Step-by-step explanation:
h = height of rectangle (should be "length", but ok)
w = width of rectangle
w = h + 97
the diagonal of the rectangle is the Hypotenuse (baseline) of a right-angled triangle with the legs being one height and one width side of the rectangle.
so, we use Pythagoras
c² = a² + b²
with c being the Hypotenuse (the side opposite of the 90° angle).
diagonal² = h² + (h + 97)² = h² + h² + 2×97h + 97²
113² = 12769 = 2h² + 194h + 9409
3360 = 2h² + 194h
1680 = h² + 97h = (h + 97/2)² - 9409/4
(completing the square)
6720/4 + 9409/4 = (h + 97/2)²
16129/4 = (h + 97/2)²
127/2 = h + 97/2
30/2 = h = 15
the height is 15.0 in
Answer:
Simplified: 40
Step-by-step explanation:
To simplify this, we need to first separate the terms in this expression. There is a property of exponents that says: 
We can do this same thing to simplify this expression. Next, we can simplify each of these terms. 
simply becomes 4. In the other term, the 
simply cancel each other and leave the 10. This means that we're left with 4*10, which is 40
Answer:
1296
Step-by-step explanation:
the y is multiplying by six each time 6*6 = 36
36*6 = 216
216*6 = 1296
2196 = 7776
Answer:
28.26
Step-by-step explanation:
circumference= 2πr or πd (diameter)
9 x 3.14=28.26
From April to December =9 months
the depreciation expense
3,600×(9÷12)=2,700
