A number line going from negative 60 to negative 50. An open circle is at negative 54. Everything to the right of the circle is shaded.
Which inequality has the solution set shown on the graph?
-54n < 1080
-54n > 1080
594 > -11n
594 < -11n

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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Answer:

c is the anser

Step-by-step explanation:

Answer:

2?

Step-by-step explanation:

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

Step-by-step explanation:

0.0580644 m2 hope this helps

Step-by-step explanation:

Here,

[tex] \frac{21}{2}ft \: \times \: \frac{1}{4} ft[/tex]

[tex] = \frac{21}{8} {ft}^{2} [/tex]

OR :

[tex]2 \frac{5}{8} {ft}^{2} \: \: also \: \: \: 2.625 {ft}^{2} [/tex]

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:

7144

Step-by-step explanation:

Answer:

B

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:

50 is the answer brainliest?

Step-by-step explanation:

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: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:

22 units

Step-by-step explanation:

Graphed to solve.

Width:

The distance between points K and G, and points J and H is both 4 units. So for both distances between the set of points will be 8 units total.

Length:

The distance between points G and H, and points J and K is both 7 units. So for both distances between the sets of points will be 14 units total.

14 + 8 = 22

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:

The calculated value   t = 2.5>2.326 at 0.01 level of significance

The null hypothesis is rejected at a 0.01 level of significance.

Wheaties cereal is not claimed to have an average of 3 grams of dietary fiber per serving

Step-by-step explanation:

Step(i):-

Given that the average  of dietary fiber per serving μ = 3 grams

Given that the mean of the sample x⁻ = 3.4 grams

Given that the standard deviation of the sample (S) = 0.8 grams

Level of significance = 0.01

Critical value = 2.326

Step(ii):-

Null hypothesis: H₀:  μ = 3 grams

Alternative Hypothesis: H₁: μ ≠ 3 grams

Tets statistic

               [tex]t = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]

              [tex]t = \frac{3.4-3 }{\frac{0.8}{\sqrt{25} } }[/tex]

             t = 2.5

The calculated value   t = 2.5>2.326 at 0.01 level of significance

The null hypothesis is rejected at a 0.01 level of significance.

Final answer:-

Wheaties cereal is not claimed to have an average of 3 grams of dietary fiber per serving

Answer:

x = 15

Step-by-step explanation:

Corresponding sides of similar shapes are proportional to each other. Thus:

(10 + 2)/10 = (x + 3)/x

12/10 = (x + 3)/x

Cross multiply

12*x = (x + 3)*10

12x = 10x + 30

12x - 10x = 30

2x = 30

x = 30/2

x = 15

Hi there!

[tex]\large\boxed{D. \text{ }y = -4x + 6}[/tex]

To derive an equation given the points, we can use the slope formula:

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

Plug in the corresponding coordinates:

[tex]slope = \frac{-6-2}{3-1}[/tex]

Simplify:

[tex]slope = \frac{-8}{2} = -4[/tex]

Therefore, we have:

y = -4x + b

Plug in the x and y values for a coordinate to solve for b:

2 = -4(1) + b

2 = -4 + b

b = 6

The equation is:

y = -4x + 6. The correct answer is D.

Answer:Total number of students surveyed =560

Step-by-step explanation:

Number of students who preferred soda =420

Percentage of students who preferred Soda =75%

Percentage of students who preferred juice =100-75%=25%

Using the formula,

Percentage of students who preferred Soda x total number of students surveyed =Number of students who preferred soda

Therefore we have that

total number of students surveyed  =Number of students who prefeerd juice/Percentage of students who preferred Soda

Total number of students surveyed =420/75%

=560

Answer:

√193

Step-by-step explanation:

pathagorus theorem:

[tex]( {hyp})^{2} = ( {base)}^{2} + ( {perp)}^{2} [/tex]

hyp=x , base= 12 , perp= 7

subtitles all values in formula:

we get

x^2 = 12^2 + 7^2

x^2 = 144 +49

x= √193

The missing side of this right triangle is, 13.90 units.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

The base of the triangle = 12

The perpendicular distance of the triangle = 7

Now, We know that;

Pythagoras theorem stated as;

⇒ Hypotenuse² = Base² + Perpendicular²

⇒ x² = 12² + 7²

⇒ x² = 144 + 49

⇒ x² = 193

⇒ x = √193

⇒ x = 13.90

Thus, The missing side of this right triangle is, 13.90 units.

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Answer:

https://youtu.be/cqF6M25kqq4

Step-by-step explanation:

Answer: 3.2%

Step-by-step explanation: i searched it up

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:

0

Step-by-step explanation:

Plug 2 in for x

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

Simplify

[tex]4-4[/tex]

[tex]=0[/tex]

Answer:

Step-by-step explanation:

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:

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

Step-by-step explanation: