can someone please help me with this?

Answer:

B. 3^(2/3)

Step-by-step explanation:

Quick answer, without using series: sin(4π/5) must be positive since 0 < 4π/5 < π. So C is the only possible choice.

Longer, proper answer:

The first five terms in the series expansion of sin(x) are

sin(x) ≈ x - x ³/3! + x ⁵/5! - x ⁷/7! + x ⁹/9!

Now let x = 4π/5:

sin(4π/5) ≈ 0.5884

so again the answer must be C.

Trigonometric series :  A mathematical series whose terms proceed by sine and cosines of integral multiples of a variable angle.

Option c is correct.

First five term of Trigonometric series of sin is shown below,

   [tex]sin x=x-\frac{x^{3}}{3!}+\frac{x^{5}}{5!}-\frac{x^{7}}{7!}+\frac{x^{9}}{9!}-......[/tex]

substitute x = [tex]\frac{4\pi }{5}[/tex]

  [tex]sin \frac{4\pi }{5}=\frac{4\pi }{5}-\frac{(\frac{4\pi }{5})^{3}}{3!}+\frac{(\frac{4\pi }{5})^{5}}{5!}-\frac{(\frac{4\pi }{5})^{7}}{7!}+\frac{(\frac{4\pi }{5})^{9}}{9!}-......[/tex]

After solving,

We get, approximation value of    [tex]sin\frac{4\pi }{5}=0.5884[/tex]

Now find , actual value

              [tex]sin\frac{4\pi }{5}=0.5878[/tex]

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Answer:

The correct answer is B: On the y-axis, 1 tick mark represents 0.4 unit.

Answer:

0

Step-by-step explanation:

The cotangent function is defined as cot x = adj / opp.

The terminal side of 270 degrees is the lower half of the y-axis.  The adj side is zero (0) and the opp side is -1;

Therefore, cot (-270 degrees) = adj / opp = 0/(-1) = 0

The required answer is cot(-270°) is undefined

Given that cot(-270°).

To evaluate cot(-270°) without a calculator, use the trigonometric properties and definitions.

First, let's recall the definition of the cotangent function. The cotangent of an angle is defined as the ratio of the adjacent side to the opposite side in a right triangle.

cot(theta) = adjacent side / perpendicular

When we consider -θ, it represents a reflection or rotation of θ about the origin. This reflection does not affect the ratio of the adjacent side to the opposite side in a right triangle.

Thus, cot(-θ) = cot(θ).

In this case, dealing with an angle of -270°. Since angles can be measured counterclockwise, -270° represents a rotation of 270° clockwise from the positive x-axis.

At -270°, the terminal side of the angle lies on the negative y-axis.

cot(-270°) = cot(270°)

Since 360° - 270° equals 90°, cot(360° - 270°) = cot (90°)

At 90°, the terminal side of the angle lies on the positive y-axis.

In a right triangle formed with the terminal side of the angle, the adjacent side and the opposite side are both zero.

Since the cotangent is the ratio of the adjacent side to the opposite side, and both sides are zero in this case, the cotangent of -270° is undefined or "not defined."

Therefore, cot(-270°) is undefined.

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Answer:

From (0,0) and go down 1 and put a dot then down 4 and over to the right 1 and draw a line.

Step-by-step explanation:

Hope this helps have a nice day!

Answer:

the answer is D.

Step-by-step explanation:

well, the y-intercept for f(x) is at  

as you can see from the slope-intercept form is at 4, and it has an slope of 2/3.

for g(x), well an y-intercept is when x = 0, what is it from that table?  well, is at 0,3, so when x = 0, y = 3, so no dice on that one.

c)

whenever an x-intercept occurs, y = 0, for f(x) that's at  

what about the x-intercept for g(x)?  well, let's check, when is y = 0?  aha!  at -9, 0, so when y = 0, x = -9, so no dice on that one either.

d)

well, what is the slope of g(x) anyway?  well, let's pick two points off the table to get it hmmm the first two let's use,

and from a), using the slope-intercept form, we know f(x) has a slope of 2/3.

well, 2/3 is larger than 1/3, so no dice.

b)

well, you already know.

Answer:

[tex]A=339.42\ cm^2[/tex]

Step-by-step explanation:

The diameter of the roll of paper, d = 4.5 cm

Radius, r = 2.25 cm

Height of the roll of papaer, h = 24 cm

We need to find how much is needed to make the inner tube for a roll of paper. The surface area of a cylinder for inner tube is given by :

[tex]A=2\pi r h\\\\=2\times \dfrac{22}{7}\times 2.25\times 24\\\\=339.42\ cm^2[/tex]

So, the required area is [tex]339.42\ cm^2[/tex].

HERE I FOUND IT

Find the LENGTH of Arc AB.

Answer:

40

Step-by-step explanation:

[tex] \frac{35x - 2 - 93}{2} = 7x + 5[/tex]

[tex] \frac{35x - 95}{2 } = 7x + 5[/tex]

[tex]17.5x - 47.5 = 7x + 5[/tex]

[tex]17.5x = 7x + 52.5[/tex]

[tex]10.5x = 52.5[/tex]

[tex]x = 5[/tex]

Plug 5 in for 7x+5.

[tex]7(5) + 5 = 40[/tex]

Answer:

D

Step-by-step explanation:

8x60=480

480÷3=160

160x4=640

640 is 10 Minutes 40 Seconds

6 Miles is 24 Laps

640x6=3840

3840÷60=64

The Answer Will be 64 Minutes.

Answer:y=7 is the equation of a line. The line has a y-value of 7 no matter what x-value is given.

Step-by-step explanation:

Answer:

any equation that has -5x +/- any number

Step-by-step explanation:

All you have to do to create an equation that is parallel is keep the slope the same but change its be value. (y = mx + b) <---- keep the mx the same

Answer:

this year is 2021

Step-by-step explanation:

Answer:

What are the answer choices?

Step-by-step explanation: ??

A real world example where repetition is allowed is in the sport of archery, where players get multiple attempts to shoot an arrow as close to the center of the target as possible

Answer:

Breakeven is often used in finance, it means the point of reaching a balance.

Step-by-step explanation:

Answer:

n+5

Step-by-step explanation:

This is according to the commutative property of addition. 5+n is n+5 written backwards.

Answer:

hope this help you a lot but it's too late

can you mark me as brainlist

Answer:

if i am not mistaking it got to be c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

First you subtract 325 from 75 then divide the answer by 10

Answer:

2' 11'

Step-by-step explanation:

Answer:

1.83333333333

Step-by-step explanation:

i dunno if these were supposed to be fractions

Answer:

1 is 15

2  the formula of a  trapizod and the are is 35

Step-by-step explanation:

A=a+b2h=2+5 2·10=35

have a good day/night

may i please have a branlliest

Answer:

1) 15

2) formula is y=1/2(5+2)10, area is 35 square miles

Step-by-step explanation:

Answer:

16,872

Step-by-step explanation:

Answer:

The answer is 2

Step-by-step explanation:

First you need to calculate how far away each data point is from the mean using positive distances. These are called absolute deviations. All of the points add up to 10. Then you divide that number by how many points there are which is 5 and you get 2.

Hope that helps. =)

Answer:

the answer is 2

Step-by-step explanation:

hoped I helped

slope: -1/4

y-int: -1

y=(-1/4)x-1

Answer:

541/2 square

Step-by-step explanation:

What is the volume of the box if it is scaled down by a factor of 1/10

we know that

the volume of the smaller box=[scale factor]³*volume original box

scale factor=1/10

volume original box=5,120 cm³

so

volume of the smaller box=[1/10]³*5,120-----> 5.12 cm³

the answer part 6) is

5.12 cm³

Answer:

2187

Step-by-step explanation:

[tex]3^{6}[/tex] × 3

729 × 3

2187

Answer:

l maooooooo but ill help

its 2187

Step-by-step explanation:

use pemdas ( parenthasis, exponents, multiplication, division, add, subtract) and do 3^6 first

3x3x3x3x3x3=9x9x9=81x9=729

729x3=2187

Answer: 0.02

Step-by-step explanation:

OpenStudy (judygreeneyes):

Hi - If you are working on this kind of problem, you probably know the formula for the probability of a union of two events. Let's call working part time Event A, and let's call working 5 days a week Event B. Let's look at the information we are given. We are told that 14 people work part time, so that is P(A) = 14/100 - 0.14 . We are told that 80 employees work 5 days a week, so P(B) = 80/100 = .80 . We are given the union (there are 92 employees who work either one or the other), which is the union, P(A U B) = 92/100 = .92 .. The question is asking for the probability of someone working both part time and fll time, which is the intersection of events A and B, or P(A and B). If you recall the formula for the probability of the union, it is

P(A U B) = P(A) +P(B) - P(A and B).

The problem has given us each of these pieces except the intersection, so we can solve for it,

If you plug in P(A U B) = 0.92 and P(A) = 0.14, and P(B) = 0.80, you can solve for P(A and B), which will give you the answer.

I hope this helps you.

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Answer:

The probability that a randomly selected employee works both part time and 5 days each week is 0.02

Step-by-step explanation:

What is probability?

Probability is a branch of math which deals with finding out the likelihood of the occurrence of an event.

The total employees =100

Let A= Employees who work part time = 14

and B = Employees who work 5 days each week = 80

Then, A∪B= 92

We have to find, P(A∩B)

P(A∪B)=P(A)+P(B)-P(A∩B)

[tex]\frac{92}{100}=\frac{14}{100}+\frac{80}{100}-[/tex]P(A∩B)

0.92=0.14+0.8-P(A∩B)

0.92=0.94-P(A∩B)

P(A∩B)=0.02

Hence, the probability that a randomly selected employee works both part time and 5 days each week is 0.02.

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