A circular arc has measure 8 cm and is intercepted by a central angle of 2.3 radians. Find the radius of the circle. Do not round any intermediate computations, and round your answer to the nearest tenth.

Answers

Answer 1

Answer:

3.5 cm

Step-by-step explanation:

Given the question:

A circular arc has measure 8 cm and is intercepted by a central angle of 2.3 radians. Find the radius of the circle. Do not round any intermediate computations, and round your answer to the nearest tenth.

Central angle in radian (θ) = 2.3 radian

Length of arc (s) = 8cm

Recall:

Length of arc (s) = radius (r) × central angle (θ)

8cm = radius × 2.3 rad

radius = 8 / 2.3

Radius = 3.478 cm

Radius = 3.5 cm


Related Questions

How are you? (ignore: now for 20 more characters to meet the requirement to post this)

Answers

Answer:

lol

Step-by-step explanation:

personally... great... just mentally depressed and physically wanting to die but i guess that's great

what is 190000000000000000000999999x33​

Answers

Answer:

5.7e+26

If you type in a calculator 19+19 0s + 6 9s multiplied by 3 you will get 5.7e+26.

Answer:

6.2700000 E27 (?)

Hope I helped!

Given the function f (x) = 5x^2 - 2 find f (-3).​

Answers

Answer:

Step-by-step explanation:

5(-3)^2 - 2

5(9) - 2

45 - 2 = 43

What is the value of this expression when x = -6 and ? 4(x2 + 3) − 2y

Answers

hi! i’m going to assume that the 2 next to the x is an exponent, so forgive me if i answer incorrectly. after plugging in x for -6 your equation should be 4(-6^2+3)-2y (the ^ indicates a exponent)

multiply the exponents and get:

4(36+3)-2y

add the parentheses:

4(39)-2y

multiply by 4:

156-2y

and divide by -2 (to isolate the y)

y=-78

this might be wrong, but i hope it helps :)



Answer:

So you kinda forgot to mention the part where y = -1/2 but the answer is 157

Step-by-step explanation:

4(x^2 +3) - 2y

replace the variables

4(-6^2 +3) - 2 (-1/2)

use PEMDAS to solve

so parenthesis first and exponents  

4(6x6 +3) -2 (-1/2)

4(36 +3) -2 (-1/2)     (since you multiply a - by a - you get a +)

4(39) -2 (-1/2)          (again - and a - is a positive)

4(39) + 1

156 + 1

157     there it is i got a 5 of 5 on my test and have a nice day :D

What is the value of x that makes the given equation true? ​4x−3=−12x+13​ ​x=−3​ x = 0 x = 1 x = 16

Answers

Answer:

The answer is C.

:)

Step-by-step explanation:

4x − 3= −12x + 13​

4x + 12x = 13 + 3

16x = 16

x = 1

Answer:

X=1

Step-by-step explanation:

I took the k12 test and got it right

have a good life =D

WHY IS THE AU USEFUL?

Answers

Answer:

The objectives of the AU are the following: To achieve greater unity, cohesion and solidarity between the African countries and African nations. To defend the sovereignty, territorial integrity and independence of its Member States. To accelerate the political and social-economic integration of the continent.

Step-by-step explanation:

Answer:

because they help people "achieve greater unity"

gabriela makes quilts to sell at charities. she can make 9 quilts with 36 yards of material. how many yards of material would she require for 13 quilts ?

Answers

36 dived by 9 is 4 so with 4 yards of material she can make one quilt. 13 x 4 is 52 so the answer is 52
1 quilt uses 4 yards of material, so 13 quilts uses 52 yards of material

Factorize the following quadratic equation u²- 12 u + 35 = 0​

Answers

Answer:

X₁=7 ,X₂ = 5

Step-by-step explanation:

a= 1²  b= - 12   c= 35

X =[ ( -b±√b²-4ac ) / 2a]

So, use this formula and get the answer...

   Even if you use the middle term formula, you will get the same answer

What is true of all multiples of 6? A. All multiples of 6 have 2 and 3 as factors. B. All multiples of 6 have 12 as a factor. C. All multiples of 6 must end in 2, 3, or 6. D. A multiple of 6 cannot have 5 as a factor.

Answers

Answer:

A

Step-by-step explanation:

PLEASE HELP!!!! THE WEBSITE ISN'T WORKING FOR ME!! Is it working for anyone else?!?!

Go to the U.S. Census Bureau's Historical National Population Estimates, 1900 to 1999 website. Write the national population of the United States for 1999 and the average annual change (growth rate given in percent) for that year.

Answers

Answer:

272,690,813          2,442,810              0.90

national population .      popullation change .      average annual percent change

Step-by-step explanation:

The area of a square is 289 ft2. What is the length of each side?​

Answers

Answer:

17 ft

Step-by-step explanation:

the area of a square is length x length, or [tex]length^{2}[/tex]

so, since you already have the area, do the opposite of squaring it, which is finding the square root.

[tex]\sqrt{289}[/tex] = 17

The length of each side of a square is   [tex]17 feet[/tex]  whose area is  [tex]289 ft sq[/tex]. (mentioned in the question).

A square is a four-sided figure in which all sides are equal in length and the measure of each angle is [tex]90^0[/tex]. The area is defined as the space that is contained inside the closed boundary or perimeter or circumference.

We know that the

area of the square = [tex]side \times side[/tex]

[tex]289 ft sq[/tex]     [tex]= side \times side[/tex]

[tex]289 = (side) ^2[/tex]

[tex]\sqrt{289 } = side[/tex]

[tex]17 = side[/tex]

Thus, the length of each side of a square consisting of an area of[tex]289 ft sq[/tex] is [tex]17 feet[/tex]  .

Learn more about Square here :

https://brainly.com/question/14198272

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when dividend is 45324 and divisor is 5, find the quotient and remainder​

Answers

Answer:

45324÷5=9064

remainder=4

Hope it helps you!!

Answer: quotient = 226620 and remainder = 0

in the first quadrant you start at 3,7 and move 3 units down what is the point you end up with

Answers

Answer:

(3, 4).

Step-by-step explanation:

The x coordinate stays the same but the y coordinate becomes 7 - 3 = 4.

for f(x)=(x-3)/(x^(2)-4), the function is at x=2 continuous discontinuous with an infinite discontinuity discontinuous with a jump discontinuity discontinuous with a point discontinuity

Answers

Answer:

ITS UNDEFINED

Step-by-step explanation:

2-3)/2^2 - 4

-1/(4-4)

-1/0

ITS UNDEFINED

Answer:

[tex]\Large \boxed{\mathrm{discontinuous \ with \ a \ point \ discontinuity}}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

[tex]\displaystyle f(x)=\frac{x-3}{x^2-4}[/tex]

When x = 2.

We can see that the denominator is equal to 0 when the input value is 2.

[tex]2^2-4=4-4=0[/tex]

Obtaining a zero in the denominator indicates a point of discontinuity.

In the graph below, we can see that the function is discontinuous at x = 2.

[tex]\rule[225]{225}{2}[/tex]

An international company has 29,700 employees in one country. If this represents 29.8% of the company's employees, how many employees does it have in total? Round your answer to the nearest whole number.

Answers

Answer:

99, 664

Step-by-step explanation:

Let company has total x employees.

[tex]29.8 \% \: of \: x = 29700 \\ \\ 0.298x = 29700 \\ \\ x = \frac{29700}{0.298} \\ \\ x = 99,664.4295 \\ \\ x \approx \: 99,664 \: [/tex]

Answer:  99,664 employees in total

Step-by-step explanation:

So if 29.8% of the total people is 29,700  people then we could represent that by the equation.

29.8% * x = 29,700  where x is the total people.

0.298 * x = 29,700

0.298x = 29,700

 x = 99,664.429  

Rounded to the nearest whole number is 99,664

A triangle has a perimeter of 48 inches. Side B is nine inches longer than side A. The base is 7 inches more than twice side A. What are the dimensions of the triangle?

Answers

Answer:

  (A, B, C) = (8, 17, 23) inches

Step-by-step explanation:

We can let A, B, and C represent the corresponding side lengths. Then we are given ...

  A + B + C = 48 . . . . . . the perimeter is 48 inches

  B = A + 9 . . . . . . . . . . . B is 9 inches longer than A

  C = 2A +7 . . . . . . . . . . the base (remaining side) is 7 inches more than ...

Substituting for B and C in the first equation, we have ...

  A + (A+9) +(2A+7) = 48

  4A = 32 . . . . . . . . . . . . . . collect terms, subtract 16

  A = 8

  B = A+9 = 17

  C = 2A +7 = 23

Side A is 8 inches, side B is 17 inches, and side C is 23 inches.

FIND THE DISTANCE BETWEEN THE TWO POINTS
A(0, 0), B(6, 8)

Answers

Answer:

10

Step-by-step explanation:

Mathematical Formula: [tex]\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

Therefore: [tex]\sqrt{\left(6-0\right)^2+\left(8-0\right)^2}[/tex]

Which = 10

Use the First Derivative Test to determine whether the critical point is a local min or max (or neither). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)


f(x)=(ln(2x)/8x)-7 (x>0)


Also determine the intervals on which the function is increasing or decreasing.

Answers

Answer:

Step-by-step explanation:

Let be [tex]f(x) = \frac{1}{8\cdot x}\cdot \ln(2\cdot x) -7[/tex], the first and second derivatives of the function are, respectively:

[tex]f'(x) = \frac{\left(\frac{2}{2\cdot x}\right)\cdot 8\cdot x-8\cdot \ln (2\cdot x) }{64\cdot x^{2}}[/tex]

[tex]f'(x) = \frac{8-8\cdot \ln (2\cdot x)}{64\cdot x^{2}}[/tex]

[tex]f'(x) = \frac{1-\ln(2\cdot x)}{8\cdot x^{2}}[/tex]

[tex]f''(x) = \frac{\left(-\frac{2}{2\cdot x} \right)\cdot (8\cdot x^{2})-[1-\ln(2\cdot x)]\cdot (16\cdot x)}{64\cdot x^{4}}[/tex]

[tex]f''(x) = \frac{-8\cdot x-16\cdot x+16\cdot x\cdot \ln (2\cdot x)}{64\cdot x^{4}}[/tex]

[tex]f''(x) = \frac{-24\cdot x+16\cdot x \cdot \ln (2\cdot x)}{64\cdot x^{4}}[/tex]

[tex]f''(x) = -\frac{3}{8\cdot x^{3}}+\frac{\ln (2\cdot x)}{4\cdot x^{3}}[/tex]

Now, let equalise the first derivative to zero and solve the resulting expression:

[tex]\frac{1-\ln(2\cdot x)}{8\cdot x^{2}} = 0[/tex]

[tex]1-\ln(2\cdot x) = 0[/tex]

[tex]\ln(2\cdot x) = 1[/tex]

[tex]\ln 2 +\ln x = 1[/tex]

[tex]\ln x = 1-\ln 2[/tex]

[tex]x = e^{1-\ln 2}[/tex]

[tex]x = \frac{e}{e^{\ln 2}}[/tex]

[tex]x = \frac{e}{2}[/tex]

[tex]x \approx 1.359[/tex]

This result is evaluated at the second derivative expression:

[tex]f''(1.359) =-\frac{3}{8\cdot (1.359)^{3}}+\frac{\ln [2\cdot (1.359)]}{4\cdot (1.359)^{3}}[/tex]

[tex]f''(1.359)\approx -0.050[/tex]

The critical value leads to a critical maximum and there are two intervals:

[tex](0, 1.359)[/tex] - Increasing

[tex](1.359,+\infty )[/tex] - Decreasing

The graphic of the function is presented below as attachment.

Everytime i try to answer the questions in the same format given it shows as unexpected character.Is there anyway i can fix this so i can submit the answers i am getting on here?

Answers

Answer:

  use "Help"

Step-by-step explanation:

You need to learn how your software expects to see "infinity." It may need to be spelled out "infinity" or abbreviated "inf" or "infty".

For starters, I suggest you use the "Help" link on the page you show. If that doesn't answer the question, then consult with your instructor.

Oscar rode his bicycle at a rate of 9 mph and then speed up to 16 mph. he rode 30 minutes longer at 9 mph than he did at 16 mph. If he traveled a total of 22 miles, how long did he ride at the slower rate?

Answers

Answer:

t = 0.7 h

The time he rode at a slower speed is 1.2 h

Step-by-step explanation:

-The question involves algebra, to find the time the distance formula is used involving the values ​​of distance, time and speed.

- distance = speed 1 * time 1 + speed 2 * time 2

If Oscar traveled for t minutes at 9mph and it took him 15 minutes longer than when he traveled at 16mph it means that:

speed 1 * time 1 + 30 minutes.

But 30 minutes converted to hours is 0.5 hours

 

22 miles = 9 * (t + 0.5) + 16 * t

22 = 9t + 4.5 + 16t

17.5 = 25t

17.5 / 25 = t

The answer is: t = 0.7

Checking the value in the equation:

22 miles = 9 * (t + 0.5) + 16 * t

22 = 9 * (0.7 + 0.5) + 16 * 0.7

22 = 9 * 1.2 + 11.2

22 = 10.8 + 11.2

22 = 22

Linda and juan went shopping. Linda spent $19 less than Juan. If we let x represent how much juan spent, write an algebraic expression for how much Linda spent

Answers

The answer to this question would be x-19

Both the galapagos Islands and the island of naura are on the equator, but the galapagos Islands are at 90.30 degree West whereas the island of naura is at 166.56 degree east. How far is it from galapagos Islands to naura travelling over the pacific ocean along the equator, correct to the nearest km

Answers

Answer:

11481.4875 km

Step-by-step explanation:

Given the that :

Galapagos island and Island of Naura are on the equator

Galapagos = 90.30°W

Island of Naura = 166.56°E

Ensuring same bearing is used for both :

Island of Naura = 166.56°E = (360° - 166.56°) = 193.44°W

Hence, we can calculate the difference in the bearing of both locations :

(193.44 - 90.30)°W = 103.14°

Hence the distance between Galapagos and Island of Naura along the equator is :

(Difference in bearing / total bearing) * earth's Circumference

Earth's Circumference = 40,075km

(103.14 / 360) × 40,075

0.2865 × 40,075

= 11481.4875 km

=

Can you please help me with this I’ll give you a playlist for sure it’s

Answers

Answer:

15+(-37)

initial 15

fell 37 so -37

Answer:

B, or the one labeled 15 + (-37)

Step-by-step explanation:

It starts with 15 degrees F, which is positive.

Then, you'd add -37 degrees.

Adding -37 degrees to 15 is the same as subtracting 37 from 15.

Good luck mate :)

Find the distance between these points. C(0, 4), T(-6, -3) √(37) √(109) √(85)

Answers

Answer:

The answer is

[tex] \sqrt{85} [/tex]

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{( {x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

C(0, 4), T(-6, -3)

The distance between them is

[tex] |CT| = \sqrt{ ({0 + 6})^{2} + ({4 + 3})^{2} } \\ = \sqrt{ {6}^{2} + {7}^{2} } \\ = \sqrt{36 + 49} [/tex]

We have the final answer as

[tex] \sqrt{85} [/tex]

Hope this helps you

2/3(6k-30)+k=100 this is the one I need help

Answers

k=24
first factor the expression
second reduce the numbers
third remove parenthesis
fourth collect like terms
fifth move the constant to the right
sixth calculate
seventh divide both sides
eight you have your solution

The value of k = 20.

We have the following expression -

[tex]\frac{2}{3} (6k-30)+k=100[/tex]

We have to find the value of K.

Find the value of z →  [tex]$log(2)^{z} = \pi[/tex].

We have -

[tex]$log(2)^{z} = \pi[/tex]

z x log(2) = π

z = [tex]$\frac{\pi }{log\;2}[/tex]

z = 10.43

According to the question, we have -

[tex]\frac{2}{3} (6k-30)+k=100[/tex]

[tex]\frac{2}{3}\times 6[/tex](k - 5) + k = 100

4(k - 5) + k = 100

4k - 20 + k = 100

6k = 120

k = 20

Hence, the value of k = 20

To solve more questions on finding unknown variable, visit the link below-

https://brainly.com/question/13065483

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In your own words define and give an example of Associative Property

Answers

Answer:

The associative property states that you can add or multiply regardless of how the numbers are grouped.

Step-by-step explanation:

3+4+9=9+3+4=4+9+3 etc

Which two expressions , added together , form a function with the following characteristics?

-It’s range is all real numbers
- it’s graph has exactly two x-intercepts

Answers

Answer:

Options (B) and (C)

Step-by-step explanation:

We have to form a function which has following characteristics,

1). Its range is all real numbers

 Which means graph of the given function starts from negative side of the y-axis (-∞) and goes towards positive direction of the y-axis (+∞).

It's a typical characteristic of odd degree polynomial/function.

2). The graph has exactly two x-intercepts.

  Which means when we put f(x) = 0, we get exactly two values of x.

Therefore, function will be, f(x) = x³ + x²

Range of the function → (-∞, ∞) Or a set of all real numbers.

x-intercepts → f(x) = x³ + x² = 0

                             x²(x + 1) = 0

                             x = -1, 0

Therefore, Options (B) and (C) will be the answer.

Form the intersection for the following sets.
R={10, 15, 20}
S = {20, 25}
R ∩S=

{10,15,25}

{10,15,20,25}

{20}

{}

Answers

Answer:

Your required answer is option is {20}.

Step-by-step explanation:

Hey, there!!

The reason for above answer is we generally find intersections among the sets by extracting the common elements of the sets.

Here,

R = {10,15,20}

S = {20,25}.

Now, 20 is common im both so,

R intersection S = {20}.

Hope it helps...

Solve for x.
8x + 3 > 4 (1/2x – 3)

Answers

Answer:

[tex]x>-5/2[/tex]

Step-by-step explanation:

So we have:

[tex]8x+3>4(\frac{1}{2}x-3)[/tex]

First, distribute the right:

[tex]8x+3>2x-12[/tex]

Subtract 2x from both sides:

[tex]6x+3>-12[/tex]

Subtract 3 from both sides:

[tex]6x>-15[/tex]

Divide everything by 6:

[tex]x>-15/6[/tex]

Reduce:

[tex]x>-5/2[/tex]

And this is our answer :)

can help me with this one?
A. 5x+9=17
B. -8x-7=15
C. 6(3×+8)=-

please send me the answer for both

Answers

Answer:

A is 1.6 and ion the other ones

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