9514 1404 393
Answer:
D. 105 ft²
Step-by-step explanation:
The total surface area is the sum of the base area and the triangular face areas.
Area of base:
A = s²
A = (7 ft)² = 49 ft²
Area of 4 triangles:
A = 4(1/2)bh
A = 2(7 ft)(4 ft) = 56 ft²
Total surface area:
base area + triangle area = 49 ft² +56 ft² = 105 ft²
If there are 189 children, then there are 189 divided 7 = <em>27 groups of 7 children.</em>
As mentioned in the problem,<em> for every 7 children, there are 2 caretakers </em>therefore, there are a total of 2 x 27 = 54 caretakers in the local daycare.
So, in total, there are 189 children + 54 caretakers = 243 people in the daycare facility.
Answer:
36 miles
Step-by-step explanation:
(Imagine a huge triangle on a perfectly open space-- not with streets or houses or cornfields.)
The dimensions of the two sides given are multiples of a classic Pythagorean Triple: 3, 4, 5. 
9 is 3x3, 12 is 3x4 so the remaining side would be 3x5 15
Add those 3 sides to get the total distance, 36 miles.
It is 8 because you divided it
Answer:
p^3 / q^12
Step-by-step explanation:
p^6 q^4
------------------
p^3 q^16
We know a^b / a^c = a^(b-c)
First with variable p
p^6 / p ^3 = p^(6-3) = p^3
Then with variable q
q^4 / q^16 = q^(4-16) = q^-12 and a^-b = 1/ a^b = 1 /q^12
p^3 * 1/ q^12
p^3 / q^12
