Answer: 6π
<u>Step-by-step explanation:</u>
Area of a circle is π r².
Area of a section of a circle is π r² × the section of the circle.

Given: r = 6, Ф = 60°

First you need to find what 2/3 equals
to do this, take 99 divided by 3
99/3=33
if 1/3 equals 33, two thirds would be 33x2
33x2=66
now, you need to find 1/2 of 66. this can be done 2 different ways
1. 66 divided by 2 - 66/2=33
OR
2. 66 x 1/2 = 33 OR 66 x .5 = 33
The answer is 33 kilograms
(d) The particle moves in the positive direction when its velocity has a positive sign. You know the particle is at rest when
and
, and because the velocity function is continuous, you need only check the sign of
for values on the intervals (0, 3) and (3, 6).
We have, for instance
and
, which means the particle is moving the positive direction for
, or the interval (3, 6).
(e) The total distance traveled is obtained by integrating the absolute value of the velocity function over the given interval:

which follows from the definition of absolute value. In particular, if
is negative, then
.
The total distance traveled is then 4 ft.
(g) Acceleration is the rate of change of velocity, so
is the derivative of
:

Compute the acceleration at
seconds:

(In case you need to know, for part (i), the particle is speeding up when the acceleration is positive. So this is done the same way as part (d).)
7x-2 is how it’s written in standard form
AB= 45 degrees central angle theorem