8.12
Given the diagram below, what is cos(45") ?
450
Triangle not drawn to scale
A. 2-3
B. 4/2
C.
D. JE

8.12Given The Diagram Below, What Is Cos(45") ?450Triangle Not Drawn To ScaleA. 2-3B. 4/2C.D. JE

Answers

Answer 1
B is the correct answer
Answer 2

The value of  cos 45° in the given triangle is 1/√2, Option C is correct.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

In the given right triangle the hypotenuse is 8√2

In the given triangle the two legs are equal.

Let x be the length of the two legs

By Pythagoras theorem, let us find the length of a leg.

x²+x²=(8√2)²

2x²=64(2)

2x²=128

Divide both sides by 2

x²=64

Take square root on both sides

x=8

Now let us find the cosine function, the ratio of adjacent side and hypotenuse

cos45 = 8/8√2

=1/√2

Hence, the value of  cos 45° in the given triangle is 1/√2, Option C is correct.

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ7


Related Questions

Describe the pattern. Draw what might be the next three figures in the pattern

Answers

Answer:

i dont know lol

Step-by-step explanation:

If a =
-5i and b = -4x, then find the value of a+b in fully simplified form.

Answers

-5-4x or if the “i” is a variable instead of a typo then it would be -5i-4x

If a =-5i and b = -4x the value of a+b in the fully simplified form will be 5i-4x.

What is a complex number?

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

It is given that,a =-5i and b = -4x

We have to find the value of a+b in a fully simplified form.

We have to apply the arithmetic operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

=a+b

= -5i-4x

Thus, if a =-5i and b = -4x the value of a+b in the fully simplified form will be 5i-4x.

Learn more about the complex number here:

brainly.com/question/10251853

#SPJ2

A billiard ball is struck by a cue. It travels 100 cm before ricocheting off a rail and traveling another 100 cm into a corner pocket. The angle between the path as the ball approaches the rail and the path after it strikes the rail is 45 degrees. How far is the corner pocket from where the cue initially struck the ball?

Answers

Answer:

76.53 cm

Step-by-step explanation:

From the question, the triangle formed has 2 sides and an included angle ;

Angle, θ = C = 45°

We use cosine rule :

Taking the side to find as c

a = 100 ; b = 100

From cosine rule :

c = sqrt(a² + b² - 2abCosC)

c = sqrt(100² + 100² - 2(100*100)Cos45

c = sqrt(10000 + 10000 - 20000 * 0.7071067)

c = sqrt(20000 - 14142.135)

c = sqrt(5857.865)

c = 76.536690

c = 76.53 cm

Randy wanted to survey to determine the most preferred pet of the residents in his city.Which method of samplingBEST represents the most unbiased opinion?

Answers

Answer:

Survey 100 residents who have pets completely randomly

Step-by-step explanation:

The best sampling method would be to Survey 100 residents who have pets completely randomly. This would provide first-hand information from actual pet owners which would make the results valid. Also, by choosing the individuals to survey completely randomly it allows for the data to be unbiased and representative of the entire pet owner population in the city. This makes the data gathered completely unbiased and valid.

Blue earns 5.5% commission working at Advian. If he sells $85,000 worth of goods during the quarter,
what is his commission?

Answers

Answer:

$4,675

Step-by-step explanation:

The commission is 5.5% of $85,000.

5.5% * $85,000 =

= 0.055 * $85,000

= $4,675

Answer:

$4675

Step-by-step explanation:

85,000 x .055 = 4,675

Hope that helps!

The perimeter of a triangle is 19 units. The second side is four units longer than the first side and the third side is three times the length of the first side. What are the lengths of the sides?

Answers

Answer:

First: 3 units Second: 7 units Third: 9 units

Step-by-step explanation:

19=x+(x+4)+3x

19=5x+4

15=5x

x=3

first side is 3 units

3+4=7

second side is 7 units

3*3=9

third side is 9 units

how do i calculate the range? {mean, median, mode, range} pls help ASAP
Also, can you tell me in the comments how to delete an answer or remove it?

Answers

Answer:

The anwer is below.

Step-by-step explanation:

To calculate mean a.k.a average of something is when you add all of the numbers in the set and then multiply by the number of numbers there were.

an example : 4, 5,6,7 = 4+ 5 + 6 + 7 + 3 = 25 divided by 5 ( the number of numbers there were ) which is 5 so the mean is 5

To calculate the median you have to organize the set of numbers from least to greatest choose the middle number and that's the median, If there is an even number of numbers in the set then you add the two middle numbers and divide it by 2.  

an example : 5,7, 8, 4 =  4, 5, 7 , 8 = the middle numbers = 5 + 7 = 12 divided by 2 = 6

To calculate the mode you have to see which numbers comes more often in the set of numbers, If there are two different numbers that come often even if one is higher include them in the mode.

An example - 5,6,6,6,6,7,7,7. The mode in this is 6 but 7 comes often to so if your teacher tells you to include more than one mode in these kinds of situation you include 7 or in general you don't have to

To calculate the range you choose the greatest and the lowest numbers and substract the highest to the lowest number in the set.

An example  5, 6, 7 , 9 , 8 = 9 ( the highest number in this set) - ( substraction) 5 ( the lowest number in this set) and 9 - 5 = 4 so the range is 4

if a cost for a dinner is 459 and the family wants to leave a 20% tip, with the sales tax of 7% also, what is the total cost?

Answers

Answer:

$589.33

Step-by-step explanation:

Which property is used in the problem below?

2(x+4)=2x+8

Answers

Answer:

You would use the distributive property.

Step-by-step explanation:

2(x+4) = 2x+8

2x+8x = 2x+8

10x = 2x+8

10x - 2x = 2x-2x+8

8x = 8

8x/8 = 8/8

x = 1

Solve the system by substitution
y=-6x

-2x-7y=40

Answers

Answer:

x=1, y=-6. (1, -6).

Step-by-step explanation:

y=-6x

-2x-7y=40

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

-2x-7(-6x)=40

-2x+42x=40

40x=40

x=40/40

x=1

y=-6(1)=-6

PLS IT FOR MY ECONOMICS CLASS

Answers

Answer:

7. Hourly wage: 10 hr 2, 20 : 4, 40: 6, 60: 8, 80: 10, 100: 12, 120: 14, 140: 16, 160: 18, 180: 20, 200It should just be a negative slope

evaluate 2-(-4) +(-and) where Y = 7.

Answers

Answer:

2-4=4+7=11 so that is the answer begginer

help me pls will mark my day no explanation needed

Answers

Answer:

2

Step-by-step explanation:

It's going 2 up and 1 across.

which of the following statements are true?

Answers

Answer:

A. C.

Step-by-step explanation:

Solve for x. Leave in
simplest radical form.
(special right triangle)

Answers

Answer:

4

Step-by-step explanation:

the answer is 4

x=2 and the hypotonouse is equal to 2x

Jerry buys t-shirts for $6 each and marks up the price by 45%.
How much profit does Jerry make from each t-shirt sold?

help pleaseee

Answers

Answer:

$2.70

Step-by-step explanation:

to find out he marks up each shirt by, just do 45% of 6 or 0.45 * 6 = $2.70

If Jerry buys a t-shirt for $6 and sells it for 45% more than she bought it, then jerry is selling them for $8.70 and making $2.70 for each t-shirt she sells, because 45% of 6 is 2.7

You can find this answer by multiplying the percentage by the number (.45 x 6)

Q1. Which of the following are well-defined sets?
(a) All the colors in the rainbow.

(b) All the points that lie on a straight line.

(c) All the honest members in the family.

(d) All the consonants of the English alphabet.

(e) All the tall boys of the school.

(f) All the efficient doctors of the hospital.

(g) All the hardworking teachers in a school.

(h) All the prime numbers less than 100.

(i) All the letters in the word GEOMETRY.

Answers

Answer:

A. All the colors in the rainbow.

Step-by-step explanation:

I think.

How many solutions does the system have? 13x + 4y = 33 26y + 8x =66

Answers

Answer:

55

Step-by-step explanation:

That only has one solution

Explanation: the lines intersect and if they intersect it only has one solution


Hope this helped

(05.01)
Which equation can be used to calculate the area of the shaded triangle below? (5 points)
(Answers in photo)

Answers

Answer:

answer of the above given question is (c) 1/2(10*6)=30,as we know the area of the triangle is 1/2*base*height.So,we can directly find the area of the triangle.

allel...
10. If the midpoints of the sides of AEFG shown below were connected with line segments, what would be the
perimeter of the resulting triangle? Explain how you arrived at your answer.
allel...
E
arall...
of a T...
170 mm
83 mm
110 mm

Answers

Answer:

Perimeter of triangle PQR = 181.5 mm

Step-by-step explanation:

Midsegment theorem states that,

"Midsegment connecting the midpoints of the two sides of a triangle is parallel and half of the length of the third side"

From the figure attached,

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

     = [tex]\frac{83}{2}[/tex]

     = 41.5 mm

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

     = [tex]\frac{110}{2}[/tex]

     = 55 mm

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

      = [tex]\frac{170}{2}[/tex]

      = 85 mm

Perimeter of triangle PQR = PQ + QR + PR

                                           = 41.5 + 55 + 85

                                           = 181.5 mm  

Find the value of x.
.
10
7

Answers

Answer:

X = 12.21

Step-by-step explanation:

Since this is a right triangle, use the formula A^2 + B^2 = C^2 and plug in appropriate values.

(10)^2 + (7)^2 = C^2

100 + 49 = C^2

149 = C^2

12.2065 = C

Rounded to two decimal places, this makes X equal to 12.21.

The required value of x is 12.21 for the given right triangle.

What is the right triangle?

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.

Since this is a right triangle, use the formula A² + B² = C² and substitute appropriate values.

(10)² + (7)² = x²

100 + 49 = x²

149 = x²

x = √149

x = 12.2066

Rounded to two decimal places,

x = 12.21

Therefore, the required value of x is 12.21.

Learn more about Pythagoras's theorem here:

brainly.com/question/343682

#SPJ2

Function or not a function?

Answers

yo no se ok yo no se solamente qiero puntos

Will mark brainliest !!!!

Answers

Answer:

7/8=14/16     5/24=38     7/12=21/36

5.) 4/7=8/14   6.) 16/4=4/1   7.) 8/10=40/50

8.) 16/20=8/10  9.) 32/8=8/2   10.) 7/9=21/27

1.) 8/5=4/2 1/2   2.) 3/7=4/28/3

3.) 4/3=3/9/4     4.) 2/3=4/6   5.) 4/8=5/2/5

6.) 6/3=4/2        7.) 15/8/3=5/8    8.) 9/2/3=6/4

BRO I"M BEGGING PLEASE GIVE ME BRAINLIEST AFTER THAT THAT TOOK FOREVER AND GOODLUCK IN THE FUTURE ALSO ADD ME AS A FRIEND SO I CAN "TUTOR YOU" IF YOU NEED IT

explain how to solve 6 - 2x = 3

Answers

you will move the constant to the right so it will be -2x=3-6 then u will calculate -2x=-3 you then divide both sides so x will be 3/2
This is the explanation

Give the domain and range of each relation. Tell whether the relation is function. Explain. (GUYS I NEED HELP IDEK WHAT DOMAIN OR FUNCTION MEANS) pls help

Answers

Answer:

Domain: [0, 4]

Range: [0, 4]

Function? Yes

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x) Range is the set of y-values that are outputted by function f(x) Vertical Line Test - no function can have the same x-value for different y-coordinates

Step-by-step explanation:

According to the graph, our x-values span from 0 to 4. Since both are closed dot, they are inclusive in the domain:

Interval Notation - [0, 4]

Inequality Notation - 0 ≤ x ≤ 4

According to the graph, our y-values span from 0 to 4. Since both are closed dot, they are inclusive in the range:

Interval Notation - [0, 4]

Inequality Notation - 0 ≤ x ≤ 4

Since we see that each x-value has a unique y-value and passes the vertical line test.

∴ the relation is a function.

I’f the vertical length is 10 what is the horizontal length

Answers

Answer:

Missing context,

Do you have a ratio I could work with?

HELP
What is the Constant of proportionality? I don't know if its 2 or 2.5 because 3 and 7 meet but so do 1 and 2

Answers

I would say 2.5 because if the constant of proportionality was 2 the 4 and 2 also meet. Also at the end the 10 and 4 meet and 10 divided by 4 is 2.5

A puppy eats a sausage 5 seconds faster than a kitten eats an identical sausage. If they share one sausage, they can eat it in 6 seconds. How long does it take each animal to eat a sausage alone?

Answers

Answer:

Kitten is 15 seconds and dog is 10 seconds

In work and time the time taken is inversely proportional to the work done. Work and time is a concept to solve the problems of work related question in a given time.The kitten eats a sausage in 15 seconds  and puppy eats a sausage in 10 seconds.

What is concept of  Work and time?

In work and time the time taken is inversely proportional to the work done. Work and time is a concept to solve the problems of work related question in a given time

Given-

Puppy and kitten eats one sausage combined in 6 sec.

A puppy eats a sausage 5 seconds faster than a kitten eats an identical sausage.

Let puppy eats a sausage in [tex]x[/tex] seconds and kitten eats a sausage in [tex]y[/tex] seconds.

As Puppy and kitten eats one sausage combined in 6 sec.Thus,

[tex]\dfrac{1}{x} +\dfrac{1}{y} =\dfrac{1}{6}[/tex]

Let above equation is equation one.

A puppy eats a sausage 5 seconds faster than a kitten eats an identical sausage. Thus

[tex]\dfrac{1}{x} -\dfrac{1}{y}=\dfrac{1}{5}[/tex]

Put this value of [tex]x[/tex] in the  the equation one to get the value of y. Therefore,

[tex]\dfrac{1}{6} -\dfrac{1}{y}-\dfrac{1}{y}=\dfrac{1}{5}[/tex]

[tex]-\dfrac{1}{2y}=\dfrac{1}{5}-\dfrac{1}{6}[/tex]

[tex]-\dfrac{1}{2y}=-\dfrac{1}{30}[/tex]

[tex]y=15[/tex]

Thus the kitten eats a sausage in 15 seconds.

Put the value of y in equation one. thus,

[tex]\dfrac{1}{x} +\dfrac{1}{15} =\dfrac{1}{6}[/tex]

[tex]\dfrac{1}{x} =\dfrac{1}{6}-\dfrac{1}{15}[/tex]

[tex]\dfrac{1}{x} =\dfrac{9}{90}[/tex]

[tex]x=10[/tex]

Thus the puppy eats a sausage in 10 seconds.

Hence the kitten eats a sausage in 15 seconds  and  puppy eats a sausage in 10 seconds.

Learn more about the work and time here,

https://brainly.com/question/8536605

help pls I have more ​

Answers

Answer:

Step-by-step explanation:

Answer:

[tex] \frac{5}{10} \times \frac{2}{1} = \frac{10}{10} = 1[/tex]

[tex] \frac{1}{10} \times \frac{8}{3} = \frac{8}{30} = \frac{4}{15} [/tex]

[tex] \frac{2}{6} \times \frac{12}{6} = \frac{24}{36} = \frac{2}{3} [/tex]

[tex] \frac{1}{4} \times \frac{1}{3} = \frac{1}{12} [/tex]

[tex] \frac{1}{5} \times \frac{1}{1} = \frac{1}{5} [/tex]

Thomas decides on a destination for his vacation. If he takes the train there, it will take 5 1/8 hours to get there. If he takes the plane, it will take him 2 2/3 hours

Answers

Answer: 2 11/24

Step-by-step explanation:

How many hours does the plane save?

Time taken for the train = 5 1/8

Time taken for the plane = 2 2/3

The number of hours saved will then be:

= 5 1/8 - 2 2/3

Let the lowest common multiple be 24

= 5 3/24 - 2 16/24

= 2 11/24

The number of hours saved by the plane will be 2 11/24

Other Questions
Someone please give me the answer? 1. Read each sentence from Dr. King's "I Have a Dream" speech. Mark the elements that are parallel. Then, note what type of parallel structure is being used-words, phrases, or clauses. a. One hundred years later, the life of the Negro is still sadly crippled by the manacles of segregation and the chains of discrimination. In this linear equation what is the dependent variable y=2x+4 simplify 12/18 into an equivalent fraction A group of men and women that are the President's advisers are also known as what?O White House CounselThe CabinetThe AdvisoryChief of Staff Which is the graph of x - y = 1?TyTy5443332+21-5-4-3-2-164tarX-11 2 31 2 3 4 55 -5-4-3-2-1,2223234341543Save and ExitNextSubmitMark this and return What is the BEST explanation for why grizzly bears are successful in a wide variety of ecosystems?1. Grizzly bears are large omnivores that hibernate during the winter, so they do not need as much food as you think2. Grizzly bears are large omnivores that can survive on plants, berries, and small and large mammals.3. Grizzly bears are large and powerful and prey on large animals for food.4. Grizzly bears are smart and always know where to find food. (3x + 4) + (5x - 6) add or subtract horizontally Where or what website can I download anime's? For free Hey, how long would it take me to learn Korean using Duolingo. It's. been a year all ready. I spend about 1-2 hours practicing. 9 hundred = how many 10's Wilma can walk 4 miles in 30 minutes. How many miles can she walk in 3 hours? ayudaaa es para hoy ;-; 1.what does the joint external evaluation tool do a. calculates the impact of infant mortality rates on a countryb. transports vaccines worldwidec. Breakstone health event systems of countries into three categories: prevent, detect, and respond d.contributes to organizing health data2.All Millennium Development Goals were met by 2015. a. true b. false Suppose that you have $5,000 to invest. Which investment yields the greater return over a 10 year period: 7.74% compounded daily or 7.8% compounded quarterly? Find the total amount of the investment after 10 years if $5,000 is invested at 7.74% compounded daily. $ (Round to the nearest cent as needed.) Can whoever answers this answer one of the questions on my account I have like 20 minutes to answer them. NO ONE IS HELPING ME PLZ HELP!!! THIS IS DUE IN A FEW MINS It HAS to be one paragraph :D PLZ ANSWER IT PROPERLY or your answer will be reported. No go ogle answers either plzWhat has the power to heal? Explain. Identify ways people deal with emotional pain and how they overcome this intense emotion. What is the frequency of highly energetic ul-traviolet radiation that has a wavelength of124 nm?The speed of light is 3 x 108 m/s.Answer in units of Hz. 10 points and king crown extra 5+ points and pplease go to pic and answer it Select all expressions that are equivalent to 16x 12 24x + 4 by showing your work & explain your reasoning. 1)40x - 16 2)4 - 12 - 4x + (- 4x) 3) 8x - 8 4)-8 (r + 1)