MATHEMATICS HIGH SCHOOL

Trigonometry
Trigonometric Functions
Given: Sin θ = (5/6), Find: Cot θ

Answers

Answer 1

Answer:

Answer:

cotθ = $√(11)$ $/ 5$

Step-by-step explanation:

sine = opposite / hypotenuse

cotangent = adjacent / opposite

So first we have to solve for the adjacent side b, using pythagorean theorem

$a^(2) +b^(2) =c^(2)$

$5^(2) +b^(2) =6^(2)$

$25 + b^(2) = 36$

$b^(2) = 11$

$b = √(11)$

cotangent = adjacent / opposite

cotθ = $√(11)$ $/ 5$

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4:3 and 25:45 are equal ratios. True or false ?

the price of n tickets to a play is 9n+ 6 dollars. What is the cost in dollars for 8 tickets to the play

Answers

9(8)+6

72+6

78

78$ is the cost of 8 tickets.

put n = 8 and solve it u will get answer

9 (8) + 6
72 + 6
$78

Anyone a math Genius?
simplify each radical expression.
-21_/27x^9

Answers

ok so according to comments, question is
$-21\sqrt{27x^(9)}$
remember that
$√(xy)$ = $√(x)$ times $√(y)$
and $\sqrt{yx^(2)}$ = $x√(y)$
so
$-21\sqrt{27x^(9)}$ = $-21√(27)\sqrt{x^(9)}$ = $-21√(9)√(3)\sqrt{x^(2)}\sqrt{x^(2)}\sqrt{x^(2)}\sqrt{x^(2)}√(x)$ = $-21(3)√(3)(x)(x)(x)(x)√(x)$ =
$-63x^(4)√(3)√(x)$ = $-63x^(4)√(3x)$

Simplify the given expression below: (4 + 2i) − (1 − 7i) 5 − 5i 5 + 9i 3 + 9i 3 − 5i

Answers

The best way to think of complex numbers is through x and y coordinates, if a number is just on its own (real) think of it as the x ordinate. Conversely if the number is say 2i (imaginary), just think of it as the y=2.
So 4+2i - (1-7i) = 4+2i-1+7i = (4-1) + i(2+7) = 3 +9i
That can be though of as (3,9). A complex number is just two separate real numbers, a real part and an imaginary part.

The value of the complex expression will be 3 + 9i. Then the correct option is C.

What is a complex number?

The complex number is the combination of the real part and the imaginary part.

Then the complex number is given as

⇒ a+bi

The complex expression is given below.

⇒ (4 + 2i) and (1 − 7i)

Then the difference between the complex number will be

⇒ (4 + 2i) - (1 - 7i)

Simplify the complex expression, then the complex expression will be

⇒ (4 + 2i) - (1 - 7i)

⇒ 4 + 2i - 1 + 7i

⇒ 3 + 9i

The value of the complex expression will be 3 + 9i.

Then the correct option is C.

More about the complex number link is given below.

brainly.com/question/10251853

#SPJ5

Which list shows the lengths from shortest to longest ? A. 0.2, 1/4, 3/8, 0.8, 7/8

B. 0.2, 1/4, 3/8, 7/8, 0.8

C. 1/4, 0.2, 3/8, 7/8, 0.8

D. 0.8, 1/4, 3/8, 0.2, 7/8

Answers

Answer:

It’s a

Step-by-step explanation:

Tell me if I’m wrong

1. Write an equation in point slope form for the line that has a slope of 6 and contains the point (-8,-7).2. The points (-4,-3) and (-1,-8) are on a line. Find the intercepts to the nearest tenth.

3. Solve 2x-3y=11 by elimination. Express your answer as an ordered paired.
3x+3y=9

4. Solve 2x - 5y = -7 by elimination. Express your answer as an ordered pair.
5x - 3y = 11

5. Order the list of numbers from least to greatest
4.9 X 10^11 , 8.9 X 10 ^18 , 1.3 X 10 ^8 , 6.7 X 10 ^8 , 2.7 X 10 ^18

Answers

1. y - y₁ = m(x - x₁)
     y - (-7) = 6(x - (-8))
       y + 7 = 6(x + 8)
   y + 7 = 6(x) + 6(8)
   y + 7 = 6x + 48
      - 7 -   7
   y = 6x + 41

2. y₂ - y₁ = -8 - (-3) = -8 + 3 = -5 = -1²/₃
    x₂ - x₁ -1 - (-4) -1 + 4 3

3. 2x - 3y = 11
    3x + 3y =   9
      5x = 20
   5 5
      x = 4
     2x - 3y = 11
   2(4) - 3y = 11
   8 - 3y = 11
   - 8 - 8
   -3y = 3
      -3    -3
      y = -1
      (x, y) = (4, -1)

4. 2x - 5y = -7 ⇒   -6x + 15y = 21
    5x - 3y = 11 ⇒ -25x + 15y = -55
      19x = 76
   19    19
      x = 4
   2x - 5y = -7
   2(4) - 5y = -7
   8 - 5y = -7
   - 8 - 8
   -5y = -15
      -5 -5
      y = 3
      (x, y) = (4, 3)

5. 4.9 × 10¹¹, 8.9 × 10¹⁸, 1.3 × 10⁸, 6.7 × 10⁸, 2.7 × 10⁸
    1.3 × 10³, 2.7 × 10⁸, 6.7 × 10⁸, 4.9 × 10¹¹, 8.9 × 10¹⁸
    Least        Greatest

A statement that is proved by deductive logic is called a ______.