Answer:
[tex]\boxed{\text{5625 ft}^{2}}}[/tex]
Explanation:
On the map, 300 ft = 1 in
So, for the parking lot
[tex]\text{0.25 in} = \text{0.25 in} \times \dfrac{\text{300 ft}}{\text{1 in}} = \text{75 ft}[/tex]
The formula for the area of a square is
A = l², where l is the length of a side.
A = (75 ft)² = 5625 ft²
[tex]\text{The area of the parking lot is }\boxed{\textbf{5625 ft}^{2}}}[/tex]
An animal shelter uses 21 cups of food to feed 12 dogs and 15 cats one meal each. How many cups of food are needed to feed one meal to 16 dogs and 20 cats?
Answer:
36 cup will be needed to feed one meal to 16 dogs and 20 cats.
Which expression is a sum of cubes?
Answer:
-27a³b⁶ + 8a⁹b¹²
Explanation:
Every term in the expression above every term is a perfect cube.
In the first term (-27a³b⁶), -27 is a perfect cube of -3 while the exponents of a and b are both divisible by three.
In the second term (8a⁹b¹²),8 is a perfect cube of 2 while the exponents of a and b are divisible by three.
If the index of a number is divisible by three to give a whole number, the result of finding the cube root is a whole number hence a perfect cube root.
Answer:
A) [tex]-27a^{3}b^{6} + 8a^{9}b^{12}[/tex]
Explanation:
-27 can be divided by -3 and the cube root of 8a^9 b^12 is 2a^3 b^4