14.
Given that sin θ= 1 / √2, we want to find the value of tan θ.
First, find the value of θ.

Answers

Answer 1

Answer:

value of tan θ = 1

Step-by-step explanation:

To find θ do the asin of 1/√2

θ = asin (1/√2)

θ = asin (0.707106781)

θ = 45

and then to find tan θ, do tan 45

tan 45 = 1


Related Questions

Emma bought a sweater at the sale price of $50. The original cost of the sweater was $80. What percent represents the discount that Emma received when buying the sweater?

Answers

Answer:

The percentage represented is 37.5%

On a snow day, Owen created two snowmen in his backyard. Snowman A was built to
a height of 60 inches and Snowman B was built to a height of 42 inches. The next day,
the temperature increased and both snowmen began to melt. At sunrise, Snowman
A's height decrease by 6 inches per hour and Snowman B's height decreased by 3
inches per hour. Let A represent the height of Snowman At hours after sunrise and
let B represent the height of Snowman Bt hours after sunrise. Graph each function
and determine the interval of time, t, when Snowman A is taller than Snowman B

Answers

Answer:

The equations for each function:

A(t) = 60 - 6tB(t) = 42 - 3t

The lines plotted, see attached

The point at which both the snowmen have same height:

60 - 6t = 42 - 3t6t - 3t = 60 - 423t = 18t = 6

The required interval is

t = [0, 6)

plsssss help links will be reported!

Answers

Answer:

airplane A

Step-by-step explanation:

Evan took 3 hours to bicycle to his
grandmother's house, a total of 24
kilometers. What was his speed in km/hr?

Answers

Answer:

8km/h

Step-by-step explanation:

24/3

8

Hope it helps!

Answer:

To convert 24 km/s to km/h use direct conversion formula below.

24 km/s = 86393.088552916 km/h.

You also can convert 24 Kilometers/Second to other Speed (popular) units.

Step-by-step explanation:

goo gle

Suppose that a certain movie earns $3,000,000 in ticket sales. If 60% goes to the movie studio and 40% goes to theatres: Movie studios will get $ of the total revenue Theatres will get $ of the total revenue.

Answers

Movie studios will get $1,800,000
$3,000,000 x 60%= $1,800,000

Theaters will get $1,200,000
$3,000,000 x 40%= $1,200,000

Select the correct answer.
What is the range of the function graphed below?

A. -∞ < y < -2

B. -∞ < y < ∞

C. -∞ < y < 2

D. -2 < y < ∞

Answers

Answer:

C

Step-by-step explanation:

The range is all the (y) values the function could have. The function's left end approaches negative infinity, while the right end approaches the asymptote of the function, y = 2.

So, the range is -∞ < y < 2. The answer is C.

I hope this helps :]

The range of the function is option (C) -∞ < y < 2 is the correct answer.

What is the range of a function?

The range is the set of possible output values, which are shown on the y-axis. The range of a function, f is the set of all values f(x) , such that x is in the domain of f. Graphically speaking, the range is the set of all y such that (x,y) is a point on the graph of f .

For the given situation,

The graph shows the function that is plotted on x-y axis.

The curve of the function tends from x-axis beyond infinity.

It bends at y = 2 and moves towards y-axis beyond infinity.

Hence we can conclude that the range of the function is option (C),        -∞ < y < 2 is the correct answer.

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Please help me please please

Answers

Answer: I think it’s 30 you can do it yourself by drawing a rectangle and then multiplying the Length times width

Step-by-step explanation:

Helpp plzz with the one on the top I will mark brainliest

Answers

Answer:Its D i hope

Step-by-step explanation:

A computer game company conducts a survey of random sample of customers to determine their favorite type of game. The results of the survey are shown below based on the survey results how many customers are expected to prefer fantasy games out of the 1,000 customers?

Answers

Answer:

1.6% of customers

Step-by-step explanation:

You started hiking at 31.3 feet below sea level. At the end of your hike, you were at 56.2 feet above sea level. How many feet did you climb?

Answers

Answer:

24.9

Step-by-step explanation:

56.2-31.3=24.9

The graph of f(x)=4/x^2-2x-3 is shown. For which values of x is f(x) decreasing?

Answers

Answer: (1,3) (3, infinite)

Step-by-step explanation:

i think this is right

The graph of f(x) = 4/(x² - 2x - 3) is decreasing in the values of (-1,3) ∪ (3,∞)

What is graph?

A graph can be defined as "pictorial representation or the diagram that represent a data or values in an organized manner".

According to the question,

The graph of function f(x) =  4/(x² - 2x - 3).

The values (-1,3) ∪ (3,∞) substitute in the given function

f(-1) = 4/0 = undefined

f(3)= 4/0 = undefined

f(∞)= undefined

Hence, The graph of f(x) = 4/(x² - 2x - 3) is decreasing in the values of

(-1,3) ∪ (3,∞).

Learn more about  graph here

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For anybody who has had this question
0 and 5 :(

Answers

Answer:

Yes, the answer is (0,5) because that is where the lines intercect on the graph.

In a 30% off sale, the price of an item is reduced by £27.

What is the original cost of the item?

Answers

Answer: the original cost of the item is 90$

Step-by-step explanation:

30% off of the item = 27$

27 dollar is 30% of the item

thus 27 = 0.30X

0.30X = 27

time both side by 10

3X = 270

270/3 = 90

HELP!!!!!A semi-circular part is removed from a rectangle.
The area of the shaded portion is approx. 3041.4 cm2.

Answers

Answer:

It is true

Step-by-step explanation:

the area of the rectangle is

72•66=4752

the area of the semi circle is

π33^2= 3421.19/2= 1710.595

4752-1710.595= 3041.405

rounded to nearest tenth

3041.4

(d) Time T, in minutes, for a train journey of
a hours b minutes​

Answers

Answer:

you didnt give a clear question

Step-by-step explanation:

wth

Pov your just scrolling and seeing all these hard problems that your brain cant do.

Answers

Answer:

LOL this is just facts

Answer:

lol so true

Step-by-step explanation:

An expression is shown. 2(3/5x+3) - (2/3x-1) create an equivalent expression without parenthesis

Answers

Answer:

6/5x -2/3x + 4

Step-by-step explanation:

Simplify the equation

6/5x + 3 -2/3x + 1

6/5x -2/3x + 4

not simplified all the way, but is just exquivalent

Answer 1 13/15x + 5 if simplified or 28/15x + 5 non-simplified

Step-by-step explanation:

2(3/5x+3) = 6/5x + 6 (also can simplfy to 1 1/5x +6)

6/5x + 2/3 = 18/15 + 10/15 = 28/15x ( also can to 1 13/15x)

6-1=5

Given the function y = -5x + 4, what is the range of the function if the domain is {-2, 0, 5}?

Answers

Answer:

90 hours

Step-by-step explanation:

{14, 4, -21}  is the range of the function if the domain is {-2, 0, 5}

What is the function?

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

To find the range of the function, we need to plug each value in the domain into the given function and see what output (y-value) we get.

When x = -2:

y = -5(-2) + 4 = 14

When x = 0:

y = -5(0) + 4 = 4

When x = 5:

y = -5(5) + 4 = -21

So the range of the function is {14, 4, -21}.

Learn more about function here:

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Suppose c(x) = x3 - 24x2 + 30,000x is the cost of manufacturing x items. Find a production level that will minimize the average cost per item of making x items.

Answers

Answer:

hence the required minimum production level is 12units

Step-by-step explanation:

Given the cost function expressed as c(x) = x^3 - 24x^2 + 30,000x

The average cost function will be c(x)/x

Dividing the cost function through by x

Average cost function = c(x)/x = x³/x - 24x²/x + 30,000x/x

Average cost function = x²-24x + 30,000

A(x) = x²-24x + 30,000

If the average cost is minimized, hence dA/dx = 0

dA/dx = 2x - 24

0 = 2x - 24

-2x = -24

Divide both sides by -2

-2x/-2 = -24/-2

x = 12

For the second deriviative

d²A/dx² = 2 which is greater than zero

Hence a production level that will minimize the average cost per item of making x items is 12

The production level that will minimize the average cost per item of making x items is  x = 12

How to obtain the minimum value of a function?

To find the minimum of a continuous and twice differentiable function f(x), we can firstly differentiate it with respect to x and equating it to 0 will give us critical points.

Putting those values of x in the second rate of function, if results in negative output, then at that point, there is maxima. If the output is positive then its minima and if its 0, then we will have to find the third derivative (if it exists) and so on.

For this case, the function in consideration is: [tex]c(x) = x^3 - 24x^2 + 30000x[/tex]

This is cost function for x items' manufacturing.

The average cost per item would be c(x) / x

This gives us a function a(x) as:

[tex]a(x) = c(x)/x = x^2 -24x + 30000[/tex]

For finding  the minimum of a(x), getting its first two derivatives as:

[tex]a'(x) = 2x - 24\\a''(x) = 2 > 0[/tex]

Equating first rate to 0,

[tex]a'(x) = 2x - 24 = 0[/tex] critical point.

Since second rate is positive, the point x = 12 is point of minima, and since only one critical point is there, it is the point on which a(x) is minimum.

Thus, the production level that will minimize the average cost per item of making x items is  x = 12

Learn more about minima and maxima of a function here:

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At a birthday party, the ratio of pizza slices to kids is 3:2. At a larger party there are 30 kids. If the ratio of pizza slices to kids stays the same, how many pizza slices will be needed?

Answers

Answer:

90:60

Step-by-step explanation:

3x30= 90

2x30= 60

The students in Hugh Logan's math class took the Scholastic Aptitude Test. Their math scores are shown below. Find the mean score.
506 635 345 344 633
344 359 536 470 482 ​

Answers

Answer:

465.4

Step-by-step explanation:

mean=sum of all values/umber of vales

      =506+ 635 +345 +344+ 633 +344+359+ 536 +470+ 482 ​ /10

      =4654/10

   mean   =465.4

PLEASE HELP!! DUE SOON!!!
Find the surface area of the sphere (I can't upload the pic but I'll give the radius).
Radius 7 m
A. 56π m²
B. 784π m²
C. 392π m²
D. 196π m²

Answers

Answer:

D

Step-by-step explanation:

This is because the formula is 4×pi×r^2

So 4×pi×7^2

(7^2=49) now plug that in: 4×pi×49

Combine like terms: 4×49=196

Plug that into the equation: 196pi

A ball is thrown into the air with an upward velocity of 28ft/s. Its height h in feet after t seconds is given by the function h = -16t^2 + 28t + 8

Answers

Answer:

In bold below.

Step-by-step explanation:

Find derivative which gives the velocity:

V = h' = -32t + 28

At maxm height V = 0 so

-32t + 28 = 0

Time to reach maxm height t = -28/-32 = 0.875 seconds.

So maxm height

= -16(0.875)^2 + 28*0.875 + 8

= 20.25 ft.

please helpppppp i will mark you braliest

Answers

Answer:

0.3

Explanation:

you multiply all numbers together to get 0.3

Answer is 0.3

have a great day!

A ship at sea is 70 miles from one radio transmitter and 130 miles from another. The bearing from the ship to transmitter 1 is N38.1°E and the bearing to transmitter 2 is S 22.4°E . Find the distance between the two transmitters. ​

Answers

Answer:

volved with elements and compounds composed of atoms, molecules and ions: their composition, structure, properties, behavior and the changes they undergo during a reaction with other substances.

6(x+4)+1= What is the answer to this great math problem

Answers

6x + 24 + 1 = 6x + 25

Answer:

x =  -25/6

Step-by-step explanation:

6 (x + 4) + 1 = 0

6x + 24 + 1 = 0

6x + 25 = 0

6x = -25

x = -25/6

B
6x+7
3x+c
2x-1

What is the value of c in degrees

Answers

Answer:

1.x=15

2.<A=29

Step-by-step explanation:

(2x-1)+(3x+9)+(6x+7)=180

2x-1+3x+9+6x+7=180

11x+15=180

11x=180-15

11x=165

x=165/11

x=15

2.<A=2x-1

  <A=2*15-1

  <A=30-1

  <A=29

   

Identify the figure. Then state how many bases, faces, edges, and vertices there are.
Name:
Bases:
Faces:
Edges:
Vertices:

Answers

Answer:

name: pentagonal pyramid

bases: one

faces: 5

edges: 10

vertices: 6

Step-by-step explanation:


Roll a standard number cube. Then pick a marble out of a bag.
A Dependent, the roll will not affect the marble selection.
B. Dependent, the roll will affect the marble selection.
C. Independent; the roll will not affect the marble selection.
D. Independent; the roll will affect the marble selection.

Answers

Answer:

C

Step-by-step explanation:

Its C because it doesn't depend on the marbles there to separate picks so neither will affect each other

HELP PLEASE 15 POINTS

Answers

Answer:

b

Step-by-step explanation:

Given that Δ DEF and Δ ACB are congruent then corresponding angles are congruent.

ACB and DEF , that is ∠ B and ∠ F are corresponding

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