In a circle, an angle measuring 2π radians intercepts an arc of length 14π. Find the radius of the circle in simplest form.

Answers

Answer 1

Answer:

7 radians

Step-by-step explanation:

In a circle, an angle measuring 2π radians intercepts an arc of length 14π. Find the radius of the circle in simplest form.

Since our Angle in in radians

The formula for Arc length = S = rθ

S = 14π

θ = central angle = 2π radians

Hence

r = S/θ

r = 14π/2π radians

r = 7 radians

Radius = 7 radians


Related Questions

In ΔSTU, the measure of ∠U=90°, the measure of ∠S=31°, and TU = 77 feet. Find the length of US to the nearest tenth of a foot.

Answers

Answer:

US = 128.15 ft

Step-by-step explanation:

tan 31° = 77/US

0.6009 = 77/US

0.6009US = 77

US = 128.15 ft

Answer:

128.7

Step-by-step explanation:

All Questions Are Above

Answers

Answer:

...

Step-by-step explanation:

2. 5.25, because the radius is half the diameter

3. 3 in because the diameter is 2x the radius

4. i.dk this one sorry

Answer:

2. 5.25in

3. 3 in

4. 81.68 or 82

Step-by-step explanation:

The first two are basically multiplication and division. radius is half the diameter, and diameter is the whole of radius.  the circumference is 3.14 or [tex]\pi[/tex] x diameter

so you need to add the radius (13) by itself (13+13) to get the diameter (or 13*2) then multiply by 3.14159. (26*3.14159 = 81.68) and if you need to round its 82.

~R3V0

HELP ASAP 50 POINTS

What are the exact solutions of x2 + 5x + 1 = 0 using x equals negative b plus or minus the square root of the quantity b squared minus 4 times a times c all over 2 times a?

x = the quantity of 5 plus or minus the square root of 21 all over 2
x = the quantity of negative 5 plus or minus the square root of 21 all over 2
x = the quantity of 5 plus or minus the square root of 29 all over 2
x = the quantity of negative 5 plus or minus the square root of 29 all over 2

Answers

Answer:

B. x = the quantity of negative 5 plus or minus the square root of 21 all over 2

Step-by-step explanation:

x² + 5x + 1 = 0 x = (-b ± [tex]\sqrt{b^2 - 4ac}[/tex])/ (2a)x = (- 5 ± [tex]\sqrt{5^2 - 4*1*1}[/tex]) / (2*1)x = (- 5 ± [tex]\sqrt{21}[/tex]) /2

Correct choice is B

Which expression is equivalent to 32 + 16?

(A) 8(4 + 2)
(B) 8(24 + 8)
(C) 7(4 + 2)
(D) 7(24 + 8)

Answers

Answer: (A) 8(4+2)

Brainiest please!!! :)

answer: (A) 8(4+2)

Step-by-step explanation:

I think so BECAUSE I ADD IT ALL UP

how do i include a screenshot

Answers

include a ss for what,

There will be a nail clip tool when you press the + button. Then you will be able to access your file you need to enter.

Calcula el área de este hexágono. Datos: -lados 8 cm² -apotema 3'7cm²

Answers

Respuesta:

88,8 cm²

Explicación:

Consideremos un hexágono regular. Su apotema, la distancia más corta entre el centro del hexágono y uno de sus lados, es 3,7 cm y sus lados miden 8 cm.

Primero debemos calcular su perímetro, que es igual a la suma de sus 6 lados.

Perímetro = 8 cm + 8 cm + 8 cm + 8 cm + 8 cm + 8 cm = 48 cm

Luego, podemos calcular el área del hexágono usando la siguiente fórmula:

Area = Perímetro × Apotema / 2

Area = 48 cm × 3,7 cm / 2 = 88,8 cm²

What is the value of X
What is the value of Y


I will crown u and give you 20 extra points

Answers

Answer:

See below for answers and explanations

Step-by-step explanation:

4) 35° and x° are vertical angles, so they are congruent to each other. Therefore, x°=35°. Since y°+y°+35°=180° since they are all supplementary to each other, then y°=72.5° when solved.

5) A is true. Think of two adjacent angles measured 60° and 30° that are next to each other. They add up to 90° as well.

B isn't true. Vertical angles are congruent to each other, not supplementary.

C isn't true. The statement contradicts itself. Complementary angles add up to 90° while supplementary angles add up to 180°

A right triangle has a base of 6 feet, a height of 4 feet, and a slant height of 9 feet. Find the area. *

Answers

The are of a triangle is always 1/2*Base*height so (1/2)*6*9 which is 27 ft^2

A sphere has a volume of 1,436 in3. What is its radius?

Answers

Answer:

do the reverse of pie r squared

Step-by-step explanation:

please help me! ill give a brainlest for who answer this

Answers

Answer:

(0,1)

Step-by-step explanation:

Answer:

The coordinates of the point are (0,1)

Step-by-step explanation:

Marianne's ring has a radius of 8mm. She needs to get it resized so that the circumference is 52 mm. How much larger will the new circumference be? Round your answer to the nearest tenth

Answers

Answer:

0.28mm larger

Step-by-step explanation:

Given data

Radius of ring= 8mm

Circumference

C= 2πr

C= 2*3.14*8

C=50.24mm

The resized ring has a circumference of =52 mm

Hence the radius will be

52= 2*3.14*r

52= 6.28r

r= 52/6.28

r= 8.28mm

Hence the resized ring is

8.28-8

=0.28mm larger

Plz help
What is the next step in this construction?
A. construct a line perpendicular to x p through point a
B.measure the distance from point A to p
C.construct a line parallel to XP through point a
D. construct a transversal line through points a and X ​

Answers

Answer:

Construct a transversal line through points A and X. i think im not sure

Step-by-step explanation:

A triangle has sides with lengths of 48 meters, 51 meters, and 31 meters. Is it a right triangle?

Answers

Answer:

Step-by-step explanation:

Formula = a^2 + b^2 = c^2

Putting values

= (31)^2 + (48)^2 = (51)^2

= 961 + 2304 = 2601

= 3265 = 2601

Both sides are not equal so it is not a right triangle

What is the domain of this function?

Answers

Answer:

-5, -1, 1, 2, 4

Step-by-step explanation:

The domain includes the x-values of the points. Starting from the left, the points are (-5, -5), (-1, 0), (1, 1), (2, 5), (4, -3).

Take the x-values, and the domain is {-5, -1, 1, 2, 4}.

The fuel mix for a small engine contains only 2 ingredients: gasoline and oil. If the mix requires 5 ounces of gasoline for every 6 ounces of oil, how many ounces of gasoline are needed to make 33 ounces of fuel mix?

Answers

Answer:

15

Step-by-step explanation:

(brainiest)

[-15(-1.5)]+[(-2.5) x 1.25] plz help me out guys

Answers

Answer:

19.375

Step-by-step explanation:

Hope this helps ;)

Answer: 19.375

Step-by-step explanation:

[-15(-1.5)]+[(-2.5) x 1.25]

[22.5]+[-3.125]

22.5-3.125= 19.375

Choose all of the values for x that are solutions to x < -2.

A.x=0
B. x=2
C. x= -2
D.x=-1/2
E. x= -4

Answers

I think the answer is E

A student was interested in purchasing notebooks in bulk to get ready for school. Three stores were offering packages of the kind of notebook the student wanted. The table below shows the offers from each store. Order the stores from the best deal to the worst deal for the notebooks.

Answers

The best store to buy the notebooks is store B.

I-Ready help...... AND DON"T SAY USE A CALCULATOR IT SO EZZ I Would if i flip In COULD DU>>>>>A>>>>>S>>>>S>>>>>'S SORRY TO BE mean XD

Answers

Answer:

-0.099

Step-by-step explanation:

0.9 × -0.11 = -0.099

Your pfp is giving me a seizure

You're like 12

And your cringy

""Sorry to be mean XD""

Un padre cede al mayor de sus hijos la quinta parte de su capital, al segundo la cuarta parte del mismo y al tercero le da el resto, que son 33,000 euros. ¿Cuál era su capital? ¿Cuánto le correspondió a cada hijo?

Answers

Answer:

El padre tenía un capital de 60,000 euros.

El hijo mayor recibe 12,000 euros.

El hijo segundo recibe 15,000 euros.

El hijo tercero recibe 33,000 euros.

Step-by-step explanation:

Sea [tex]x[/tex] el capital total del padre y [tex]a,b,c[/tex] son las asignaciones a los hijos mayor, segundo y tercero. A continuación, construimos las ecuaciones matemáticas a partir de lo descrito en el enunciado:

Hijo mayor

[tex]a = \frac{1}{5}\cdot x[/tex] (1)

Hijo segundo

[tex]b = \frac{1}{4}\cdot x[/tex] (2)

Hijo tercero

[tex]c = \left(1-\frac{1}{5}-\frac{1}{4}\right)\cdot x = 33000[/tex] (3)

De (3) tenemos que el capital del padre es:

[tex]x = \frac{33000}{1-\frac{1}{5}-\frac{1}{4} }[/tex]

[tex]x = 60000[/tex]

El padre tenía un capital de 60,000 euros.

Por (1) y (2) determinamos los capitales del hijo mayor y el hijo segundo:

[tex]a = \frac{1}{5}\cdot x[/tex]

[tex]x = 12000[/tex]

El hijo mayor recibe 12,000 euros.

[tex]b = \frac{1}{4}\cdot x[/tex]

[tex]b = 15000[/tex]

El hijo segundo recibe 15,000 euros.

Please look at the screenshot

Answers

Given:

The figure of circle E. [tex]m\angle ABD=(11x-3)^\circ,m\angle ACD=(8x+15)^\circ[/tex].

To find:

The measure of arc AD.

Solution:

We know that the inscribed angles on the same arc are congruent and their measures are equal.

[tex]\angle ABD[/tex] and [tex]\angle ACD[/tex] are inscribed angles on the same arc AD. So,

[tex]m\angle ABD=m\angle ACD[/tex]

[tex]11x-3=8x+15[/tex]

[tex]11x-8x=3+15[/tex]

[tex]3x=18[/tex]

[tex]x=6[/tex]

Now,

[tex]m\angle ABD=(11x-3)^\circ[/tex]

[tex]m\angle ABD=(11(6)-3)^\circ[/tex]

[tex]m\angle ABD=(66-3)^\circ[/tex]

[tex]m\angle ABD=63^\circ[/tex]

We know that the intercepted arc is always twice of the inscribed angle.

[tex]m(Arc(AD))=2\times m\angle ABD[/tex]

[tex]m(Arc(AD))=2\times 63^\circ[/tex]

[tex]m(Arc(AD))=126^\circ[/tex]

Therefore, the measure of arc AD is 126 degrees.

9 ( x - 5 ) = -108 solve for x

Answers

Answer:

x = -7

Step-by-step explanation:

9 ( x - 5 ) = -108

9x - 45 = -108

add 45 to each side of the equation:

9x = -63

divide both sides by 9:

x = -7

Answer:

x = - 7

Step-by-step explanation:

9(x - 5) = - 108

9x - 45 = - 108

9x - 45 + 45 = - 108 + 45

9x = - 63

9x ÷ 9 = - 63 ÷ 9

x = - 7

PLEASE HELP !!!!!!!!!!! WILL MARK BRIANLIEST !!!!!!!!!!!!!

Answers

Answer:

77-55=22, i don't know if this is the answer if i'm wrong sorry im just trying to help you.For every 22 followers tyler has, Naomi has 22 leser followers

Step-by-step explanation:

IF i am right pls subscribe to Amiredagoat Yt

PLEASE HELP ME ILL GIVE BRAINLIEST

Select the correc answer. Consider function g. 5+2 What is the average rate of change of function g over the interval [-4, 3]
OA. 1/2
OB. -7/2
OC. -1/2
OD. 2​

Answers

It would be B. I had this same question.

For flights from a particular airport in January, there is a 30 percent chance of a flight being delayed because of icy weather. If a flight is delayed because of icy weather, there is a 10 percent chance the flight will also be delayed because of a mechanical problem. If a flight is not delayed because of icy weather, there is a 5 percent chance that it will be delayed because of a mechanical problem. If one flight is selected at random from the airport in January, what is the probability that the flight selected will have at least one of the two types of delays?
(A) 0.065 (B) 0.335 (C) 0.350 (D) 0.450 (E) 0.665

Answers

Answer:

0.335

Step-by-step explanation:

1. There is a 30 percent chance of a flight being delayed because of icy weather ,then the probability of being delayed is 0.3 and of being not delayed is 0.7.

2. If a flight is delayed because of icy weather, there is a 10 percent chance the flight will also be delayed because of a mechanical problem, then the probability of being delayed is 0.1 and the probabilty of not being delayed is 0.9.

3. If a flight is not delayed because of icy weather, there is a 5 percent chance that it will be delayed because of a mechanical problem (MP), then the probability of being delayed is 0.05 and the probabilty of not being delayed is 0.95. (See attached probability tree)

Delayed of icy weather - 0.3

Delayed of MP when weather is not icy - 0.7·0.05=0.035

Now, if one flight is selected at random from the airport in January, the probability that the flight selected will have at least one of the two types of delays is

0.3+0.035=0.335

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Answers

Step-by-step explanation:

try to factor them anx than set each bracket to 0 the negative one would not work

Answer:

5(−x−2)(x−7)

Step-by-step explanation:

At a grocery store,39 out of 60 customers use a shopping cart. What percent of the customers use a shopping cart?​

Answers

Answer:

39 is 65% of 60

65% use a shopping cart.

PLEASE HELP WITH GEOMETRY IM STUCK!?}

Answers

Answer:

13.8

Step-by-step explanation:

Recall the trigonometric ratios

Sine = Opposite over Hypotenuse (SOH)

Cosine = Adjacent over Hypotenuse (CAH)

Tangent = Opposite over Adjacent (TOA)

Now lets look back at the question

We are given an angle and its adjacent side length (11) and we need to find the hypotenuse

The hypotenuse and adjacent sides corresponds with the trig function cosine so we will use cosine to solve for x

( remember that cosine = adjacent over hypotenuse )

[tex]cos(37)=\frac{11}{x}[/tex]

step 1 multiply each side by x

[tex]cos(37)*x=xcos(37)\\\frac{11}{x} *x=11[/tex]

now we have [tex]xcos(37)=11[/tex]

step 2 divide each side by cos(37)

[tex]\frac{xcos(37)}{cos(37)} =x\\\frac{11}{cos(37)} =13.77349\\[/tex]

we're left with x = 13.77439

Our last step would be to round to the nearest tenth

We would get that the answer is 13.8

Answer:

G) x = 13.8

Step-by-step explanation:

cos 37° = adj/hyp = 11/x

0.7986x = 11

x = 13.8

exponential function b^y=x can be expressed as

Answers

Answer:

[tex] {b}^{y} = x \\ x = {b}^{y} \\ log_{b}x = y[/tex]

f(x) = x^2. What is g(x)?

Answers

Answer:

g(x) = 5x^2

Step-by-step explanation:

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