I need help on this question

Answer:

Step-by-step explanation:

The value of cos(x/2) is required.

The required value is [tex]\cos(x/2)=-\sqrt{\dfrac{5-2\sqrt{5}}{10}}[/tex]

The given value is

[tex]\tan x=\dfrac{1}{2}[/tex] where x is in quadrant III.

From trigonometric identities we have

[tex]\sec^2x=1+\tan^2x\\\Rightarrow \sec^2x=1+(\dfrac{1}{2})^2\\\Rightarrow \sec^2x=\dfrac{5}{4}\\\Rightarrow \cos^{2}x=\dfrac{4}{5}\\\Rightarrow \cos x=\dfrac{2}{\sqrt{5}}[/tex]

If x lies in quadrant III then x/2 lies in quadrant II.

Cos is negative in quadrant III so,

[tex]\cos x=-\dfrac{2}{\sqrt{5}}=-\dfrac{2\sqrt{5}}{5}[/tex]

[tex]\cos \dfrac{x}{2}=\pm \sqrt{\dfrac{1+\cos x}{2}}\\ =\pm\sqrt{\dfrac{1-\dfrac{2\sqrt{5}}{5}}{2}}\\ =\pm\sqrt{\dfrac{5-2\sqrt{5}}{10}}[/tex]

Since, x/2 lies in the second quadrant and cos (x/2) is negative.

The required value is [tex]-\sqrt{\dfrac{5-2\sqrt{5}}{10}}[/tex]

Learn more about trigonometry:

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Answer:

-2m -5n = 7m - 3n

<=> -5n + 3n = 7m + 2m

<=> -2n = 9m

<=> m = [tex]\frac{-2}{9}n[/tex]

Step-by-step explanation:

Answer:

n = -9/2m

Step-by-step explanation:

I got this answer from Khan Academy.

Hope this helps! :)

Answer:

tsp of red food coloring = 25

Step-by-step explanation:

Red food coloring = 5 tsp

Blue food coloring = 3 tsp

Red food coloring : Blue food coloring = 5 tsp : 3 tsp

Blue food coloring = 15 tsp

how many tsp of red food coloring would you use to get the same recipe of frosting ?

Let

x = tsp of red food coloring

Red food coloring : Blue food coloring = x tsp : 15 tsp

Equate the ratios to find x

Red food coloring : Blue food coloring

5 tsp : 3 tsp = x tsp : 15 tsp

5 / 3 = x / 15

Cross product

5 * 15 = 3 * x

75 = 3x

Divide both sides by 3

x = 75 / 3

= 25

x = 25 tsp

tsp of red food coloring = 25

Answer:

(x + 3)(3x - 4)

Step-by-step explanation:

Given

3x² + 5x - 12

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 12 = - 36 and sum = + 5

The factors are + 9 and - 4

Use these factors to split the x- term

3x² + 9x - 4x - 12 ( factor first/second and third/fourth terms )

= 3x(x + 3) - 4(x + 3) ← factor out (x + 3) from each term

= (x + 3)(3x - 4)

Thus

3x² + 5x - 12 = (x + 3)(3x - 4) ← in factored form

Divide the cost of 3 kg by 3kg to get the cost of 1 kg:

4.86 / 3 = 1.62

It cost $1.62 for 1 kg.

Answer:

brains zombies chicken nuggets

Step-by-step explanation:

Answer: Emma didnt do rise over run

Step-by-step explanation:

Emma started on the right y-intercept which was -1, but she needed to do rise over run which means she would need to go up 2 and over 1.   Instead, Emma went over 2 and up 1.

Answer:

y=2x+10

Step-by-step explanation:

First, let's put the equation into slope-intercept form. We get y=2x-3/2.

Parallel lines have the same slope, so the slope of the line will be 2.

We then substitute the point into the equation to find the y-intercept.

We get y=2x+10

Hope this helps :-)

Answer:

6436

Step-by-step explanation:

because yes

Answer:

y = 3.5x

Step-by-step explanation:

y=mx+b. given the points (0,0) and (2,7), you solve using y2-y1 / x2-x1 to find slope. This equals 7/2 which = 3.5. Then just put it into equation form of y=mx+b. But, our b is 0 so your equation just becomes y=3.5x

Answer:

C: pi/4<x<5pi/4

Step-by-step explanation:

I just did the test

The solution of the trigonometric inequality will be equal to π / 4.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

Given inequality is 3 - tanx ≥ 4 - 2tanx. The inequality will be solved as,

3 - tanx ≥ 4 - 2tanx

2tanx - tanx ≥  4 - 3

tanx ≥ 1

tanx ≥  tan(π/4)

x ≥ (π/4)

Therefore, the solution of the trigonometric inequality will be equal to π / 4.

To know more about trigonometry follow

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Answer:

Reflexive property

Step-by-step explanation:

Reflexive property is when the value equals its self and they just commuted the letters.

Hope I explained it well I am bad at explaining things lol

Step-by-step explanation:

This is a guess but wouldn't you multiply each side by (0.8)

12(0.8)= 9.6

10(0.8) =8

10(0.8)=8

16(0.8)= 12.8

perimeter= all sides added together

9.6+8+8+12.8= P

P=38.4?

Answer:

This is a guess but wouldn't you multiply each side by (0.8)

12(0.8)= 9.6

10(0.8) =8

10(0.8)=8

16(0.8)= 12.8

perimeter= all sides added together

9.6+8+8+12.8= P

P=38.4?

Step-by-step explanation:

I did this so you can mark the other guy brainliest, its their answer and they deserve all the credit. Make sure to thank them!

Answer:

Reflection of house that types of symmetry ate created from the above photo.

Answer:

c

Step-by-step explanation:

Given that:

Cost of balcony seat = $83

Cost of seating on floor = 60% of balcony seat = 0.6 * $83 = $49.8

Number of tickets for floor seat = f

Number of tickets for balcony seat = b

Total amount to spend should not exceed $560;

[(Cost of balcony ticket * number of balcony tickets) + ( cost of floor tickets * number of floor tickets)] ≤ 560

83b + 49.8f ≤ 560

The closest from the options given is :

83b + 49.8 < 560

Answer:

30.807

Step-by-step explanation:

$4.89 x $6.3= 30.807

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I think this Information is correct:

The relation is a function if each value of x has ONLY one value of y.

Ex: The set {(3, 5) , (-2, 1) , (4, 3)} represents y as a function of x because x = 3 has only y = 5, x = -2 has only y = 1, x = 4 has only y = 3

The set {(4, 5) , (-2, 1) , (4, 3)} does not represent y as a function of x because x = 4 has two values of y 5 and 3

A. Multiple values of X, 1 value of Y.

B. 1 value of X, 1 Value of Y.

C. 2 values of X, no values of Y.

D. No values of X, 4 values of Y.

Answer:

her grocery bill was $34

Step-by-step explanation:

x = grocery bill

.10x = 3.40

divide by .10

x= $34.

Answer:

I know a bit about Angle Bisectors. (the line that splits an angle into 2 equal angles)

Answer:

In geometry, the angle bisector theorem is concerned with the relative lengths of the two segments that a triangle's side is divided into by a line that bisects the opposite angle. It equates their relative lengths to the relative lengths of the other two sides of the triangle.

Hope this helps :)

Answer:

B

Step-by-step explanation:

Got it right on the quiz:)

9514 1404 393

Answer:

  b.  No solution

Step-by-step explanation:

If you subtract the second equation from the first, you get ...

  0 = 7

No value of the variable will make this be true. There is NO SOLUTION.

Answer:

0.36

Step-by-step explanation:

Answer:

1.8inches or 1.83in repeating.

Step-by-step explanation:

divide 11 by 6. you get the decimal 1.83333333. you can either round to 1.8 or do 1.83 with a repeating symbol over the three (small dash above the number).      

Answer:

Zero

Step-by-step explanation:

it is to correct answer because I did this before and one of my classes also subscribe to my channel bye

Answer:

p=  1/3

​ =0.333

Step-by-step explanation:

Simplifying

6 + -9(4p + -3) = 2(6p + 7) + 3

Reorder the terms:

6 + -9(-3 + 4p) = 2(6p + 7) + 3

6 + (-3 * -9 + 4p * -9) = 2(6p + 7) + 3

6 + (27 + -36p) = 2(6p + 7) + 3

Combine like terms: 6 + 27 = 33

33 + -36p = 2(6p + 7) + 3

Reorder the terms:

33 + -36p = 2(7 + 6p) + 3

33 + -36p = (7 * 2 + 6p * 2) + 3

33 + -36p = (14 + 12p) + 3

Reorder the terms:

33 + -36p = 14 + 3 + 12p

Combine like terms: 14 + 3 = 17

33 + -36p = 17 + 12p

Solving

33 + -36p = 17 + 12p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-12p' to each side of the equation.

33 + -36p + -12p = 17 + 12p + -12p

Combine like terms: -36p + -12p = -48p

33 + -48p = 17 + 12p + -12p

Combine like terms: 12p + -12p = 0

33 + -48p = 17 + 0

33 + -48p = 17

Add '-33' to each side of the equation.

33 + -33 + -48p = 17 + -33

Combine like terms: 33 + -33 = 0

0 + -48p = 17 + -33

-48p = 17 + -33

Combine like terms: 17 + -33 = -16

-48p = -16

Divide each side by '-48'.

p = 0.3333333333

Simplifying

p = 0.3333333333