Answer/Step-by-step explanation:
1. Perimeter of the building = sum of all the length of the outer borders surrounding the building = 1,718 ft
Thus:
4x - 6 + 2x + 3x + 2(3x + 4) + 3x + 2x + x + x + x + 2x + 4x - 6 + 2(3x + 4) + 4x - 6 + 3x = 1,718
Open the Parentheses
4x - 6 + 2x + 3x + 6x + 8 + 3x + 2x + x + x + x + 2x + 4x - 6 + 6x + 8 + 4x - 6 + 3x = 1,718
Combine like terms
42x - 2 = 1,718
42x = 1,718 + 2
42x = 1,720
x ≈ 41
2. Missing perimeter of Building = 2x + 2x + 4x - 6
Simplify
= 8x - 6
Plug in the value of x
= 8(41) - 6
= 322 ft
3. Area of English Building = length * width
= (4x - 6 + 2x)(3x)
Simplify
= (6x - 6)(3x)
Plug in the value of x
= (6(41) - 6)(3(41))
= (246 - 6)(123)
= (240)(123)
= 29,520 ft²
Answer:
5/8
Step-by-step explanation:
Explanation:
First you need to put the same base for both numbers, finding the minimum common multiple of 4 and 8, that's 8.
Turning 1/4 in a number with 8 as base: first, divide 8 : 4 = 2. Then multiply 1/4 x2 and it will be 2/8.
Then you're able to calculate it: keep the base and add the tops
2/8 + 3/8 = 5/8
Take the equation <span> h (t) = 73 – 16 t^2 and plugin 9 for h(t) and then solve for t like the following:
</span>9 = 73 - 16 t^2
9 - 73 = 73-73 - 16t^2
-64 = -16t^2
-64 / -16 = -16t^2 / -16
4 = t^2
Now square both sides of 4 = t^2
2 = t
t = 2
Answer = 2 seconds
