what is the measure of ∅?

A. 2.5 π radians
B. 2.5 radians
C. 4 radians
D. 5 radians​

What Is The Measure Of ?A. 2.5 RadiansB. 2.5 RadiansC. 4 RadiansD. 5 Radians

Answers

Answer 1

Answer:

C. 4 radians

Step-by-step explanation:

[tex]20=\frac{\pi (Ctrl.Angle)(5)}{180}[/tex]

Ctrl Angle = ∅

∅ = [tex]\frac{(20)(180)}{5\pi } =\frac{3600}{5\pi } =\frac{720}{\pi }[/tex]

in radians:

∅ = [tex]\frac{720}{180} =4[/tex]

Hope this helps


Related Questions

Find the range of f(x) = 3x + 2 for the domain = {1, 2, 3}.

Answers

Answer:

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.Interval Notation:..

(-∞,∞)

Set-Builder Notation:

{x|x∈ℝ}

The range is the set of all valid yy values. Use the graph to find the range…

Interval Notation:

(-∞,∞)

Set-Builder Notation:

{y|y∈R}

Determine the domain and range…

Domain: (−∞,∞),{x|x∈R}

Range:   (−∞,∞),{y|y∈R}

Answer:

{ 5, 8, 11 }

Step-by-step explanation:

the range is the corresponding values of f(x) for the values of x in the domain.

substitute the x- values from the domain into f(x)

f(1) = 3(1) + 2 = 3 + 2 = 5

f(2) = 3(2) + 2 = 6 + 2 = 8

f(3) = 3(3) + 2 = 9 + 2 = 11

range is { 5, 8, 11 }

Determine the missing information in the paragraph proof.

Given: Line PQ is rotated 90° counterclockwise to form line P’Q’. The lines are perpendicular. Line PQ contains the points (a, b) and (c, d). Line P’Q’ contains the points (–b, a) and (–d, c).

Prove: The slopes of perpendicular lines are negative reciprocals.

On a coordinate plane, 2 perpendicular lines are shown. Line P Q has points (a, b) and (c, d). Line P prime Q prime has points (negative b, a) and (negative d, c).

The slopes of lines PQ and P’Q’ can be determined using the formula m = StartFraction v 2 minus v 1 Over x 2 minus x 1 EndFraction

The product of these slopes is ________. This product shows that the slopes are negative reciprocals. It is given that the lines are perpendicular and we have shown that the slopes of the lines are negative reciprocals.
(StartFraction d minus b Over c minus a EndFraction) (StartFraction c minus a Over negative d + b EndFraction) = negative 1
(StartFraction b minus a Over a + b EndFraction) (StartFraction c minus d Over negative d minus c EndFraction) = negative 1
(StartFraction d minus b Over c minus a EndFraction) (StartFraction c minus a Over negative d + b EndFraction) = 1
(StartFraction b minus a Over a + b EndFraction) (StartFraction c minus d Over negative d minus c EndFraction) = 1
Mark this and return

Answers

The slopes of perpendicular lines are negative reciprocals is proved.

What is Equation of a Straight Line ?

An equation of a straight line is given by

y = mx +c

It is given that

Line PQ is rotated 90° counterclockwise to form line P’Q’. The lines are perpendicular.

Line PQ contains the points (a, b) and (c, d). Line P’Q’ contains the points (–b, a) and (–d, c).

The slopes of lines PQ and P’Q’ can be determined using the formula

[tex]\rm m = \dfrac{ v _2 - v _1 }{ x _2 -x _1 }[/tex]

The product of these slopes is -1 .

This product shows that the slopes are negative reciprocals

Therefore , The slopes of perpendicular lines are negative reciprocals is proved,

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What is the value of x?


A. 6

B. 6√2

C. 12

D. 12√2

Answers

Answer:

the answer is c

Step-by-step explanation:

i got it right on my test. Hope This helps!

Solve the equation.
4.5=0.5n

Answers

Divide by 0.5 on both sides
4.5 divided by 0.5 = 9
Have a nice day

the area of a cylinder is 25[tex]\pi[/tex]cm2 and its height is 11 cm.
find the base diameter and area of the wrapper in terms of [tex]\pi[/tex]

Answers

The diameter of cylinder is 2.28 cm and area of wrapper is 60.56π cm².

What is Cylinder?

A cylinder is a three-dimensional solid figure which has two identical circular bases joined by a curved surface at a particular distance from the center which is the height of the cylinder.

Here, Given area of cylinder = 25π cm²

          Height of cylinder = 11 cm.

Now, Area of Cylinder = 2πrh

                  25π = 2πr X 11

                   25 = 22r

                    r = 25 / 22

                  r = 1.14 cm

Then, diameter = 2r = 2 X 1.14 = 2.28 cm

Now area of wrapper = total surface area = 2πr(r + h)

                                    = 2π X 2.28 (2.28 + 11)

                                   = 4.56π X 13.28

                                   = 60.56π cm²

Thus, the diameter of cylinder is 2.28 cm and area of wrapper is 60.56π cm².

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The starting salary for a particular job is 1.2 million per annum. The salary increases each year by 75000 to a maximum of 1.5million. In which year is the maximum salary reached...... How much money would the person earn in that time

Answers

The maximum salary reached in 5th month.

What is Arithmetic Progression?

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant

For the first year, salary  = 1,200,000

For the second year, salary

= 1,200,000 + 75,000 = 1,275,000

For the last year, salary  = 1,500,000

We get the AP as

1,200,000,  1,275,000, .... ,  1,500,000

a= 1,200,000  and d = 75000

Now using

L = a + (n - 1)d

1,500,000 = 1,200,000 + (n-1) 75,000

300,000 = 75,000(n-1)

300000/75000= n-1

4= n-1

n= 5

Hence, in the 5th year the maximum salary will be reached.

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What are coefficients in the expression 2+6+10b-8a

Answers

[tex]\boldsymbol{Answer:}[/tex] 10 and -8 ✅

[tex]\boldsymbol{Step-by-step\;explanation:}[/tex]

Hii, do you need to know the co-efficients in the expression [tex]"\boldsymbol{2+6+10b-8a}"[/tex]? No problem! (:

What are Co-efficients?

A "co-efficient" is a number that comes before a variable.

Here there are only two such numbers: "10" and "-8"; 10 comes before b, and -8 comes before a. 2 and 6 don't come before any variables at all, so they are not co-efficients.

Voila! There's our solution, cheers! (:

--

Hope that this helped! Best wishes.

[tex]\it Reach\;far.\;Aim\;high.\;Dream\;big.[/tex]

[tex]\bigstar\underbrace[/tex]

--

An electronics store researched the TV sales in the last 6 months. The probability a customer would purchase the Brand 1 model TV was 70% while the rest of the customers purchased the Brand 2 model. Furthermore, 20% of the Brand 1 customers purchased an extended warranty while 40% of Brand 2 customers purchased an extended warranty. A customer is randomly selected from among all those who bought a TV from the store. What is the probability that the selected customer purchased a Brand 1 model and an extended warranty

Answers

The probability that the selected customer purchased a Brand 1 model is 0.14.

Given that probability a customer would purchase the Brand 1 model TV was 70% while the rest of the customers purchased the Brand 2 model. and 20% of the Brand 1 customers purchased an extended warranty while 40% of Brand 2 customers purchased an extended warranty.

The probability that a customer would purchase Brand 1 model TV P(A)=0.70.

The probability that a customer purchases the extended warranty given that the customer purchased the Brand 1 model TV is

P(B|A)=0.20

P(A and B)÷P(A)=0.20

P(A and B)÷0.70=0.20

P(A and B)=0.14

Hence, the probability that the selected customer purchases a Brand 1 model and an extended warranty is 0.14.

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What was the problem at kenya airways described in this case? what management, organization, and technology factors contributed to this problem?

Answers

The management, organisation, and technology factors contributed to this problem are listed below.

What was the problem at Kenya Airways ?

The  problem in the airways was that corporation didn't know its customers, the airline hasn't been able to take use of its market opportunity in recent years.

Airways was unable to evaluate and keep track of its marketing efforts.

The technology factor that contributed were:

No reliable systems for tracking and accounting.The technology used was neither accurate nor consistent.

The Organisation factors that contributed were

No communication between the organisation and the customersNo track record of the online campaigns and advertisement output Customer Relations Needed to be improved.

The Management factors that contributed were

The management never gave reviews to the organisation about the failing system The management even didn't take reviews from the customers and from the people working.

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1. SPORTS Hector wants to buy a new football. He initially thought it would cost $36, but when he went to the sporting goods store it was discounted 20%. What is the sale price of the football? 1. SPORTS Hector wants to buy a new football . He initially thought it would cost $ 36 , but when he went to the sporting goods store it was discounted 20 % . What is the sale price of the football ?

Answers

Answer:

It cost Hector $28.8

Step-by-step explanation:

How to find the answer:

36 - 20%

= $28.8

Work out the volume of the cone, giving your answer
to 3 significant figures.
7 cm
24 cm
25 cm
= πr²h |
Volume of cone =
cm³

Answers

Answer: 1230

Step-by-step explanation:

[tex]V=\frac{1}{3}(\pi)(r^{2)h=\frac{1}{3}(\pi)(7^{2})(24) \approx \boxed{1230 \text{ cm}^{3}}[/tex]

Which of the following objects is considered to be one-dimensional because it ha length but no width or height?
A. Line segment
B. Point
C. Triangle
D.Cube

Answers

A line is a one-dimensional ger
straight -undefined figure whicl
thickness or depth. It extends
both directions.
A line segment is a part of a lin
points on both the sides.
It has only length therefore, it i:
dimensional.
Best possible solution would be

A. Line segment

Need help urgently please

Answers

1/2x+6(x+15)=12
1/2x+6x+90=12
6.5x+90=12
6 1/2x= -78
x= -12

y= -12+15
y=3
nah as smalala she hiss amal and skids is sus sike

If area of a circle is 49/64 pie cm square,then find the circumference of the circle?​

Answers

Answer:

7/4 * pi

Step-by-step explanation:

Area of circle = pi * r^2

Find radius:

pi * 49/64 = pi * r^2

49/64 = r^2

7/8= r

Circumference of circle = 2pi * r

2 * pi * (7/8) = 7/4 * pi

Assuming that the answer is in terms of pi as the question is in terms of pi

f(x) = 3x + 2
g(x) = x^2 + 1
find gf(x) in the form ax^2 + bx + c

please add an explanation because i’ve seen it being solved i just do not understand some steps

like, where does 12x come from

Answers

Answer:

g(f(x)) = 9x² + 12x + 5

Step-by-step explanation:

g(f(x))

= g(3x + 2) ← substitute x = 3x + 2 into g(x)

= (3x + 2)² + 1

to expand (3x + 2)² = (3x + 2)(3x + 2)

each term in the second factor is multiplied by each term in the first factor

3x(3x + 2) + 2(3x + 2) ← distribute both parenthesis

= 9x² + 6x + 6x + 4 ← collect like terms

= 9x² + 12x + 4

then

g(f(x)) = (3x + 2)² + 1 = 9x² + 12x + 4 + 1 = 9x² + 12x + 5

1. Select all the true statements.
A. √-I is an imaginary number.
-1
B. There are no real numbers that satisfy the equation x = √√-1.
C. Because √-I is imaginary, no one does math with it.
D. The equation x² = -1 has real solutions.
E. √-T = -1 because -1 -1 = -1.

Answers

Answer:

A , B , D

Step-by-step explanation:

For what value of g does the function f(g) = g2 + 3g equal 18?
A.
2
B.
3
C.
4
D.
6
E.
8

Answers

Answer:

B) 3

Step-by-step explanation:

f(3) = 3^2 + 3(3) = 9 + 9 = 18

Carmela opened her piggy bank and found she had $15.30. If she had only nickels, dimes, quarters, and half-dollars and an equal number of coins of each kind, how many coins did she have in all

Answers

Answer:

  68 coins

Step-by-step explanation:

We can use the given information to write two equations involving the numbers of coins. One will express the total number of coins; the other will express their value.

__

setup

Since there are equal numbers of coins of each type, we can let n represent the number of each kind of coin. The total number coins will be ...

  n +n +n +n + N . . . the sum of numbers of nickels, dimes, quarters, halves

The value of the coins is ...

  0.05n +0.10n +0.25n +0.50n = 15.30

solution

The second equation lets us find the value of n:

  0.90n = 15.30

  n = 17 . . . . . . . . divide by 0.90

Then the number of coins in all is ...

  4n = N

 4(17) = N = 68

Carmela had 68 coins in all.

how do you write 0.8 recurring as a fraction?

please can i have an explanation aswell :)

Answers

Answer:

[tex]\frac{8}{9}[/tex]

Step-by-step explanation:

we require 2 equations with the repeating digits placed after the decimal point.

let x = 0.888.. (1) ← multiply both sides by 10

10x = 8.888.. (2)

subtract (1) from (2) thus eliminating the repeating digits

9x = 8 ( divide both sides by 9 )

x = [tex]\frac{8}{9}[/tex]

HJ=
help me please thannk u :)​

Answers

Answer:

10 is the answer. hj is 10

Which term describes the red curve in the figure below?

Answers

circle. the red figure has the shape of a circle.

A cake decorator is rolling a square of fondant into a rectangle. the area of the rectangle can be represented by the expression 1.5s(2s). simplify the expression representing the area. 3.5s 3s2 3.5s2 3s

Answers

Answer:3.5s2

Step-by-step explanation:

because I said so

Answer:

3.5s2

Step-by-step explanation:

because that guy said so and it was right

What are the minor arcs of O?

Answers

Answer:

3rd answer

Step-by-step explanation:

Pay attention to the arcs,  minor arcs are less than 180 degrees

Who wants to solve a question

Answers

70 packages can be filled from a jar that contains 7/8pounds of the leaves

Ratio and proportions

Fractions are written as a ratio of two integers. If each bad contains 1/80 pound peppermint leaves, then;

1/80pounds = 1 package

To determine the total package for 7/8 pounds of leaves

7/8 pounds = x

Take the ratios

1/80 * 8/7 = 1/x

8/560 = 1/x

x = 560/8

x = 70

70 packages can be filled from a jar that contains 7/8pounds of the leaves

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On a coordinate plane, 2 dashed lines are shown. The first straight line has a negative slope and goes through (0, 1) and (2, 0). Everything below and to the left of the line is shaded. The second straight line has a positive slope and goes through (negative 1, 0) and (0, 2). Everything above and to the left of the line is shaded. A point is shown at (negative 3, 1).
Which system of inequalities with a solution point is represented by the graph?

y > 2x – 2 and y < Negative one-halfx – 1; (3, 1)
y > 2x – 2 and y < Negative one-halfx + 1; (–3, 1)
y > 2x + 2 and y < Negative one-halfx – 1; (3, 1)
y > 2x + 2 and y < Negative one-halfx + 1; (–3, 1)

Answers

Answer:

Using the concepts of coordinate system and equation of line, we find that y ≥ (1/3)x + 3 and 3x-y > 2 are represented by the graph.

Step-by-step explanation:

Equation of line passes through points (a, b) and (c, d) is given by:

y-b = [(d-b) / (c-a)] / (x-a)

Given that the first solid line (≤ or ≥) has a positive slope and goes through (0, 3) and (3, 4).

y-3 = [(4-3) / (3-0)] / (x-0)

y-3 = x / 3

y - (1/3)x = 3

Also, everything above the line is shaded, i.e. the inequality represents the first graph: y ≥ (1/3)x + 3

The second dashed line (< or >) has a positive slope and goes through (0, - 2) and (1, 1).

y+2 = [(1+2) / (1-0)](x-0)

y+2 = 3x

3x-y = 2

Everything to the right of the line is shaded.

i.e. inequality represents the second graph: 3x-y > 2

Hence, the system of linear inequalities is represented by the graph :

y ≥ (1/3)x + 3

3x-y > 2

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Answer:

D

Step-by-step explanation:

Got it right on edge 2022

)In the figure below, lines m and n are parallel:

Two parallel lines are shown crossed by a transversal. The angles are labeled with number 1-8. The angles on line m where the line is crossed by the transversal are 1, 2, 4, and 3 in clockwise order from top left. The angles on line n where the line is crossed by the transversal are 5, 6, 8, and 7 in clockwise order from top left.

In the diagram shown, ∠6 measures 97 degrees. What is the measure of ∠5?

83 degrees
90 degrees
97 degrees
180 degrees

Answers

Based on the linear pair theorem, the measure of angle 5 is: A. 83 degrees.

What is the Linear Pair Theorem?

The linear pair theorem states that if two angles are on a straight line, the sum of their measures equals 180 degrees.

∠5 and ∠6 are a linear pair. Therefore:

m∠5 = 180 - m∠6

m∠5 = 180 - 97

m∠5 = 83°

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Answer:83 degrees

Step-by-step explanation:topG

Let a and b be real numbers where a . Which of the following functions could represent the graph below?


f(x) = x(x – a)3(x – b)3
f(x) = (x – a)2(x – b)4
f(x) = x(x – a)6(x – b)2
f(x) = (x – a)5(x – b)

Answers

It can be deduced that the option that represents the graph is B. f(x)=(x-a)²(x-b)⁴

How to solve the graph?

From the graph, a and b be real numbers where a = b = 0. In this case, zero is not a root of the polynomial function

When the graph touches the x-axis at two point l, it implies that means that both the roots of the polynomial equation are of even degree.

Thus, the correct option B. i.e. f(x)=(x-a)²(x-b)⁴

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The coefficient of 8 · 2N is

Answers

Answer:

the leading coefficent is 16 or 16n (leading term)

Step-by-step explanation:

Complete the equations

Answers

Answer:

[tex]\boxed{\bf f(x)=4\cdot \left(\cfrac{7}{4}\right)^x}[/tex]

Step-by-step explanation:

In exponential form, a* b^x,

Where, "a" is value of the function when x=0 and "b" is the constant ratio of f(x) for consecutive for integer values of x.

Y-intercept : (0, 4) so, a = 4.

The graph also passes through (1,7), because 0 and 1 are consecutive integer x-values.

[tex]\bf b=\cfrac{7}{4}[/tex]

So therefore, the equation for f(x) is :-

[tex]\bf f(x)=4\cdot \left(\cfrac{7}{4}\right)^x[/tex]

_______________________

Some people took part in a game. The frequency shows information about their scores. Score Frequency 1 - 7 13 8 - 10 14 11 - 15 18 16 - 20 6 21 - 35 13 36 - 50 19 Estimate the mean. Give your answer rounded to 2 decimal places.

Answers

The mean is 20.7

What is Mean?

Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.

Class     Frequency{f}      Midpoint of frequency{x}                fx    

1-7                    13                              4                                             72

8-10                  14                             9                                              126

11-15                  18                            13                                            234

16-20                6                           18                                              108

21-35                 13                           28                                           364

36-50                19                            43                                          817

Sum                   83                                                                          1721

So,

Mean = 1721/83 = 20.7

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