Solve for x.
x = [?]
2x + 9
8x + 1

Answer:

[tex]\sqrt{9x^2+36} = 6 \csc(\theta)[/tex]

Step-by-step explanation:

Given

[tex]\frac{x}{2}=\cot(\theta)[/tex]

Required

Express [tex]\sqrt{9x^2+36}[/tex] as trigonometry expression

[tex]\sqrt{9x^2+36}[/tex]

Factorize

[tex]\sqrt{9x^2+36} = \sqrt{9(x^2+4)}[/tex]

Split

[tex]\sqrt{9x^2+36} = \sqrt{9} * \sqrt{(x^2+4)}[/tex]

[tex]\sqrt{9x^2+36} = 3 * \sqrt{(x^2+4)}[/tex]

[tex]\sqrt{9x^2+36} = 3\sqrt{(x^2+4)}[/tex]

We have:

[tex]\frac{x}{2}=\cot(\theta)[/tex]

Make x the subject

[tex]x = 2 \cot(\theta)[/tex]

So:

[tex]\sqrt{9x^2+36} = 3\sqrt{(x^2+4)}[/tex]

[tex]\sqrt{9x^2+36} = 3\sqrt{((2 \cot(\theta))^2+4)}[/tex]

Evaluate all squares

[tex]\sqrt{9x^2+36} = 3\sqrt{4\cot^2(\theta)+4}[/tex]

Factorize

[tex]\sqrt{9x^2+36} = 3\sqrt{4(\cot^2(\theta)+1)}[/tex]

Split

[tex]\sqrt{9x^2+36} = 3\sqrt{4} * \sqrt{\cot^2(\theta)+1}[/tex]

[tex]\sqrt{9x^2+36} = 3*2 * \sqrt{\cot^2(\theta)+1}[/tex]

[tex]\sqrt{9x^2+36} = 6 * \sqrt{\cot^2(\theta)+1}[/tex]

In trigonometry

[tex]\cot^2(\theta)+1 = \csc^2(\theta)[/tex]

So, we have:

[tex]\sqrt{9x^2+36} = 6 * \sqrt{\csc^2(\theta)}[/tex]

Evaluate the square root

[tex]\sqrt{9x^2+36} = 6 * \csc(\theta)[/tex]

[tex]\sqrt{9x^2+36} = 6 \csc(\theta)[/tex]

9514 1404 393

Answer:

  5.1 cm²

Step-by-step explanation:

The area of a segment is given by the formula ...

  A = 1/2r²(α -sin(α)) . . . . . where α is the central angle in radians

For this segment, its area is ...

  A = 1/2(6 cm)²(7π/18 -sin(70°)) ≈ 5.077 cm²

The area of the segment is about 5.1 square centimeters.

_____

The angle is converted to radians by multiplying by π/180°. Then a 70° angle is π(70°/180°) = 7π/18 radians.

Answer:

KL = 9

Step-by-step explanation:

(7 + x - 1)(x - 1) = 12²

(x + 6)(x - 1) = 144

x² -x + 6x - 6 = 144

reduce:

x² + 5x -150 = 0

(x + 15)(x - 10) = 0

x = -15, x = 10

KL = 10 - 1 = 9

Answer:

0.783, just look at the pattern.

If you're comparing, this is the answer:

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Answer:

Yeah you know something might be a little off

Answer: yeah ur right but I’m confused if he’s really George Washington. I’m not sure I don’t think George Washington

Step-by-step explanation:

Answer:

A- [tex]5.12*10^{-4}[/tex]

Step-by-step explanation:

1.6* 3.2

add the exponents so 10 to the -4

Answer:

Answer:

d

Step-by-step explanation:

Solve for x over the real numbers:

x^2 + 5 x + 6 = 0

The left hand side factors into a product with two terms:

(x + 2) (x + 3) = 0

Split into two equations:

x + 2 = 0 or x + 3 = 0

Subtract 2 from both sides:

x = -2 or x + 3 = 0

Subtract 3 from both sides:

Answer: |

| x = -2 or x = -3

Answer:

cones

Step-by-step explanation:

Volume of a cone:

V = (1/3)πr2h

Answer:

3x + 2y = 11

3x + y = 11 - 2

3x + y = 9

x + y = 9/3

x + y = 3

x = 3 - y

5x - y = 14

x - y = 14/5

x - y = 2.8

x = 2.8 + y

14Answer:

3

Step-by-step explanation:

solve for y in first equation

5x-y=14

-y=14-5x

y=5x-14

substitute y value (5x-14) into 2nd equation

3x+2 (5x-14)=11

3x+10x-28=11

13x=39

x=3

Answer:

50 adult tickets were sold that day.

Step-by-step explanation:

We will use "c" to represent child ticket and "a" to represent adult ticket

Using these info, we can make a system of equations:

[tex]\left \{ {{9.2a + 5.3c = 836.3} \atop {a + c = 121}} \right.[/tex]

Solve the system of equations using substitution.

a + c = 121

c = 121 - a

9.2a + 5.3 (121 -a) = 836.3

9.2a + 641.3 - 5.3a = 836.3

3.9a = 195

a = 50

50 adult tickets were sold that day.

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:  A= 1 b= -8 c= -20

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

a = 1

b = -8

c = -20

Step-by-step explanation:

Answer:

i think its X=0

hopes it helps

Step-by-step explanation:

The answer for this question is:

7, 98

The minimum value of the function is 7 and the maximum value of the function will be 98.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The function is given below.

f(x) = x³ + 34

The function is defined for the interval of [–3, 4].

The minimum value of the function at x = –3 will be

f(–3) = (–3)³ + 34

f(–3) = –27 + 34

f(–3) = 7

The maximum value of the function at x = 4 will be

f(4) = (4)³ + 34

f(4) = 64 + 34

f(4) = 98

Thus, the minimum value of the function is 7 and the maximum value of the function will be 98.

The graph is given below.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ2

Answer:

1.2

I t is the answer

Answer:

10.9 is the length of the other leg

Step-by-step explanation:

use the reverse Pythagorean therm

the square root of 11(squared) - 1(squared) = 10.9

Answer:

(-4,5)

Step-by-step explanation:

90 degree rotation = (-y,x)

Answer:

The answer would be 8 < Rad 70 < 9 .

Step-by-step explanation:

Hope it was helpful & correct :D

-Mojd.

Answer:

I think it would be around $1.33 for each kg

Step-by-step explanation:

You would divide 12 by 9. Once you do that, you get 1.33

Answer:

x = 12 radical 2 ithink these is ansewer

Answer:

-4x, 1y, -14

Step-by-step explanation:

Hope this helps :)

Answer:

0

Step-by-step explanation:

there is no 6 option on the spinner

Answer:

e and c

Step-by-step explanation:

Answer:

The farmer bought 36 pigs in all.

Step-by-step explanation:

Given that a farmer bought a number of pigs for $ 160, but, however, 8 of them died before he could sell the rest at a profit of 6 per pig, and his total profit was $ 8, to determine how many pigs did he originally buy the following calculation must be performed:

160 + 8 = 168

168/6 = 28

28 + 8 = 36

Thus, the farmer bought 36 pigs in all.