All categories

3 years ago

Find the value of y round your answer to the nearest tenth cos y y=8/13

Mathematics

2 answers:

Iteru [2.4K]3 years ago

7 0

8/13 = 0.6153

y = cos-1(0.6153)

y = 52.0

I'm not totally sure if this is what you mean or if this is.

y = cos(8/13) = 0.9999 which to the nearest tenth is 1.0

weqwewe [10]3 years ago

3 0

Answer:

52.0

Step-by-step explanation:

To solve this, we will perform the inverse cosine:

cos y = 8/13

cos⁻¹(cos y) = cos⁻¹(8/13)

y = 52.0

You might be interested in

What is the product of 2 + 3x and 1 – 4x ?

Alenkinab [10]

Think of it as (-4x+1)(3x+2) then distribute: -4x x 3x= -12x^2, -4x x 2= -8x, 1 x 3x = 3x, and 2 x 1=2. put together all the answers we just got so: -12x^2 - 8x +3x +2 then simplify to get -12x^2 -5x +2

3 0

2 years ago

Use the definition of Taylor series to find the Taylor series, centered at c, for the function. f(x) = sin x, c = 3π/4

anyanavicka [17]

Answer:

$\sin(x) = \sum\limit^{\infty}_{n = 0} \frac{1}{\sqrt 2}\frac{(-1)^{n(n+1)/2}}{n!}(x - \frac{3\pi}{4})^n$

Step-by-step explanation:

Given

$f(x) = \sin x\\$

$c = \frac{3\pi}{4}$

Required

Find the Taylor series

The Taylor series of a function is defines as:

$f(x) = f(c) + f'(c)(x -c) + \frac{f"(c)}{2!}(x-c)^2 + \frac{f"'(c)}{3!}(x-c)^3 + ........ + \frac{f*n(c)}{n!}(x-c)^n$

We have:

$c = \frac{3\pi}{4}$

$f(x) = \sin x\\$

$f(c) = \sin(c)$

$f(c) = \sin(\frac{3\pi}{4})$

This gives:

$f(c) = \frac{1}{\sqrt 2}$

We have:

$f(c) = \sin(\frac{3\pi}{4})$

Differentiate

$f'(c) = \cos(\frac{3\pi}{4})$

This gives:

$f'(c) = -\frac{1}{\sqrt 2}$

We have:

$f'(c) = \cos(\frac{3\pi}{4})$

Differentiate

$f"(c) = -\sin(\frac{3\pi}{4})$

This gives:

$f"(c) = -\frac{1}{\sqrt 2}$

We have:

$f"(c) = -\sin(\frac{3\pi}{4})$

Differentiate

$f"'(c) = -\cos(\frac{3\pi}{4})$

This gives:

$f"'(c) = - * -\frac{1}{\sqrt 2}$

$f"'(c) = \frac{1}{\sqrt 2}$

So, we have:

$f(c) = \frac{1}{\sqrt 2}$

$f'(c) = -\frac{1}{\sqrt 2}$

$f"(c) = -\frac{1}{\sqrt 2}$

$f"'(c) = \frac{1}{\sqrt 2}$

$f(x) = f(c) + f'(c)(x -c) + \frac{f"(c)}{2!}(x-c)^2 + \frac{f"'(c)}{3!}(x-c)^3 + ........ + \frac{f*n(c)}{n!}(x-c)^n$

becomes

$f(x) = \frac{1}{\sqrt 2} - \frac{1}{\sqrt 2}(x - \frac{3\pi}{4}) -\frac{1/\sqrt 2}{2!}(x - \frac{3\pi}{4})^2 +\frac{1/\sqrt 2}{3!}(x - \frac{3\pi}{4})^3 + ... +\frac{f^n(c)}{n!}(x - \frac{3\pi}{4})^n$

Rewrite as:

$f(x) = \frac{1}{\sqrt 2} + \frac{(-1)}{\sqrt 2}(x - \frac{3\pi}{4}) +\frac{(-1)/\sqrt 2}{2!}(x - \frac{3\pi}{4})^2 +\frac{(-1)^2/\sqrt 2}{3!}(x - \frac{3\pi}{4})^3 + ... +\frac{f^n(c)}{n!}(x - \frac{3\pi}{4})^n$

Generally, the expression becomes

$f(x) = \sum\limit^{\infty}_{n = 0} \frac{1}{\sqrt 2}\frac{(-1)^{n(n+1)/2}}{n!}(x - \frac{3\pi}{4})^n$

Hence:

$\sin(x) = \sum\limit^{\infty}_{n = 0} \frac{1}{\sqrt 2}\frac{(-1)^{n(n+1)/2}}{n!}(x - \frac{3\pi}{4})^n$

3 0

2 years ago

ill in the missing numbers along the sides of the triangle so that it contains each of the numbers from through exactly once.

mihalych1998 [28]

Each side of the triangle should contain four numbers whose sum is 28.

3+5+9+11=28

3+10+8+7=28

11+6+9+7=28

The pain of numbers that can be used for A and B is [5,9] The pain of numbers that can be used for C and D is [10,8] and the pain of numbers that can be used for E and f is [6,4].

<h3>What are the 3 sides of a triangle?</h3>

The hypotenuse of a right triangle is its longest side; its "opposite" side is the one that faces the angle in question; and its "adjacent" side is the one that faces it. We use special terminology to define the sides of right triangles.

We use special terminology to define the sides of right triangles.

The side opposite the right angle is always the hypotenuse of a right triangle. It is the longest side in a right triangle.

The opposing and neighboring sides are the other two sides. The labels on these sides relate to an angle.

One side is across from another at a particular angle.

To learn more about sides of a triangle visit:

brainly.com/question/9449776

#SPJ4

5 0

1 year ago

Help please <3 (easy)

masya89 [10]

Answer:

42 degrees

Step-by-step explanation:

92 - 50 = x

42 degrees = x

5 0

3 years ago

If you can do all three questions I’ll mark you brainlest!! Thanks <3

Verdich [7]

Answer:

1. Rate needed 9/6; Unit rate is 1.5/1; 1.5 cans of white paint are needed for each can of blue.

2. rate needed = 12/6; unit rate = 2/1; Need 2 cups of water for every scoop of fruit mix.

3. 70 minutes

Step-by-step explanation:

1. Set up a ratio

3white/2blue = xwhite/6blue

3/2 = x/6

cross multiply 2x = 18; x = 9

rate needed = 9/6

Unit rate is 1.5/1 (divide 3 by 2 or 9 by 6 to get unit rate_

2. 3/1.5 = x/6

1.5x = 18; x = 12

rate needed = 12/6

unit rate = 2/1

3. Set up a ratio.

3.5/.25 ( 1/4=.25)

3.5/.25 = x/5

.25x = 3.5(5)

.25x = 17.5

x = 70 minutes

5 0

2 years ago

Read 2 more answers