Answer:
-15
Step-by-step explanation:
-24 + (1-4)^2 (solve parentheses first)
= -24 + (-3)^2 (solve exponent)
= -24 + 9
= -15
First lets get the formula for a triangular prism
First lets plug in our numbers
It really doesnt matter how you multiply everything, but you end up with 119cubic feet.
Answer:
B)
Step-by-step explanation:
If two square matrix, with same dimensions, are inverse of one another, their product will always be the identity matrix with the same dimensions.
The matrix A and B are 2x2, so the result of the product A * B is a 2x2 identity matrix, that is represented as follows:
I = [1 0 ; 0 1]
(First line: 1 0, second line: 0 1)
So the correct option is B)
Answer:
∠1 = 72°
∠2 = 54°
∠3 = 54°
∠4 = 72°
Step-by-step explanation:
In the isosceles triangle in which ∠4 is the top vertex angle and ∠3 & 54° are it's base angles. As it is an isosceles triangle , ∠3 = 54°
Using angle sum property of a triangle ,
∠4 + ∠3 + 54° = 180°
⇒ ∠4 + 54°+ 54° = 180°
⇒ ∠4 = 180° - 108° = 72°
Diagonals of a rhombus bisect the vertex angles of a rhombus. So,
∠2 = ∠3 = 54°
Also , opposite vertex angles of a rhombus are equal, So , ∠1 = ∠4 = 72°
