9514 1404 393
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:
Solutions are (3,1) and (4,2)
Step-by-step explanation:
Graph is shown in the attached sheet
Given are two systems of equations and we have to solve them using graph
For graphing let us first prepare table for x and y.
1) 
I line II line
x 0 4.5 3 x 0 2.5 3
y 3 0 1 y -5 0 1
The two lines intersect at (3,1)
Hence solution is (3,1)
--------------------------------------------
2) 
I line II line
x 0 2 4 x 0 6 4
y 0 1 2 y 3 0 2
The two lines intersect at (4,2)
Hence solution is (4,2)
Answer:
2y=11 - 5x
Step-by-step explanation:
An equation that is parallel shares the same gradient thus
2y= -5x - 8
y = -5/2x- 4
gradient m = -5/2
substitute value of m and the co-ordinates into a new linear equation
y = mx + c
-9 = (-5/2)(8) + c
c = 20-9 = 11
thus y = -5/2x + 11
2y=11 - 5x
Answer:
For the dot to dot, the slope is 8/4
simplified = 2
Step-by-step explanation:
Cos A = adjacent/hypotenuse
Cos A = 9/26 = 0.346
