A wall clock has a minute hand that is 12 inches long. What is the area of the sector
formed by the hands of the clock when it is 4:00?

Step-by-step explanation:

The wall clock has handas that move 360°. So, if it's equally distributed then, we can divide

Thich means that during each interval of hour, the hands move 30°.

So, if the wall clock is showing 8 o'clock, than one hand is pointing 12, which is gonna be the reference point 0°. The hour hand would be at number 8, which forms an angle of

Now, to find the circular sector area we used the following formula

Where and , because the radius is defined as half the diameter.

Replacing all these values and , we have

Therefore, the area of the smaller sector formed by the minute and hour hands is 81.8 square inches.

Step-by-step explanation:

The wall clock has handas that move 360°. So, if it's equally distributed then, we can divide

Thich means that during each interval of hour, the hands move 30°.

So, if the wall clock is showing 8 o'clock, than one hand is pointing 12, which is gonna be the reference point 0°. The hour hand would be at number 8, which forms an angle of

Now, to find the circular sector area we used the following formula

Where and , because the radius is defined as half the diameter.

Replacing all these values and , we have

Therefore, the area of the smaller sector formed by the minute and hour hands is 81.8 square inches.

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

The solution is in the following image

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.