Answer:
129.3 in²
Step-by-step explanation:
The shaded segment is calculated as
area of sector ABC - area of triangle ABC
area of sector = area of circle × fraction of circle
A = πr² × 
= π × 18² × 
= 324π ×
= 54π in²
area of Δ ABC =
× 18 × 18 × sin60° ≈ 40.30 in²
Then
shaded area = 54π - 40.30 ≈ 129.3 in² ( to the nearest tenth )
FIND LOT AREA:
Area = length * width
A= 18 feet * 45 feet
A= 810 feet squared
FIND # OF YARDS:
1 yard= 3 feet
Divide number of square feet by number of feet per yard.
Yards= 810 ÷ 3
Yards= 270
FIND PRICE OF SOD:
multiply number of yards by price per square yard.
Price= 270 yards * $12/yard
Price= $3,240
ANSWER: Cindy will pay $3,240 to cover the lot with sod.
Hope this helps! :)
B. ) Unless you're missing some data.
<span>y = <span>x2 </span>+ 5x + 36
y = (<span>x2 </span>− 5x − 36)</span>
<span>y = (<span>x2 </span>− 9x + 4x − 36)</span>
<span>y = [x (x − 9) + 4 (x − 9)]</span>
<span>y = (x − 9)(x + 4)</span>
Answer:
3
Step-by-step explanation:
There is no x in the equation, so I will assume solving for m
Distribute:
3m + 21 = 6m + 12
Subtract 3m and 12
3m = 9
Divide by 3
m = 3