If TWO^2 = THREE where the alphabets are single-digit integers then find T + W + O
1 answer:
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Split the surface area into geometric shapes as shown in the figure below.
Top part
The area of one triangle is
A₁ = (1/2)*(10 cm)*(4 cm) = 20 cm²
There are 3 of these triangles.
Vertical sides..
The area of one vertical side is
A₂ = (10 cm)*(6 cm) = 60 cm²
There 3 of them.
Bottom part
The triangle is equilateral with each side = 10 cm, and each angle = 60 deg.
The area is (from the Law of Sines) equal to
A₃ = (1/2)(10 cm)*(10 cm)*sin(60) = 43.3 cm²
The total surface area is
3A₁ + 3A₂ + A₃
= 3*20 + 3*60 + 4.3
= 283.3 cm²
Answer: The surface area is 283.3 cm²
Top part
The area of one triangle is
A₁ = (1/2)*(10 cm)*(4 cm) = 20 cm²
There are 3 of these triangles.
Vertical sides..
The area of one vertical side is
A₂ = (10 cm)*(6 cm) = 60 cm²
There 3 of them.
Bottom part
The triangle is equilateral with each side = 10 cm, and each angle = 60 deg.
The area is (from the Law of Sines) equal to
A₃ = (1/2)(10 cm)*(10 cm)*sin(60) = 43.3 cm²
The total surface area is
3A₁ + 3A₂ + A₃
= 3*20 + 3*60 + 4.3
= 283.3 cm²
Answer: The surface area is 283.3 cm²
Answer:
Option C
Step-by-step explanation:
- For the matrix A of order
to be invertible, its determinant must not be equal to zero, |A|
0,
exists if- AC = CA = I, where I is identity matrix.
- The homogeneous equation with coefficient matrix A has a unique solution:
AB = 0, B =
Thus, B = (0, 0, 0......., 0) is a unique solution
2. The non - homogeneous equation system with coefficient matrix A has a unique solution:
For an equation- AY = D
Y = is a unique solution
3. Every non homogeneous equation with coefficient matrix A is not consistent as:
For an equation- AY = D, has a solution.l Thus coefficient matrix is inconsistent whereas augmented matrix is.
4. Rank of matrix A = n, Thus the column space of A is
5. Since, column space of A = , thus x→xA is one-to-one