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3 years ago

Help ?? Anyone and how

Mathematics

1 answer:

ELEN [110]3 years ago

7 0

Answer:

just insert the x numbers in the calculation.. so for x = - 3 - > (- 3) / 2 +4 = 2.5

Step-by-step explanation:

x - 2 = y 3

and so on

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Sin 1 + sin 2 + sin3 .................+ sin 360 = ?

lesya [120]

Assuming that arcs are given in degrees, call S the following sum:

S = sin 1° + sin 2° + sin 3° + ... + sin 359° + sin 360°

Rearranging the terms, you can rewrite S as

S = [sin 1° + sin 359°] + [sin 2° + sin 358°] + ... + [sin 179° + sin 181°] + sin 180° +
+ sin 360°

S = [sin 1° + sin(360° – 1°)] + [sin 2° + sin(360° – 2°)] + ...+ [sin 179° + sin(360° – 179)°]
+ sin 180° + sin 360° (i)

But for any real k,

sin(360° – k) = – sin k

then,

S = [sin 1° – sin 1°] + [sin 2° – sin 2°] + ... + [sin 179° – sin 179°] + sin 180° + sin 360°

S = 0 + 0 + ... + 0 + 0 + 0 (... as sin 180° = sin 360° = 0)

S = 0

Each pair of terms in brackets cancel out themselves, so the sum equals zero.

∴ sin 1° + sin 2° + sin 3° + ... + sin 359° + sin 360° = 0 ✔

I hope this helps. =)

Tags: sum summatory trigonometric trig function sine sin trigonometry

4 0

3 years ago

2.) -6< -3; Divide both sides by-3.

svetoff [14.1K]

Answer:

-2 < -1

Step-by-step explanation:

-6 < -3

-6/3 < -3/3

-2 < -1

7 0

4 years ago

Type the correct answer in each blank. Use numerals instead of words. If necessary, use / for the fraction bar(s). John hosts an

Law Incorporation [45]

We know that John is hosting an art workshop on the weekends. He has an average of 14 students in each session and charges a fee of $12 per session. . He estimates that for every $2 increases in the fee, the average number of students reduces by 1.

Therefore, we can conclude that his revenue is $14 * 12$ or $168$ bucks.

The session price goes up in a pattern of 2.

For example, from 12 the session price goes to 14, 16, 18 and so on.

As each jumps goes by 2, the amount of students drop by 1.

(i.e from 14 students the number decreases to 13, to 12 and so on.)

As we can see the revenue begins at 168 and continues upward until it reaches 200 dollars and then starts to descend.

This indicates that the U-turn or vertex of the revenue function is approximately 4200, where h represents 4, and k is 200.

To solve we can use Parabola.

⇒ Parabola: any point is at an equivalent separation from:

a settled point (the concentration ), and

a settled straight line (the directrix )

____________________________________________________

$f (x) = a(x - h)^2 + k$ , where (h, k) is the vertex of the parabola.

⇒ $\left \{ {{y=192} \atop {x=2}} \right.$

⇒ $192 = a(2-4)^2+200$

⇒ $-8=a(-2)^2$

⇒ $-8=a*2^2$

⇒ $-8=a*4$

⇒ $-8=4a$

⇒ $-\frac{8}{4} = \alpha$

⇒ $\alpha = -2$

Now lets do the final step: Simplifying

$y-2(x-4)^2+200$ 

$y=-2(x^2-8x+16)+200$

$y=-2x^2+16x-32+200$

$c(x) = -2x^2+16x+168$

3 0

4 years ago

The ideal width of a safety belt strap for a certain automobile is 5 cm. An actual width can vary by at most 0.35 cm. Choose the

Finger [1]

$w=5 \pm 0.35
\\w-5=\pm0.35
\\|w-5|\leq 0.35
$

4 0

4 years ago

Compare. Use >, <, or = to complete the statement. | –10 | | 11 | A. > B. = C. <

mash [69]

Answer: |-10| < |11|

So choice C. is right.

hope this helps!

6 0

3 years ago

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