Find all points on the curve y = cos x, 0 ≤ x ≤ 2π, where the tangent line is parallel to the line y = -x.

Answers

Answer 1

Answer:

90⁰

Step-by-step explanation:

y=cosx

y'= -sinx

eqñ of tangent is y=-x

slope of tangent =-1

we know...

slope of tangent = y' or derivative of y

-sin x = -1

sin x= 1

x = 90⁰


Related Questions

WILL GIVE BRAINLIEST

Which expression correctly represents "nine less than the quotient of a number and four, increased by three”?

A. N/4 - 9 + 3
B. 4/N - 9 + 3
C. 9 - n/4 + 3
D. 9 - 4/n + 3

Answers

Answer:

c

a fraction bar Is just a division bar, it's c.

3 time the sum of a number and 5 ​

Answers

the equation would be 3(x + 5)

Answer:

3(x+5) is the answer.

John bought a crate of floor tiles $100. The crate had 5 boxes of floor tiles. Each box contained 40 floor tiles. What is the cost per tile ?

Answers

$0.50.
There are a total of 200 tiles (5 x 40)
since John paid $100 for the 200 tiles,
We have to do $100 divided by 200.
Which is .5
So $.50
Each tile would be 50 cents explanation: 40 multiplied by 5 is 200, 100 dollars divided by 200 tiles equals out to be 50 cents a piece :)

A 30-foot long escalator forms a 41° angle at the second floor. Which is the closest height of th
141
30 feet
A 20 feet
B. 22.5 feet
C. 24.5 feet
D. 26 feet

Answers

Answer:

[tex]\huge\boxed{\text{B) } 22.5 \ \text{feet}}[/tex]

Step-by-step explanation:

We can use basic trigonometric functions to find the closest height of the escalator.

Let's set up a picture from what we already know. The length of the escalator is 30 feet, and it forms a 41 degree angle with the top. Since it will form a 90 degree angle with the ground, we can find the angle between the ground and the beginning of the escalator.

Since all triangles have an angle sum of 180:

[tex]90+41+x=180[/tex] [tex]131+x=180[/tex] [tex]x = 180-131[/tex] [tex]x=49[/tex]

Now we know that the triangle looks something like this.

                   /  | 41°

                 /    |

               /      |

            /         |

30      /           |

       /              |                                                

     /                |

  /                   |

/__________| 90°

49°

We need to find the length of the side between the 41 and 90° angle.

To find which trigonometric operation to use on this triangle, we can use the acronym SOH CAH TOA.

Sine = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tangent = Opposite / Adjacent

We can use the sine of the 49 degree angle (opposite / hypotenuse) to find our missing side (since we know the hypotenuse).

Let's set up an equation and solve with our calculator.

[tex]\text{sin}(49) = \frac{\text{opposite}}{\text{hypotenuse}}[/tex] [tex]\text{sin}(49) = \frac{x}{\text{30}}[/tex] [tex]30 \cdot \text{sin}(49) = x[/tex]

We can calculate the sine of 49 with our calculator. We'd end up multiply 30 and that value and get 22.6.

Since the closest value to 22.6 on the answer choices is 22.5, the correct answer would be B) 22.5 feet.

Hope this helped!

Answer:

The answer is B.

Step-by-step explanation:

B. 22.5 feet

Im giving 30 points pls help

Answers

Step-by-step explanation:

Pathagory and Theorem

a^2+b^2=c^2

(x-3)^2+(x-4)^2=6^2

expand:

2x^2-14x+25=36

2x^2-14x-11=0

x=(\sqrt{71}+7)/2

perimeter=(x-3)+(x-4)+6=2x-1

insert the value for x into 2x-1

[tex]\sqrt{71}[/tex]+6=perimeter

Hope that helps :)

9514 1404 393

Answer:

  2x -1

Step-by-step explanation:

The perimeter is the sum of the side lengths.

  P = 6 + (x -4) + (x -3)

  P = 2x -1 . . . . . . collect terms

The perimeter is 2x -1.

_____

Additional comment

There is nothing in the problem statement that suggests this is a right triangle. Without knowing at least one angle, we cannot solve for a numerical value for the perimeter. The problem title suggests we're to leave the result in polynomial form.

You have a cup containing 4 green skittles, 5 red skittles, 7 yellow skittles, and 10 purple skittles. What is the probability of not pulling a purple skittle?

Answers

Answer:

about 62%

Step-by-step explanation:

add all of the numbers

subtract the number of purple skittles

do 16÷26

multiply your answer by 100

get 61.5

round up

Carter, Michelle, and Jen work at a coffee shop. All three of them worked 6 hours on Monday. Michelle and Jen worked 7 hours on Tuesday. On Wednesday, Carter worked 5 hours. On Thursday, Carter and Michelle worked 4 hours, and Jen worked 8 hours. Use a matrix to organize the number of hours all three employees worked Monday through Thursday.

please help, i will give brainliest!! <3

Answers

Sorry i dont know what a matrix is but the answer to all 3 of the workers time is, 66

$7,000 is invested in an account that earns 1.5% annual interest, compounded quarterly. What is the value of the account after 18 years?

Answers

Answer:

$9,151.38

Hopefully that is correct!!

Lucas deposits $4,000.00 for 6 years at 2% interest, compounded monthly. How much interest does he earn at the end of the 6 years? Round to the nearest cent. SHOW THE WORK PLEASE​

Answers

Answer:

$12644.56

Step-by-step explanation:

one year = 12 month

4,000 * (1.02)^(6*12) = 16644.5615

16644.5615-4000 = 12644.5615

Answer:

Step-by-step explanation:

[tex]A=P(1+r/c)^{ct}\\ \\ A=4000(1+.02/12)^{12(6)}\\ \\ A\approx \$ 4509.54[/tex]

URGENT PLEASE HELP!!!! GIVING BRAINLIEST!! If you answer this correctly ill answer some of your questions you have posted! (39pts)

Answers

Answer:

Here is the answer I solved.


Find the domain of the graphed function

Answers

Answer:

D.   2 ≤ x ≤ 5

Step-by-step explanation:

Notice that there are no points on the graph for x ≤ 2 and x ≥ 5.  Or another way to look at it is that the x's are between 2 and 5, inclusive.

The domain is the set of possible x values.  Therefore,  2 ≤ x ≤ 5 is the set of  values for the domain

cómo se clasifican los huesos del esqueleto humano​

Answers

1) How the bones of the human skeleton are classified

The bones of the body come in a variety of sizes and shapes. The four principal types of bones are long, short, flat and irregular. Bones that are longer than they are wide are called long bones. They consist of a long shaft with two bulky ends or extremities.

1.0) In spanish

Los huesos del cuerpo tienen una variedad de tamaños y formas. Los cuatro tipos principales de huesos son largos, cortos, planos e irregulares. Los huesos que son más largos que anchos se llaman huesos largos. Consisten en un eje largo con dos extremos o extremidades voluminosas.

If i'm  wrong please tell me

he cost of 7 toys is AED 294. Find the cost of 5 toys. (Unitary method)

Answers

First we divide 294/7 = 42 then we got the price of 1 toy. We multiply it by 5. 5x42= 210 is the answer

PLS HELP I NEED IT ASAP ILL MARK BRAINLIEST

Answers

Answer:

Earth : Moon

1 : 27

Step-by-step explanation:

24 hrs = 1 day

so the ratio is up there

Hope I helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

Find the length of the third side. If necessary, write in simplest radical form 8 5​

Answers

Answer: c = [tex]\sqrt{89}[/tex]

8² + 5² = c²

64 + 25 = c²

[tex]\sqrt{89}[/tex] = [tex]\sqrt{c^{2} }[/tex]

[tex]\sqrt{89}[/tex] = c

The length of the third side is 9.4.

What is the Pythagorean theorem?

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

Applying Pythagorean theorem.

Third side = x

x² = 8² + 5²

8 x 8 = 64 and 5 x 5 = 25

So,

x² = 64 + 25

x² = 89

x = √89
x = 9.4333

Rounding to the nearest tenth

x = 9.4

Thus,

The length of the third side is 9.4.

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ2

There are 20 students in a math class. Thirty percent of the
students are randomly chosen to participate in a teacher
evaluation. How many combinations of students are possible?

Answers

Answer:

Step-by-step explanation:

20% of 30 is 6 are randomly selected.

30 choose 6 = 30! / (30-6)! 6!

                 = 30! / 24!6!

                 = 30 * 29 * 28 * 27 * 26 * 25

                   --------------------------------- <-- 24! cancels

                    6 * 5 * 4 * 3 * 2 * 1

                 = 29 * 28 * 27 * 26 * 25

                  ---------------------------------- <--- 30 = 6 * 5 cancels

                      4 * 3 * 2 * 1

                = 29 * 7 * 9 * 13 * 25   <--  4 cancels 28, 3 cancels 27, 2 cancels 26

               = 593775

)) Evaluate the expression for b = 7.
11b - 75 =

Answers

Answer:

The answer is 2.

Step-by-step explanation:

11(7) - 75

77-75

=2

I need help on this slope interception

Answers

Answer:

Step-by-step explanation:

           0           -3               y intercept is -3 when x is 0

            x           y

    -1     1              0   -3      subtract 1 for x   and  3 for y

          2             3

          3             6

          4             9

x only increase by ones        y increases by threes

so the slope is   y/x   which means     3/1    up three, 1 to the right

y=mx+b

y = 3x-3

plz help me with this math question

Answers

Answer:

8^2-60 ,   11^1   , 2^2x5

Step-by-step explanation:

2^2= 4

4 x 5 = 20

11^1= 11

8^2= 64

64-60 = 4

Use the graph shown above to find the
equation of the line passing through the point
in slope-intercept form

Answers

Answer:

You do not

have graph, child.

Plan help with one I really need it

Answers

Answer:

Step-by-step explanation:

1) Area of garden = side * side

                             = 10* 10

                             = 100 Sq.m

2) Area of each flowerbed = 1*1 = 1 sqm

3)  Area of 4 flowerbed = 1 * 4 = 4 sqm

 Area of the remaining garden = Area of garden - area of 4 flower bed

                                                    = 100 - 4

                                                    = 96 sq.m

4) Length of the fence = 4 *side

                                      = 4 * 10 = 40 m

5)  Cost of planting in the remaining garden = 96 * 20

                                                                          = ₹ 1920

Find the percent of change. Round your answer to the nearest tent necessary, Please explain.

Original price: $185
New price: $160

Original number of students: 56
New number of students: 77

Answers

Answer:

No answer just clues

Step-by-step explanation:

x/100*160/1=185/1

y/100*56/1=77/1

I just can't do anymore metal math today, sorry.

What is another word for zeros?
1. roots
2. axis of symmetry
3.vertex
4. y-intercept

Answers

Answer:

I think it's vertex bestie not sure tho lmk if it's wrong

A deli offers bag lunches with 2 bread choices and 3 meat choices, as shown in this tree diagram.
What is the probability that someone will randomly choose a turkey sandwich?
A) 2/3
B) 1/2
C) 1/6
D) 1/3

Answers

1/3 its one option of turkey 1 and /two others being ham and tuna 1/3

Answer: 1/3

Step-by-step explanation:

Part B
What is the density of the plne log? Show your work.


Answers

Answer:

Please Provide the an attachment.Then i can show u my answer

Find the values of x and y. y=? x=? PLEASE HELP

Answers

Answer:

x=15.714

y=5.715

Step-by-step explanation:

Answer:

x=10, y=20

Step-by-step explanation:

okay so to find x, or the way I did it, we just have to look at the top, we know one line is 180 degrees, and we see three angles, 7x,90, and 20

so 90+20+7x=180

and:110+7x=180

therefore: 7x=70

and finally: x=10

To find y also isn't had if we just look at the blue and green lines we see they are intersecting and opposite angles in intersecting lines are congruent meaning they are the same. So we now know that:

5x+2y=90

and we know x=10

so 5x=50

meaning that: 50+2y=90

therefore: 2y=40

and in conclusion y=20

Amir buys a new car for £16470. The value of the car will depreciate by 2% each year. Work out how much amir's car will cost after 23 years

Answers

Answer:

Amir's car will cost £10348.88 after 23 years.

Step-by-step explanation:

I finally found a UK human!

This is compound interest so you have to find a decimal multiplier and multiply that with £16470 to the power of 23.

The decimal multiplier would be 0.98. This is because you do 100% - 2% as depreciating basically means a decrease, which gives you 98% and then you divide that by 100 to get your decimal multiplier - 0.98.

16470 × [tex]0.98^{23}[/tex] = £10348.88

I hope that helps you!! ^-^

I really need to know this answer! Please help

Answers

Answer:

Area of rectangle = 54

Area of triangle= 18

Total area = 72

Step-by-step explanation:

Area of rectangle = length × width

= 9 × 6

= 54

Area of a triangle = [tex]\frac{1}{2}[/tex] × base × height

[ Height of the triangle = 10 - 6 = 4 ]

Area of a triangle = [tex]\frac{1}{2}[/tex] × 9 × 4

= 18

Total area = Area of rectangle + Area of triangle

= 54 + 18

= 72

[ The unit should be: [tex]cm^{2}[/tex] or [tex]m^{2}[/tex] etc.; it should have the 'square'. ]  

Please help ASAP Gavin works as a salesperson at an electronics store and sells phones and phone accessories. Gavin earns a $12 commission for every phone he sells and a $3.50 commission for every accessory he sells. On a given day, Gavin made a total of $135 in commission and sold 12 more accessories than phones. Determine the number of phones sold and the number of accessories sold.

There were
____phones sold and
____ accessories sold.

Answers

Answer:

6 phones and 18 accessories

Step-by-step explanation:

12P + 3.50A = 135

A = 12 + P

12P + 3.50(12 + P) = 135,

12P + 42 +3.50P = 135

15.50P = 93

P = 6 phones

A = 12 + 6 = 18 accessories

What are the values of x in the quadratic equation below? Select two options. ( x − 2 ) ( x + 4 ) = 0

Answers

The two options are

x = -4

x = 2
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