A water sprinkler sends out water in a circular pattern. How many feet away from the sprinkler can it spread water is the area formed by the watering pattern is 530.66 square feet? Use 3.14

r= 13ft

Step-by-step explanation:

You are looking for the radius

The Area of a circle is  

πr2=530.66

(3.14)r2=530.66

Divide both sides by 3.14

r2=169

Square root both sides to get radius

r=13 feet

b.) 160 miles on a 5 gallons car

step-by-step explanation:

240/10=24 miles/gallon

160/5=32 miles/gallon

30/1=30 miles/gallon

168/6= 28 miles/gallon

32 miles/gallon is the most amount, so this is the best.

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".