Answer:
-4x^2 + 237x - 675
Step-by-step explanation:
(x - 3)*(232 - 4x -7) >> Distribute x and -3 to the trinomial
232x - 4x^2 - 7x - 696 + 12x + 21 >> Simplify
-4x^2 + 237x - 675
Answer:
The third side is around 58.043
Step-by-step explanation:
Use the law of cosines: 
Plug in the two sides we know (into a and b) and the angle we know (into angle C).
Thus:
Use a calculator:
(Note: Make sure you're in Degrees mode.)
Answer:
55.95 ft²
Step-by-step explanation:
Circumference formula: C = 2πr => r = C / (2π)
Area formula: A = πr²
Substituting C / (2π) for r in the above equation, we get:
C 47 ft
A = π( ----------- )² = π ( -------------- )²
2π (2π)
or ...
π(47 ft)² 2209 ft²
A = ---------------------- = -------------------- = 55.95 ft²
4π² 4(3.14159)²
There are 20 cups and each one holds 10 fluid ounces. Assuming that she wants to fill them all up to the brim and use the complete 10 fluid ounces for each cup this means she would have a total of 200 fluid ounces: 20 * 10 = 200
1 gallon = 4 quarts
1 quart = 32 fluid ounces
This means that for every gallon she has 128 fluid ounces: 1 gallon (4 quarts/1gallon)(32 fluid ounces/1 quart) = 128
This means she needs at least 200 fluid ounces and she must buy another gallon to satisfy this; 128 * 2 = 256 fluid ounces.
She needs to buy 2 gallons but will have an extra 56 fluid ounces
