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:
x= 5
Step-by-step explanation:
Your teacher should have explained it but give me points please
The new length of the running trail would be 6.286 miles
Surface area of the cylinder is 294π in².
Step-by-step explanation:
- Step 1: Surface area of a cylinder = 2πrh + 2πr² Here, r = 7 in, h = 14 in
⇒ Surface Area = 2 × π × 7 × 14 + 2 × π × 7 × 7
= π (196 + 98) = 294π in²
Answer:
Step-by-step explanation:
The complete question in the attached figure
we know that
The surface area of a cube is equal to the area of its 6 squares faces
so
The area of one square face is equal to
where
b is the length side of the square
we have
substitute
---> area of one square face
Find the surface area of three cubes
Multiply the area of one square face by 6 (one cube has 6 faces) and then multiply the result by 3 (3 cubes)
so
![SA=3[6(1)]=18\ ft^2](https://tex.z-dn.net/?f=SA%3D3%5B6%281%29%5D%3D18%5C%20ft%5E2)
