A geometric sequence grows

Explanation:

Use the identity [tex]\sin{\theta} = 1 - \cos^2{\theta}[/tex] so we can write our equation as

[tex]6(1 - \cos^2{\theta}) - \cos{\theta} - 5 = 0[/tex]

or

[tex]6\cos^2{\theta} + \cos{\theta} - 1 = 0[/tex]

Let [tex]x = \cos{\theta}[/tex] so our equation becomes

[tex]6x^2 + x - 1 = 0[/tex]

Using the quadratic equation, we find that its roots are

[tex]x = \dfrac{-1 \pm \sqrt{(1)^2 - 4(6)(-1)}}{2(6)} = \dfrac{1}{3},\:-\dfrac{1}{2}[/tex]

which gives us

[tex]\cos{\theta} = \dfrac{1}{3} \Rightarrow \theta = 70.53°[/tex]

[tex]\cos{\theta} = -\dfrac{1}{2} \Rightarrow \theta = 120°[/tex]

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[tex] - 3( - 2w + 3y - 6) \\ = 6w - 9y + 18[/tex]

I hope I helped you^_^

Hi there!  

»»————-　★　————-««

I believe your answer is:

[tex]6w-9y+18[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Simplifying the Expression...}}\\\\-3(-2w+3y-6)\\-------------\\\rightarrow -3 * -2w = 6w\\\\\rightarrow -3 * 3y = -9y\\\\\rightarrow -3 * -6 = 18\\\\\rightarrow -3(-2w+3y-6)= \boxed{6w-9y+18}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

0.17

Step-by-step explanation:

find the area of both circles:

then find the ration of the area of the small circle to the area of the large circle: 100pi/576pi (you can cancel out the pi here to get 100/576) -> 0.1736

round to the nearest hundredth and you get 0.17

Answer:

7725

Step-by-step explanation:

h=75ft

b1=125ft

b2=81ft

A=75((125+81)/2)

Answer:

x = 2

Step-by-step explanation:

x + 1.5 = 3.5

  -1.5      -1.5                   minus 1.5 from both sides

--------------------

x = 2

Answer: we might have come across different types of lines such as parallel lines, perpendicular lines, intersecting lines, and so on. Apart from that, we have another line called transversal.                                                                                    

This can be observed when a road crosses two or more roads or a railway line crosses several other lines. These give a basic idea of a transversal. Transversals play an important role in establishing whether two or more other lines in the Euclidean plane are parallel.

In this article, you will learn the definition of transversal line, angles made by the transversal with parallel and non-parallel lines with an example.  

SOOO in English its LM is the transversal made by the parallel lines PQ and RS such that:

The pair of corresponding angles that are represented with the same letters are equal.

If two parallel lines are cut by a transversal, each pair of alternate interior angles are equal. Transversal property 2

Ratios are used to show the relationships between 2 or more related variables.

Let

[tex]x \to[/tex] Shirts

[tex]y \to[/tex] Pair of jean

The given parameter can be represented as:

5 shirts = 2 pairs of jeans

Replace the terms with their variables

[tex]5x = 2y[/tex]

Represent as a ratio:

[tex]x : y = 5 : 2[/tex]

Hence, the ratio that compares the two quantities is: [tex]x : y = 5 : 2[/tex]

See attachment for the model that represents the two quantities

Learn more about ratios at:

https://brainly.com/question/13419413

Answer:

[tex]4 - \frac{1}{2}x = 12 [/tex]

I hope it helps

please mark me brainliest

Answer:

[tex]number = x \\ \frac{x}{2} - 4 = 12 \\ \frac{x}{2} = 12 + 4 = 16 \\ \frac{x}{2} = 16 \\ x = 16 \times 2 = 32[/tex]

Step-by-step explanation:

increase in price=275.50-250

=75 .50

now,in precent

( increase in price÷initial price )×100%

=(75.50÷250) ×100%

= 30.2%

Answer:

250×275.50

68,875

answer is 68,875

Answer:

(4,2)

Step-by-step explanation:

x+y=6 and x=y+2, sub the second equation in the first equation, y+2+y=6, y=2 and x=y+2=4

Answer:

in 1898 the Curies discovered two new radioactive elements: radium (named after the Latin word for ray) and polonium (named after Marie's home country, Poland).

Step-by-step explanation:

Radium

Polonium

Answer:

4.  3,52  - Tenths                

   0.352 - Hundredths

5.  65.09 - Ones

   7.005 - Thousandths

6.  753.4 - Tens

    0.051 -  Hundredths

Answer:

Inequality

2x > 14

Solution

x > 7

Step-by-step explanation:

Twice of a number = 2x or 2 * x

Is more than 14 = > 14

Put these 2 descriptions together

2x > 14

Then divide each side by the coefficient

2x / 2 = x > 14 / 2 = x > 7

Answer:

2x > 14

Any number above 7.

Step-by-step explanation:

"Twice a number (x) is more than 14." can be written as 2x > 14.

Breakdown:

2x > 14 for Twice a number (x) is more than 14.

2x > 14 for Twice a number (x) is more than 14.

2x > 14 for Twice a number (x) is more than 14.

The solution to the inequality is any number above 7.

Answer:

50 - (18+12)

Step-by-step explanation:

First write the sum of 18 and 12 in parenthesis. (18+12)

Then you  write 50 - in the beginning of the expression because the sum of (18+12) will be substracted "from"  50.

Answer:

7

Step-by-step explanation:

subtitue x=2 in given equation as:

y= 2(2)+3

y= 4+3

y=7

Answer:

x < -√3/2, x > √3/2, or -√1/2 < x < √1/2

Step-by-step explanation:

|1 - x^2| > 1/2

~Apply absolute value rule

​1 - x^2 < -1/2 or 1 - x^2 > 1/2

~Simplify

x < -√3/2, x > √3/2, or -√1/2 < x < √1/2

Best of Luck!

9514 1404 393

Answer:

  61.4

Step-by-step explanation:

The length of two semicircles of diameter 10 is the circumference of a circle of that diameter:

  C = πd = 10π ≈ 31.4

The perimeter includes that length plus the lengths of two straight sides that are 15 units each.

  P = 31.4 + 2×15

  P = 61.4 . . . . units

Hi

to solve you must transcrive every word in math terms correctly.

so let's first give a name to our mysterious number. As you know, in math we generally call unknown by letter. " X"

so let's now play the detective.

what do we know on " X" ?

we add 3 to X so we have : X+3

then we multiply by 5. so. ( X+3) *5 .

if we do that we have twice X , so 2X

so ( X+3) * 5 = 2 X

now that we have translatted our data in math term, let's unmask. " X"

( X+3) *5 = 2X

5*X +3*5 = 2X

5X +15 = 2X

5X-2X = -15

3X = -15

X = -15/3

X = -5

So is " -5" is our guy.

let's check it out to be sure .

-5 +3 = -2

-2*5 = -10

-10 is twice -5. so -5 is the correct answer.

Ps : some operation are commonly implied. if you do not. know how I could write some line in the calculus, dont hesitate to ask in comments.

There is no mysteries in math everything is done according to rules and can be explained. So don't hesitate !

Answer: 30, 45, 60, 75, 90

Step-by-step explanation: you will use multiples of 15 to find the answer. Detail given below:

1. if parking lot have 2 rows then 30 spaces

2. if parking lot have 3 rows then 45 spaces

3. if parking lot have 4 rows then 60 spaces

4. if parking lot have 5 rows then 75 spaces

5. if parking lot have 6 rows then 90 spaces

Answer:

32 cm²

Step-by-step explanation:

Area of rectangle

= length × breadth

= 8 cm × 4 cm

= 32 cm²

Answer:

between 15.5 and 16

Step-by-step explanation:

which std

Answer :

<LMN = 125°

<MPQ = 125°

Answer:

parallel: -1/2

perpendicular: 2

Step-by-step explanation:

lines that are parallel have the same slope because they never intersect

lines that perpendicular, have the opposite reciprocal slope.

y = mx + b

where m is the slope

y = -1/2x + 6

-1/2 is the slope.

the slope in the equation given: -1/2

the slope parallel to the line given : -1/2

the slope perpendicular : opposite reciprocal, so the opposite of -1/2 is 1/2 and the reciprocal of 1/2 is 2.

Answer:

225

Step-by-step explanation:

The sides of the small square is 5 m

There are 5 full shaded squares and 8 half squares

Shaded squares = fully shaded small squares + half squares

S = F + H

F = 5x5x5 = 125

H = 8/2 x 5² = 100

S = 100 + 125

S = 225

Answer:

the rational numbers is 3

Answer:

the number of the x is 5 and the number of the Y is 10

Step-by-step explanation:

school

Answer:

70%

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