I assume you mean the product of mixed numbers,
3 1/2 × 3 1/2
If we write this as
(3 + 1/2) × (3 + 1/2) = (3 + 1/2)²
we can use the identity
(a + b)² = a² + 2ab + b²
so that
3 1/2 × 3 1/2 = 3² + (2 × 3 × 1/2) + (1/2)²
3 1/2 × 3 1/2 = 9 + 3 + 1/4
3 1/2 × 3 1/2 = 12 1/4
Alternatively, we can first write 3 1/2 as a mixed number:
3 + 1/2 = 6/2 + 1/2 = (6 + 1)/2 = 7/2
Then
3 1/2 × 3 1/2 = 7/2 × 7/2 = (7 × 7) / (2 × 2) = 49/4
and
49/4 = (48 + 1)/4 = ((4 × 12) + 1)/4 = 12 + 1/4
Answer:
lateral area ≈ 668 m²
surface area ≈ 740 m²
Step-by-step explanation:
The lateral area of a triangular prism = perimeter of the base × height of the prism
lateral area = ph
where
p = perimeter of the base
h = height or altitude
Base edges are 8m , 9m and 12.04m and height is 23 m.
lateral area = ph
lateral area = (8 + 9 + 12.04) × 23
lateral area = 29.04 × 23
lateral area = 667.92 m²
lateral area ≈ 668 m²
Surface area
surface area = lateral area + 2B
where
B = area of it triangular bases
surface area = lateral area + 2B
surface area = 667.92 + 2(1/2 × base × height)
surface area = 667.92 + 2(1/2 × 8 × 9)
surface area = 667.92 + 2(1/2 × 72)
surface area = 667.92 + 2(36)
surface area = 667.92 + 72
surface area = 739.92
surface area ≈ 740 m²
Answer:
B
Step-by-step explanation:
you have to make chart. You have to add 1.25 to your total every 6 months.
- Start $15.50
- 6 months $15.75
- 12 months $18.00
- 18 months. $19.25
Answer:
36
Step-by-step explanation:
The initial term is the very first term
36, 24, 16, ...?
has an initial term of 36
The answer for c would be 805