 6.5% commission on her total sales. Last month, she had sales of $55,780. How much commission did Mrs. Montgomery earn last month?

Answers

Answer:

3625.7

Step-by-step explanation:

hope that will help goodbye

The width of a rectangle is 7ft less than the length. The area of the rectangle is 228 square feet. Find the length and width

Answers

Set up figure, side length x, and width x-7. Set equation up

[tex]228 = (x)(x - 7) \\ 228 = {x}^{2} - 7x \\ {x}^{2} - 7x - 228 = 0 \\ (x - 19)(x + 12) = 0 \\ x = - 12 \\ x = 19[/tex]

Since the value x, cannot be negative, x is equal to 19. Therefore the length is 19, width 12 (19-7)

Find the circumference of a circle with a radius of 8 mm.​

Answers

Answer:

C=50.27mm

Step-by-step explanation:

C=2πr=2·π·8≈50.26548mm

Two tanks hold a total of 61 gallons of a toxic solvent. One tank holds 4 gallons more than twice the amount in the other. How many gallons does each tank hold?

Answers

Answer:

tank 1 : 19 gallons

tank 2 : 42 gallons

Step-by-step explanation:

tank 1 : x

tank 2 : 2x+4 ( 4 more than twice the other )

x + ( 2x + 4 ) = 61

3x + 4 = 61 [ add x + 2x = 3x ]

3x = 57 [ subtract 4 on both sides ]

x = 19 [divide 3 on both sides ]

tank 1 : 19 gallons

tank 2 : 42 gallons

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