Use the fact that the length of an arc intercepted by an angle is proportional to the radius to find the area of the sector given r = 3 cm and θ = π 4 . a) 9π 8 cm2 b) 3π 4 cm2 c) 9π 2 cm2 d) 2π 9 cm2

The area of sector with radius 3 cm and angle at center is   cm²

Step-by-step explanation:

Given as :

The radius of circle = 3 cm

The angle at the center of circle = Ф = = 45°

Now, Area of sector =

Or, Area of sector =

Or, Area of sector =

Or, Area of sector =

Or, Area of sector =   cm²

Hence The area of sector with radius 3 cm and angle at center is   cm²   Answer

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

how do heroes resolve conflicts in beowulf?

question 15 options:

they sue each other in court

they get a mediator

the seek counseling

they get even or take revenge

step-by-step explanation: