OK, so to simplify the left hand side, we need to multiply -12 and -5 to get our final exponent for j, therefore we get j^60 = j^t,so t=60 is your answer
If you change to feet then you have 6 feet divide that by 5 and you have each piece is 1.2 feet long.
If the pond were a rectangle, then:
length=15 m
width=6 m
We would have to calculate the perimeter of this rectangle.
Perimeter of a rectangle=2(length)+2(width)
Perimeter of this rectangle=2(15 m)+2(6 m)=30 m+12 m=42 m
We need 42 m and I only have 40 m, therefore, it would not be enough for fencing the pond.
Answer:
Apothem: 6m
hypotenuse : slant height : 6√2 m
height :6m
volume: 288m2
Step-by-step explanation:
Hi, the correct values are: (image attached down below)
Base length= 12m
Slant height is actually = 6√2
So, to calculate the apothem (AC)we apply the Pythagorean theorem:
AB^2 = AC^2 + BC^2
√AB^2 -BC^2 = AC
AC = √(6√2)^2 - 6^2
AC =6 meters
Hypotenuse of ABC = AB =6√2 meters
Height = AC = 6 meters
Volume:
Volume of a pyramid = 1/3 x base area x height
area of a square = side length ^2 = 12^2
V= 1/3 x 12^2 x 6 =288 m2