Please help I’m really struggling!!!!!

The exact value of [tex]cos(\frac{11\pi }{8} )[/tex] is [tex]-\sqrt{\frac{2+\sqrt{2} }{4} }[/tex].

The exact values of trigonometric functions are values of trigonometric functions of certain angles that can be expressed exactly using expressions containing real numbers and roots of real numbers. These values are also called analytic values of trigonometric functions or trigonometric values of special angles.

The trigonometric functions are also called the angle functions, which relates the angles and the ratios of the sides of a right angle triangle.

According to the given question.

We have a trigonometric function

[tex]cos(\frac{11\pi }{8} )[/tex]

We have to find the exact value of the above trigonometric function.

since,

[tex]\frac{11\pi }{8}[/tex] can be written as [tex](\pi +\frac{3}{8\pi } )[/tex]

[tex]\implies cos(\frac{11\pi }{8} ) = cos(\pi +\frac{3}{8}\pi )[/tex]

And we know that,

Cos(π + θ) = -cosθ

Because, π + θ lies in third quadrant and in third quadrat cos gives negative values.

Also,

[tex]cos\frac{\alpha }{2} = \pm\sqrt{\frac{1+cos\alpha }{2} }[/tex]        ....(i)

Therefore,

[tex]cos(\pi +\frac{3}{8} \pi )[/tex]

[tex]= -cos(\frac{3}{8} \pi )[/tex]

[tex]= -cos(\frac{3}{2(4)} \pi )[/tex]

[tex]= -\sqrt{\frac{1+cos\frac{\pi }{4} }{2} }[/tex]

[tex]= -\sqrt{\frac{1+\frac{1}{\sqrt{2} } }{2} }[/tex]

[tex]= -\sqrt{\frac{1+\frac{\sqrt{2} }{2} }{2} }[/tex]

[tex]= -\sqrt{\frac{2+\sqrt{2} }{4} }[/tex]

Hence, the exact value of [tex]cos(\frac{11\pi }{8} )[/tex] is [tex]-\sqrt{\frac{2+\sqrt{2} }{4} }[/tex].

Thus, option A is correct.

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Step-by-step explanation:

480 is the answer // provide picture for better answer

Answer:

[tex]2k - 9[/tex]

Step-by-step explanation:

jsjsjsjsjjsjsksksksksksksksksksjskkwjwjwjwkw

Answer:

Yes, this is a right triangle

Step-by-step explanation:

a² + b² = c²

65² + 72² = 97²

4225 + 5184 = 9409

9409 = 9409

Since the hypotenuse equals the 2 legs, it's a right triangle

9514 1404 393

Answer:

  20.78 square units

Step-by-step explanation:

The area of a regular polygon of radius r and number of sides n is given by ...

  A = (n/2)r²sin(360°/n)

For this regular 3-gon of radius 4, the area is ...

  A = (3/2)(4²)sin(360°/3) = 24(√3/2) = 12√3 . . . square units

The area is about 20.78 square units.

Answer:

2?

Step-by-step explanation:

From my understanding, all numbers 300 and below represent defective mp3s, so there's two.

there should be a cross multiplication

3(8x)=2

expanding bracket

24x=2

multiple both sides by 24

x=1/12

Answer:either c or b

Step-by-step explanation: to be honest I searched up

The solution of Equation 2x² + x -3 =0 by factoring is 1 and -3/2.

The breaking or decomposition of an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorization or factoring in mathematics.

We have the equation 2x² + x -3 =0

Now, factorizing the above equation using splitting the middle term we get

2x² + x -3 =0

2x² + 3x - 2x -3 =0

x( 2x + 3) - (2x+ 3)= 0

(2x + 3)(x - 1)= 0

x = -3/2 or 1.

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Answer:

y = 0.14t + 481

Population in 17 years: 483.38

Step-by-step explanation:

y = (m) (x) + b

y = (slope) (x) + starting value

Answer:

Lateral Area = 13 x 13 x 4 = 676 ft²

Surface area = 13 x 13 x 6 = 1014 ft²

Volume = 13 x 13 x 13 = 2197 ft³

Answer:

6

Step-by-step explanation:

because its the middle number

Answer:

Ellie can make eight stacks of quarters with four quarters in each stack

Step-by-step explanation:

Answer:

90 degrees

Step-by-step explanation:

Answer: x=3

Step-by-step explanation:

One of the properties of diagonals of a rectangle is that they bisect each other, meaning that four segments are equal.

For example, in this question, according to the property, AE, CE, DE, BE will be equal.

Solve:

AE=CE

AE+CE=AC

CE+CE=AC

DB=AC

DB=2CE

(18)=2(4x-3)

18=8x-6

18+6=8x-6+6

24=8x

24/8=8x/8

x=3

Hope this helps!! :)

Please let me know if you have any questions

Answer:

She earned 221.25 in commission

Step-by-step explanation:

2.5% of 8850 is 221.25

Answer:91

Step-by-step explanation: 42 - 5(7) (4+9)

5*7=35

42-35= 7

(4+9)=13

7(13)= 91

The value of expression,42 - 5z + 3(x + y) at x=4, y=9, z=7 will be 46.

A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations. Mathematicians can multiply, divide, add, or subtract. An expression is structured as follows: Number/variable, mathematical operator, and expression.

It is given that the expression is,42 - 5z + 3(x + y)

We have to find the value of the expression at x=4, y=9, and z=7.

The value of the expression is obtained by putting the values,

=42 - 5z + 3(x + y)

=42-5(7)+3(4+9)

=42-35+3(13)

=42-35+39

=46

Thus, the value of the expression will be 46.

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Answer:

Mixed number: [tex]2\frac{83}{100}[/tex]

Improper Fraction: [tex]\frac{283}{100}[/tex]

Answer:

[tex]\frac{238}{100}\\\\2\frac{38}{100}[/tex]

Step-by-step explanation:

2.83/1

To make this a normal fraction, the top has to be a whole number, so we can multiply the top and bottom by 100 to slide the decimal point twice.

238/100

This can be shown as a mixed number by removing the 200 which is divisible by 100

[tex]2 \frac{38}{100}[/tex]

Note: The reason the question says not to simplify is because 283 is a prime and cannot be simplified

Answer:

arc EFC = 237°

Step-by-step explanation:

arc DEF = 140°

arc EF = 140° - 83° = 57°

arc DC = arc FG

arc DC = (360° - 140° - 140°)/2 = 40°

arc EFC = arc CG + arc FG = arc EF = 140° + 40° + 57° = 237°

Answer:

6(4X-1) = 24X -6 , (2 . 12X ) - (2 . 3) .

24X+6 = (6 . 4X) + (6 . 1) , 6( 4X + 1 ) .

(4 . 6X) - (4 . 2) = 24X + 8 , 4(6X + 2) .

Step-by-step explanation:

Hope it was helpful dear , good luck ^^

Answer:

7144

Step-by-step explanation:

Answer:

No, the sample is too small compared to the size of the shipment.

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Well four weels in every car so it’s 4 times cars (a)

4 times A=W

Step-by-step explanation: im smart also if u do multiply it by a by 4 it equals  W

Answer:

0

Step-by-step explanation:

Plug 2 in for x

[tex]2(2) -4[/tex]

Simplify

[tex]4-4[/tex]

[tex]=0[/tex]

Answer:

c is the anser

Step-by-step explanation:

Answer:

3 liquid gallons

Step-by-step explanation:

3 + 4 + 5 = 12

12 ÷ 4 = 3 liquid gallons