If cos x = −1/4 and csc x < 0, find cot x/2

Answers

Answer 1

The value of cot x/2 is √3/√5.

What is Trigonometry?

Trigonometry, the branch of mathematics concerned with specific functions of angles and their application to calculations.

given:

cos x=-1/4

sin x= √15/4

cosec x= 4/√15

and, cot x= -1/√15

Now, cot x/2= cosec x+ cot x

= 4/√15-1/√15

= 3/√15

= √3/√5

Hence, the value of cot x/2 is  √3/√5.

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Related Questions

the diameter of circle x is 15 cenimeters. thediameter of circle y is 20 centimenters which measurement is closest to the diffrence between the circumference of circle x and the circumference of circle y in centimenters.

Answers

Answer:

15.7cm

Step-by-step explanation:

the circumference of x=L1=2π =15cm

L2=2π =20cm

L2-L1

=20π-15π

=5π

=5×3.14

=15.70cm

If the cost of labor in the united states is five times greater than the cost of labor in
asia, how much would it cost to produce a pair of nike athletic shoes in the united
states? assuming that all other costs remain the same and the shoes would still sell for
$65 a pair, what would be the percentage difference in profit realized

Answers

Therefore the percentage difference in profit realized will be 66.67 % .

What is Profit ?

Profit, is net income earned after subtracting all dollar costs from total revenue.

In effect, it shows the amount of money a firm has left over after deducting the explicit costs of running the business.

Suppose all the charges for making the shoes is x (other than the labour charge)

Labor charge in Asia is y

And as given in the question Labor Charge in United States is 5y

The final cost off the shoes is $65

Profit in asia = (65-x-y)

Profit in United States = (65-x-5y)

Let's use trial and error method to understand this

suppose the making cost is x = $10  and the labor charge in asia is $5 per shoes so

Profit in Asia = 65-10-5 = $50

Profit in United Stated = 65- 10-25 = $30

the percentage difference in profit realized

= (50-30) * 100 /30

= 2000/30 = 200/3 = 66.67%

Therefore the percentage difference in profit realized will be 66.67 % .

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A new TV costs $675 and the finance rate is 9.5%. If a down payment of $75 is made
and the TV is financed for one year, what is the monthly payment?

Answers

Answer:

The monthly payment will be $54.75

Step-by-step explanation:

Hope this helps!

The answer will be 57 dollars. Because the down payment is 75 dollars, you will need to reduce that. Then it will be 600 dollars. Then you will pay 50 dollars per month. Then add finance! Hope this helps!!!

Please help me. 15 points

Answers

Answer:

360 feet

ft = 120 • 3 = 360 feet

Answer:

Your choice of 360 is correct.

Step-by-step explanation:

3 feet = 1 yard

120 times 3 =

360

Please mark Brainliest

Which expression is equivalent to the area of square A, in square inches?

Answers

Answer:

the required expression equivalent to the area of the square A in inches is (10² + 24²).

Step-by-step explanation:

Jillian and Dawn are playing a game of miniature golf. In this game, the score on a hole is the number of putts it takes to get the ball into the hole. The winner is the player with the lowest score. After playing 18 holes, Jillian’s mean is 2.4 and Dawn’s mean is 3.3. Which explains who won the game?
Jillian won the game because her score varied less than Dawn’s score.
Jillian won the game because the person with the lower mean took fewer putts on average for each hole.
Dawn won the game because the person with the greater mean played better.
Dawn won the game because her mean absolute deviation was less than Jillian’s.

Answers

Answer:

Step-by-step explanation:

Discussion

This should be answered with the mean. The lower the mean, the lower the  score it took to get the mean. So B is the answer.

IT IS B OK LETS GO YES

Which function has a domain of all real numbers?


Answers

Answer:

D

Step-by-step explanation:

[tex]( {2 x})^{ \frac{1}{3} } - 7 = \sqrt[3]{2x} - 7[/tex]

Scott rolled a number cube several times and counted how many times he rolled a 3.


If Scott rolls the number cube 300 times, how many times should he predict to roll a 3?

Answers

Answer:

if it is a 6 sided cube, then 50

Step-by-step explanation:

300/6=50

Vectors u, v, and w are shown in the graph. What are the magnitude and direction of u + v + w?

Answers

Magnitude and direction of u + v + w is equals to 57.871 and 19°.

What is vectors?

"Vectors are those quantity of which represents both direction as well magnitude."

According to the question,

As shown in diagram we have,

u + v + w

   = (wcos30°)[tex]\^{i}[/tex] + (wsin30°)[tex]\^{j}[/tex] +(vcos20°)[tex]\^{j}[/tex] - (vsin40°)[tex]\^{i}[/tex] -(ucos40°)[tex]\^{i}[/tex] -(usin40°)[tex]\^{j}[/tex]

  = ( wcos30° - vsin40° - ucos40°)[tex]\^{i}[/tex] + (wsin30°+ vcos20° - usin40°)[tex]\^{j}[/tex]

   

Substitute the value of ║w║ = 40 ,║v║=60,and ║u║= 90 we get,

u + v +w

= (  40cos30° - 60sin40° - 90cos40°)[tex]\^{i}[/tex] + (40sin30°+ 60cos20° - 90sin40°)[tex]\^{j}[/tex]

= (20√3 - 20.5212 - 68.9440)[tex]\^{i}[/tex] + ( 20 +56.3816 - 57.8509)[tex]\^{j}[/tex]

= ( -54.8242)[tex]\^{i}[/tex] + (18.5307)[tex]\^{j}[/tex]

Therefore,

Magnitude = √(-54.8242)² +(18.5307)²

                  =√3349.0798

                  = 57.8712

   tanθ = ( 0.3380)

⇒θ = tan⁻¹ (0.3380)

     = 18.67

    ≈ 19°

Hence, magnitude and direction of u + v + w is equals to 57.871 and 19°.

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can someone explain to me the letter or sign or variable after "Y"

Answers

Answer:

It is a symbol used to denote an angle (or something else)

Step-by-step explanation:

Alpha(α) is a greek letter, it's one of the letters used to denote angles. Other such letters you'll often see in math are Beta (β), Gamma (γ), Delta (δ), these are used to denote angles. Also, pi (π), which is a mathematical constant. The letters phi (φ) and theta (θ) are also used for angles very often, especially in formulas. You'll see some of these in physics too.

It can be used as variable too, not necessarily for angles, but it's mostly used for them.

What is the value of the expression shown below?

7 + (2 + 6) 2 ÷ 4 ⋅ 1 over 2 whole to the power of 4

Answers

Answer:

7 1/4

Step-by-step explanation:

7+16/4*(1/2)*4

7+16/4*(1/16)

7+4*1/16

7+1/4=7 1/4

I think this is correct

What is the Area of the circle in pi units if the diameter is 6 cm?

Answers

Answer:

9π cm

Step-by-step explanation:

Given diameter of circle (d) = 6cm

radius (r) = d/2 = 6/2 = 3cm

Area of circle = πr²

= π × 3²

= π × 9

= 9π

The area of the circle in pi units when the diameter of this circle is 6 centimeters is 9π centimeters.

What is the area of the circle?

The area of the circle is the space occupied by it. It is the product of pi and square of its diameter divided by 4. The area of the circle can be given as,

[tex]A=\pi\dfrac{d^2}{4}[/tex]

Here (d) is the diameter of the circle. The diameter of the circle is 6 cm.

[tex]d=6[/tex]

Put this value in the above formula to find the area of the circle as,

[tex]A=\pi\dfrac{6^2}{4}\\A=\pi\dfrac{36}{4}\\A=\pi\times9\\A=9\pi\rm\; cm[/tex]

Thus, the area of the circle in pi units when the diameter of this circle is 6 centimeters is 9π centimeters.

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I need help with this geometry problem.

Answers

Answer:

m<1 = 48 m<2=12.6 m<3= 48

Step-by-step explanation:

96 ÷ 2 =48

38÷3= 12.6

48

10000x30 1000x30 100x30 10x 30

Answers

Answer:

300000

30000

3000

300

Step-by-step explanation:

Use the zero's trick for 10's.

The product of the given multiplications are 300000, 30000, 3000 and 300

What is multiplication?

Multiplication is when you take one number and add it together a number of times.

Example: 5 multiplied by 4 = 5 + 5 + 5 + 5 = 20. We took the number 5 and added it together 4 times. This is why multiplication is sometimes called "times".

Given that are four multiplication, 10000x30, 1000x30, 100x30 and 10x 30,

We know,

Multiplication by multiples of 10, 100, 1000, 10000:

We multiply the multiplicand by the non-zero digit of the multiplier. Then we add the same number of zero to the extreme right of the product as the multiplier has.

For example :-

26 × 10000 = 260000

524 × 10000 = 5240000

Therefore,

10000 x 30 = 300000

1000 x 30 = 30000

100 x 30 = 3000

10 x 30 = 300

Hence, the product of the given multiplications are 300000, 30000, 3000 and 300

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please help me!! what would x be?? solve for X

Answers

Answer:

x = 14

Step-by-step explanation:

The different types of angle relationships:

Supplementary Angles : Supplementary angles are two angles that form a line, the sum of the two angles is 180 degreesComplementary Angles : Complementary angles are two angles that form a right angle , the sum of the two angles is 90 degreesVertical Angles : Vertical angles are angles opposite of each other formed on intersecting lines, the two angles are congruent ( equal to each other )

Based off of these three angle relationships we can identify the two angles as supplementary angles as the two angles shown form a line therefore we know the sum of those two angles is 180 degrees. Knowing this we can create an equation.

Creating an equation:

We know that the two angles are supplementary angles and we also know that supplementary angles add up to 180 degrees. So the sum of the two expressions represented by the two given angles must equal 180.

In other words 9x - 14 + 5x - 2 = 180

Solving for x

Know that we have created an equation we can solve for x algebraically.

9x - 14 + 5x - 2 = 180

==> combine like terms

14x - 16 = 180

==> add 16 to both sides

14x = 196

==> divide both sides by 14

x = 14

And we are done!

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[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

[tex] \textbf{Let's solve for x } [/tex]~

[tex] \textsf{As we can see, the sum of measures of the} [/tex][tex] \textsf{ marked two Angles is equal to 180° } [/tex]

[tex] \texttt{[ by linear pair property ]} [/tex]

[tex]\qquad \sf  \dashrightarrow \:9x - 14 + 5x - 2 = 180[/tex]

[tex]\qquad \sf  \dashrightarrow \:9x + 5x - 14 - 2 = 180[/tex]

[tex]\qquad \sf  \dashrightarrow \:14x - 16 = 180[/tex]

[tex]\qquad \sf  \dashrightarrow \:14x = 180 + 16[/tex]

[tex]\qquad \sf  \dashrightarrow \:14x = 196[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 196 \div 14[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 14[/tex]

[tex] \texttt{Therefore, the value of x is 14} [/tex]

I Hope you understood the whole procedure ~

A carnival charges $3 for kids and $10 for adults. On Saturday, there were 500 visitors, and the total amount taken at the gate was $3,600. The equation representing the number of visitors is k + a = 500, where k represents the number kids and a represents the number of adults. The equation representing the amount of money collected is 3k + 10a = 3,600. How many kids and adults visited the carnival? Part A Before solving this problem, decide which tool you’ll use to solve it. Which method for solving systems of linear equations is best for solving this problem? Explain your answer.

Answers

Answer: number of kids(k)=200

sand the number of adults(a)=300, visited the carnival.

The tool I used is called simultaneous equation and I used elimation method as the method.

please solve this problem using the pythagorean theorem, and give me the right answer and I will give you brainliest. :)

Answers

[tex]\bold{ANSWER:}[/tex]
6.1 kilometers

[tex]\bold{SOLUTION:}[/tex]

Find the volume of the pyramid. Round to the nearest hundredth. The base has 5 sides The base is 110mm squared each side is 8 mm. Also the height is 11mm. Pleaseeeeeeeeeee try and do this.

Answers

The volume of the pyramid is the amount of space in it, and the volume of the pyramid is 403.33 mm³

How to determine the volume of the pyramid?

The given parameters are:

Base area = 110 mm²Base length = 8 mmHeight = 11 mm

The volume of a pyramid is:

Volume = 1/3 * Base area * Height

So, we have:

Volume = 1/3 * 110 * 11

Evaluate

Volume = 403.33

Hence, the volume of the pyramid is 403.33 mm³

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Evaluate. (3/8+3/4)−(1/3+1/6)

Answers

Answer:

0.625

Step-by-step explanation:

You must first calculcate what is in between the parentheses. Firstly, you add 3/8 + 3/4 (as shown in the beginning) to get 1.125. Second, you add 1/3 plus 1/6 (shown in the second part of the equation) to get 0.5. Lastly, you're left with 0.625 after subtracting 0.5 from 1.125.

if f(x)= x²+x(2a+2b)+4ab-x. f'(x)=....

DON'T COPY PASTE!!! please use the methods and steps​

Answers

[tex]f(x) = x^2 +x (2a+2b) +4ab-x\\\\f'(x) = 2x+x \cdot 0 + 2a+2b + 0 -1\\\\~~~~~~~~=2x+0+2a+2b-1\\\\~~~~~~~~=2x+2a+2b-1[/tex]

From the definition of the derivative,

[tex]f'(x) = \displaystyle \lim_{h\to0} \frac{f(x+h) - f(x)}h[/tex]

We have

[tex]f(x) = x^2 + x(2a+2b) + 4ab - x = x^2 + (2a+2b-1)x + 4ab[/tex]

and so

[tex]\displaystyle f'(x) = \lim_{h\to0} \frac{\left((x+h)^2 + (2a+2b-1)(x+h) + 4ab\right) - \left(x^2 + (2a+2b-1)x + 4ab\right)}h[/tex]

[tex]\displaystyle f'(x) = \lim_{h\to0} \frac{x^2 + 2xh + h^2 + (2a+2b-1)x + (2a+2b-1)h + 4ab - x^2 - (2a+2b-1)x - 4ab}h[/tex]

[tex]\displaystyle f'(x) = \lim_{h\to0} \frac{2xh + h^2 + (2a+2b-1)h}h[/tex]

[tex]\displaystyle f'(x) = \lim_{h\to0} (2x + h + 2a+2b-1)[/tex]

[tex]\displaystyle f'(x) = \boxed{2x + 2a + 2b - 1}[/tex]

HII GIVING BRAINLIESST TO WHO EVER EXPLAINS AND HELPS ME THANK U

Answers

Step-by-step explanation:

we don't need to actually do the detailed area calculation.

all we need to consider is that an area, ANY area (for triangles, rectangles,...) is always the product or the sum of products of 2 dimensions (like side lengths).

the scaling factor of similar objects (incl. triangles of course) applies to each individual line, length, height or side.

so, when calculating the area of a similar figure, the scaling factor has to be multiplied in twice (once for every multiplied dimension) - making it the square of the normal single-dimensional scaling factor.

so, in other words, the area scaling factor is the square of the side scaling factor.

coming from A1 to A2 the area scaling factor is

80/45 = 16/9

the side scaling factor is then

sqrt(16/9) = 4/3

we have to multiply a side of A1 by 4/3 to get the corresponding side of A2.

and so, the ratio of A1 side lengths to A2 side lengths is

3:4

(the inverse, upside-down form of the scaling factor as a consequence of the question "how do I convert the 3 length units of A1 into 4 length units of A2 ?" by multiplying the 3 units by the scaling factor 4/3).

Geri built a pencil box in the shape of a right rectangular prism. the amount of space inside of the box is 176 cubic inches. what is the height of geri’s pencil box? a rectangular prism with a length of 8 inches, width of 11 inches, and height of question mark. 2 inches 4 inches 8 inches 9 inches

Answers

The height of the pencil box is 2 inches

How to determine the height of the pencil box?

The given parameters are:

Volume = 176

Length = 8

Width = 11

The height of the pencil box is calculated using

Height = Volume/(Length * Width)

So, we have:

Height = 176/(8 * 11)

Evaluate

Height = 2

Hence, the height of the pencil box is 2 inches

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Answer:

2 Inches

Step-by-step explanation:

Good Luck

Determine the period of the following graph.

Answers

Answer:

4π/2

Step-by-step explanation:

Any one full pattern in the graph is called a cycle, and the length of an interval over which a cycle occurs is called the period.

so the distance between the top of the first 2 waves is 4π/2 so thats the peroid

can you guys help me with this

Answers

why this thing says im rude

What is the distance between point B and point C? Point C is 8.6 units.
A) 5 units
B) 2.1 units
C) 8.6 units
D) 4.1 units

Answers

Answer:

4.1 units

Step-by-step explanation:

A( -2,3)

B( 2,5)

C( 8.6)

Let U = {1,2,3,4,5,6,7,8,9,10}
Let A = {2,4,6,8,10}
Let B = {1,3,4,6,9}
Determine (A - B)'

Answers

Answer:

A-B = {2,8,10]

this is the correct answer

i hope my answer was helpful to you

Which equation represents the graph
shown below?
y
650
600
550
500
450
400
350
300
w
250
200
150
100
50
X
-2
2
4
6
8
10
12
14
16
18
-50
-100

Answers

Answer:

y300

Step-by-step explanation:

line graph start at y300

hi I'm having some trouble

Answers

Answer:

4-4

Step-by-step explanation:

Substitute the actual values of the points into the distance formula.

A rectangle and an equilateral triangle have the same perimeter

The perimeter of the rectangle is 2x+2(3x-1) inches

The perimeter of the equilateral triangle is 3(x+1) inches

Solve the value of x and the perimeter of each figure

Answers

Answer:

A rectangle and an equilateral triangle have the same perimeter

The perimeter of the rectangle is 2x+2(3x-1) inches

The perimeter of the equilateral triangle is 3(x+1) inches

Solve the value of x and the perimeter of each figure

Solve -a/3=18 show work

Answers

Step-by-step explanation:

[tex] - \frac{a}{3} = 18 \\ [/tex]

[tex] - a = 18 \times 3 = 54[/tex]

Now change the sign of both side of the equation...

[tex]a = - 54[/tex]

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