Ah... good ol' square roots...
Whenever you take the square root of multiplication or division, you can do the square roots separately. So, we can write:
This nifty truth allows us to easily find the answer:
All done!
Answer:
lol put more points 8 too little bit
Answer:
30.42 (if rounded to the tenths place)
Step-by-step explanation:
Answer:
guests.
Step-by-step explanation:
We have been given that there are 7/8 quarts of orange juice. Mrs. Mathewson would like to serve her guests 3/16 quarts orange juice.
To find the number of guests Mrs. Mathewson can serve with 7/8 quarts of juice, we will divide 7/8 by 3/16 as:
Convert to multiplication problem by flipping the 2nd fraction:
Therefore, Mrs. Mathewson can serve orange juice to guests.
Temporarily subdivide the given area into two parts: a large rectangle and a parallelogram. Find the areas of these two shapes separately and then combine them for the total area of the figure.
By counting squares on the graph, we see that the longest side of the rectangle is the hypotenuse of a triangle whose legs are 8 and 2. Applying the Pyth. Thm., we find that this length is √(8^2+2^2), or √68. Similarly, we find the the width of this rectangle is √(17). Thus, the area of the rectangle is √(17*68), or 34 square units.
This leaves the area of the parallelogram to be found. The length of one of the longer sides of the parallelogram is 6 and the width of the parallelogram is 1. Thus, the area of the parallelogram is A = 6(1) = 6 square units.
The total area of the given figure is then 34+6, or 40, square units.
