4. tan Θ if sin = 1/2 90° ≤ Θ ≤ 180°

a. -√(3)/2
b. -√(3)/3
c. √(3)/2
d. √(3)/3

5. Find the value of
tan Θ if cot Θ = 2 0 ≤ Θ < 90° (write your answer as a fraction)

tan =

Answer:

D.288

Step-by-step explanation:

6×4×12

Multiply 6 and 4 to get 24.

24×12

Multiply 24 and 12 to get 288.

288

Answer:

25

Step-by-step explanation:

Answer:

the answer is 25

Step-by-step explanation:

Answer:

y = 41

Step-by-step explanation:

y=4x+5 cuando x=9

y=4*9+5

y=36+5

y=41

Answer:

111

Step-by-step explanation:

A variable is a letter, for example x, y or z, that represents an unspecified number. To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12.

Answer:

C

Step-by-step explanation:

Answer:

1,769

Step-by-step explanation:

The computation of the sum is shown below:

Future value = Present value × (1 + rate of interest)^number of years

2,590 = Present value × (1 + 0.10)^4

2,590 = Present value × 1.10^4

So, the present value is

= 2,590 ÷ 1.10^4

= 2,590 ÷ 1.4641

= 1,769

9514 1404 393

Answer:

  7 square units

Step-by-step explanation:

There are several ways the area of triangle EBD can be found.

We choose the latter.

__

Pick's theorem says the area of a polygon can be found as ...

  A = i + b/2 -1

where i is the number of grid intersection points interior to the polygon, b is the number of grid points intersected by the border.

The attached figure shows the lines EB, BD, and DE intersect one point in addition to the vertices. So, b=4. A count of the red dots reveals 6 interior points (i=6). So, the area is ...

  A = 6 + (4/2) -1 = 7

The area of ∆EBD is 7 square units.

Answer:

Suppose that it takes a simple pendulum 1.2 seconds to swing from its leftmost point to its ... pendulum to complete one full back-and-forth motion – from its rightmost point back to its ... A pendulum with a string of length 2 m has a period of about 2.8 s. ... A pendulum with a period of 1.8 s on Earth is moved to another planet.

Step-by-step explanation:

Answer:

the 3rd option because Imma fresh man bro

Answer:

x = 12.5

Step-by-step explanation:

Based on the interesting chords theorem, we would have the following:

2*x = 5*5

2x = 25

Divide both sides by 2

x = 25/2

x = 12.5

Answer:

18

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

(3, 2) is a solution to the given system of linear equations.

x - 8y = 3 - 8*2 = 3 - 16 = - 13

16x - 16y = 16(x - y) = 16( 3 - 2) = 16*1 = 16

Answer:

Step-by-step explanation:

The center is halfway between vertices, at (4, -6).

It is also halfway between foci.

:::::

The vertices are vertically aligned, so the parabola is vertical.

General equation for a vertical ellipse:

 (y-k)²/a² + (x-h)²/b² = 1

with

 center (h,k)

 vertices (h,k±a)

 co-vertices (h±b,k)

 foci (h,k±c), c² = a²-b²

Apply your data and solve for h, k, a, and b.

center (h,k) = (4, -6)

h = 4

k = -6

vertices (4,-6±a) = (4,-6±9)

a = 9

foci (4,-6±c) = (4,-6±5√2)

b² = a² - c² = 9² - (5√2)² = 31

b = √31

The equation becomes

 (y+6)²/81 + (x-4)²/31 = 1

:::::

length of major axis = 2a = 18

length of minor axis = 2b = 2√31

The various parts of the question needs to be answered.

Center: (4,-6)

Standard equation: [tex]\dfrac{(x-4)^2}{\sqrt{31}^2}+\dfrac{(y+6)^2}{9^2}=1[/tex]

Length of major axis: 18 units

Length of minor axis: [tex]2\sqrt{31}\ \text{units}[/tex]

Graph is attached.

The Vertices are of the form

[tex](h,k\pm a)=(4,-6\pm 9)[/tex]

This means that the ellipse is symmetrical to the y axis.

The center of an ellipse is given by [tex](h,k)[/tex]

So, here the center is [tex](4,-6)[/tex]

[tex]a=\pm 9[/tex]

The foci are of the form

[tex](h,k\pm c)=(4,-6\pm 5\sqrt{2})[/tex]

So, [tex]c=\pm 5\sqrt{2}[/tex]

[tex]b=\sqrt{a^2-c^2}\\\Rightarrow b=\sqrt{9^2-(5\sqrt{2})^2}\\\Rightarrow b=\pm\sqrt{31}[/tex]

The standard equation for major axis being parallel to y axis is given by

[tex]\dfrac{(x-h)^2}{b^2}+\dfrac{(y-k)^2}{a^2}=1\\\Rightarrow \dfrac{(x-4)^2}{\sqrt{31}^2}+\dfrac{(y+6)^2}{9^2}=1[/tex]

Length of major axis is

[tex]2a=2\times 9\\ =18\ \text{units}[/tex]

Length of minor axis is

[tex]2b=2\sqrt{31}\ \text{units}[/tex]

Learn more about ellipse:

https://brainly.com/question/12205108

Answer:

yes

Step-by-step explanation:

The mode is the measure of the central tendency for the given data set. The mode represents the highest frequency of the number

Since in the given data set as we can see that the 100 would be appeared 6 times

So this represent that the mode is 100

So here the mode would be the good measure

Answer:

Options (1), (3) and (4)

Step-by-step explanation:

From ΔABC given in the picture,

By Pythagoras theorem

Hypotenuse² = (Leg 1)² + (Leg 2)²

BC² = AB² + AC²

(18)² = 9² + AC²

AC = [tex]\sqrt{324-81}[/tex]

AC = [tex]9\sqrt{3}[/tex] cm  

sin(C) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

         = [tex]\frac{AB}{BC}[/tex]

         = [tex]\frac{9\sqrt{3}}{18}[/tex]

sin(C) = [tex]\frac{\sqrt{3} }{2}[/tex]

sin(B) = [tex]\frac{AC}{BC}[/tex]

         = [tex]\frac{9}{18}[/tex]

         = [tex]\frac{1}{2}[/tex]

cos(B) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

          = [tex]\frac{9\sqrt{3}}{18}[/tex]

          = [tex]\frac{\sqrt{3} }{2}[/tex]

tan(B) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

          = [tex]\frac{AC}{AB}[/tex]

          = [tex]\frac{9}{9\sqrt{3} }[/tex]

          = [tex]\frac{1}{\sqrt{3} }[/tex]

tan(C) = [tex]\frac{AB}{AC}[/tex]

          = [tex]\frac{9\sqrt{3}}{9}[/tex]

          = [tex]\sqrt{3}[/tex]

Therefore, Options (1), (3) and (4) are the correct options.

Answer:

Options (1), (3) and (4)

Step-by-step explanation:

From ΔABC given in the picture,

By Pythagoras theorem

Hypotenuse² = (Leg 1)² + (Leg 2)²

BC² = AB² + AC²

(18)² = 9² + AC²

AC =

AC =  cm  

sin(C) =

        =

        =

sin(C) =

sin(B) =

        =

        =

cos(B) =

         =

         =

tan(B) =

         =

         =

         =

tan(C) =

         =

         =

Therefore, Options (1), (3) and (4) are the correct options.Step-by-step explanation:

Answer:

The first one . +++ --

Step-by-step explanation:

Answer:

A= 90    (right angel )

E= 90 - 67 = 23

I hope im right!!

Answer:

55/4

Step-by-step explanation:

Step-by-step explanation:

it would be 45 if you add it as 21 but you didn't put another symbol hope I can help :)

Answer:

if    x ≥ 2, then y = x - 1

if    x < 2, then y = -x + 3

Step-by-step explanation:

y = 1* |x - 2|  +  1

y = |x-2| + 1

*** The rule on absolute value: |a| =a, if a ≥ 0; |a| = -a, if a < 0

If       x-2 ≥ 0,   then |x-2| = x-2, so y = (x - 2) + 1 = x - 1; y = x - 1

So   if    x ≥ 2, then y = x - 1

If      x-2 < 0,    then |x-2| = -(x-2) = -x + 2, so y =  {-x + 2} + 1 = -x + 3; y = -x + 3

So   if    x < 2, then y = -x + 3

Answer:

The correct answer is B. $59.05.

Step-by-step explanation:

Given that I have a restaurant bill of $ 46.32, if I am taxed 7 1/2 and decide to tip my server 20%, to determine how much is my total, the following calculation must be performed:

1/2 = 0.5

46.32 + (46.32 x 0.075) + (46.32 x 0.2) = X

46.32 + 3.474 + 9.264 = X

49.79 + 9.26 = X

59.05 = X

Thus, the total amount that I must pay is $ 59.05.

Answer:

b

Step-by-step explanation:

trust

Answer:

53

Step-by-step explanation:

Complementary angles are summed up to be 90 degrees. If we already know that one if the angles is 37, all we need to do is subtract 37 from 90.

90-37 = 53

Hope this helps.

Answer:

86

Step-by-step explanation:

(2+2=4) 4 to the 3rd power is 64. 150 minus 64 is 86

Answer:

15 a^3 b - 35ab^3

taking common

5ab(3a²-7b²)

Answer:

[tex] \huge \boxed{ \boxed{ \red{3ab(5 {a}^{2} - 7 {b}^{2} )}}}[/tex]

Step-by-step explanation:

and

we are done

Answer:

I do not know the answer to this question

Step-by-step explanation:

Answer:2721

Step-by-step explanation:

Answer: 30u

Step-by-step explanation:

If GY is 6u long, x=6. (4x-2) is 4x6 which is 32, 32 - 2 = 30u long

(U = units)

Answer/Step-by-step explanation:

Two triangles can be proven to be congruent to each other if two angles and an included side of one triangle is congruent to the corresponding two angles and included side of the other triangle.

Two angles (<C and <A) in ∆ABC, are congruent to two angles (<D and <F) in ∆DEF. Also, the included side (AC) in ∆ABC is congruent to the included side (DF) in ∆DEF.

Therefore, based on the Angle-Side-Angle Congruence Theorem, ∆ABC is congruent to ∆DEF.

Answer:

Answer/Step-by-step explanation:

Two triangles can be proven to be congruent to each other if two angles and an included side of one triangle is congruent to the corresponding two angles and included side of the other triangle.

Two angles (<C and <A) in ∆ABC, are congruent to two angles (<D and <F) in ∆DEF. Also, the included side (AC) in ∆ABC is congruent to the included side (DF) in ∆DEF.

Therefore, based on the Angle-Side-Angle Congruence Theorem, ∆ABC is congruent to ∆DEF.

Step-by-step explanation:

Answer:

It doesn't show the whole picture

Step-by-step explanation: