Find the exact arc length of the given arc. show all work and leave terms of pi and reduce your fraction.

Find The Exact Arc Length Of The Given Arc. Show All Work And Leave Terms Of Pi And Reduce Your Fraction.

Answers

Answer 1

Answer:

20/3pi

Step-by-step explanation:

[tex] \frac{75}{360} \times 2\pi \times 16 \\ = \frac{2400}{360} \pi\\ = \frac{20}{3} \pi\\ = 20.94 \: cm[/tex]

Please give brainliest if it helps


Related Questions

P={x:x is a natural number,x<9​

Answers

Answer:

x:x = 1 so it is a natural number

Step-by-step explanation:

it can be any negative number because: -x<9

and any number from 1 to 8

(x cannot be 0, because you cannot do 0/0 = 1)

This question is incomplete and cannot be answered.
There are 8 natural numbers less than 9. (1, 2, 3, 4, 5, 6, 7, 8)
but we don’t know how large the set is we are choosing from.

Which definition best describes skew lines?

Answers

Skew lines are a pair of lines that are non-intersecting, non-parallel, and non-coplanar.

What is Skew lines definition?

Skew lines are a pair of lines that are non-intersecting, non-parallel, and non-coplanar. This implies that skew lines can never intersect and are not parallel to each other. For lines to exist in two dimensions or in the same plane, they can either be intersecting or parallel. As this property does not apply to skew lines, hence, they will always be non-coplanar and exist in three or more dimensions.

Skew Lines Example

In real life, we can have different types of roads such as highways and overpasses in a city. These roads are considered to be on different planes. Lines drawn on such roads will never intersect and are not parallel to each other thus, forming skew lines.

Skew Lines in 3D

Skew lines will always exist in 3D space as these lines are necessarily non-coplanar.

In the figure given below 'a' and 'b' are skew lines.

Therefore, skew lines are a pair of lines that are non-intersecting, non-parallel, and non-coplanar.

To learn more about skew lines visit:

https://brainly.com/question/2603508.

#SPJ2

Answer:

O D. Lines that do not intersect and are in the same plane

Step-by-step explanation:

Credit to person above for explaining,

Hope it helps!

An equation having p = -3 as its solution, then the equation is .................

Answers

Answer:

2p + 9 = 3

2p = 3 - 9

2p = -6

p = -6/2

p = -3

can I get a walkthrough on these problems please?

Answers

Answer:

Step-by-step explanation:

52 + 27 = angle 1 (sum of two interior opposite angle is equal to the exterior angle formed)

79 = angle 1

angle 2 + 71 = 92 degree (sum of two interior opposite angle is equal to the exterior angle formed)

angle 2 = 92 - 71

angle 2 = 21 degree

represent “the product of 9 and a number y” mathematically

Answers

Answer:

9y

Step-by-step explanation:

Here, we want to have a mathematical representation

the product of 9 and a number y means we have to multiply 9 by the number y as follows;

= y * 9 = 9y

13.
Shown is an L shape.
3x
2y
13y
X
All measurements are in centimetres.
Find an expression for the area of the L shape.

Answers

Answer: 24 yards

Step-by-step explanation:

x = (a+b)2, y = a2+2ab+b2 and z = a2+b2-2ab (a) determine the sum of the numerical co-efficients of z terms. (b) determine y+z and y-z (c) If a = 3 and b = - 2, Prove that x = y​

Answers

Answer:

The given equations are;

x = (a + b)²

y = a² + 2·a·b + b²

z = a² + b² - 2·a·b

(a) The numerical coefficients of z terms are

1, 1, -2

The sum of the numerical coefficients = 1 + 1 - 2 = 0

(b) y + z is found by substituting the values of 'y' and 'z', in the expression y + z, as follows;

y + z = a² + 2·a·b + b² + a² + b² - 2·a·b = 2·a² + 2·b²

y + z = 2·a² + 2·b²

y - z = a² + 2·a·b + b² - (a² + b² - 2·a·b) = 4·a·b

(c) Given that a = 3, and b = -2, we have;

x = (a + b)² = a² + a·b + a·b + b² = a² + 2·a·b + b² = y

Therefore, x = y, for all values of 'a', and 'b'

Step-by-step explanation:

(FIRST CORRECT FOR BRAINIEST) Given that triangle GHJ = triangle XYZ, what is m

Answers

Answer:

∠ J = 71°

Step-by-step explanation:

Given that the triangles are congruent then corresponding angles are congruent, so

∠ H = ∠ Y  = 38°

Since GH = JH then Δ GHJ is isosceles and the 2 base angles are congruent

∠ J = [tex]\frac{180-38}{2}[/tex]= [tex]\frac{142}{2}[/tex] = 71°

f(x)=x2. What is g(x)?

Answers

Answer:

(2x)^2 the answer is option a

the ratio of fiction books to non-fiction
books in Roxanne's library is 7 to 9.
If Roxanne owns 182 fictions books
how many non-fiction books does she​

Answers

Answer:

234

Step-by-step explanation:

182/7= 26 9x26=234

why is there a minimum number of characters needed

If 2 tan x/ 1- tan^2 x=1, then x can equal:

Answers

Answer: x=pi/8+npi    and x=5pi/8+npi

Step-by-step explanation:

A jam recipe requires 3 quarts of raspberries. Raspberries are available in 1.5 pint containers at a grocery store. How many containers are required for the recipe? ​

Answers

There are two pints per quart

3 q * 2 p/qt = 6 pints needed

6 pint /1.5 pint/container = 4 containers

Expected value is: Group of answer choices the average probability of all possible outcomes of a future event occurring, weighted by each possible outcome individually the sum of all probabilities of all possible outcomes of a future event occurring the sum of all possible outcomes of a future event, weighted by its probability of occurring

Answers

Answer:

the average probability of all possible outcomes of a future event occurring, weighted by each possible outcome individually

Step-by-step explanation:

An experiment can be defined as an investigation which typically involves the process of manipulating an independent variable (the cause) in order to be able to determine or measure the dependent variable (the effect).

This ultimately implies that, an experiment can be used by scientists to show or demonstrate how a condition causes or gives rise to another i.e cause and effect, influence, behavior, etc in a sample.

In Statistics, an expected value can be defined as the average probability of all possible outcomes of a future event occurring in an experiment, weighted by each possible outcome individually. Thus, an expected value in theory refers to the outcome an individual expect to obtain from an experiment in the long-run.

Mathematically, an expected value can be calculated by summing the products of each distinct outcome and their probability respectively.

https://hegartymaths.com/assessment
Several points are given on the graph below.
a) A, B and C are three corners of a rectangle.
Write the coordinates of the other corner.
b) C, D and E are three vertices of a rhombus.
Write the coordinates of the other vertex.
5 ty
А.
В.
4
.
3
2
1.
-5
-4
-3
-1
2
3
4
-2
E
5
-1
D.
-2
-3
-4
-5

Answers

Answer:

??????????

Step-by-step explanation:

Answer:

need more clarification

Step-by-step explanation:

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Solve the system of equations by graphing on a separate sheet of paper. Write your solutions as ordered pairs from least to greatest with respect to the x-coordinate.

y=x2+6x+4
y=x

Answers

Answer:

x= -2

y= -2

Step-by-step explanation:

y = 8x + 14

y = x

Now by subtraction of these two equation,

So 0 = 7x + 14

x = -2

y = -2

Graph f(x) = x^3. I forgot my lesson yesterday can someone pls remind me?

Answers

Type it into a graphic calculator Or Desmo. If you can’t then plug in x

Answer:

If the x^3 term is positive (which it is) it will look like this.

Step-by-step explanation:

Find the slope of a line through the points (0,0) and (2, 9). Round your
answer to 1 decimal place.
SLope = y2-y1 / x2-x1

Answers

Answer:

Slope = 4.5

Step-by-step explanation:

We need to find the slope of a line through the points (0,0) and (2, 9).

We know that, the slope of a line is given by :

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

We have, x₁ = 0, x₂ = 2, y₁ = 0 and y₂ = 9

Put all the values,

[tex]m=\dfrac{9-0}{2-0}\\\\m=4.5[/tex]

So, the slope of the line is 4.5.

What is an equation of the line that passes through the point (-6,5) and is parallel
to the line 2 - 3y = 21?

Answers

Answer:

y=1/3x+7

Step-by-step explanation:

Hi there!

We're given the equation x-3y=21 and we want to find the equation of the line parallel to x-3y=21 that passes through (-6,5)

Parallel lines have the same slopes, but different y intercepts

So we need to find the slope of x-3y=21

To do that, we can convert x-3y=21 from standard form (ax+by=c where a, b, and c are integers) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept).

We'll need to isolate y onto one side

subtract x from both sides

-3y=-x+21

divide both sides by -3

y=1/3x-7

1/3 is in the place where m is, so 1/3 is the slope of the line

it's also the slope of the line parallel to x-3y=21

here's the equation of the line parallel to x-3y=21 so far:

y=1/3x+b

we need to find b

as the line passes through (-6,5), we can use it to solve for b

substitute -6 as x and 5 as y

5=1/3(-6)+b

multiply

5=-2+b

add 2 to both sides

7=b

Substitute 7 as b into the equation

y=1/3x+7

Hope this helps!

simplify


[tex] \frac{2e + f}{8e - 2e {}^{2} } \times \frac{4e - e {}^{2} }{2ef + f {}^{2} } [/tex]
The answer is 1/2f​

Answers

my answer is in the image above

PLEASE HELP! Which is not a mathematical sentence?

A. 8 + 7 = 15

B. k+ 2<6

C. n+ 19

D. 222

Answers

Answer:

D

Step-by-step explanation:

its just rabdom numbers

Answer:

D thats just a number no sequence or any thing

Step-by-step explanation:

20+30x=36+28 any help??

Answers

the answer is x=22/15

solve for x. round to the nearest tenth. If necessary​

Answers

Answer:

x = 14

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA  [Right Triangles Only] sinθ = opposite over hypotenuse

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 30°

Opposite Leg = 7

Hypotenuse = x

Step 2: Solve for x

Substitute in variables [sine]:                                                                           sin(30°) = 7/x[Multiplication Property of Equality] Cross-multiply:                                       x = 7/sin(30°)Evaluate:                                                                                                           x = 14

Answer:

x = 14

Step-by-step explanation:

Given :-

θ, angle = 30°Hypotenuse = xopposite side = 7

Solution :-

Since, it's right triangle we can use trignometery equations;

In this case we need to use sine equation.

sin θ = opposite side / hypotenuse

plug the values

sin 30° = 7 / x.

cross multiplication

x = 7 / sin 30°

Evaluate

x = 7 / 0.5

x = 14

Which expression is equivalent to log Subscript 5 Baseline (StartFraction x Over 4 EndFraction) squared?

Answers

Answer:

[tex]\log_5(\frac{x}{4})^2 = 2\log_5(x) - 2\log_5(4)[/tex]

Step-by-step explanation:

Given

[tex]\log_5(\frac{x}{4})^2[/tex]

Required

The equivalent expression

To do this, we apply the following law of indices:

[tex]\log_a(b)^c = c\log_a(b)[/tex]

So, we have:

[tex]\log_5(\frac{x}{4})^2 = 2\log_5(\frac{x}{4})[/tex]

To further simplify:

[tex]\log(\frac{a}{b}) = \log(a) - \log(b)[/tex]

So, we have:

[tex]\log_5(\frac{x}{4})^2 = 2(\log_5(x) - \log_5(4))[/tex]

Open brackets

[tex]\log_5(\frac{x}{4})^2 = 2\log_5(x) - 2\log_5(4)[/tex]

Answer:

C.

Explanation:

Edge 2021

Does this graph show a function? Explain how you know.
A. Yes; there are no y-values that have more than one x-value.
B. No; there are yvalues that have more than one x-value.
• C. Yes; the graph passes the vertical line test.
• D. No; the graph fails the vertical line test.

Answers

Answer:

yes

Yes; the graph passes the vertical line test.

Step-by-step explanation:

if it were a graph of a circle it would not pass

the vertical line test because the vertical line would touch at least 2 points

graph is probably a cubic function

something like

y = x^3-4x+6

Help me, please :)
I need to find the value of x

Answers

The vale of x is 55 !!

what frcation is equal to 4​

Answers

The answer is D
Explanation 4 ones is 4

If you answer I will mark you brainliast

Exercise 6
Use the x button on a calculator. You will need basic trigonometry (page 209).
1. The chord AB subtends an angle of 130° at the centre O.
The radius of the circle is 8 cm. Find:
a) the length of AB
b) the area of sector OAB
c) the area of triangle OAB
d) the area of the minor segment (shown shaded).
2. Find the shaded area when:
a) = 6 cm, 0 - 70°
b) r=14 cm, 0 = 104°
c) r=5 cm, 0 = 80
8 cm
1.
3. Find and hence the shaded area when:
a) AB = 10 cm, r= 10 cm
b) AB=8 cm, r = 5 cm
4. How far is a chord of length 8 cm from the centre of a circle of radius 5 cm?
5. How far is a chord of length 9 cm from the centre of a circle of radius 6 cm?

Answers

Step-by-step explanation:

Refer Fig 1 as attached

1a. angle a = angle b = 25°

AM = 8 x cos 35° = 6.553

so AB = AM x 2 = 13.1

1b. Area of sector OAB / Area of the circle

= 130 / 360

Area of sector OAB = 8x8xpi x 130/360

= 23pi

1c. Area OAB = 2 X ( AM x OM) /2 = AM x OM

OM = AM x tan (angle a) = 13.1 x tan 25°

= 6.109

so Area OAB = 6.553 x 6.109 = 40.03

1d. Area of the minor segment

= Area of sector OAB - Area of triangle OAB

= 23pi - 40.03

= 32.23

2, 3 Please refering the approach as above to find the answers

4. Refer Fig 2 as attached

a = 3

the cord is 3 cm from the centre

5. Repeat the approach of 4 above please.

Fragrant Fields Greenhouse sells rose bushes for $19.90 each. Last weekend, they made $477.60 on rose bushes. How many rose bushes did they sell?

Answers

Answer:

Fragrant Fields Greenhouse sold 24 rose bushes.

Step-by-step explanation:

We know that:

1 rose bush = $19.90

And last weekend, the company ended up making $477.60 on rose bushes.

An equation that can represent this situation is:

19.90x = 477.60

To find x, divide:

477.60 ÷ 19.90 = 24

CHECK IT:

19.90(24) = 477.6

That is also $477.60, in terms of money

THEREFORE, the company sold 24 rose bushes.

Hope this helps!

A grocer noticed that customers buy both pet and baby supplies with a probability of 0.12. Considered separately, the probability that

customer buys pet supplies is P(A) = 0.64, and the probability that a customer buys baby supplies is P(B) = 0.25.

Move expressions and numbers into the blanks to create an equation that represents the probability that a customer buys either pet

supplies or baby supplies.

Answers

Answer:

0.77

Step-by-step explanation:

Given that:

P(A) = 0.64

P(B) = 0.25

P(AnB) = 0.12

Probability that customer buys either pet or baby supplies ; P(AuB)

P(AuB) = P(A) + p(B) - p(Ann)

P(AuB) = 0.64 + 0.25 - 0.12

P(AuB) = 0.77

each side of a polygon is 2.5 cm in length. the perimeter of the polygon is 12.5 cm.how many sides does a polygon have ?​

Answers

Answer:

it's 5 sides

Step-by-step explanation:

I hope this helps

Answer:

5 sides

Step-by-step explanation:

12.5÷2.5=5

therefore the answer is 5

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