This graph represents the distance a train traveled over a 20-hour time period. Approximately
how far has the train traveled after 1 hour? After 4 hours?
1: After 1 hour 50 miles, after 4 hours 150 miles
2: After 1 hour 20 miles, after 4 hours 100 miles
3: After 1 hour 25 miles, after 4 hours 100 miles
4:After 1 hour 25 miles, after 4 hours 150 miles

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:

100%

Step-by-step explanation:

Answer:

100 percent

Step-by-step explanation:

This is very easy. Try learning it yourself as when you'll grow the stuff you are learning now will be essential to your learning. Your future learning depends on it.

Answer:probably just mutiply all the numbers!

Step-by-step explanation:

Answer:

9.77 units

Step-by-step explanation:

full circle circumference = 2rπ = 2(16)(3.14) = 100.48

(35°/360°)(100.48) = 9.77 units

Answer:

its 7.5 pi

Step-by-step explanation:

The length of the arc of the particle circle is equal to  23.55 units

The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.

Given here the radius of the circle as 5 units thus the length of the arc which makes an angle of π-π/2=3π/2 is angle subtended at the centre times the radius of the circle

Arc length = 5×3π/2

                  = 15π/2

                  = 15×3.14 /2

                  = 23.55 units

Hence The length of the arc of the particle circle is equal to  23.55 units

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Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

x < -15*C (I can’t make the degrees sign on my iPad, so I put * instead).

3 Possible Answers:

-38*C

-26*C

-57*C

Step-by-step explanation:

Inequality:

x = temperature

< = less than

-15*C = the amount the temperature was less than

3 Possible Outcomes:

Because the temperature is less than -15*C, it can literally be any number that is farther down the number line. Because it’s a negative number, anything like -14, -13, -12, and so on would actually have a greater value (think of it as in being less in debtm or in this case, less below zero). Instead, you’ll do any number like -16, -17, -18, and so on. You can even do a decimal number, like -19.5. I hope this makes sense to you!

Answer:

16 is the median

Step-by-step explanation:

By definition, the median is the mid value or the middle number of a given data set

Firstly, we have to arrange the numbers in ascending or descending order

What we have as the count of the numbers here is 9

So the middle number is the 5th term counting from either sides

As we can see, the fifth term here is the number 16

Answer:

[tex]-8[/tex]

Step-by-step explanation:

Just take away parentheses.

Answer:

101.25 seconds.

Step-by-step explanation:

We know that Ed solved the puzzle 3/4 faster than Brett.

Then if Brett solved the puzzle in a time T, Ed solved the puzzle in a time (3/4)*T.

We know that Brett solved the puzzle in 135 seconds, then:

T = 135s

This means that Ed solved the puzzle in:

time = (3/4)*T = (3/4)*135s = 101.25 seconds.

Answer:

(-1, 3)

Step-by-step explanation:

replace the occurrences of y in the equation

(x + y = 2) with x + 4

x + x + 4 = 2

2x + 4 = 2

solving for x in the first equation

2x = 2 - 4

2x = -2

2x/2 = -2/2

x = -1

replacing all occurrences of x in y = x + 4 with -1

y = (-1) + 4

y = 3

therefore the pairs are (-1, 3)

Hope it helps!

Answer:

jus draw a m-f trapizod from googl-e

Step-by-step explanation:

Answer:

A. a regular trapezoid

B. they both have at least a pair of parallel sides

Step-by-step explanation:

Trapezoids have only one pair of parallel sides; parallelograms have two pairs of parallel sides. A trapezoid can never be a parallelogram.

Answer:

25%

Step-by-step explanation:

Answer:

270 cubic feet

Step-by-step explanation:

3 * 6 * 15 = 270 cubic feet

Answer:

i think its d

Step-by-step explanation:

i might be wrong tho

Answer:

I think its H.

Step-by-step explanation:

Answer:

J $52.14

Step-by-step explanation:

Have a Nice Day!

Answer:

3/16

Step-by-step explanation:

Answer:

3/4÷4=3/16 of a piece of pizza

Answer:

A

Step-by-step explanation:

because there's no charge for miles

Answer: y=4x-1

Step-by-step explanation: the line goes through (-2,7) and is perpendicular to the line x-4y =24

Answer:

2/6

Step-by-step explanation:

if you want to roll a 3 or a 4 and there are 6 possible outcomes then you have a 2 out of a six chance of rolling a 3 or 4

Answer:

the are of a rectangle is length x width

Answer:

D) (10,22)

Step-by-step explanation:

based on given slope and point, the linear equation is y = 9/5x + 2

plugging in x-and-y values only results in a true statement for option D

example:

22 = 9/5(10) + 2

Does 22 = 18 + 2?  Yes

Answer:

infinite solution

Step-by-step explanation:

because it is a linear equation.

Answer:

$145.38

Step-by-step explanation:

436.14-(1/3)(436.14)-(1/2)(436.14) = 145.38

The amount of money that Katherine left after considering all fractions will be $145.38.

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

The denominator of a fraction is the numerical value that comes before the brings together various.

It represents the number of pieces removed from the whole.

As per the given,

Initial amount = $436.14

1/3 of it is = (1/3)436.14 = $145.38

Since, she saved into a saving account so she left with,

$436.14 - $145.38 = $290.76

Now,1/2 of it will be,

(1/2)290.76 = $145.38.

Hence "The amount of money that Katherine left after considering all fractions will be $145.38".

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Answer:

68mm

Step-by-step explanation:

Answer:

63.585 mm2 is the area

28.26 is the circumference.

Hope this helps!