Definition:The Isuzu NPR 250 light truck with manual transmission has a circular brake drum with a diameter of 320 millimeters. Each brake pad, which presses against the drum, is 307 millimeters long. What central angle is subtended by one of the brake pads? Write your answer in both radians and degrees

central angle ( θ) = 1.91875radians

central angle ( θ) in degrees = 109.92degree

Step-by-step explanation:

Given:

diameter of 320 millimeters

Then the Radius of the circular

brake drum can be calculated as

Radius =Diameter/2

Radius = 320 millimeters/ 2

Radius= 160 millimeters

central angle ( θ) = arc/r

central angle ( θ) = 307 millimeters /160 millimeters

central angle ( θ) = 1.91875radians

Than to convert it to degrees we have

1rad × 180/π = degree

Where π =3.142

central angle ( θ) = 1.91875radians * 180/π

Therefore,central angle ( θ) in degrees = 109.92degree

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.

85.3-64 = 21.3

so laura has already added 85.3 grams of chocolate powder and she has gone over the amount specified in the recipe by 21.3 grams

hope i ! have a great  day!