<u>Given</u>:
Given that the triangular prism with height 10 inches.
The side lengths of the base of the triangle are 12 inches, 13 inches and 5 inches.
We need to determine the surface area of the prism.
<u>Surface area of the prism:</u>
The surface area of the prism can be determined using the formula,

where b is the base and h is the height of the triangle.
s₁, s₂, s₃ are the side lengths of the triangle and
H is the height of the prism.
Substituting b = 12, h = 5, s₁ = 12, s₂ = 5, s₃ = 13 and H = 10 in the above formula, we get;




Thus, the surface area of the triangular prism is 360 square inches.
Hence, Option b is the correct answer.
Answer: 0.6666666667
Step-by-step explanation: Simplifying
9t + -3t = 4
Combine like terms: 9t + -3t = 6t
6t = 4
Solving
6t = 4
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Divide each side by '6'.
t = 0.6666666667
Simplifying
t = 0.6666666667
Answer:
a repeating decimal repeats while a terminating decimal ends
Step-by-step explanation:
D/dx ( cos (4x)) = - sin (4x) · d/dx ( 4x) = - 4 sin (4x)
Step-by-step explanation:
To divide by a fraction, multiply by its reciprocal.
1) (m² / 9) / (n² / m)
(m² / 9) × (m / n²)
m³ / (9n²)
2) (4 / y) / (2 / (yx))
(4 / y) × (yx / 2)
2x
3) (x² / y) / (1 / y)
(x² / y) × (y / 1)
x²
4) (3 / b) / (9 / a²)
(3 / b) × (a² / 9)
a² / (3b)
5) (x² / 16) / (16 / y²)
(x² / 16) × (y² / 16)
x²y² / 256