The area of the triangular base is
A = (1/2)bh
A = (1/2)(5 units)(12 units)
A = 30 units²
The "height" of the prism is 6 units, so the volume is
V = (area of base)×(height)
V = (30 units²)×(6 units)
V = 180 units³
The appropriate choice is
A. 180 units³
Answer:
C. In a meeting room for a business event, there are 4 fewer chairs laid out in each row than the number of rows. The total number of chairs in the room is 60.
Step-by-step explanation:
To find the total number of chars, we multiply the number of rows by the number of chairs in each row.
Let the number of rows be x. There are 4 fewer chairs in each row than the number of rows; this gives us (x-4). Together, this gives us
x(x-4).
We know there are 60 chairs; this gives us
x(x-4) = 60
Using the distributive property,
x(x)-4(x) = 60
x²-4x = 60
Answer:
6x^2 -2x
Step-by-step explanation:
As written, the constant terms in the first factor cancel each other. The distributive property is used to perform the multiplication:
(3x^2 +1 -1 -x)(2) = (3x^2 -x)(2) = (3x^2)(2) -x(2)
= 6x^2 -2x
Answer: 7^5 or 7 to the fifth power.
Step-by-step explanation: This is an exponent meaning you count the 7’s and in the first picture there’s 5 7’s. This means that the number your putting to a power is the yellow box so that’s 7 and the exponent is 5 not 4 because if you did 7 to the first power it’s still 7 so it would be 7 to the 5th power or 7^5
Answer:
20 units
Step-by-step explanation:
The formula for the area:
A = bh × 1/2
B = 8 units
H = 5 units
8 × 5 = 40
40 × 1/2 = 20
