24j - 9 Factor the following expression using GCF

Suppose that circles R and S have a central angle measuring 80°. Additionally, the measure of the sector for circle R is

riadik2000 [5.3K]

The correct answer is B) 9 m.

The measure of the sector of circle R is 32π/9 m. The measure of the central angle is 80°. This means that the sector is 80/360 = 2/9 of the circle. The area of a circle is given by A=πr², so the area of the sector is A=2/9πr². To verify this, 2/9π(4²) = 2/9π(16) = 32π/9.

Using this same formula for circle S, we will work backward to find the radius:

18π = 2/9πr²

Multiply both sides by 9:
18*9π = 2πr²
162π = 2πr²

Divide both sides by 2π:
162π/2π = 2πr²/2π
81 = r²

Take the square root of both sides:
√81 = √r²
9 = r

6 0

3 years ago

Read 2 more answers

What is y+4=9 what is y?

amid [387]

Answer:

$y = 5$

Step-by-step explanation:

Subtract the 4 from 9

5 0

3 years ago

Read 2 more answers

A person on the top of a tall building looks through his binoculars at his friend that is 300 ft away from the building on the g

Nimfa-mama [501]

Answer:

520 feet

Step-by-step explanation:

The easiest way to visualize this problem is to sketch a quick diagram.

For this problem, you are given an angle and the length of the side of a triangle. If you look at the diagram, you'll see that the length given is the opposite side of the angle given. For this situation, that means you will use the sine function (refer to SOH-CAH-TOA acronym). Then you plug in the given values and solve for x.

Hope this helps!

4 0

3 years ago

un rectangulo tiene 28 cm de perimetro y unos de sus lados mide 4 cm ¿cuantos cuadrados de 2 cm por lado se mecesitan para armar

seraphim [82]

Answer:

10 cuadrados

Step-by-step explanation:

Si uno de los lados de rectangulo es de 4cm entonces el lado parallelo tambien es de 4cm. Eso nos da 8cm del perimetro y nos quedan los otros dos lados que tienen la misma medida. Entonces dividimos el resto del perimetro por 2.

28 - 8 = 20cm

20cm / 2cm = 10cm

Ahora que tenemos todas las medidas podemos multiplicar el largo por el ancho para calcular el area del rectangulo

10cm * 4cm = 40 $cm^{2}$