If
5
3 cosα = in the first quadrant, what does cot α
equal?

Answers

Answer 1

Answer:

5/4

Step-by-step explanation:

To Find :-

cot a .

Solution :-

By question ,

=> cos a = 5/3 = b/h

=> p = √ 5² - 3² = √ 25 -9 = 4

Therefore ,

=> cot a = b/p = 5/4


Related Questions

Can someone help me on this please

Answers

Answer:

x = 2

Step-by-step explanation:

[tex]( \frac{7 - 4}{9} )x = \frac{3}{12} + \frac{5}{12} \\ \frac{x}{3} = \frac{2}{3} \\ x = 2[/tex]

1. The local ice cream shop has had a great month in sales. Based on the Information below, calculate the operating ratio.
cost of goods sold = $2,500.00
net sales = $18,200.00
operating expenses = $4,350.00
O 62 percent
O 38 percent
O 71 percent
O 32 percent

Answers

The operating ratio of the local ice cream shop is 38 percent

The cost of goods sold is $2,500

The net sales is $18,200

The operating expenses is $4,350

The operating ratio can be calculated as follows

= cost of goods sold+ operating expenses/total revenue

= 2500+4,350/18,200

= 6,850/18,200

= 0.376×100

= 37.6

= 38%

Hence the operating ratio is 38%  

Click on the link below to learn more

https://brainly.com/question/18460165?referrer=searchResults

A square shaped room contains 12 m3 of air. If the height of the room is 3 m, what is the area of the floor. Also, find the length of the floor.​

Answers

Answer:

A square shaped room contains 12m³of air.If the height of the room is 3m,what is the area of the floor. find the length too.also write the method ka answer

Step-by-step explanation:

please mark me brainlist

PLS HELP MY PARENTS R GOING TO HIT ME

Answers

Answer:

There are 104 nickels and 33 quarters

Step-by-step explanation:

Start of with the equation N = 3Q + 5. q is the amt of quarters n is the nickels. Then substitute Q with 33 since that is the amount of quarters and solve the equation for the amount of nickels that there are.

PLEASE HELPPP

Which statement correctly compares the reading speed of Danika and Kevin?

A. Each hour, Kevin reads 10 fewer pages than Danika.

B. Each hour, Kevin reads 10 pages more than Danika.

C. Each hour, Kevin reads 5 fewer pages than Danika.

D. Each hour, Kevin reads 5 pages more than Danika.​

Answers

Answer:

No.B is correct statement

2/x^2 in indices form explanation. I know the answer is 2x^-2 but I want an explanation.

Answers

Answer:

see explanation

Step-by-step explanation:

Using the rule of exponents

[tex]\frac{1}{a^{m} }[/tex] ⇔ [tex]a^{-m}[/tex] , then

[tex]\frac{2}{x^2}[/tex] = 2 × [tex]\frac{1}{x^2}[/tex] = 2[tex]x^{-2}[/tex]

A grain of salt is an example of which geometric figure?

Answers

Answer: point

Step-by-step explanation:

( 1,-2), gradient = -3​

Answers

Answer:

if you are required to find the equation of a straight line use the formula y-y1= m (x-x1)

y+2=-3(x-1)

y+2=-3x+3

y= -3x+3-2

y -3x+1

hope this helps

Answer:

y = -3x + 1

Step-by-step explanation:

(y -(-2)) = -3(x-1)

y+ 2 = -3x+ 3

y = -3x + 1

Is the following number rational or irrational?
0.7
Choose 1 answer:
Rational
Irrational

Answers

Correct answer:
Rational Number

The quotient of five less than a number and six, is -4

Answers

Answer:

(a-5) / 6 = -4

or

-19

Step-by-step explanation:

(a-5) / 6 = -4

multiply by 6

a - 5 = -24

+5       +5

a = -19

If F is the function defined by F(x)=3x−1, find the solution set for F(x)=2.
A. {13}
B. {8}
C. {5}
D. {1}

Answers

Answer:

D. {1}

Step-by-step explanation:

F(x)=3x−1

Let F(x) =2

2 = 3x-1

Add 1 to each side

2+1 = 3x-1+1

3 =3x

Divide by 3

3/3 = 3x/3

1 =x

The soccer team is conducting a fundraiser selling long-sleeved t-shirts for $14 and short-sleeved t-shirts for $10. So far the team has sold less than $200 worth of the two types of t-shirts. Which inequality best represents x, the number of long-sleeved t-shirts they have sold, and y, the number of short-sleeved t-shirts they have sold?

Answers

Answer:

Step-by-step explanation:

If x represents the number of long-sleeved shirts and each of these cost $14, then the expression for that is 14x; likewise for short-sleeved shirts that are represented by y. The expression for short-sleeved shirts that cost $10 apiece is 10y. Putting that together with the fact that they earned less than $200 when selling these at the same time, the inequality is

14x + 10y < 200

Answer:D i just got it right trust mw

Step-by-step explanation:i

And these questions

Answers

Answer:

17) 250 km²

18) never

19) sometimes

20) 288 in³

Step-by-step explanation:

17)

this polygon can be seen as the combination of two shapes : a 16×13 rectangle on top, and a right-angled triangle at the bottom.

this triangle has the side lengths

15 km

(16 - 10) = 6 km

(27 - 13) = 14 km

the total area is the area of the rectangle plus the area of the triangle.

the area of the rectangle (length×width)

Ar = 16×13 = 208 km²

the area of the triangle (baseline×height/2)

since it is a right-angled triangle, we use one side of the 90 degree angle as baseline and the other as height

At = 6×14/2 = 3×14 = 42 km²

so the total area of the polygon

Ap = Ar + At = 208 + 42 = 250 km²

18) the first quadrant is the area between the right (positive) side of the x axis and the upper (positive) part of the y axis. all points here have always and only positive x and y values. never any negative ones.

19) when a point is on the x-axis, well, left of point 0 on the x -axis are only negative values of x. and right of point 0 of the x-axis are only positive values of x. so, for some of these points the x value is positive, and for some it is negative. therefore "sometimes".

20) the volume of a box is length×width×height.

V = 8×3×12 = 24×12 = 288 in³

A survey of 700 people revealed 45% were planning to vote for a political party at the upcoming election. How many people is this?

Answers

Answer 315 people.

Step-by-step explanation:

Answer:

315

Step-by-step explanation:

45% is part of the 700 people who vote for a political party at the upcoming election.

Step 1. Use [tex]\frac{part}{whole} =\frac{part}{whole}[/tex] where 45% is part of the 700 people

Answer: [tex]\frac{45}{100} =\frac{?}{700}[/tex]

Step 2. Divide 45 by 100

Answer: 0.45

Step 3. Multiply it by 700

Answer: 315

so 315 people were planning to vote for a political party

*** I NEED HELP PLEASE HELP YOUR GIRL OUT LOL**

Identify the segment parallel to the given segment

Answers

Answer:

parallel segments in order: CB, CA, CO, AN, BA, NO

Please help fast geometry !!

Answers

Answer:

1733.28

Step-by-step explanation:

we want to find the surface area of the cylinder

We are given:

diameter = 12in

height = 40in

formula to find surface area of a cylinder: SA = 2πr^2 + 2πrh (where h = height and r = radius)

in order to find the SA of a cylinder we need to know the radius

we are given that the diameter is 12

we can acquire the measure of the radius by dividing the diameter by 2 ( this is because the radius is equal to half of the diameter )

so r = 12/2 = 6

now to find the surface area,

we simply plug in the values of the radius and height into the SA of a cylinder formula

SA = 2πr^2 + 2πrh

r = 6

h = 40

( note it says use 3.14 for π )

substitute values

SA = 2(3.14)(6)^2 + 2(3.14)(6)(40)

if you plug this into a calculator you get that the surface area is 1,733.28

Use the distributive property to write the expression without parentheses.
6(3a-2)

Answers

Answer:

18a - 12

Step-by-step explanation:

6(3a-2)

6*3a - 6*2

18a - 12

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]18a - 12[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Simplifying...}}\\\\6(3a-2)\\-----------------\\\rightarrow \text{Distribute the '6' into '3a' and '-2'.}\\\\\rightarrow 6 * 3a = 18a\\\\\rightarrow 6 * -2 = -12\\\\\\\text{Therefore:}\\\\6(3a-2)\rightarrow \boxed{18a - 12}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

find the difference 25 - (-3) =

Answers

Answer:

28

Step-by-step explanation:

Subtracting a negative is like adding

25 - -3

25+3

28

Answer:

28

Step-by-step explanation: Not sure about this, but technically the question is written wrong. The "difference" is a form of subtraction, and if you simplify your question you get a question to do with addition.

25-(-3)

= 25+3   (since negative and negative makes positive)

=28

PS  Again, not sure about this question.

1. Which of the following is a true statement?
a. A perfect square is a number whose
square root is an even number.true
b. The inverse of squaring a number is to
divide the number by 2.
C. To square a number, multiply the number by
itself.
d. All of the above.

Answers

Answer:

C. To square a number, multiply the number by

itself.

Step-by-step explanation:

find x,y in the following pictures

Answers

Answer:

not detectable

Step-by-step explanation:

Firstly the question is not clear and the second thing is that the given information don't seem to be enough for calculation

Correct answer gets 5 star

Answers

Answer:

A. The function is Nonlinear.

Calculate the correlation coefficient, r, for the data below. Row chart ( (x )(y ) ) row chart ( ( -10 )( 2 ) ) row chart ( ( -8 )( -3 ) ) row chart ( ( -1 )( -15 ) ) row chart ( ( -4 )( -10 ) ) row chart ( ( -6 )( -6 ) ) row chart ( ( -7 )( -5 ) ) row chart ( ( -5 )( -8 ) ) row chart ( ( -3 )( -13 ) ) row chart ( ( -2 )( -14 ) ) row chart ( ( -9 )( -1 ) )

Answers

Answer:

The correlation coefficient is approximately -0.9949

Step-by-step explanation:

The given data is presented as follows;

[tex]\begin{array}{lcl}x&&y\\-10&&2\\-8&&-3\\-1&&-15\\-4&&-10\\-6&&-6\\-7&&-5\\-5&&-8\\-3&&-13\\-2&&-14\\-9&&-1\end{array}[/tex]

The correlation coefficient, r is given as follows;

[tex]r = \dfrac{\sum(x_i - \overline x) \cdot (y_i - \overline y)}{\sqrt{\sum (x_i- \overline x)^2\times \sum (y_i- \overline y)^2 } }[/tex]

From MS Excel, we have;

∑([tex]x_i - \overline x[/tex])·([tex]y_i - \overline y[/tex]) = -155.5

∑([tex]x_i - \overline x[/tex])² = 82.5

∑([tex]y_i - \overline y[/tex])² = 296.1

Therefore, r = -155.5/(√(82.5 × 296.1)) ≈ -0.9949

The correlation coefficient, r ≈ -0.9949

ASAP HELP!!!!!!!!!!!!!!!!!!!!!!!!!
Haley fills a balloon with water until it becomes a sphere with a diameter of 5 centimeters. Approximately, how much water does the balloon contain? Use 3.14 for .

A. 26.17 cubic centimeters

B. 65.41 cubic centimeters

C. 523.33 cubic centimeters

D. 104.67 cubic centimeters

Answers

Answer:

523.33 cm³

Step-by-step explanation:

Volume of sphere is given by the formula :

V = (4/3)×pi×r³

= (4/3)×3.14×125

= 523.33 cm³

Select the correct answer.
The product of two numbers is 21. If the first number is -3, which equation represents this situation and what is the second number?
ОА
The equation that represents this situation is x-3 = 21. The second number is 24.
ОВ.
The equation that represents this situation is 3x = 21. The second number is 7.
Ос.
The equation that represents this situation is -3x = 21. The second number is -7.
OD.
The equation that represents this situation is -3 + x = 21. The second number is 18.

Answers

nOSE

D

AS

DA

DAS

DA

SD

ADA

SD

Answer:

Oc

Step-by-step explanation:

Oc because product means multiplication and there is a negative sign

Find the indicated side of the
triangle.
30°
a = [?]

help please quick

Answers

Answer:

SOH-CAH-TOA

TAN(30) = 3/x

[tex]x=3\sqrt{3}[/tex]

Step-by-step explanation:

Answer:

underoot 27....or 5.3(approx )or 3_/3

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

Write the equation of the function

Answers

4/1 is the slope so (-2-1/4=x)

What’s the sum in the diagram, a + b + c =

Answers

Answer:

Answer is 360 degrees

Step-by-step explanation:

The sum of the exterior angles of a triangle is 360°.

Answer: 360 degrees

Step-by-step explanation:

You know that in a triangle is 180 degrees. In the diagram, the figure shows a, b, and c, outside of the triangle. Also, the a, b, and c makes a circle. The circle is 360 degrees, so when you add a, b, and c that will equal 360.

Function g is the result of these transformations on the parent sine function:
-vertical stretch by a factor of 3
-horizontal shift left pi/2
-units vertical shift down 4 units
Below is the question from the Edmentum test :)

Answers

Answer:

g(x) = 3·sin(x + π/2) - 4

Step-by-step explanation:

The given (general form of a) sin function is g(x) = A·sin(x + C) + D

Where;

A = The amplitude (the vertical stretch) = 3

C = The phase shift, left = π/2

D = The vertical shift = 4 units down = -4

Therefore, given that in the parent function, we have f(x) = sin(x), by substituting the values of A, C, and D to complete the equation modeling the function g, we get;

g(x) = 3·sin(x + π/2) - 4


Someone help me out please

Answers

Answer:

142.5

Step-by-step explanation:

π×11²×135/360

= 363π/8

= 142.5 (rounded to the nearest tenth)

Answered by GAUTHMATH

how do you solve division easly​

Answers

Answer:

division involves 5 steps:

D Divide

M Multiply

S Subtract

B Bring down

R Repeat or Remainder

Step-by-step explanation: i hope it helped

Other Questions
Please help! i have no idea how to do this, all i know is it's the sine rule. it's due tomorrow so if you know how to do this please help haha Solve the equation: (1 - 2x)(1 - 3x)=(6x - 1)x - 1 Tarnopol Learning Services (TLS) offers tutoring to high school students, college students, and adults returning to school. TLS's major product offerings include academic tutoring, standardized test preparation, and admissions consulting. Demand for standardized test preparation, which accounts for the majority of TLS's revenues, peaks before the most popular test dates. Demand for admissions consulting peaks late in the year, just before application deadlines. Demand for tutoring services varies less than demand for other TLS services, but it is highest near the end of academic semesters. Staff shortages during these times have been a persistent problem. In response, TLS is considering whether to 1) recruit and train a greater number of temporary workers during peak demand times; or 2) partner with a tutoring and testing outsourcing firm that would provide services to TLS customers using the TLS brand. An executive at TLS believes that the best way to measure the number of extra employees that TLS needs is to estimate the number of extra employees each product category requires and then add all of those estimates together. Which of the following points out a flaw in this approach??A. The largest growth area for TLS is governmental contracts, which have buying procedures that are very different from those of other customers.B. TLS currently maintains separate accounting departments in each of its regions. C. To be effective, TLS managers need to be experts in at least one of the products that TLS sells. D. TLS hopes to build sustained relationships with customers, selling the same person academic tutoring standardized test preparation, and admissions consulting. E. Communication between different marketing departments in different regions has been substandard. Four major breakfast cereal companies share a majority of the cereal market: Kellogg, Post, General Mills, and Quaker. This is an example of subtract 111 from 11010 Heeeeeeelp please ;-; Evaluate-2 x 3/12 x 5/10 x 7/15 What to respond to I was having a bad day and u made it way better A student places a block on a table and hangs one mass from the block. The student lets the block go and observes the block accelerate toward the end of the table where the mass was located. The student then places the block on the table and hangs a second, larger mass from the opposite end of the block. The block accelerates in the opposite direction from the first trial. What does this experiment demonstrate? Answer: Which of the following is an acute triangle?7030*2445126132369045559 55Triangle ATriangle BTriangle CTriangle DA. Triangle BB. Triangle AOC. Triangle CO.D. Triangle D Answer please in order For 12-15, find the missing measures a significant part of a developing countys GDP can be tied up in? Pls help me with thisFreedom by Langston HughesFreedom will not comeToday, this yearNor everThrough compromise and fear.I have as much rightAs the other fellow hasTo standOn my two feetAnd own the land.I tire so of hearing people say,Let things take their course.Tomorrow is another day.I do not need my freedom when Im dead.I cannot live on tomorrows bread.FreedomIs a strong seedPlantedIn a great need.I live here, too.I want my freedomJust as you.How is the poem organized? Where do the shifts come? Diminishing marginal product suggests that Group of answer choices marginal cost is upward sloping. Adding additional workers will lower total cost. The firm is at full capacity. Additional units of output become less costly as more output is produced. Managers lead in a wide variety of situations and organizations and have various kinds of subordinates performing diverse tasks in a multiplicity of environmental contexts. Given the wide variety of situations in which leadership occurs, what makes a manager an effective leader in one situation (such as certain traits or behaviors) is not necessarily what that manager needs to be equally effective in a different situation. Contingency models of leadership take into account the situation or context within which leadership occurs. According to contingency models, whether or not a manager is an effective leader is the result of the interplay between what the manager is like, what he or she does, and the situation in which leadership takes place. An atom has 20 electrons. Find outi. Its atomic numbers and total number of p-electronsii. The value of azimuthal quantum number (l) and magnetic quantum number (m) of the 19th electron of the atom.iii. Its group position in the periodic table. An equation, f, has a domain of all whole numbers and has a range of all real numbers. A) Does the equationrepresent a function? B) Explain why or why not. C) provide examples in either case, (and include your reasoning whyyou chose this equation for your example.) I need at least two more sentences in regards with this assignment. Note the included photo. Please come up with two proper sentences following the assignments instructions. Ps. Dont try to steal points from this or you will be reported Missys rotation maps point K(17, 12) to K(12, 17). Which describes the rotation?270 degrees counterclockwise rotation90 degrees counterclockwise rotation90 degrees clockwise rotation 180 degrees rotation