5. What value of makes the statement true? cos e = sin( 0/3 -10)​

[tex] \tt : \implies \dfrac{x+2}{x-2} + \dfrac{x-2}{x+2} = \dfrac{5}{6}[/tex]

[tex] \tt : \implies \dfrac{(x+2)(x+2) + (x-2)(x-2)}{(x-2)(x+2)} = \dfrac{5}{6}[/tex]

[tex] \tt : \implies \dfrac{(x+2)^{2} + (x-2)^{2}}{(x-2)(x+2)} = \dfrac{5}{6}[/tex]

Now, we know that :

[tex] \tt : \implies \dfrac{x^{2}+2^{2}+ 2 \times x \times 2 + x^{2}+2^{2} - 2 \times x \times 2 }{x^{2}-2^{2}} = \dfrac{5}{6}[/tex]

[tex] \tt : \implies \dfrac{x^{2}+ 4 + \cancel{4x} + x^{2}+ 4 - \cancel{4x}}{x^{2}-4} = \dfrac{5}{6}[/tex]

[tex] \tt : \implies \dfrac{x^{2} + x^{2} + 4 + 4}{x^{2}-4} = \dfrac{5}{6}[/tex]

[tex] \tt : \implies \dfrac{2x^{2} + 8}{x^{2}-4} = \dfrac{5}{6}[/tex]

By cross multiply :

[tex] \tt : \implies (2x^{2} + 8)6= 5(x^{2}-4)[/tex]

[tex] \tt : \implies 12x^{2} + 48 = 5x^{2}-20[/tex]

[tex] \tt : \implies 12x^{2} + 48 - 5x^{2} + 20 = 0[/tex]

[tex] \tt : \implies 7x^{2} + 68 = 0[/tex]

[tex] \tt : \implies 7x^{2} + 0x + 68 = 0[/tex]

Now, by comparing with ax² + bx + c = 0, we have :

By using quadratic formula :

[tex] \large \underline{\boxed{\bf{x = \dfrac{-b \pm \sqrt{b^{2} - 4ac}}{2a}}}}[/tex]

[tex] \tt : \implies x = \dfrac{-(0) \pm \sqrt{(0)^{2} - 4(7)(68)}}{2(7)}[/tex]

[tex] \tt : \implies x = \dfrac{0 \pm \sqrt{0 - 1904}}{14}[/tex]

[tex] \tt : \implies x = \dfrac{\pm \sqrt{- 1904}}{14}[/tex]

[tex] \tt : \implies x = \dfrac{\pm \sqrt{2\times 2\times 2\times 2\times 7\times 17}}{14}[/tex]

[tex] \tt : \implies x = \dfrac{\pm \cancel{2} \times 2\sqrt{7\times 17}}{\cancel{14}}[/tex]

[tex] \tt : \implies x = \dfrac{\pm2\sqrt{119}}{7}[/tex]

[tex] \large \underline{\boxed{\bf{x = \dfrac{\pm 2\sqrt{119}}{7}}}}[/tex]

Hence value of [tex] \bf x =\dfrac{\pm 2\sqrt{119}}{7}[/tex]

Answer:

I think this answer is right if no tell me please :)

Answer:

$351.58

Step-by-step explanation:

According to the problem, calculation of given data are as follows,

Current balance = -$250.25

Other charge (debit) = $101.33

So, Now the current balance in the account are as follows,

Current balance = - $250.25 + (- $101.33)          (debit is negative)

Current balance = -$250.25 -$101.33

Current balance =  -$351.58

So, we need $351.58 to bring account balance to $0.

Answer:

It goes into 100356 290 times with a remainder of 16

Step-by-step explanation:

100356/346 = 290 R 16

Answer:

10x + 6y

Step-by-step explanation:

I know this because I got it right.

Answer:

B. 11 left, 11 up

Answer:

A

A

Step-by-step explanation:

Answer:

D and C

Step-by-step explanation:

D: 2x/2-6/2=-6

x-3=-6

x=-3

C:

4•7/x=2

28/x=2

28=2x

14=x

9514 1404 393

Answer:

  (a)  an = 2n -1

  (b)  an = n(n +1)/2

  (c)  an = n^2

Step-by-step explanation:

(a) The odd numbers are an arithmetic sequence with first term 1 and common difference 2. The general term is ...

  an = a1 +d(n -1)

  an = 1 + 2(n -1)

  an = 2n -1

__

(b) The triangular numbers are a quadratic sequence with first term 1, first first difference 2, and second differences 1.

The first few terms and differences are ...

  sequence: 1, 3, 6, 10, 15, 21, 28, ... (a1 = 1)

  first diff: . . . 2, 3, 4, 5, 6, 7, ... (d1 = 2)

  2nd diff: . . . . 1, 1, 1, 1, 1, ... (d2 = 1)

There is a sort of general formula* that can make use of these numbers to give the general term of the sequence:

  an = a1 +(n -1)(d1 +(n -2)/2(d2))

For the values we have, this gives our general term as ...

  an = 1 + (n -1)(2 +(n -2)/2(1))

  an = n(n +1)/2

__

(c) The general term in the sequence of square numbers is simply the square of the term number:

  an = n²

_____

* There are a number of other ways to get to the general formula for triangle numbers. You can search for it, since it is well-known. You can use a quadratic regression tool on the sequence of numbers. You can develop a system of equations to find the coefficients of the quadratic equation.

The general formula given can be used to find polynomial sequences of any degree. Coefficients at successive layers in the formula are of the form (n -k)/k. The first term in parentheses following that is the first k-th difference.

Given:

Faiz's total online shipping bill comes to £45.71.

He then receives discount of £15.90.

To find:

How much does he have to finally pay after the discount?

Solution:

We have,

Amount of bill = £45.71

Discount amount = £15.90

Now,

Final payment = Amount of bill - Discount amount

                        =  £45.71 - £15.90

                        = £29.81

Therefore, Faiz's have tp pay £29.81 after discount.

Step-by-step explanation:

Puede que si pero espera un poco para que ella se te confiese

Answer:

puede ser que si pero si no pasa nada entre dos meses dile lo que sientes por ella

Step-by-step explanation:

Answer:

The surface area of the rectangular prism.

Step-by-step explanation:

The formula for the surface area of a rectangular prism is SA = 2 (wl + hl + hw), which actually represents the areas of each of the faces.

SA = 2wl + 2hl + 2hw

We see that the SA is the sum of the areas of the faces on a rectangular prism. Look at a picture of a rectangular prism if you have trouble understanding this.

Answer:

b) 16.67%

Step-by-step explanation:

c) 1/5. Since there are a total of 6 x 6 = 36 outcomes, then the probability that the sum will be greater than 10 is 3/36 = 1/12.

Hope it will help you.

Answer:

The circumference of the CD is approximately 38 cm

Step-by-step explanation:

The circumference of the CD can be seen as the distance around the CD.

The word "circumference"  is used to describe the perimeter of circular objects.

To find an approximate value of the circumference of the CD, we will use this formula.

Circumference = π × diameter

let us take π to be = 3.142

∴ circumference = 3.142 × 12 = 37.6991 cm

we can round this up to teh nearest tenth as 38cm

Answer:

64 servings

Step-by-step explanation:

The computation is shown below:

As dog eats 8 ounces of dog food each day

And, he purchased 32 pound bag of dog food

We know that

1 pound = 16 ounces

So for 32 pounds, the ounces would be

= 16 ×32

= 512 ounces

So, the number of 8 ounces servings would be

= 512 ÷ 8

= 64 servings

Answer:

Answer:

64 servings

Step-by-step explanation:

The computation is shown below:

As a dog eats 8 ounces of dog food each day

And, he purchased a 32-pound bag of dog food

We know that

1 pound = 16 ounces

So for 32 pounds, the ounces would be

= 16 ×32

= 512 ounces

So, the number of 8 ounces servings would be

= 512 ÷ 8

= 64 servings

Answer:

4n And N4 are the same Answer.. yet both mean 4 times n

Answer:

See explanation below

Step-by-step explanation:

This is actually pretty easy to explain, and we all need to do is work with fractions.

So we have a recipe for chicken and rice, but the person decides to use 2/3 of the recipe. to determine the quantity of each ingredient to be used, we just need to multiply the cups of each ingredient by 2/3, and that's it.

Let's go with each ingredient, one by one:

Chicken broth 2 2/3 cups:

In this case, let's convert the 2 2/3 to a simple fraction. (We just multiply the denominator by the single number and then, sum the numerator)

2 2/3 = (3*2) + 2 / 3 = 8/3 of cups

8/3 * 2/3 = 16/9 cups of chicken.

But to do this better, let's convert this into a mix fraction:

16 : 9 = 1  and the rest is 7 so:

Chicken 1 1/2 cups:

We'll do the same thing as before:

1 1/2 = (2*1) + 1 / 2 = 3/2 of cups

3/2 * 2/3 = 1

3/4 cups or rice:

3/4 * 2/3 = 1/2

Hope this helps

Answer:

[tex]Solution,\\m<KJM +m<JML = 180^o [Sum~of~cointerior~angles~is~180^o.]\\or, 56^o +m<LJM +27^o+72^o = 180^o\\or, m<LJM +155^o=180^o\\or, m<LJM = 25^o[/tex]

JKLM is a parallelogram

=> JK // LM

=> KJM + LMJ = 180⁰

<=> 56⁰ + LJM + 72⁰ + 27⁰ = 180⁰

=> LJM = 180⁰ - 56⁰ - 72⁰ - 27⁰ = 25⁰

Answer:

6.40

Step-by-step explanation:

8 decreased by 20% is 6.40

Answer:

triangle A= 1/2bh

1/2(18)(14)= 126

semi circle 3.14(9)^2 divided by 2 = 127.17

Triangle Area plus semi circle Area = 126+127.17= 253.17

The point after which shape A is rotated 180 degrees is (-1, 0).

It is the movement of the shape in the left, right, up, and down directions.

The translated shape will have the same shape and shape.

There is a positive value when translated to the right and up.

There is a negative value when translated to the left and down.

We have,

Shape A is in the point (1, 0).

This means,

Shape A is in the First Quadrant.

Now,

Shape A is rotated 180 degrees.

If rotated clockwise or counterclockwise shape A will be in the same quadrant.

This means,

Shape A will be in the Third quadrant.

Now,

First quadrant coordinates = (x, y)

Third quadrant coordinates = (-x, -y)

So,

(x, y) → (-x, -y)

(1, 0) → (-1, 0)

Thus,

Shape A will be in (-2, 0).

Learn more about translation here:

https://brainly.com/question/12463306

#SPJ2

Answer:

1:9

Step-by-step explanation:

a=4 and b=36

4:36

Simplify it by dividing by 9

1:9

(it could also be 9 depending on what is a and b)

Answer:

5/12

Step-by-step explanation:

Mark him brain

Answer:

1/12

Step-by-step explanation:

Answer:

1584 cu in.

Step-by-step explanation:

Since the volume varies jointly with the radius and height we have an equation V = kr^2h where k is the constant of variation

28 = 2^2(7)k = 28k

k = 1

Now V = r^2h

V = (12)^2(11) = 144(11) = 1584 cu in.

Answer:

graph your welcome :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Each side must be less than the sum of the remaining two sides

{4,9,14} cannot be a triangle because 4+9 < 14

Answer:

do you know what x is ? cause then I may be able to help you