All categories

3 years ago

Find the length of AB

Mathematics

1 answer:

Lady_Fox [76]3 years ago

5 0

Hey there! :)

Answer:

arc AB = 2.5π in (in terms of pi) or ≈7.85 in. (pi = 3.14)

Step-by-step explanation:

Begin by finding the circumference of the circle. Use the formula:

C = 2rπ

C = 2(9)π

C = 18π.

Since ∠AQB equals 50°, set up a ratio to find the length of arc AB:

$\frac{50}{360} = \frac{x}{18\pi }$

Cross multiply:

50 · 18π = 360x

900π = 360x

Divide both sides by 360:

x = 2.5π in, or ≈7.85 in.

You might be interested in

Haya la integral de xarcsenx/((1-x^2)^1/2). Utiliza la sustitución de t= arcsenx

ikadub [295]

Answer:

Explicación más abajo

Step-by-step explanation:

Integración Indefinida

La integral

$I=\int \dfrac{x .arcsen\left(x\right)}{\sqrt{1-x^2}}$

Se resuelve con el cambio de variables:

t=arcsen(x)

Una vez hechos los cambios, la integral se resuelve en función de t:

$I=sen(t)-t.cos(t)+C$

Hay que devolver los cambios para mostrarla en función de x.

El cambio de variables también se puede escribir:

x=sen(t)

Recordando que

$cos(t)=\sqrt{1-sen^2(t)}$

Entonces:

$cos(t)=\sqrt{1-x^2}$

Devolviendo los cambios:

$I=sen(t)-t.cos(t)+C=x-arcsen(x)\sqrt{1-x^2}+C$

Es la respuesta correcta

7 0

3 years ago

IGIVEEEEEEEEEEEEEEEEEEEEE BRSAINLILSTER

rusak2 [61]

Answer:

Step-by-step explanation:

3 0

2 years ago

The GCF of 6x^2y−24x^3+18xy^4 is

finlep [7]

Answer:

Step-by-step explanation:

All of the variables are divisible by 6.

7 0

2 years ago

Victor sold cupcakes and cookies yesterday. Each cupcake sold for $2.25 and each cookie sold for $0.50. At the end of the

lidiya [134]

answer:number of cupcakes sold is 13 Number of cookies sold is 27

Step-by-step explanation:

Let x represent the number of cupcakes that Victor sold. Let y represent the number of cookies that Jane sold. Each cupcake sold for $2.25 and each cookie sold for $0.50. At the end of the day, This mean Victor had 2.25x 0.5y = 42.75 - - - - - - - - - -1she sold 40 cupcakes and cookies combined, it means thatx y = 40Substituting x = 40 - y into equation 1, it becomes2.25(40 - y) 0.5y = 42.7590 - 2.25y 0.5y = 42.75- 2.25y 0.5y = 42.75 - 90- 1.75y = - 47.25y = - 47.35/-1.75y = 27x = 40 - yx = 40-27 = 13

3 0

3 years ago

If y=1/(x^4+1)^3, find dy/dx

larisa [96]

Answer:

-12x³

(x⁴ +1)⁴

Step-by-step explanation:

y=1/(x^4+1)^3

y= (x⁴+1)-³

dy = d(x⁴+1)-³ × d(x⁴+1)

dx d(x⁴+1) dx

=-3.(x⁴+1)-³-¹× 4x³

= -12x³(x⁴+1)-⁴

= -12x³

(x⁴+1)⁴

Note: dx^n =(n. x^n-1)dx

dx dx

4 0

3 years ago