the radius of a circle is 4 cm what is the measure in radians of the angle subtended by an arc Pi centimeters long

The Radius Of A Circle Is 4 Cm What Is The Measure In Radians Of The Angle Subtended By An Arc Pi Centimeters

Answers

Answer 1

\(\text{Length of arc in (radian) = }\theta r\)\(L\text{ = }\pi cm,\text{ r=4cm}\)\(\begin{gathered} \pi\text{ = 4 x }\theta \\ \theta=\frac{\pi}{4} \\ \text{The angles measured in radian subtended by the arc is }\frac{\pi}{4} \end{gathered}\)


Related Questions

the distance on a ruler between 8cm and 26cm =

Answers

Answer:

18 cm

Step-by-step explanation:

To find the distance, take the larger number and subtract the smaller number

26 cm - 8 cm

18 cm

Write an equation in point-slope form of the line that passas through the point (-6,6) and has a slope of m=3/2

Answers

Answer:

2

Step-by-step explanation:

3

Solve the inequality for x.

4 − 4x < 16

x < −3
x > −3
x > 3
x < 3

Answers

Answer:

x > -3

Step-by-step explanation:

4 - 4x < 16

- 4x < 16 - 4

- 4x < 12 (note that both can be divided by -4)

x > -3

That's the final answer.

AND if you're co fused about why the sign changed, you should always remember this

ALWAYS change the inequality sign when you divide (÷) or multiply (×) by a negative number

By negative num I mean any number that starts with a minus for example -2, -3, -5, -100

Is 40.8 less than or greater than 0.71

Answers

Answer: greater than

Step-by-step explanation:

40.8 is greater than 0.71

what is the arc measure of minor arc DE in degrees?

help lol

what is the arc measure of minor arc DE in degrees?help lol

Answers

Answer:

DE= 39°

Step-by-step explanation:

(4w+ 4 )+(4w+8)= 180

Solve for w

8w + 12 = 180

8w = 180-12

8w = 168

W= 21°

(4w+ 4)+(2w+11)+DE = 180

But w= 21°

((4*21 )+4)+((2*21)+11)+DE = 180

88 + 53 + DE = 180

DE = 180-88-53

DE= 39°

Rules for dividing fractions

Answers

Answer:

To divide fractions, you need to follow these steps:

Flip the second fraction (the one you want to divide by) upside down (this is called taking the reciprocal).

Multiply the first fraction by the reciprocal of the second fraction.

Simplify the resulting fraction if possible.

Here is an example:

1/3 ÷ 2/5

Step 1: Flip the second fraction: 2/5 becomes 5/2.

Step 2: Multiply the first fraction by the reciprocal of the second fraction: 1/3 x 5/2 = 5/6.

Step 3: Simplify the resulting fraction if possible: 5/6 is already in its simplest form.

For more examples and explanatTo divide fractions, you need to follow these steps:

Flip the second fraction (the one you want to divide by) upside down (this is called taking the reciprocal).

Multiply the first fraction by the reciprocal of the second fraction.

Simplify the resulting fraction if possible.

Here is an example:

1/3 ÷ 2/5

Step 1: Flip the second fraction: 2/5 becomes 5/2.

Step 2: Multiply the first fraction by the reciprocal of the second fraction: 1/3 x 5/2 = 5/6.

Step 3: Simplify the resulting fraction if possible: 5/6 is already in its simplest form.

Step-by-step explanation:

brainliest pls

Answer:

Step-by-step explanation:

For dividing fractions:

Remember:

Keep Change Flip

Keep the first the same

Change the sign to multiplication

Flip the second fraction.

EX.

\(\frac{4}{5}\) ÷ \(\frac{1}{2}\)                           >Keep, Change Flip

=\(\frac{4}{5}\) * \(\frac{2}{1}\)                          >Now it's multiplication, reduce first if you can

                                    (nothing reduces in this problem), so mulitply

                                    across

= \(\frac{8}{5}\)

Consider the scatterplot above. Write a sentence explaining the meaning of the value of the slope for this linear model. The is an average of per year .

Consider the scatterplot above. Write a sentence explaining the meaning of the value of the slope for

Answers

Answer:

Slope: The percent that voted falls by 0.1271 units per year.

Step-by-step explanation:

The slope of a regression line represent the average rate of change in the dependent variable (y) based upon the changes in the independent variable (x).

In this case the regression equation provided is:

y = -0.1271 x + 307.53

The slope of the line is -0.1271.

The dependent variable is the percent that voted and the independent variable is the year.

The slope of -0.1271 indicates that every year, on average, the percent that voted decreases by 0.1271 units.

Or the percent that voted falls by 0.1271 units per year.

a track coach creates an obstacle course for his team. the coach plots the locations of the three obstacles on the coordinate plane shown to the right. each unit on the coordinate plane represents three yards. a student starts at Obstacle A. Then runs south to obstacle b, and then runs west to obstacle c. what is the total distance, in yards, the student runs to get from obstacle a to obstacle c?

Answers

The Total Distance is 51 yards.

What are Coordinates?

Coordinates are a pair of integers (Cartesian coordinates), or sporadically a letter and a number, that identify a certain place on a grid, also referred to as a coordinate plane. The x axis (horizontal) and y axis are the two axes that make up a coordinate plane (vertical).

Given:

As, A and B have same x- coordinate

AB = | (y- coordinate of A) - (y- coordinate of B)|

     = |5 - (-2)|

     = 7

and, B and C have same y- coordinate

AB = | (x- coordinate of B) - (x- coordinate of A)|

     = |3 - (-7)|

     = 10

Then, Total distance= 7+ 10= 17

and, Total distance in yards = 17 x 3= 51 yards

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The measure of an angle is 89. Find the measure of its supplement
a. 91
b. 89
c. 90
d. 80

Answers

Answer:

A. 91

Step-by-step explanation:

Supplementary angles are 2 angles that when added together, equal 180 degrees. 91+89=180

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Jack leaves home for school on his bike every day at 6 a.m., travelling at 32 km/h.
One day he forgot his homework, which his mother discovered in the car 15 minutes after he had left.
She immediately left home and chased after Jack, travelling at 52 km/h.
At what time did she catch up to him?

Answers

To determine the time at which Jack's mother caught up to him, we need to calculate the time it took for her to catch up based on the relative speeds of both individuals.

Let's break down the information given:

- Jack's speed: 32 km/h
- Jack left at 6 a.m.
- Jack's mother's speed: 52 km/h
- Jack's mother discovered the homework 15 minutes after Jack had left.

First, we need to convert the 15 minutes of delay into hours. There are 60 minutes in an hour, so 15 minutes is equal to 15/60 = 0.25 hours.

Now, let's calculate the time it took for Jack's mother to catch up to him:

Distance traveled by Jack in 0.25 hours = Jack's speed * time
Distance traveled by Jack in 0.25 hours = 32 km/h * 0.25 hours = 8 km

Since Jack's mother is traveling at a faster speed than Jack, she will cover this distance faster. To determine the time it takes for her to catch up, we divide the distance by her speed:

Time taken for Jack's mother to cover 8 km = Distance / Speed
Time taken for Jack's mother to cover 8 km = 8 km / 52 km/h ≈ 0.154 hours

Now, we can add this time to the initial delay of 0.25 hours to find out when Jack's mother catches up to him:

Time when Jack's mother catches up to him = 6 a.m. + 0.25 hours + 0.154 hours

To simplify the calculation, we can convert the minutes into hours:

0.25 hours + 0.154 hours = 0.404 hours

Converting back to minutes:

0.404 hours * 60 minutes/hour ≈ 24.24 minutes

Adding this to the initial time of 6 a.m.:

Time when Jack's mother catches up to him ≈ 6:24 a.m.

Therefore, Jack's mother catches up to him at approximately 6:24 a.m.

- 21-p-11)

Giving branliest

Answers

Answer:

-32-p

Step-by-step explanation:

you combine the like terms which would be -21 and -11. that gives you -32 and -p is just by its self since there are no terms to combine it with

answer the number 2 only

answer the number 2 only

Answers

The missing variables on item 2 are given as follows:

\(o = 12\sqrt{3}\)i = 24.

What are the trigonometric ratios?

The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the formulas presented as follows:

Sine = length of opposite side to the angle/length of hypotenuse of the triangle.Cosine = length of adjacent side to the angle/length of hypotenuse of the triangle.Tangent = length of opposite side to the angle/length of adjacent side to the angle = sine/cosine.

For the angle of 60º, we have that:

o is the opposite side.12 is the adjacent side.

Hence the length o is given as follows:

tan(60º) = o/12.

\(\sqrt{3} = \frac{o}{12}\)

\(o = 12\sqrt{3}\)

Applying the Pythagorean Theorem, the length i is given as follows:

i² = 12² + \((12\sqrt{3})^2\)

i² = 576

i² = 24²

i = 24.

A similar problem, also about trigonometric ratios, is given at brainly.com/question/24349828

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Answer:

o = 12√3

i = 24

Step-by-step explanation:

From observation of the given right triangle, we can see that two of its interior angles measure 60° and 90°. As the interior angles of a triangle sum to 180°, this means that the remaining interior angle must be 30°, since 30° + 60° + 90° = 180°. Therefore, the triangle is a special 30-60-90 triangle.

The side lengths in a 30-60-90 triangle have a special relationship, which can be represented by the ratio formula a : a√3 : 2a, where "a" represents a scaling factor that can be any positive real number.

Side a is opposite the 30° angle (shortest leg).Side a√3 is opposite the 60° angle (longest leg).Side 2a is the hypotenuse (longest side).

In triangle #2, the shortest leg is 12 units.

As "a" is the shortest leg, the scale factor "a" is 12.

The side labelled "o" is the longest leg opposite the 60° angle. Therefore:

\(o = a\sqrt{3}=12\sqrt{3}\)

The side labelled "i" is the hypotenuse of the triangle. Therefore:

\(i= 2a = 2 \cdot 12=24\)

Therefore:

o = 12√3i = 24

What is the range of the function? f(x)=3^x−1−2

Answers

The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is  y > -2

Calculating the range of the equation?

From the question, we have the following parameters that can be used in our computation:

f(x) = 3ˣ ⁻ ¹ - 2

The above equation is an exponential function

The rule of an exponential function is that

The domain is the set of all real numbersHowever, the range is always greater than the constant term

In this case, it is -2

So, the range is y > -2

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A football team loses 5 yards on each of 3
consecutive plays. What signed number
represents the team's total loss of yards on
the 3 plays?

PLEASE WRITE CORRECT ANSWER, I’LL GIVE BRAINLIEST!!

Answers

Answer:

15 yards within 3 consecutive plays

WILL GIVE BRAINLIEST FOR THE CORRECT ANSWER!!

What scale factor was applied to the first rectangle to get the resulting image?

Enter your answer as a decimal in the box.

WILL GIVE BRAINLIEST FOR THE CORRECT ANSWER!!What scale factor was applied to the first rectangle to

Answers

Answer:

2.5

Step-by-step explanation:

the length has increased by 7.5/3 = 2.5.

so the scale factor is 2.5

Find the minimum value of
C = 6x + 3y
Subject to the following constraints:
x > 1
y ≥ 1
4x + 2y < 32
2x + 8y < 56

Answers

Answer:

  9

Step-by-step explanation:

You want the minimum value of objective function C=6x+3y, given the constraints x>1, y≥1, 4x+2y<32, and 2x+8y<56.

Minimum

The objective function has positive coefficients for both x and y, so it will be minimized when x and y are at their minimum values. The constraints tell you these minimum values are x=1 and y=1, so the minimum value of C is ...

  C = 6(1) +3(1) = 9

The minimum value of C is 9.

__

Additional comment

The value of x cannot actually be 1, so the value of C cannot actually be 9. However x may be arbitrarily close to 1, so C may be arbitrarily close to 9.

  C = 6x +3y   ⇒   x = (C -3y)/6

The x-constraint requires ...

  x > 1

  (C -3y)/6 > 1

  C -3y > 6 . . . . . . multiply by 6

  C > 6 +3y . . . . . . add 3y

The minimum value of y is exactly 1, so we have ...

  C > 6 +3(1)

  C > 9

Use the two given functions to write y as a function of x.
y = -3a + 3, a = -5x + 1

Answers

Answer:

Step-by-step explanation:

To write y as a function of x using the given functions, we can substitute the value of "a" in the first equation with the expression "-5x + 1" from the second equation.

Given:

y = -3a + 3

a = -5x + 1

Substituting the value of "a" in the first equation:

y = -3(-5x + 1) + 3

Now, let's simplify this expression:

y = 15x - 3 + 3

y = 15x

Therefore, y can be expressed as a function of x as:

y = 15x

The equation of a parabola is y=x2+6x+9. Write the equation in vertex form.

Answers

The vertex form of equation is y=1.(x+3)²+0

What is vertex form of equation?

The standard form of the equation is ax²+bx+c=y and the vertex form of the equation is y= a(x-h)²+k,

Where k is a constant.

The given standard form of equation of parabola,

y=x²+6x+9

To change equation y=x²+6x+9 in vertex form, change the right-hand term in square form,

Y=(x+3)²

The vertex form of equation is,

Y=(x+3)²+0

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please help with this algebra question

please help with this algebra question

Answers

Answer:

i think its

\(P(x) = i ^{3}\)

Step-by-step explanation:

Your software development company is taking on a new project. You estimate that the project will take 500 hours. Ten percent of this time will be your labor, which costs $65 per hour. The rest of the labor is to be split between 3 members of your development team evenly. The head developer on the project makes $45 per hour, and his two assistants make $30 per hour each. What is the total estimated cost of the project?

Answers

10% of 500 is 50, 50*65 = $3,250

Rest of labor would be 450 hours, split between 3 members of the development team, so 450➗3 = 150 hours each.

The head developer makes $45 per hour: 150*45 = $6,750

An assistant makes $30 per hour: 150*30 = $4,500

Since it’s 2 assistants: 4,500*2 = $9,000

Now you add everything up:
3250 + 6750 + 9000 = $19,000

The total estimated cost of the project is of $19,000 dollars.

Please I need help for this..


Kelly works in a grocery store stocking shelves. The graph below shows the money Kelly earns stocking shelves.




Write an equation to represent the money Kelly earns in relationship to the hours she works. Let m represent the money she earns, and let h represent the number of hours she works.

Please I need help for this.. Kelly works in a grocery store stocking shelves. The graph below shows

Answers

Answer: m=1/8h

Step-by-step explanation:

When writing a linear equation, the slope is always rise over run. When it rises (goes up) 1, it runs (goes to the side 8. So the slope is 1/8. There is no y intercept because the line passes through (0, 0). The equation is m= because the amount of money earned equals 1/8h.

(-2, 5) and (-4,-5).

Answers

Answer: the distance between the points (-2, 5) and (-4, -5) is approximately 10.198 units.

Step-by-step explanation:

(-2, 5) and (-4,-5) are two points in the coordinate plane.

The first point (-2, 5) has an x-coordinate of -2 and a y-coordinate of 5. This point is 2 units to the left of the y-axis and 5 units above the x-axis.

The second point (-4, -5) has an x-coordinate of -4 and a y-coordinate of -5. This point is 4 units to the left of the y-axis and 5 units below the x-axis.

To find the distance between these two points, we can use the distance formula:

distance = sqrt[(x2 - x1)^2 + (y2 - y1)^2]

Plugging in the coordinates of the two points, we get:

distance = sqrt[(-4 - (-2))^2 + (-5 - 5)^2] = sqrt[(-2)^2 + (-10)^2] = sqrt[104]

So the distance between the points (-2, 5) and (-4, -5) is approximately 10.198 units.

STD 10

Mathematics

Lesson 5

Arithmetic progress

State whether true or false.

1) 6 , 12 , 18 , 24 , .......... , 284 is an A.P. ?​

ANSWER IS TRUE

Answers

Answer:

False

Step-by-step explanation:

Given

\(6 , 12 , 18 , 24 , .......... , 284\)

Required

Determine if it is an AP or not

First, calculate the common difference (d)

\(d = 24 - 18=6\)

\(d = 18 - 12=6\)

\(d = 12 - 6=6\)

Next, is to determine if the last term is valid using:

\(T_n = a + (n - 1) d\)

So, we have:

\(284 = 6 + (n - 1) * 6\)

\(284 = 6 + 6n - 6\)

Collect like terms

\(284 = 6 - 6+ 6n\)

\(284 = 6n\)

Divide by 6

\(284/6 = n\)

\(n = 284/6\)

\(n = 47.33\)

The value of n must be a positive whole number. Hence, it is not an AP

Solve, m - 1= 8+Your answer

Answers

We have the equation:

\(\begin{gathered} m-1=8 \\ \\ m-1+1=8+1 \\ m=9 \end{gathered}\)

To solve this type of equations, yo have to apply the same operation to both sides in order to clear the unknown variable (in this case, m).

Each big square below represents one whole. what percent is represented by the shaded area?

Each big square below represents one whole. what percent is represented by the shaded area?

Answers

Answer:

52 %

Step-by-step explanation:

Total number of squares = 100

Number of shaded squares = 52

% of shaded squares

= ( 52 / 100 ) x 100

= ( 52 x 100 ) / 100

= 5200 / 100

= 52 %

two equations in standard for equivalent to x+y=-10

Answers

Y=-x-10 orrrr y=x+10

Alexandra invested $610 in an account paying an interest rate of 7 3/8% compounded

daily. Madeline invested $610 in an account paying an interest rate of 7 7/8%

compounded continuously. After 16 years, how much more money would Madeline

have in her account than Alexandra, to the nearest dollar?

Answers

Exact answer: 165.5754

Rounded to the nearest dollar: 166

he table below shows how many people have signed up for a walking fundraiser. The walkers are being organized in groups of 15 people. How many groups will there be? (

Answers

Answer:

But there is no table ....

hope you may show the table so that we would find the answer

Mr. Schneider paid $2276.35 to have a landscaper build a patio with the dimension below. How much did the landscaper charge for each square metre of patio? 3.2m 5.4m 1.8m 1.2m

Answers

Answer:

Step-by-step explanation:

Since we are not given the dimension. Let us say the shape of the patio is a rectangle with length 30m and width 18m.

Area of the rectangle = Length * Width

Area of the rectangle = 30 * 18

Area of the rectangle = 540m²

This means that 540m² of the patio costs $2276.35. To get the cost of each square metre of patio, we will say;

540m² = $2276.35

1m² = x

cross multiply;

540x = $2276.35

x = $2276.35/540

x = $4.22

Hence each square meter of patio will cost $4.22

Note that the dimension of patio was assumed. Same explanation can be employed for any dimension.

Solve for the volume of the rectangular prism. Use the formula
sheet for support.
3 in
5 in
12 in

Answers

So you will multiple all numbers by all numbers so 3x5x12=180 or 5x12=60 60x3=180 The answer is 180cm3
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