What is cos(45°)?
45°
1
Cos (459) = VI?
[]
COS
=
Hint: Remember to rationalize the denominator.

What Is Cos(45)?451Cos (459) = VI?[]COS=Hint: Remember To Rationalize The Denominator.

Answers

Answer 1

Answer:

[tex]\rm \dfrac{\sqrt2}{2}[/tex]

Step-by-step explanation:

A right angled ∆ is given to us and we need to find out the value of cos 45° ( with rationalized denominator ) . As we know that in a right angle ∆ , the value of cosine is ,

[tex]\rm\implies cos\theta =\dfrac{base}{hypotenuse} [/tex]

In the given triangle ,

Value of base = 1 Value of hypotenuse = 2

On substituting the respective values ,

[tex]\rm\implies cos45^\circ =\dfrac{1}{\sqrt2} [/tex]

For rationalizing the denominator , multiply numerator and denominator by 2 , we have,

[tex]\rm\implies cos45^\circ=\dfrac{1(\sqrt2)}{(\sqrt2)(\sqrt2)} [/tex]

Simplify ,

[tex]\rm\implies \boxed{\pink{\frak{ cos45^\circ=\dfrac{\sqrt2}{2} }}}[/tex]


Related Questions

a rectangular lawn has an area of a^3 - 125. use the difference of cubes to find out the dimensions of the rectangle.

Answers

The area of a rectangle is the product of its dimensions

The dimensions of the rectangle are: [tex]\mathbf{Length = a -5}[/tex] and [tex]\mathbf{Width = a^2 + 5a + 25}[/tex]

The area is given as:

[tex]\mathbf{Area = a^3 - 125}[/tex]

Express 125 as 5^3

[tex]\mathbf{Area = a^3 - 5^3}[/tex]

Apply difference of cubes

[tex]\mathbf{Area = (a - 5)(a^2 + 5a + 5^2)}[/tex]

[tex]\mathbf{Area = (a - 5)(a^2 + 5a + 25)}[/tex]

The area of a rectangle is:

[tex]\mathbf{Area = Length \times Width}[/tex]

So, by comparison:

[tex]\mathbf{Length = a -5}[/tex]

[tex]\mathbf{Width = a^2 + 5a + 25}[/tex]

Read more about areas at:

https://brainly.com/question/3518080

16% of 95 is what number?

Please answer this fast I'll mark you as brainliest. Thank You.

Answers

Answer:

16% of 95 is 15.2

Step-by-step explanation:

0.16×95= 15.2

16.2


Trust me bro I got you

The sum of three numbers is 137. The second number is 4 more than two times the first number. The third number is less than three times the first number. Find the three numbers.

Answers

Answer:

23, 50, 64

Step-by-step explanation:

137 = 23 + 50 + 64

Let the first number be x

Second number: 2x+4

Third number: 3x-5

Write the equation:

x + (2x + 4) + (3x-5) = 137

Solve for "x"

6x - 1 = 137

6x = 138

x = 23

Plug x (23) into the equation:

x + (2x + 4) + (3x-5) = 137

23 + 2(23) + 4 + 3(23) - 5 = 137

(23 + 46 + 4 + 69) - 5 = 137

142 - 5 = 137

Negative four and one-fifth minus negative thirteen and one-tenth

Answers

Answer:

8 nine tenths

Step-by-step explanation:

-4 1/5 -(-13 1/10)
(-21/5) - (-131/10)
(-42/10)-(-131/10)
131-42=89
89/10
8 and nine- tenths or 8 9 divided by 10

You put 56 green marbles and 24 yellow marbles into bags. Each bag has the same number of green marbles and the same number of yellow marbles. What is the greatest possible number of bags you can make using all the marbles? How many green marbles are in each bag? How many yellow marbles?

Answers

Answer:

8 bags

7 green marbles and 3 yellow marbles

Step-by-step explanation:

Find the GCF of 24 and 56

24 = 4 x 6

= 2 x 2 x 2 x 3

56 = 7 x 8

= 7 x 4 x 2

= 7 x 2 x 2 x 2

The common factors are - 2 x 2 x 2, which is 8.

So the greatest number of bags they can make is 8

Divide the amount of marbles by the number of bags

24 yellow marbles and 8 bags, so 24/8 is 3

56 green marbles and 8 bags, so 56/8 is 7

Hope this helps, let me know if you have any questions

what set of numbers does ^22 fall between

Answers

Answer:

4 and 5

Step-by-step explanation:

If you mean what [tex]\sqrt{22}[/tex] falls into, you would get something in between 4 and 5.

We can solve this by first finding a square root that is higher than that, which is [tex]\sqrt{25}[/tex] and [tex]\sqrt{16}[/tex].

If we go by that [tex]\sqrt{22}[/tex] falls in between 4² and 5².

Cheers!

Twice the difference of a number squared and 7

Answers

Answer: 2(x^2-7)

Step-by-step explanation:

Can someone help me with this

Answers

Answer:

4/5, 3/4, 5/7, 2/7, 1/7

Step-by-step explanation:

Answer:

I am here to help you like a hero

Step-by-step explanation:

so the order is 4/5,3/4,5/7,2/7,1/7

I've tried everywhere to get this answerrrrr ill give brainliest for the correct answer mate!!

Answers

Answer:

list out some of the difference between Mendeleev periodic table modern periodic table plz give ans

help ME PLEASE FAILING GEOMETRY!

Answers

4) a. a//b
5) c. Alternate Exterior

[tex]\sf 300+200+200[/tex]

Answers

Step-by-step explanation:

300+200+200 = 700.

so simple

hope this helps you.

if you take 3 apples from 10 apples how many apples do you have

Answers

Answer:

still 10 even tho you took 3

Step-by-step explanation:

A square has a side length 9cm . What is its area?
O 18 cm
O 36 cm
81 cm
acker
0 27 cm

Answers

Answer:

81 cm^2

Step-by-step explanation:

1. The area of a square is s^2, where s = length of side. In this case, s = 9.

[tex]9^2[/tex] [tex]9 * 9[/tex] [tex]81[/tex]

Therefore, the area is 81 cm^2.

Answer:

81

Step-by-step explanation:

square amount of sides = 4

one side is 9cm

all square sides ae congurent (equal).

9 x 9

A = 81

Belinda is thinking about buying a house for $286,000. The table below shows the projected value of two different houses for three years:

Number of years 1 2 3
House 1 (value in dollars) 294,580 303,417.40 312,519.92
House 2 (value in dollars) 295,000 304,000 313,000


Part A: What type of function, linear or exponential, can be used to describe the value of each of the houses after a fixed number of years? Explain your answer. (2 points)

Part B: Write one function for each house to describe the value of the house f(x), in dollars, after x years. (4 points)

Part C: Belinda wants to purchase a house that would have the greatest value in 25 years. Will there be any significant difference in the value of either house after 25 years? Explain your answer, and show the value of each house after 25 years. (4 points)

Answers

Answer: Part C: House 1 at 25 is at

$598820.5 (rounded to the

nearest cent) and House 2 is at

$511000. House 1 has a higher

value. I hope that helps

A line is represented by the equation y = x + 2. Suppose the slope of the line was doubled and the value of the y-intercept was divided by 2. What is the equation of the new line?

Answers

Answer:

y = 2x + 1

Step-by-step explanation:

slope is the coefficient of the 'x' term, in this case 1

doubling 1 gives you 2

y-intercept is 2, dividing this by 2 gives you 1

Mikey spent 16 hours and 36 minutes on a puzzle. He's almost done but needed 4 hours and 43 more minutes to complete it. How long did it take Mikey to finish the puzzle?

Answers

Answer:

21 hours and 19 minutes

Step-by-step explanation:

The picture I took is what I need help with.

Answers

Answer:

4th option

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 6, 0 ) and (x₂, y₂ ) = (0, - 9) ← 2 points on the line

m = [tex]\frac{-9-0}{0-(-6)}[/tex] = [tex]\frac{-9}{0+6}[/tex] = [tex]\frac{-9}{6}[/tex] = - [tex]\frac{3}{2}[/tex]

The line crosses the y- axis at (0, - 9 ) ⇒ c = - 9

y = - [tex]\frac{3}{2}[/tex] x - 9 ← in slope- intercept form

Multiply through by 2 to clear the fraction

2y = - 3x - 18 ( add 3x to both sides )

3x + 2y = - 18 ← in standard form

calculate the number of months in each.use addition. a) 2 years​

Answers

Answer:

24

Step-by-step explanation:

12+12

is it correct

What is 268 divided by 6 with a remainder

Answers

Answer:

264 with a remainder of 4

Step-by-step explanation:

The solution is: 44 is 268 divided by 6 with a remainder 4.

Here, we have,

given that,

268 divided by 6

Given the following mathematical expression;

268 /  6

We would apply the law of division for fractions.

268 /  6

= 268 ÷ 6

= 44 + 4

the remainder is 4

Hence, The solution is: 44 is 268 divided by 6 with a remainder 4.

To learn more on division click:

brainly.com/question/21416852

#SPJ6

i need help with this maths homework please

Answers

I found this on another question made before

Just add a random answer

Answers

thx ig lol how are u

f(x) = 3x3 + 4x2 – 8x - 2
g(x) = 3x - 5
Find (f - g)(x).

Answers

[tex]\displaystyle (f-g)=f(x)-g(x) =3x^3+4x^2-8x-2-(3x-5 )= \\\\ \boxed{3x^3+4x^2-11x+3}[/tex]

5 ≤ 12 - m, if m = 8

Answers

Answer:

5 ≤ 12 - m

5 ≤ 12 - 8

5 ≤ 4

Therefore, it is false statement

Step-by-step explanation:

If you than please mark me brainliest thanks

The given statement is false.

The given statement is 5 ≤ 12 - m, if m = 8.

What is a inequality?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Now, replacing m by 8 in the given inequality, we get

5 ≤ 4

Therefore, the given statement is false.

To learn more about the inequality visit:

https://brainly.com/question/20383699.

#SPJ2

No Link or I’m blocking you :)

Answers

Answer:

- 55

Step-by-step explanation:

20 - 15(2²· 5/4) =      Exponent20 - 15(4 · 5/4) =       Parenthesis20 - 15(5) =               Multiplication20 - 75 =                   Subtraction- 55

help fast pleaseee
NO RANDOMS

Answers

a) is -18
b) is -20
c) is 18

Answer:

a) 6 × (-3) = – 18

b) (-5) × 4 = – 20

c) (-9) × (-2) = 18

Step-by-step explanation:

** Note;

[tex]( - ) \times ( - ) = ( + ) \\ ( + ) \times ( - ) = ( - )\\ ( - )\times ( + ) = ( - ) \\( + ) \times ( + ) = ( + )[/tex]

I hope I helped you^_^

(-2) times (-3x) -4x

x=
Evaluate the expression

Answers

Answer:

= 6x

Step-by-step Evaluation:

Evaluate for x=6

((−2)(−3))(6)

((−2)(−3))(6)

=36

(hope this helps you) :)

anyone know what to do no bot answer please they are annoying very annoying..

Answers

Answer:

5

Step-by-step explanation:

Hope it helps. :D

Answer:

144 I think have a good day

PLEASE HELP IT’S DUE TMR

Answers

Answer:

hope you find the answer

Help With this Math Problem!

Answers

Answer:

84

Step-by-step explanation:

1110 = 150 + (15 * 64)

150 is 20 cameras, so we get 64 + 20 = 84 cameras

Answer:

93 cameras

Step-by-step explanation:

it's actually 92.6666666667 but i rounded

Part A: Rhett made $250 washing cars with his mobile car wash company. He charges $70 per car and earned $50 in tips. Write an equation to represent this situation. (4 points)
Part B: Scarlett made a profit of $250.00 with her mobile car wash company. She charged $75.00 per car wash and received $35.00 in tips, but also had to pay $5.00 in cleaning supplies per car wash. Write an equation to represent this situation. (4 points)


Part C: Explain how the equations from Part A and Part B differ. (2 points)

Answers

Answer:

Part A 70x+50=250

Part B(75x + 35) = 250 - 5x

Step-by-step explanation:

Here to form an equation you must add all the money that she earned and subtract the money that she had to spend We dont know how many car washes she did, so we must represent it with a variable, or x.

Answer:

Step-by-step explanation:

Part A: Rhett washed 3 cars and earned $50 in tips. y=70x+50

Part B: $75 - $5 = $70 (this is the amount charged minus the amount needed to get the job done per car wash)

the +35 is the tips extra/ constant that will be added after the jobs are done.

x is the number of car washes done

y would be the profit received.

so y = 70x + 35 (profit = value of car wash * number of cars washed + tips)

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