Answer:
one cubes: 73.5 ft²
two cubes: 147 ft²
Step-by-step explanation:
Using plastic to construct a cube means finding the surface area of the figure. The general formula for the surface area of a cube is:
SA = 6s², where 's' is the measure of one side.
Since one side is 3.5 feet:
SA = 6(3.5)² = 73.5 ft² per cube
Two cubes: 73.5 x 2 = 147 ft²
Area of square = s^2
Area of Rectangle = lw
l = 2s
w+3 = s
solve for w, w=s-3
Now we have l and w.
Plug both into area of rectangle formula so: (2s)(s-3)
Since both areas are equal set both equations equal to each other:
(2s)(s-3)=s^2
Now simplify
2s^2-6s=s^2
s^2-6s=0, Solve for s.
Factor polynomial. s(s-6)=0 , s can be equal to 0 or 6. HOWEVER, you cannot have a side length of 0 therefore the side length has to be 6.
Now plug in s for the length formula for the rectangle:
l = 2s so... l = 2(6) so length of rectangle = 12.
Now plug in s for the width formula for the rectangle:
w+3=s so... w+3=6 so width of rectangle = 3.
Now the dimensions of the rectangle are 12 by 3. 12 being length and 3 width.
To CHECK:
Find area of rectangle:
A=lw so A=3 times 12 so A=36
Find area of square:
We know the side is equal to 6 so
A=s^2 so 6^2 = 36
The areas are equal that verifies the answer of 12 by 3.
Answer:
Interest rate is about 12.246%
The initial deposit doesn't matter because when you divide both sides by the initial deposit you're always left with (1+i)ⁿ=2
Step-by-step explanation:
7. In order to solve this problem, we subtract 70 from Hal's amount of money and multiply the result. This written out is:
(170-70)*5
This is equal to 500, so Bob has $500. D. is the correct answer.
8. Our first step in solving this problem is subtracting the cost of renting the studio from her total budget. This is:
318-109.50 = 208.5
Now, we divide 208.5 by 15 to see how many people can attend.
208.5/15 = 13.9
Because we are looking for the amount of people that can attend the class, we round 13.9 down. This means that 13 people can attend the class, so A. Is the right answer.