Let's find the area of each shape that makes up the prism. Let's first start with the triangles.
There are two identical triangles on both ends of the prisms. They have a height of 12 and a base 18. Let's find the area of both of the triangles.
12×18=216
216 is the area of both triangles. Each triangle has an area of 108 though.
Let's find the area of the two rectangles.
There are two identical rectangles that are 30 m by 15 m. Let's find the area of both.
30×15=450×2=900
So, the area of both rectangles together is 900.
Let's find the area of the rectangle that acts as the base in the picture.
There's only one and it's 30 m by 18 m.
30×18=540
Let's add everything together.
540+900+216
1440+216
1656
So, the surface area is 1656 m².
Answer:
Yes.
Step-by-step explanation:
Exponential Parent Function: 
If we write out the equation:
Whenever we have an exponent of <em>x</em>, it is a exponential function. The 5 is simply the base of the exponent and the 6 means we are vertically stretching the graph by a factor of 6.
Answer: they can rent the room for less than 6 hours.
Step-by-step explanation:
Let x represent the possible amounts of time in which they can rent the room.
There is a reservation fee of $47 and an additional hourly fee of $7.40. This means that the total cost of renting the room for x hours would be
47 + 7.4x
The math club wants to spend less than $91.40 on renting the room. This would be expressed as
47 + 7.4x < 91.4
7.4x < 91.4 - 47
7.4x < 44.4
x < 44.4/7.4
x < 6
<h3>
Answer: (c * d)(x) =
4x^3 + 18x^2 - 10x</h3>
Work Shown:
I'm assuming the dot means multiplication. If so, then,
(c * d)(x) = c(x)*d(x)
(c * d)(x) = [ c(x) ] * [ d(x) ]
(c * d)(x) = (4x-2)(x^2+5x) .... substitution
(c * d)(x) = 4x(x^2+5x) - 2(x^2+5x) ... distribute
(c * d)(x) = 4x(x^2)+4x(5x) - 2(x^2)-2(5x) ... distribute again
(c * d)(x) = 4x^3 + 20x^2 - 2x^2 - 10x
(c * d)(x) = 4x^3 + 18x^2 - 10x
