IMPORTANT!! in a unit circle, what is the relationship between arc length and central angle?

Answers

Answer 1

Answer:

The measure of an arc refers to the arc length divided by the radius of the circle. The arc measure equals the corresponding central angle measure, in radians. That's why radians are natural: a central angle of one radian will span an arc exactly one radius long.


Related Questions

which of these 3 diagrams are correct

Answers

a straight line is 180*, so u take the obtuse angle 110* plus the neighboring acute angle of 70*, is 180*

answer is c
I agree the answer is C

(A) 12n + 14m + 4 B) 2 (7n +3m + 7) c 3 (m + 4n+20) D) 14m + 12m + 4 CHECK ANSWER X 101 Use the expression 10m + 3 (n + 8) + 4 (m - 5) + 9n to find its simplified form Which expression is written correctly in standard form? Be sure to clear the parenthesis first and then combine like terms.​

Answers

Answer:

"A) 12n + 14m + 4" would be the standard form.

Step-by-step explanation:

the expression written correctly in standard form would be "A) 12n + 14m + 4"

10m + 3(n + 8) + 4(m - 5) + 9n you need to first clear the parenthesis by applying distributive property:

10m + 3(n + 8) + 4(m - 5) + 9n = 10m + 3n + 24 + 4m - 20 + 9n

After that you combine like terms

= 10m + 4m + 3n + 9n + 24 - 20 = 14m + 12n + 4

"A) 12n + 14m + 4" would be the standard form.

What is the quotient − 2 3 − 8 9?

Answers

The quotient of the given expression is calculated by dividing one fraction by another fraction. The result is 0.75.

When two numbers are divided, a new number called a quotient is produced. The formula to calculate this quotient is Quotient = Dividend÷Divisor. Consider the expression 40÷4. Here, 40 is the dividend, 4 is the divisor, 10 is the quotient, and 0 is the remainder.

The given expression is (-2/3)/(-8/9). This can be solved using the formula   [tex]\frac{A}{B}\div\frac{C}{D}=\frac{A}{B}\times\frac{D}{C}[/tex]. Here, A is -2, B is 3, C is -8, and D is 9. Substituting these values, we get,

[tex]\begin{aligned}\frac{A}{B}\div\frac{C}{D}&=\frac{A}{B}\times\frac{D}{C}\\\frac{-2}{3}\div\frac{-8}{9}&=\frac{-2}{3}\times\frac{9}{-8}\\&=\frac{3}{4}\\&=0.75\end{aligned}[/tex]

The required answer is 0.75.

The complete question is -

What is the quotient (-2/3)/(-8/9)?

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Subtract.
(7j+8)–(4j+6)

Answers

[tex](7j+8)-(4j+6)[/tex]

Distribute negative sign:

[tex]7j+8+-1(4j)+(-1)(6)[/tex]

[tex]7j+8-4j-6[/tex]

Combine Like terms:

[tex](7j-4j)+(8-6)[/tex]

[tex]\fbox{3j + 2}[/tex]

Answer:

The Answer would be 0.6666 repeated

Step-by-step explanation:

I don't think that I have to explain the process. it would be too long to read!

y = 5x - 9
y = 5x + 9
Solve with substitution but i need the steps

Answers

No solution.

STEP 1:
y = 5x - 9
y = 5x + 9

STEP 2:
Substitute the given value of y into the equation y = 5x + 9.

STEP 3:
Solve the equation for x, which leads to no solution, which is what your final answer is.

100 points
solve each system by graphing

x-y=-2

and

4x-y=4

Answers

Answer:

(2, 4)

------------------------

Given system:

x - y = -24x - y = 4

Rewrite equations to bring to slope-intercept form:

y = x + 2 andy = 4x - 4

Plot each line and find the intersection, this is the solution.

The solution is (2, 4) as per attached graph.

I’ll give brainliest. Write the rule for the linear function

Answers

The linear function is y=(1/5)x+1

Draw number line to show the following

0>x≥5

Answers

How? I cant draw here but it would be the >

Determine a series of transformations that would map Figure D onto Figure E.

Answers

The series of transformations that would map figure D onto figure E is a

reflection over Y = -X.

What is a reflection?

There are two ways of reflection.

Along x-axis:

(x, y) – (x, -y)

Along y-axis:

(x, y) - (-x, y)

We have,

The coordinates of Figure D are:

(4, 1), (1, 9), (5, 9), (7, 4), (6, 4).

The coordinates of Figure E are:

(-1, -4), (-9, -1), (-9, -5), (-4, -7), (-4, -6)

We see that,

The coordinates transformation:

(4, 1) → (-1, -4)

(1, 9) → (-9, -1)

(5, 9) → (-9, -5)

(7, 4) → (-4, -7)

(6, 4) → (-4, -6)

This is a reflection over Y = -X.

The reflection over Y = -X is (x, y) → (-y, -x).

Thus,

The transformations that would map figure D onto figure E are a

reflection over Y = -X.

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What are 10 examples of a solution?

Answers

A homogeneous mixture with two or more substances is called a solution. Household remedies frequently take the form of substances that have been dissolved in water, like juice concentrate.

Define the term solution and its examples?

Solutions are any mixtures of substances that have been dissolved.

A solution can be diluted by adding more solvent or by removing solutes. You can concentrate it by removing solvent or adding more solutes.

The following are some illustrations of simple fixes:.

tea or coffee.(Sugar added to solution) Sweet tea or coffee.any juice.saltwater.bleach is a solution of sodium hypochlorite in water.Dishwater is soapy water with dissolved soap.carbonated drinks (sodas have a fizz from carbon dioxide dissolved in water).powdered beverages.salt in water solutions.soda water,

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Function or not a function?

Answers

It is a function. None of the x values repeat, making it a function
The answer for this one is function

One leg of a right triangle is decreasing at a rate of 555 kilometers per hour and the other leg of the triangle is increasing at a rate of 141414 kilometers per hour. At a certain instant, the decreasing leg is 333 kilometers and the increasing leg is 999 kilometers.

Answers

The rate of change of the area of the right triangle at that instant is -1.5 sq km/h.

Make ABC a right triangle with a right angle to B.

BC = x on the side decreasing be

with AB = y being the rising side.

After that, AC = z = (x² + y2) (using Pythagoras theorem)

Given that dx/dt is equal to -5 km/h and dy/dt is equal to 14 km/h

When x = 3 and y = 9, respectively.

currently, the triangle's area equals xy/1/2.

A = 1/2 xy

dA/dt = 1/2 (y) (y).

dy/dt = dx/dt + x/2.

by inserting the values at x = 3 and y = 9,

(dA/dt) = 1/2 (9)(-5) + 3/2 (14) (14)

= -1.5

As a result, the right triangle's area is changing at a rate of -1.5 sq km/h at the moment when x=3 and y=9.

Your question is incomplete but most probably your full question was

One leg of a right triengle is decreasing at a tate of 5 kilometers per hour and the other leg of the triangle is increasing at a rete of 14 kilometers per hour. Ara certain anstant the decreasing leg is 3 kilometers and the increasing leg is 9 kilometers. What is the rate of change of the area of the right triangle at that instant (in square kilometers per hour)? 11 e 111 01.5 -1.5 Stuck?

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Two angle measures of this triangle are 60°. Which type of triangle is it?

A.
obtuse

B.
scalene

C.
equilateral

D.
right

Answers

Answer: C. Equilateral

Step-by-step explanation:

Answer: option C is correct. two angle measures of an equilateral triangle is 60°

Step-by-step explanation: All the sides of an equilateral triangle are of equal lengths—each interior angle of this triangle measures 60°.

What are the 4 parts of a polygon?

Answers

The four parts of a polygon are: sides, vertices, diagonals, and interior angles.

What is polygon?

Polygon is a closed figure in a plane made of of straight line or curved line that insert in pairs a polygon has at least three side of angle the height can be of any length and the angle can be of any measure polygon or classified according to the number of side they have such as triangle.

A polygon is a closed, two-dimensional shape with three or more straight sides. The four parts of a polygon are: sides, vertices, diagonals, and interior angles. The sides are the straight line segments that make up the shape. The vertices are the points where the sides meet. The diagonals are line segments joining any two non-adjacent vertices. The interior angles are the angles inside the polygon, which are determined by the number of sides the polygon has.

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Mendel's law of segregation states that gametes only carry one allele for each gene. How much genetic information does a gamete carry, compared to a body cell?.

Answers

Gametes carry half the genetic information of an individual, one ploidy of each type, and are created through meiosis, in which a germ cell undergoes two fissions, resulting in the production of four gametes.

About Mendel's Law I

Mendel's Law I has another name, namely the Law of Segregation. In the Law of Segregation it states that "In the formation of gametes (sex cells) in the two genes which are partners, will be separated in two daughter cells". Mendel's Law I or the Law of Segregation applies to monohybrid crosses, aka crosses with one different trait.

Mendel's First Law also states that two alleles (gene variants) that regulate certain traits will separate in two different gametes (sex cells). Mendel's Law I includes several things, namely:

Alleles (gene variations) for inherited trait variations. For example: the colors of two different flowers, called alleles, will occupy the locus that corresponds to the homologous pair. Two alleles for a character will separate when gametes (sex cells) are produced. Example: the result of a cross containing one allele of the parent flower color (purple or white) Each character in each organism will inherit two alleles, each of which comes from the parent. Example: the result of a cross that is likely to produce 1 white allele and 1 purple allele. If there are two different alleles, one of them will be dominant, while the other will be recessive. Example: there is a marriage of purple flowers with white flowers, it will produce purple offspring.

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In a dividing competition, scores range from 0 to 10. When three judges, the number of points awarded is calculated by multiplying the sum of the scores by the degree of difficulty. Your opponent earns 40.8 points on a dive. You perform a dive with a degree of difficulty of 2.4. Two of your scores are shown. What scores from the third judge will give you more points than your opponent?

Answers

Answer:

1.5 or greater than 1.5

Step-by-step explanation:

First, we need to determine the total score of your opponent's dive:

40.8 points / 2.4 (degree of difficulty) = 17 (total score)

Now, we know that your total score needs to be greater than 17, and the scores awarded by the three judges are added together.

To calculate the scores from the third judge, we can use the following equation:

(Total score) - (score from judge 1) - (score from judge 2) = (score from judge 3)

Let's assume that you received scores of 8 and 7.5 from the first two judges.

We can plug in the values into the equation:

(Total score) - (8) - (7.5) = (score from judge 3)

We know that your total score needs to be greater than 17, so we have to find the score from the third judge, that when added to the scores 8 and 7.5, gives a total score greater than 17

17 - 8 - 7.5 = 1.5

The score from the third judge should be 1.5 or greater than 1.5 in order to give you more points than your opponent.

Select all the correct answers. Janine needs to calculate the value of log, 81. Which expressions could she input into her calculator to find this value? a. In 81/12b. log 81/log 12 c. log 81/In 12d. log 12/log 81

Answers

Options A and B are the correct answers.

The exponent or power to which a base must be raised to yield a given number is called a logarithm.

x is the logarithm of n to the base b if bx = n, in which case one writes

x = logb n.

“The logarithm of a positive real number a with respect to base b, and a positive real number not equal to 1^[nb 1], is the exponent by which b must be raised to yield a”.

b^y=a ⇔logba=y

“a” and “b” are two positive real numbersy is a real number“a” is called an argument, which is inside the log“b” is called the base, which is at the bottom of the log.

To calculate the value of log₁₂81 we use the formula of

log ab=logb/loga=ln b/ln a

log₁₂81=log₁₀81/log₁₀12

           =log81/log12

Also, log e81=loge81/loge12

                    =ln81/ln12

So, choose log81/log12 and ln81/ln12

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Answer:

see photo, they change out answer order to look close.  :-)

Step-by-step explanation:

Plato/Edmentum

do -3 and 4 and -1 and 12 have a positive sum

Answers

Answer:

Yes, they do because -3+4=1 and -1+12=11

Step-by-step explanation:

Hope it helps!

Answer: If you mean + then, 12

Step-by-step explanation:

-3 + 4 = 1     -1 + 1 = 0      0 + 12 = 12

help please i need answers

Answers

The expressions that have a sum or difference equal to 3/4 are:

11/12 - 1/6 3/5 + 3/202/3 + 1/12

The correct options are B, C, and E

What are sums and differences?

Sum mean the addition of numbers or expression

Difference means the subtraction of numbers or expressions.

The sum or difference of the number are as given below:

a. 1/2 + 2/4 = 4/4

b. 11/12 - 1/6 = (11 - 2) / 12

11/12 - 1/6 = 9/12

9/12 = 3/4

c. 3/5 + 3/20 = (12 + 3)/20

3/5 + 3/20 = 15/20

15/20 = 3/4

d. 7/8 - 1/2 = (7 - 4)/8

(7 - 4)/8 = 3/8

e. 2/3 + 1/12 = (8 + 1)/12

(8 + 1)/12 = 9/12

9/12 = 3/4

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Food Lion sells 5- 15 ounce cans of beans for $4.00 aldi sells 4- 15 ounce cans for $4.00. How much does one can sell from each store

Answers

Food lion sells one can at $0.8 and Aldi sells one can at $1.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Food Lion sells 5- 15 ounce cans of beans for $4.00.

Aldi sells 4- 15 ounce cans for $4.00.

So, Food lion sell one can

= 4/5

= $0.8

and, Aldi sells one can at

= 4/4

= $1

Hence, Food lion sell at $0.8 and Aldi sells for $1.

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Classify this pair of events: A flavor of ice cream is selected at random; A
topping for the ice cream is selected at random.
A. independent
B. dependent

Answers

A A flavor of ice cream is selected at random; A topping for the ice cream is selected at random. This is B. dependent events.

What are dependent event?

Events that are dependent upon prior events are called dependent events. The results of earlier events have an impact on these current ones. For example, two or more events that are interdependent are referred to as dependent events.

If one event is accidentally altered, another is probably going to be different.

If two events are interdependent, then the result of the first event will influence the result of the second even more.

The ice cream in this case represented dependent event.

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Use the scatter plot to answer the question.
Ten athletes ran two races of the same length. The scatter plot shows their times. Select all statements that are true.
LOADING... Click the icon to view the scatter plot.
Question content area bottom
Part 1
Select all that apply.
A.
Eight of the times for the second race were less than 15 seconds.
B.
Nine of the times for the first race were at least 14 seconds.
C.
There were three athletes who had the same time in both races.
D.
There were two athletes whose times in the two races differed by exactly 1 second.
E.
There were four athletes who were faster in the second race than in the first.

Answers

The correct statement regarding the scatter plot is given as follows:

C. There were three athletes who had the same time in both races.

What is the scatter plot?

The scatter plot is built inserting all the points of the table in a graph, which are in the following input-output format:

(Input, Output).

The input and output variables for this problem are given as follows:

Input variable: time for the first race.Output variable: time for the second race.

The points are given as follows:

(15, 15), (16, 15), (17, 15), (19, 15), (16, 16), (17, 16), (18, 16), (19, 16), (18, 18), (17, 19)

For example, the point (16, 15) means that the person took 16 seconds for the first race and 15 seconds for the second race.

Hence statement C is correct, as the points (15,15), (16, 16) and (18,18) means that there were three athletes who had the same time in both races.

Missing Information

The scatter plot is given by the image presented at the end of the answer.

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Write the rule for the linear function I will give brainliest

Answers

Answer:

2

Step-by-step explanation:

The rule is multiplying by 2 every time

-2 times 2 is -4

0 times 2 is 0

2 times 2 is 4

PLEASE HELP ME I ONLY HAVE TODAY TO COMPLETE THIS ),:
What is the radical form of each of the given expressions?

Answers

Answer:

1.  7[tex]\frac{1}{2}[/tex] = [tex]\sqrt{7}[/tex]

2. 4[tex]\frac{7}{2}[/tex] = [tex]\sqrt{4} x^{7}[/tex]

3. 7[tex]\frac{1}{4}[/tex] = [tex]\sqrt[4]{7}[/tex]

4. 4[tex]\frac{1}{7}[/tex] = [tex]\sqrt[7]{4}[/tex]

Step-by-step explanation:

I Need help asap, This is due in less than an hour!!

Answers

Can you please copy and paste it here?
-
I cannot read it clearly.

A number between 55 and 101 multiple of 2, 6, and 8

Answers

Answer:72

Step-by-step explanation:

8x9=72

2x36= 72

12x6=72

From my calculations I have gotten 80

Use method of reduction of order to find a second solution y2(x) of the homogeneuos equation and a particular solution of the given nonhomogeneous equation:
y" - 4y = 2; y1 = e^-2x
Please use equation and not substitution

Answers

The homogeneous equation and a particular solution of the given nonhomogeneous equation is [tex]& y=c_1 e^{-2 x}+c_2 e^{2 x}-\frac{1}{2}[/tex].

The given nonhomogeneous equation is y" - 4y = 2

We are given [tex]$y_1=e^{-2 x}$[/tex]

Let [tex]$y_2=u y_1$[/tex]

A linear differential equation is homogeneous if it is a homogeneous linear equation in the unknown function and its derivatives.

Non-homogeneous differential equations are simply differential equations that do not satisfy the conditions for homogeneous equations. In the past, we’ve learned that homogeneous equations are equations that have zero on the right-hand side of the equation.

The two most common methods when finding the particular solution of a non-homogeneous differential equation are:

The method of undetermined coefficients. The method of variation of parameters.

[tex]$$\begin{aligned}& y_2=u e^{-2 x} \\& y_2^{\prime}=u^{\prime} e^{-2 x}-2 u e^{-2 x} \\& y_2^{\prime \prime}=u^{\prime \prime} e^{-2 x}-2 u^{\prime} e^{-2 x}-2 u^{\prime} e^{-2 x}+4 u e^{-2 x} \\& y_2^{\prime \prime}=u^{\prime \prime} e^{-2 x}-4 u^{\prime} e^{-2 x}+4 u e^{-2 x}\end{aligned}$$[/tex]

Substitute in [tex]$y^{\prime \prime}-4 y=0$[/tex], we get

[tex]$$\begin{aligned}& u^{\prime \prime} e^{-2 x}-4 u^{\prime} e^{-2 x}+4 u e^{-2 x}-4 u e^{-2 x}=0 \\& u^{\prime \prime} e^{-2 x}-4 u^{\prime} e^{-2 x}=0 \\& e^{-2 x}\left(u^{\prime \prime}-4 u^{\prime}\right)=0 \\& u^{\prime \prime}-4 u^{\prime}=0 \\& u^{\prime \prime}=4 u^{\prime}\end{aligned}$$[/tex]

Substitute [tex]$$u^{\prime}=v$ and $u^{\prime \prime}=v^{\prime}$[/tex], we get

[tex]$$\begin{aligned}& v^{\prime}=4 v \\& \frac{d v}{d x}=4 v \\& \frac{1}{v} d v=4 d x\end{aligned}$$[/tex]

Integrate both sides, we get

[tex]$u=\frac{1}{4} C_1 e^{4 x}+C_2$$[/tex]

put in [tex]$y_2=u y_1$[/tex]

[tex]$$y_2=\left(\frac{1}{4} C_1 e^{4 x}+C_2\right) e^{-2 x}$$[/tex]

Choose [tex]$$C_1=4$ and $C_2=0$[/tex], we get

[tex]$$y_2=e^{2 x}$$[/tex]

[tex]$$\begin{aligned}& y_c=c_1 y_1+c_2 y_2 \\& y_c=c_1 e^{-2 x}+c_2 e^{2 x}\end{aligned}$$[/tex]

Particular Solution

[tex]$$\begin{aligned}& y_y=A \\& y_y{ }^{\prime}=0 \\& y_y{ }^{\prime \prime}=0\end{aligned}$$[/tex]

Substitute in [tex]$y^{\prime \prime}-4 y=2$[/tex], we get

[tex]$$\begin{aligned}& 0-4 A=2 \\& -4 A=2 \\& A=-\frac{1}{2} \\& \therefore y_y=-\frac{1}{2}\end{aligned}$$[/tex]

General Solution

[tex]$$\begin{aligned}& y=y_6+y_y \\& y=c_1 e^{-2 x}+c_2 e^{2 x}-\frac{1}{2}\end{aligned}$$[/tex]

Therefore, the second equation is [tex]& y_{2} =c_1 e^{-2 x}+c_2 e^{2 x}-\frac{1}{2}[/tex].

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Maria’s height is 134 centimeters. What is her height in meters?
m

Answers

Answer:

There are 100 centimeters in 1 meter, so Maria'e height in meters would be:

1 meter and 36 centimeters, tall.

Step-by-step explanation:

Hope it helps! =D

One angle of a triangle measures 70°. The other two angles are in a ratio of 4:7. What are the measures of those two angles?

Answers

The measure of the other two angles are 88 degrees and 22 degrees.

Let's call the two unknown angles x and y. Since the sum of all angles in a triangle is 180 degrees, we have:

x + y + 70 = 180

We also know that the ratio of the two angles is 4:7. We can set up a proportion to express this relationship:

x/y = 4/7

We can cross-multiply to get:

7x = 4y

We can substitute this equation into the first equation to eliminate one of the variables.

7x + y + 70 = 180

Now we have:

7x + y = 110

We can use the second equation to eliminate x:

7(4y/7) + y = 110

4y + y = 110

5y = 110

y = 22

Now that we know one of the angles is 22 we can substitute it back in the first equation

x+22+70 = 180

x = 88

Therefore, the measures of the other two angles are 88 and 22 degrees

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8+5x=-2
show work
check

Answers

Subtract 8 on both sides leaving you with 5x=-10
Divide 5 on both sides
X=-2
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