Answer:
a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression (e.g. 3 in 23 = 2 × 2 × 2).
Step-by-step explanation:
The area of the base would be found using the area of a triangle formula which is 1/2 x base x height.
The base and height are the two sides perpendicular to each other, which are both 5 inches.
The area of the base = 1/2 x 5 x 5 = 12.5 square inches.
The volume of the triangular prism is the area of the base times the height, which is 4 inches.
Volume of the triangular prism is 12.5 x 4 = 50 cubic inches.
Volume of the triangular prism is 1/3 x area of base x height, which is 7:
Volume of the triangular prism = 1/3 x 12.5 x 7 = 29.17 cubic inches.
Total volume = 29.17 + 50 = 79.17 cubic inches.
Answer:
This would bring you to $160.00. This is because you initially had $20.00, because of the $13 and $7. Then, your family gave you a total of $140.00, and 140 + 20 = 160.
Step-by-step explanation:
Answer:
a = 9
Step-by-step explanation:
First we need to add (x^2+3x) to (3x^2+ax),
(x^2+3x)+(3x^2+ax)
Expand
= x^2+3x+3x^2+ax
Collect the like terms
= x^2+3x^2+3x+ax
= 4x^2 + 3x + ax
= 4x^2+(3+a)x
Equate the solution to 4x^2+12x
4x^2+(3+a)x = 4x^2+12x
Comparing the like terms on both sides
(3+a)x =12x
3 + a = 12
a = 12 - 3
a = 9
Hence the value of a is 9
