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Answer:
- rectangular prism: 288 ft³
- triangular prism: 72 ft³
- total: 360 ft³
Step-by-step explanation:
The volume of a rectangular prism is given by the formula ...
V = LWH . . . . . the product of length, width, height
This rectangular prism has a volume of ...
V = (12 ft)(6 ft)(4 ft) = 288 ft³ . . . . rectangular prism volume
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The volume of a triangular prism is found from the formula ...
V = Bh
where B is the area of the triangular base, and h is the height of the prism (distance between the triangular bases). The triangular base area is found from ...
A = 1/2bh . . . . .where b is the base of the triangle, and h is its height.
Here, we have ...
B = 1/2(6 ft)(4 ft) = 12 ft²
V = Bh = (12 ft²)(6 ft) = 72 ft³ . . . . triangular prism volume
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The total volume of the given geometry is the sum of the volumes of the parts:
aquarium volume = 288 ft³ +72 ft³ = 360 ft³
Answer:
C)17
Step-by-step explanation:
5+y+8
let y=4
5+4+8
9+8
17
Answer:
A. g(x) = -2^x.
Step-by-step explanation:
If g(x) = -2, it would be a straight line running horizontally.
If g(x) = -x, it would be a linear equation.
If g(x) = -|x|, it would be an absolute value function, which is a graph in a v-shape.
So, the remaining answer is that A. g(x) = -2^x.
Hope this helps!
Answer: C) y = -5x + 27 and D) y = 2x - 15
<u>Step-by-step explanation:</u>
Substitute x = 6 and y = -3 into each of the given equations to see which result in a TRUE statement.
A) y = -3x + 6
-3 = -3(6) + 6
-3 = -18 + 6
-3 = -12 FALSE
B) y = 2x - 9
-3 = 2(6) - 9
-3 = 12 - 9
-3 = 3 FALSE
C) y = -5x + 27
-3 = -5(6) + 27
-3 = -30 + 27
-3 = -3 TRUE!
D) y = 2x - 15
-3 = 2(6) - 15
-3 = 12 - 15
-3 = -3 TRUE!
E) y = -4x + 27
-3 = -4(6) + 27
-3 = -24 + 27
-3 = 3 FALSE
Answer:i kinda don't understand but i guess you mean sqrt11/2?
Step-by-step explanation:2x^2+11=0 easy move
