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

5x + y over A equals 2, solve for x

Answers

Answer:

2+y over 5

Step-by-step explanation:

5x + y =2

5x=2+y

x=2+y over t

Look!! I need the answer asap, please!
[tex]\bf x+38=-25[/tex]

Answers

Answer:

-63

Step-by-step explanation:

= > x + 38 = - 25 = > x = - 25 - 38 = > x = - 63...ans

HOPE IT HELPS YOU!!!!

Answer:

-63 that should help

Step-by-step explanation:

Voting in Hillsboro's annual school board elections has been going down by 5% from one election to the next. If 900 parents voted this year, how many will vote 9 years from now?

If necessary, round your answer to the nearest whole number.

Answers

9514 1404 393

Answer:

  567

Step-by-step explanation:

The multiplier each year is 1 -5% = 0.95. Applying that multiplier 9 times gives ...

  900(0.95^9) ≈ 567

About 567 voters are expected to vote 9 years from now.

Jenna had $180.47 in her checking account. She bought groceries for $75.11 and gas for $29.64. How far below $100 is her checking account now?

$80.47
$4.74
$24.28
$75.72

Answers

Answer:

75.72

Step-by-step explanation:

A flock of birds perched on a tree. In the morning, each bird perched 1 tree and 1 bird left. In the afternoon, 2 chicks perched, 1 tree left over. Ask how many birds, how many trees?

Answers

Answer:

2 birds 1 tree

Step-by-step explanation:

I think only not sure

f(9) = -14. what is the value of f^-1(-14)
Please show step by step :)

Answers

Answer:

[tex]f^{-1}[/tex] (- 14) = 9

Step-by-step explanation:

f(9) = - 14 maps x = 9 to y = - 14

The inverse maps y = - 14 to x = 9 , that is

[tex]f^{-1}[/tex] (- 14) = 9

Please helppppp please

Answers

Answer:

its B

Step-by-step explanation:

I did this in class

The answer is going to be : b

If l is parallel to m find the value of X (x+72)=(3x)

Answers

Answer:

x = 27°

Step-by-step explanation:

Given the lines are parallel you have a pair of same-side interior angles and these angles = 180°

x + 72 + 3x = 180

4x + 72 = 180

4x = 108

x  = 108/4

x = 27°

The value of x will be 27 degree

The solution to the above problem

Given the lines are parallel you have a pair of same-side interior angles and these angles = 180°

x + 72 + 3x = 180

4x + 72 = 180

4x = 108

x  = 108/4

x = 27°

The value of x will be 27 degree

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What is the solution to the following equation?
5x+7X = 60
A. X = 12
B. X = 15
C. = 5
D. X-2

Answers

the answer is C, x = 5

Answer:

c 5

Step-by-step explanation:

1. Solve
2 -(3 -1)=6(1- )

Answers

Answer:

2 (-3 - 1) = 6 (-1)?? If thats the equation you were trying to type then the answer is: -8 = -6

Step-by-step explanation:

Ally's science class was looking at bacteria through a microscope. Ally's teacher said some bacteria can be as small as 0.00365 cm long. What is the length of the bacteria written in scientific notation?

Answers

The length of the bacteria should be written in scientific notation.

0.00365 in scientific notation = 3 × 10^-3

Given.

length of the bacteria in decimal = 0.00365 cm long

Scientific notation is written in the format x × 10ⁿ

where,

x = any number between digit 1 and 10

n = exponent (positive or negative).

To have a negative exponent value, move decimal to the right

To have a positive exponent value, move the decimal point to the left.

In this case, the nearest significant value is 3

So move the decimal point three times to where 3 is

That is,

0.00365 = 3.65

Since the decimal point is moved to the right 3 times, n = - 3

we have 10^-3

Therefore,

0.00365 in scientific notation = 3 × 10^-3

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- Equation Editor A set of curtains normally
sells for $58.99. Roberta used a coupon
good for 20% off the regular price. To the
nearest cent, how much did Roberta pay for
the curtains before sales tax?

Answers

Answer:

89.99

Step-by-step explanation:

u add i48934yr84 r84

Roberta paid the amount of $47.19 for the curtains before the sales tax.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

We have been given that equation editor A set of curtains normally sells for $58.99. Roberta used a coupon good for 20% off the regular price.

To determine the amount for the curtains before the sales tax

According to the given conditions, the solution would be as:

⇒ 58.99 × (1 - 20%)

⇒ 58.99 × (1 - 0.20)

Calculate the sum or difference and we get

⇒ 58.99 × 0.80

Apply the multiplication operation to get

⇒ 47.192

Round the number nearest to the hundredth,

⇒ 47.19

Therefore, Roberta paid the amount of $47.19 for the curtains before the sales tax.

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Two friends, Bart and Claudia, purchased concessions at a basketball game.

Bart purchased 2 drinks and 2 candy bars for a total of $5.00.
Claudia purchased 1 drink and 4 candy bars for a total of $4.75.
Which statement is true?


Drinks cost $1.75 each, and candy bars cost $0.75 each.
Drinks cost 1 point 7 5 dollars each, and candy bars cost 0 point 7 5 dollars each.

Drinks cost $0.75 each, and candy bars cost $1.75 each.
Drinks cost 0 point 7 5 dollars each, and candy bars cost 1 point 7 5 dollars each.

Drinks cost $1.25 each, and candy bars cost $1.25 each.
Drinks cost 1 point 2 5 dollars each, and candy bars cost 1 point 2 5 dollars each.

Drinks cost $1.00 each, and candy bars cost $0.75 each.

Answers

The Drink cost $1.75 each, and candy bars cost $0.75 each.

let

The price of a drink = x

The price of a candy bar  = y

Bart total purchase

2x + 2y = 5

Claudia total purchase

x + 4y = 4.75

The cost of each can be calculated by combining the equations. Therefore,

2x + 2y  = 5

x + 4y = 4.75

x = 4.75 - 4y

2(4.75 - 4y) + 2y = 5

9.5 - 8y + 2y = 5

9.5 - 6y = 5

-6y = -4.5

y = -4.5/-6

y = 0.75

2(0.75) + 2x  = 5

1.5 + 2x = 5

2x = 5 - 1.5

2x = 3.5

x = 3.5/2

x = 1.75

Cost of a drink = $1.75

Cost of a candy bars = $0.75

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What is x^2-4+4? Thanks!

Answers

Answer:

(x-2)(x-2) or (x-2)^2

Step-by-step explanation:

Hope this helps!

HELP ASAP PLS 10 POINTS ​

Answers

Answer:

try a or b hope this helps

Answer:

top right

Step-by-step explanation:

Nate is baking cookies for a bake sale. He needs 2 1/4 cups of flour for each batch of cookies, and he needs to make 3 1/3 batches. How much flour does Nate need to make his cookies? 5 7/12 cups 6 1/12cups 6 7/12 7 1/2cups​

Answers

Answer:

correct the answer is 7[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The required cups of floor needed to make his cookies is 7 1/2 cups. Option D is correct.

Given that,
Nate is baking cookies for a bake sale. He needs 2 1/4 cups of flour for each batch of cookies, and he needs to make 3 1/3 batches, how much flour does Nate need to make his cookies is to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Amount of floor for each batch of cookie = 2 1/4
Total floor required to bake 3 1/3 batches = 9 / 4 × 10 / 3 = 7 1 / 2

Thus, the required cups of floor needed to make his cookies is 7 1/2 cups. Option D is correct.

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i need to find out what the answer to this math problem is. 7/8 divided by 1/6

Answers

your answer is 0.145

Find the missing variable in the diagram below.

Answers

60 + (3x - 13) = (5x + 1)

60 + 3x - 13 = 5x + 1

3x - 5x = 1 - 60 + 13

-2x = -46

-2x / -2 = -46 / -2

x = 23

Answer: x = 23

HELP!!!
Jacob and Paul are playing a game of cards. After the first round, Jacob said that Paul's score would be twice his own score if he earned 7 more points.
Paul responded to Jacob by telling him his score was only 6 points higher then Jacobs.
PART A. write a system of equations to represent each of the boys statements. Be sure to specify what your variables represent.
PART B. If they both are correct. How many points did each if the boys score??

MY LAST POST GOT REMOVED PLS HELP I NEED THIS DONE TODAY!!

Answers

Interpreting the situation, we have that:

a) The system of equations is:

[tex]y = 2x - 7[/tex]

[tex]y = 6 + x[/tex]

b) Solving the above system, it is found that Jacob scored 13 and Paul scored 19.

Item a:

In our system, we have that:

Jacob's score is of x.Paul's score is of y.

Jacob said that Paul's score would be twice his own score if he earned 7 more points, which means that:

[tex]y + 7 = 2x[/tex]

[tex]y = 2x - 7[/tex]

Paul responded to Jacob by telling him his score was only 6 points higher then Jacob's, which means that:

[tex]y = 6 + x[/tex]

Item b:

Equaling both equations:

[tex]2x - 7 = 6 + x[/tex]

[tex]x = 13[/tex]

[tex]y = 6 + x = 6 + 13 = 19[/tex]

Jacob scored 13 and Paul scored 19.

A similar problem is given at https://brainly.com/question/24104709

5) A positive plus a negative will (always, sometimes, never) be negative.
Give an example that proves your answer:

Answers

Hello logan693616!

[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]

A positive plus a negative will (always, sometimes, never) be negative.

Give an example that proves your answer:

[tex] \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}[/tex]

A positive plus a negative will sometimes be negative.

Suppose, we take a positive number whose value is greater than that of the negative number. While adding them, we'll take the sign of the greater number, which in this case is positive, so our answer will be a positive number. For example, +4 + (-3) = +1.Now, if we take a negative number which is greater than the positive number, the sum of the two numbers will be negative. For example, (-4) + 3 = -1.So, the answer can actually depend based on the value of the numbers used.Hence, our answer is ⇨ A positive plus a negative will sometimes be negative.

__________________

Hope it'll help you!

ℓu¢αzz ッ

Write the equation of the line parallel to a line with the equation y = -6x+4 and passes through the point (-2, 6).

Answers

Answer:

its 0

Step-by-step explanation:

yea i made that up I NEED POINTS ALR

what is the slope-intercept form of the liner equation 2x + 3y = 6?
x, y, -6, -3, -1,
[tex]\ - \frac{3}{2} [/tex]
[tex]\ - \frac{2}{3} [/tex]
2, 3, 6, +, -, =,

Answers

Answer:  [tex]y = -\frac{2}{3}x+2[/tex]

Check out the diagram below.

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

Work Shown:

[tex]2x + 3y = 6\\\\3y = 6-2x\\\\3y = -2x+6\\\\y = \frac{-2x+6}{3}\\\\y = \frac{-2x}{3}+\frac{6}{3}\\\\y = -\frac{2}{3}x+2\\\\[/tex]

The steps above show us subtracting 2x from both sides, then we divide both sides by 3 to fully isolate y.

The last equation is in [tex]y = mx+b[/tex] form with [tex]m = -\frac{2}{3}[/tex] as the slope and [tex]b = 2[/tex] as the y intercept.


What is an equation of the line that passes through the point (-4,-6) and is
perpendicular to the line 2c – y = 6?

Answers

Answer:

y = -1/2c - 8

Step-by-step explanation:

2c - y = 6

2c -6 = y

Slope: 2. Slope of the perpendicular line: -1/2

Point (-4,-6)

y-intercept = -6 - (-1/2)(-4)

b = -6 -2 = -8

The equation of the line that passes through the point [tex](-4,-6)[/tex]  and is

perpendicular to the line [tex]2c - y = 6[/tex] is [tex]2x_{2} -y_{2} +2=0[/tex].

What is equation of the line ?

Equation of the line: The general equation of a straight line is [tex]y = mx + c[/tex]. This variable [tex]'c'[/tex] is called the intercept on the [tex]y-axis[/tex].  And [tex]y = c[/tex] is the value where the line cuts the [tex]y-axis[/tex].

Here,

[tex]m=[/tex] the gradient,

[tex]c=[/tex]  the intercept on the y-axis

We have,

An equation of the line that passes through the point [tex](-4,-6)[/tex]  and is

perpendicular to the line [tex]2c - y = 6[/tex] .

So,

Line [tex]2c - y = 6[/tex]  

[tex]2c - y = 6[/tex]

⇒ [tex]y=2c-6[/tex]

and  [tex]y = mx + c[/tex]

On comparing above two equations

[tex]m=2[/tex]

and Slope [tex]=-\frac{1}{m}[/tex]

So, Slope [tex]=-\frac{1}{2}[/tex]

Now,

Slope of the equation [tex](m)=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Slope of required equation [tex]=\frac{-1}{Slope \ of \ 2c-y=6}[/tex]

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

Now,

Equation of line with slope [tex]2[/tex] and passing through point [tex](-4,-6)[/tex] ,

Slope of the equation [tex](m)=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

[tex]2=\frac{y_{2} -(-6) }{x_{2} -(-4) }[/tex]

[tex]2x_{2} +8=y_{2} +6[/tex]

[tex]2x_{2} -y_{2} +2=0[/tex]

So, the equation of the line is  [tex]2x_{2} -y_{2} +2=0[/tex] .

Hence, we can say that the equation of the line that passes through the point [tex](-4,-6)[/tex]  and is perpendicular to the line [tex]2c - y = 6[/tex] is [tex]2x_{2} -y_{2} +2=0[/tex].

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here does the line y = 2x + 7 cross the y-axis?
at x = 7
at y = 2
at x = 2
at y = 7

Answers

Answer:

at y = 7

Step-by-step explanation:

When the line cross at the y-axis, x = 0

y = 2*0 + 7

y = 0 +7

y = 7

at y = 7

i cant tell what the question is supposed to mean but if you looking for the y-intercept its 7

plssssss help meh with this

Answers

Answer:

f(-9) = -263

Step-by-step explanation:

f(-9) = -3(-9)^2 - 20

= -3(81) - 20

= -243 - 20

= -263

T.
G
1.6 cm
6 cm
6 cm

-
Find volume

Answers

Answer:

57.6......

Step-by-step explanation:

v=lxbxh...........

C = 5/9 × (F – 32)


122°F = °C

Answers

Answer:

In Celsius the degree is 50°

Step-by-step explanation:

Put the 122° into the equation given.

i need to find the slope and the value of A B

Answers

Answer:

the slope is 2 and a=8 b=6

Step-by-step explanation:

If (x+iy)³ = y+vi then show that (y/x + v/y) = 4(x²-y²)​

Answers

Answer:

Step-by-step explanation:

[tex] \large\underline{\sf{Solution-}}[/tex]

Given that,

[tex]\rm \longmapsto\: {(x + iy)}^{3} = y + iv[/tex]

[tex]\rm \longmapsto\: {x}^{3} + 3 {x}^{2}(iy) + 3x {(iy)}^{2} + {(iy)}^{3} = y + iv[/tex]

[tex]\rm \longmapsto\: {x}^{3} + 3 {x}^{2}yi + 3x {i}^{2} {y}^{2} + {i}^{3} {y}^{3} = y + iv[/tex]

We know,

[tex] \purple{\rm \longmapsto\:\boxed{\tt{ {i}^{2} = - 1 \: \: \: and \: \: \: {i}^{3} = - i }}} \\ [/tex]

So, using this, we get

[tex]\rm :\longmapsto\: {x}^{3} + 3 {x}^{2}yi - 3x{y}^{2} - i{y}^{3} = y + iv[/tex]

[tex]\rm \longmapsto\: ({x}^{3} - 3x {y}^{2}) + i(3{x}^{2}y- {y}^{3})= y + iv[/tex]

On comparing real and Imaginary parts, we get

[tex]\rm \longmapsto\:y = {x}^{3} - 3 {xy}^{2} [/tex]

and

[tex]\rm \longmapsto\:v = {3x}^{2}y - {y}^{3} [/tex]

Now, Consider

[tex]\rm \longmapsto\:\dfrac{y}{x} + \dfrac{v}{y} [/tex]

[tex]\rm \:  =  \: \dfrac{ {x}^{3} - {3xy}^{2}}{x} + \dfrac{ {3yx}^{2} - {y}^{3} }{y} [/tex]

[tex]\rm \:  =  \: \dfrac{ x({x}^{2} - {3y}^{2})}{x} + \dfrac{y({3x}^{2} - {y}^{2})}{y} [/tex]

[tex]\rm \:  =  \: {x}^{2} - {3y}^{2} + {3x}^{2} - {y}^{2} [/tex]

[tex]\rm \:  =  \: 4{x}^{2} - {4y}^{2}[/tex]

[tex]\rm \:  =  \: 4({x}^{2} - {y}^{2})[/tex]

Hence, Proved

If AM = x + 8 and MB= 6x – 2, find MB.

Answers

Answer:

10

Step-by-step explanation:

Firstly, AM=x+8

or, A=x+8-M......eqn (i)

MB=6x-2

or, B=6x-2-M......eqn (ii)

Now,

from eqn (i) and (ii)

x+8-M=6x-2-M

or, 8+2=6x-x-M+M

or, 10=5x

or, 10÷5=x

therefore, x=2

Again,

MB=6x-2

=6×2-2

=12-2

=10

is it correct

please mark me as BRAINLIEST

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