Consider circle o below. the length of arc ba is 8.4 cm and the length of the radius is 8 cm. the measure of angle aoc is 45°. rounded to the nearest whole degree, what is the measure of angle boa? ° rounded to the nearest tenth of a centimeter, what is the length of arc bac? cm

In geometry, the most efficient first step is to draw a sketch according to given information, if one is not supplied.

Referrring to sketch below, we see that

angle BOA

= arc/radius radians

=8.4/8

=1.05 radians

=1.05*180/pi degrees

=60.16 degrees

We know that angle AOC is 45 degrees.

Angle BAC = 60.16+45=105.16 degrees.

Arc BAC = radius * angle (degrees) * pi /180

=8*105.16*3.14159/180

=14.683 cm

=14.7 cm (to the nearest tenth of a centimeter, or to the nearest mm)

60, 14.7

Step-by-step explanation:

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is