Ms. Hawkins wants to make awards for her students in the shape of pencils, using the design shown below. What is the area of the award to the nearest tenth of a square inch?

74 in²

Step-by-step explanation:

Area of semicircle :

(πr²) ÷ 2

r = 3

(π * 9) / 2 = 14.137 in²

Area of triangle :

1/2 * base * height

Base = diameter = radius * 2 = 3 * 2 = 6

height = 4 inches

1/2 * 6 * 4 = 12in²

Area of rectangle :

Length * width

8in * 6 in

= 48 in²

Total area of pencil :

(14.137 + 12 + 48) in²

= 74.137 in²

The answer is in the image 

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

The answer is in the image 

The total nom of  code that can be used is equal to 5+3 = 8

The answer is in the image 

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

The answer is in the 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