Why can't the sine of an angle be greater than 1?

Answers

Answer 1

Therefore, the sine of any angle can also only be between -1 and 1, inclusive.

What is an angle?

An angle is a shape created by two rays that share a terminus and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are on the plane where the rays are located.

Define sides and vertices.

Lines (line segments) and points make up the forms we perceive (vertices). To create a shape, these line segments are connected at their vertices. These lines' sides are what they are known as. The line segment that connects two vertices of a form or two-dimensional object is referred to as a side in geometry.

The sine of an angle can never be greater than 1 because the sine function maps an angle to the y-coordinate of the point on the unit circle that corresponds to that angle. The y-coordinate of any point on the unit circle is always between -1 and 1, inclusive. Therefore, the sine of any angle can also only be between -1 and 1, inclusive.

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Related Questions

3.5 multiplied by 2y

Answers

Answer:

7y

Step-by-step explanation:

Find the number that is 2/3 of the way from 3/4 to 3 5/12

Answers

Answer:

I got 2.527. And the 7 repeats I’m wasn’t sure if you wanted it in a fraction but it shouldn’t be difficult to convert if you have a calculator with that function

Step-by-step explanation:

One car traveled 240 miles and drove 20 mph hour faster than a second car drove 160 miles. If the cars were traveling for the same time, how fast was the first car driving?
a. 90 mph
b. 80 mph
c. 50 mph
d. 60 mph

Answers

The answer is D because car 1 drove 20 mph faster than car 2. If car 1 drove at 60 mph for 4 hours it reaches 240 miles. Car 2 at 40 mph would travel 160 in 4 hours.

Answer:

d.

Step-by-step explanation:

Lin is shopping for a couch with her dad and hears him ask the salesperson "How much is your commission."
The salesperson says that her commission is 5.5 of the selling price.

Answers

Answer:

30.25

Step-by-step explanation:

Alex and Nick collect baseball cards. Alex has three more than twice as many cards as Nick. Together they have 27 cards.
How many cards does Alex have?

Answers

this is like 3rd grade math but anyways
27x3=81
the answer is 81

The length of a car would be about 12 miles or 12 feet or 12 inches or 12 yards ?

Answers

12 feet I believe if not please let me known

Answer:

12 feet !!

Step-by-step explanation:

its the onlt one that can fit into a car

There is a bag filled with 5 blue, 4 red and 3 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 the same colour?

Answers

Answer: 2/12 (1/6 simplified)

Step-by-step explanation:

5+4+3=12

2 marbles of the same color

2/12

2/2=1

12/2=6

What are the odds of drawing a jack or 10 out of 52 cards?

Answers

Answer:

The standard odds of drawing a jack, king, etc is always 1 in 13 from a shuffled 52 card deck. 4 suits,13 cards each, 1 jack for each suit

Step-by-step explanation:

The equation of line p is y= 1 4 x–8. Line q, which is parallel to line p, includes the point (6, – 3). What is the equation of line q?

Answers

Answer: y = 14x - 81.

Step-by-step explanation:
1. Since the lines are parallel to each other, that means they have the same slope, which is 14.
2. To find the equation of line q, you would need to use the point-slope equation, which is y2 - y1 = m (x2 - x1) and input the values of point (6, -3).
3. The equation you need to solve after inputting values would be y + 3 = 14 (x - 6).
4. Simplify the equation by distributing 14 into the parentheses. This would give you y + 3 = 14x - 84.
5. Now, subtract 3 on both sides to get the y alone. This should give you y = 14x - 81.

Answer:

The equation of line q in slope-intercept form is

y= 1/4 x– 9/2

.

Step-by-step explanation:

28 < 4v
solve for v
pls help

Answers

Answer:

v = 7

Step-by-step explanation:

Divide both sides by 4 to isolate v

28/4 = 4v/4

v = 7

Help me please and Thank you!

Answers

The correct answer is b 314 mm squared.


Hurry please !! It’s timed...

Answers

The links don’t work.

Please help will give brainliest

Answers

Answer:

Plz give

Step-by-step explanation:

Expressions have no equal sign while Equations have the equal sign

If it has an equal sign it is an equation

What is Y =- 2 on a graph?

Answers

The graph of y is a straight line parallel to the x−axis through the point (0,-2)

Now, According to the question:

What is slope and example?

Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line. And b is the b in the point that is the y-intercept (0, b). For example, for the equation y = 3x – 7, the slope is 3, and the y-intercept is (0, −7).

The given equation is Y = -2

y = -2 is a line in which all points have the y-value -2. The line has a slope of 0 (horizontal line) since the y-value does not change for any value of x.

The point-intercept form for the equation of a line is:

y = mx + b

We can write y = -2

As y = 0x - 2;

slope = 0, y-intercept = -2

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SOMEONE PLEASE HELP ME WITH THIS QUESTION AND SHOW WORK ASAP.

Answers

Answer:

1,121.44 or 1,121.4 (nearest tenth)

Step-by-step explanation:

l = 16.8

w = 8.9

h = 16

A  = 2(lw + wh + lh)

2((16.8)(8.9) + (8.9)(16) + (16.8)(16))

2(149.52 + 142.4 + 268.8)

560.72(2)

Answer:

Below

Step-by-step explanation:

SA = 2(w x l + h x l + h w)

= 2(8.9 x 16.8 + 16 x 16.8 + 16 x 8.9)

= 1,121.44 m2

With rounding = 1,121.4 m2

Hope this helps!

Find f(-4) when f(x) = 20- x. A, -24 В. -16 C. 16 D. .24. 4​

Answers

Answer:

D. 24

Step-by-step explanation:

substitute -4 for x:

f(-4)=20-(-4)

f(-4)=24

Explain how the Distributive Property can be used to solve the equation.
3(x + 4) = 36.

Answers

The answer is C because when u distribute it mean multiply so it will be 3x+12

Answer: x=8

Step-by-step explanation:

3(x+4) = 36

3x+12= 36

3x-12= -12

3x = 24

— —

3 3

X=8

A square has an unknown side length, 2x. Write a simplified expression for its perimeter (distance around the
outside of an object. Remember, side plus side plus...)

Answers

The simplified expression for its perimeter and area are 8x.

What is the perimeter of a square?

The perimeter of a square is the sum of the lengths of all the sides of a square. Thus, by summing the lengths of a square's four sides, we can get its perimeter.

An equal number of sides make up a square. As a result, the side of a square is added four times to determine the square's perimeter.

The formula for finding the Perimeter of square = 4*a

= 4 * 2x

= 8x

Perimeter of square = 8x

Hence, the simplified expression for its perimeter is 8x

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Original price: $__
Percent of Discount: 25%
Sale price after discount: $40
What is the original sale price?

Answers

Answer:

$53.33

Step-by-step explanation:

A whole (100%)- 25% is 0.75

x*0.75=40

/0.75 /0.75

x=53.33333

round to the 2 decimal since this is money

Therefore the original sale price was $53.33

Have a nice day and I hope this helped. :D

I need this ASAP!

( Fractions and whole numbers)

Answers

Answer:

C. [tex]4\frac{2}{3}[/tex]

Step-by-step explanation:

One way of approaching this problem is to multiply the numbers the numerators together and then divide by the denominator to receive the quotient and the remainder.

Firstly 6 can be written as a fraction like so: [tex]\frac{6}{1}[/tex] because 6 divided by 1 is equal to 6.

To multiply two fractions together, we simply multiply the numerators and multiply the denominators:

[tex]\frac{7}{9}* \frac{6}{1} =\frac{7*6}{9*1}[/tex]

Which gives us the improper fraction of: [tex]\frac{42}{9}[/tex]

Next, we find the highest multiple of 9 which is smaller than 42. If we write out the multiples of 9 we will find that it is 36:

1x9=9, 2x9=18, 3x9=27, 4x9=36, 5x9=45

Since we know that at least 4 whole 9s go into 42 we can conclude that the coefficient of the fraction will be 4.

To find the fraction itself, we must find the remainder which we can do by subtracting 36 from 42: 42-36 = 6

The remainder is the numerator of the fraction as there are 6 ninths left over after we have divided 42 by 9.

Therefore our answer is [tex]4\frac{6}{9}[/tex]

If we divide 6 and 9 by 3 we will find that 6/9 is equivalent to 2/3 therefore our final answer is [tex]4\frac{2}{3}[/tex].

Option C is correct.

Which side lengths does NOT form a triangle?
A
7 feet, 7 feet, 14 feet
B
11 inches, 14 inches, 17 inches
с
12 meters, 14 meters, 15 meters
D
6 kilometers, 8 kilometers, 10 kilometers

Answers

Answer:

6kilometers ,8 kilometers,10kilometers

you need to split it in half then multply then add

Answers

Answer:

130^2 or 130 meters squared

Step-by-step explanation:

I decomposed the figure, then found the area of the decomposed figures then found the sum of them.

FIGURE A:

3 x 3 = 9

= 9^2

FIGURE B:

11 x 11 = 121

= 121 meters^2

So 121 + 9 = 130

= 130 meters^2

REMEMBER!!!!

THE FORMULA FOR AREA IS LENGTH * WIDTH = AREA

12. Which set of ordered pairs below is a function?

Answers

Answer:D. 1 and 2

Step-by-step explanation:

Domain cannot repeat

What is the solution to the system of equations 3x 2y 7 and Y 3x 11?

Answers

The solution to the system of equations is x = 4 and y = 5.

3x + 2y = 7

y = 3x - 11

Substitute 3x - 11 for y in the first equation:

3x + 2(3x - 11) = 7

Simplify:

3x + 6x - 22 = 7

Combine like terms:

9x - 22 = 7

Add 22 to both sides:

9x = 29

Divide both sides by 9:

x = 29/9

x = 4

Change x in the second equation to 4:

y = 3(4) - 11

Simplify:

y = 12 - 11

y = 1

The solution to the system of equations is x = 4 and y = 1.

The solution to the system of equations 3x + 2y = 7 and y = 3x - 11 is x = 4 and y = 1. To solve this system, we first substituted 3x - 11 for y in the first equation. We then simplified the equation and combined like terms to get 9x - 22 = 7. We then added 22 to both sides, divided both sides by 9, and got x = 29/9 which is x = 4. We then substituted 4 for x in the second equation, simplified, and got y = 1. Thus, the solution to the system of equations is x = 4 and y = 1.

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A and B are vertical angles. A=(x+15) B=(5x−17) the measure of b

Answers

Answer = 23 degrees

Explanation

1. Since vertical angles are congruent you can set the equations equal to one another like x+15 = 5x-17.

2. Subtract x on both sides to combine like terms . That gives 15 = 4x - 17

3. Add 17 on both sides to combine like terms. That gives 4x = 32.

4. Divide 4 on both sides to solve for x. That results in x = 8.

5. To find the measure of b, you can input 8 into A since A=B and it’s quicker math. So 8 + 15 = 23 degrees

What are the solutions to 3x 2 4 0 `?

Answers

The solution of the expression 3x² - 4 = 0 is x = ±2/√3.

The term expression in math is defined as a sentence with a minimum of two numbers or variables and at least one math operation

Here we have the expression 3x² - 4 = 0.

Now, we have to solve this one by using the following steps:

First we have to add 4 to both sides of the equation, then we get the expression as,

=> 3x² = 4

Now, we have to Divide each term by 3 and simplify, then we get

=> x² = 4/3

Then we have to take the specified root of both sides of the equation to eliminate the exponent on the left side,

=> x = √4/3

When we simplify this one further, then we get

=> x = ±2/√3.

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Can u please help?.........................

Answers

The coordinates of the point P on the directed line segment that partitions the segment into a ratio of 2 to 3 is the ordered pair (3, 0).

How to determine the coordinates of point P?

In this scenario, we would use line ratio to determine the coordinates of the point P on the directed line segment that partitions the segment into a ratio of 3 to 2.

In Mathematics, line ratio can be used to determine the coordinates of the point P and this is modeled by this mathematical expression:

P(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

Substituting the given parameters into the line ratio formula, we have;

P(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

P(x, y) = [(2(9) + 3(-1))/(2 + 3)],  [(2(6) + 3(-4))/(2 + 3)]

P(x, y) = [(18 - 3)/(5)],  [(12 - 12)/5]

P(x, y) = [15/5],  [0/5]

P(x, y) = [3, 0]

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Complete Question:

Find the coordinates of point P along the directed line segment AB so that AP to PB is the given ratio. A(-1, -4), B(9, 6); to 3. The coordinates of P are?

What is the area of a circle if the diameter is 40 meters PLEASE HELP PLEASE IM TIMED

Answers

Answer:

Half of 40 is 20(new radius)

20^2 = 400

400 x 3.14 = 1256 meters^2

Formula of area of a circle:

πr2

pi(3.14 or 22/7 whatever they tell you to use for pi) x radius(half of your diameter or your given radius) being squared(^2 to the power of 2)

The minimum value of G in G ( x ) = 3 tan x is

Answers

The function G(x) = 3 tan(x) does not have a minimum value.

What are the relative extremas of a function?

The relative extremas of a function are the values of x for which the derivative of the function assumes a value of zero.

The extremas are classified as local minimum or local maximum, as follows:

Local minimum: the function changes from decreasing to increasing.Local maximum: the function changes from increasing to decreasing.

The tangent function does not have a local minimum, as it is increasing over it's entire domain.

The function G(x) = 3 tan(x) is a vertical stretch by a factor of 3 of the tangent function, which changes only the range, thus the function continues without a local minimum.

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Plz, help me with this question!

Answers

Answer:

O  A. 8

Step-by-step explanation:

the line is 180, so subtract 140 to get 5x. 5x = 40 so divide by 5

180 - 140 = 5x

         40 = 5x

          /5    /5

            8 = x

Answer: X=8

Step-by-step explanation:

it is a 180 degree angle total.

180=5x+140

subtract 140 from both sides

40=5x

divide by 5 on both sides

8=x

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