does 15/21 and 40/56 form a proportion

Answer:

0.44

Step-by-step explanation:

Subtraction is just like addition. How much do you need to make 0.18 0.62? then you have your answer. This is just a strategy.

In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions[1][2]) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all sciences that are related to geometry, such as navigation, solid mechanics, celestial mechanics, geodesy, and many others. They are among the simplest periodic functions, and as such are also widely used for studying periodic phenomena, through Fourier analysis.

Basis of trigonometry: if two right triangles have equal acute angles, they are similar, so their side lengths are proportional. Proportionality constants are written within the image: sin θ, cos θ, tan θ, where θ is the common measure of five acute angles.

The trigonometric functions most widely used in modern mathematics are the sine, the cosine, and the tangent. Their reciprocals are respectively the cosecant, the secant, and the cotangent, which are less used. Each of these six trigonometric functions has a corresponding inverse function (called inverse trigonometric function), and an equivalent in the hyperbolic functions as well.[3]

The oldest definitions of trigonometric functions, related to right-angle triangles, define them only for acute angles. To extending these definitions to functions whose domain is the whole projectively extended real line, geometrical definitions using the standard unit circle (i.e., a circle with radius 1 unit) is often used. Modern definitions express trigonometric functions as infinite series or as solutions of differential equations. This allows extending the domain of sine and cosine functions to the whole complex plane, and the domain of the other trigonometric functions to the complex plane (from which some isolated points are removed).

Contents

Right-angled triangle definitions Edit

A right triangle always includes a 90° (π/2 radians) angle, here labeled C. Angles A and B may vary. Trigonometric functions specify the relationships among side lengths and interior angles of a right triangle.

Plot of the six trigonometric functions, the unit circle, and a line for the angle θ = 0.7 radians. The points labelled 1, Sec(θ), Csc(θ) represent the length of the line segment from the origin to that point. Sin(θ), Tan(θ), and 1 are the heights to the line starting from the x-axis, while Cos(θ), 1, and Cot(θ) are lengths along the x-axis starting from the origin.

In this section, the same upper-case letter denotes a vertex of a triangle and the measure of the corresponding angle; the same lower case letter denotes an edge of the triangle and its length.

Given an acute angle A = θ of a right-angled triangle, the hypotenuse h is the side that connects the two acute angles. The side b adjacent to θ is the side of the triangle that connects θ to the right angle. The third side a is said to be opposite to θ.

If the angle θ is given, then all sides of the right-angled triangle are well-defined up to a scaling factor. This means that the ratio of any two side lengths depends only on θ. Thus these six ratios define six functions of θ, which are the trigonometric functions. More precisely, the six trigonometric functions are:[4][5]

sine

{\

Answer:

Expression

Step-by-step explanation:

The definition of an Algebraic Expression is this:

Algebra is an interesting and enjoyable branch of mathematics in which numbers, shapes, and letters are used to express problems.

It can not be an Algebraic Equation because that only includes one variable.

I Hope That This Helps! :)

Answer:

i dont have the answers i just wanted to say happy b day

Step-by-step explanation:

Answer:

C is the right answer

Step-by-step explanation:

Answer:

500-10x=250

x=how much the bird descended in a second

the bird will land on the ground in another 10 seconds.

Step-by-step explanation:

the bird will land on the ground in 10 seconds since it descended 250 ft in 10 seconds so that is 25 ft per second. then do 250/25 and you get 10. that is how you know the bird will land on the ground in 10 seconds.

Answer:

a) [tex]h(t)=500-25t[/tex]

b) [tex]t=20[/tex]

Step-by-step explanation:

a)

Let [tex]h[/tex] = height above ground

Let [tex]t[/tex] = time

Because the bird descended down to 250 feet in 10 seconds with a steady rate, that means it descends 25 feet per second.

∴   [tex]h(t) = 500-25t[/tex]

b)

To find the time it takes until the bird reaches the ground, [tex]h[/tex] must equal [tex]0[/tex]:

[tex]0=500-25t[/tex]

[tex]25t=500[/tex]

[tex]t=20[/tex]

∴ It takes 20 seconds for the bird to reach the ground.

Answer: y = 3

Step-by-step explanation:

2y - 14 = -8

2y - 14 + 14 = -8 + 14

2y = 6

y = 3

Answer:

Turtles to dogs and cats: 12,8,3

dogs to turtles: 8,12

Answer:

5

Step-by-step explanation: I used a calculator

Answer:

The answer I got was 56.6%.

Answer:

36 x 2 = 72

36 divide by 2 = 18

72+18=90

90 is the answer

Step-by-step explanation:

Answer:

a. angle 6 and angle 7

b. angle 6 and angle 8

c. angle 3 and angle 1

Step-by-step explanation:

linear pair is two angles that share a base and and add up to 180

vertical angles is the pair of opposite angles formed by two intersecting lines

congruent is the same measure

Answer:

see explanation

Step-by-step explanation:

(a)

A linear pair of angles, are adjacent to each other and sum to 180°

There are 8  linear pairs in the diagram, they are

1 and 2 / 2 and 3 / 3 and 4 / 4 and 1 / 5 and 6 / 6 and 7 / 7 and 8 / 8 and 5

(b)

There are 4 vertical angles in the diagram

1 and 3 / 2 and 4 / 5 and 7 / 6 and 8

Note that vertical angles are congruent

Other congruent angles are

2 and 6 / 3 and 7 / 1 and 5 / 4 and 8 ( All corresponding angles )

4 and 6 / 3 and 5 ( are Alternate angles )

Answer:

17 and 19

Step-by-step explanation:

n= lesser integer       n+2= greater integer

2(n+2) = 3n -13

2n +4  = 3n-13

n= 17

lesser number =17

The other greater  number = 19 (they are odd,so skipping 18)

19 x 2 = 38

17x3 - 13 =51-13 = 38

Answer:

[tex] \underline{the \: sides \: are} \: \to \\ \underline{ \boxed{ n= 4}} \\ \: \underline{ \boxed{ n= 5}} \\ \:\underline{ \boxed{ n= 7}} \\ \: \underline{ \boxed{ n= 9}} \\ \: [/tex]

Step-by-step explanation:

[tex] \\ the \: sum \:o f \: the\: interior \: angles \: of \: aregular \: polygon \: \\ is \: generaly \: given \: by \to \: 180(n - 2)\\ \underline{ \boxed {case \:( 1) \to}} \\ If \: the \: interior \: angle \: sum \: is \: 360°, \\ then : \: the \: polygon \: has \to \: \\ 180(n - 2) = 360 \\ n - 2 = 2 \\ \underline{ \boxed{ n= 4}} \\ \: \underline{ \boxed {case \:( 2) \to}} \\ If \: the \: interior \: angle \: sum \: is \: 540°, \\ then : \: the \: polygon \: has \to \: \\ 180(n - 2) = 540 \\ n - 2 = 3 \\ \underline{ \boxed{ n= 5}} \\ \: \underline{ \boxed {case \:( 3) \to}} \\ If \: the \: interior \: angle \: sum \: is \: 900°, \\ then : \: the \: polygon \: has \to \: \\ 180(n - 2) = 900 \\ n - 2 = 5 \\ \underline{ \boxed{ n= 7}} \\ \: \underline{ \boxed {case \:(final ) \to}} \\ If \: the \: interior \: angle \: sum \: is \: 1260°, \\ then : \: the \: polygon \: has \to \: \\ 180(n - 2) = 1260 \\ n - 2 = 7\\ \underline{ \boxed{ n= 9}} \\ \: [/tex]

♨Rage♨

Answer:

4,5,7,9

Step-by-step explanation:

Got it right on edge

Answer:

v + u - 4

Step-by-step explanation:

Answer:

Part A: m+1.37=7.9

Part B: 6.53 miles are left to be repaired.

Step-by-step explanation:

Given,

Length of repaired part = 1.37 miles

Total length to be repaired = 7.9 miles

Miles left to be repaired = m

Part A:

Create an equation to show the relationship between the number of miles repaired and the number of miles left to be repaired, m.

Miles left to be repaired + Length of repaired part = Total length to be repaired

m+1.37=7.9

Part B

How many miles are left to be repaired?

Subtracting 1.37 from both sides

6.53 miles are left to be repaired.

Keywords: length, subtraction

Step-by-step explanation:

We must use slope formula* to solve this.

[tex]\frac{-13 - (-10)}{3 - (-6)}\\\\\frac{-3}{9} = -\frac{1}{3}[/tex]

m** = [tex]-\frac{1}{3}[/tex]

*Slope Formula: [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

**m is the symbol for slope.

Answer:

x=15

y=63

Step-by-step explanation:

Answer:

y = 29 degrees

Step-by-step explanation:

5y + 35 = 180

5y = 145

y = 29

Answer: 15

Step-by-step explanation:

Substitute 4 in x.  

Answer:

D

Step-by-step explanation:

Remember that the sum of the interior angles of a triangle will always total 180.

Therefore:

[tex](9x+6)+(74)+(16x)=180\\[/tex]

Let’s solve for x:

Combine LIke Terms:

[tex](9x+16x)+(74+6)=180[/tex]

Add:

[tex]25x+80=180[/tex]

Subtract 80 from both sides:

[tex]25x=100[/tex]

Divide both sides by 25:

[tex]x=4[/tex]

Therefore, the value of x is 4.

Now, to find A, we can substitute it for A.

A is measured by:

[tex]\angle A=9x+6[/tex]

Substitute 4 for x and evaluate:

[tex]\angle A=9(4)+6=36+6=42\textdegree[/tex]

Hence, our answer is D.

Answer:

32

Step-by-step explanation:

Given that:

Number of granola bars = 96

Number of popcorn balls = 64

Greatest number of party favors that can be made from granola bars and popcorn balls ;

Obtain the greatest common factor of both 96 and 64

Factors of :

96 : 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

64 : 2, 4, 8, 16,32

greatest common factor is 32,

Hence, greatest number of party favors that can be made is 32

Answer:

Since that is a right angle it is going to equal 90 degrees. Since you know that the first angle is 67 degrees subtract 67 from 90 and get 23 degrees.

Step-by-step explanation:

Answer:

m = -2

Step-by-step explanation:

hsavajgsbjxxhisbvzjxb

The slope of the line that passes through the points (2.1, -4.2) and (2.5, -5) that form a proportional relationship is: -2.

Recall:

The slope (m) of a line can be calculated using the formula:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

(2.1, -4.2) and (2.5, -5)

[tex](2.1, -4.2) = (x_1, y_1)\\\\(2.5, -5) = (x_2, y_2)[/tex]

Slope (m) = [tex]\frac{-5 -(-4.2)}{2.5 - 2.1} = \frac{-0.8}{0.4} = -2[/tex]

Therefore, the slope of the line that passes through the points (2.1, -4.2) and (2.5, -5) that form a proportional relationship is: -2.

Learn more here:

https://brainly.com/question/18047340

Answer:

3

Explanation:

For every 3 cupcakes that Edgar gets, Fred gets 1. So, if Edgar gets 9, Fred gets 3.

t = (3m -1) / (m - 1)

The subject of a formula is the variable that is being worked out. It can be recognized as the letter on its own on one side of the equals sign.

In order to change the subject of a formula, or rearrange a formula, items in the formula need to be rearranged so a different variable is the subject. Knowledge of solving equations and inverse operations is very useful.

Given formula.

m = t + 1 / t - 3

m ( t - 3) = t - 1

mt - 3m = t - 1

mt - t = 3m - 1

t(m - 1) = (3m - 1)

t = (3m -1) / (m - 1)

Hence, the formula becomes t = (3m -1) / (m - 1).

Learn more about subject of formula here:

https://brainly.com/question/29064960

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Answer:

The correct answer is option 2: -1

Step-by-step explanation:

In order to check if a number is zero of a function or not, the numer is put into the function in plave of variable. If the answer is zero thent he number is zero of the function and if the answer is not zero the given number is not a zero of the function.

Given function is:

[tex]x^3+x^2+x+1[/tex]

Putting x=1

[tex]=(1)^3+(1)^2+1+1\\=1+1+1+1\\=4[/tex]

1 is not zero of the function.

Putting x = -1

[tex]=(-1)^3+(-1)^2+(-1)+1\\=-1+1-1+1\\=0[/tex]

-1 is zero of the given function.

Hence,

The correct answer is option 2: -1

Answer:

B. (2,8), because both equations intersect at this point

Answer:

B. (2,8), because both equations intersect at this point

Step-by-step explanation:

Why is it answer B? Because of Enlarging the graph, we find that the intersection of the two lines drawn is at point (2,8). Hence, the solution of the equation is (2,8) because the graphs of the two lines intersect at this point.