Anna is preparing the soil in her garden for planting tomatoes. The directions say to use 4 pounds of fertilizer for 120msquare feet of soil. How much fertilizer is needed for a 180 square-foot garden

6 pounds of fertilizer.

Step-by-step explanation:

We can solve this problem using rule of three:

Anna needs to use 4 pounds of fertilizer for each 120 square feet of soil. With that values, we make the first fraction: 4/120

Now, she needs X pounds of fertilizer for 180 square feet of soil. The fraction now is X/180

Then, we need to make the first fraction equal to the second, and then find the value of X:

4/120 = X/180

X = 4*180/120 = 6

So Anna will need 6 pounds of fertilizer.

Another way to solve this problem is calculating the amount of soil for one pound of fertilizer:

If 4 pounds of fertilizer is necessary for 120 square feet of soil, 1 pound is necessary for 120/4 = 30 square feet of soil.

If we have 180 square feet of soil, we divide 180 by 30 to find the amount of fertilizer necessary:

180/30 = 6 pounds of fertilizer.

the arc length is found by finding the circumference of the full circle (2xpixradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).