A rectangular prism is a polyhedron with six rectangular faces. To fully define a rectangular prism, one must know its length, width and height. The volume of a rectangular prism is expressed as the product of its dimensions - length, width and height. To calculate for its width, we use the volume formula.
V = l x w x h
From the given, we have:
l = 3w
h = 2 + w
V = 135 ft^3
Substituting the given expressions,
135 ft^3 = 3w (w) (2+w)
135 ft^3 = 6w^2 + 3w^3
Solving for w, we obtain the following values:
w1= 3
w2 = 2.5 + 2.96i
w3 = 2.5 - 22.96i
Since width should not have a negative value, the value of w should be 3 ft.
Givens
Call one of the angles = x
The other one is 180 - x
They are in the ratio of 3 to 5
Equation
3/5 = x / (180 - x)
Solve
3/5 = x / (180 - x) Cross Multiply
3*(180 - x) = 5x
540 - 3x = 5x Add 3x to both sixes
540 = 5x + 3x
540 = 8x
Divide both sides by 8
540 / 8 = x
x = 67.5
One angle is 67.5
The supplement is 180 - 67.5 = 112.5
Check
67.5/112.5 = 0.6 which is the same thing as 3/5
Answer:
40 students
Step-by-step explanation:
We need a system of equations to find x or the students in advance:
2x + 4y = 800
x + y = 220
We can use substitution and isolate y in the second equation, which gives us y = 220 - x.
When we plug this into the first equation, we get 2x + 4(220 - x) = 800 and solving for x gives us x = 40.
Answer:
The range of the function will be (- ∞, 4].
Step-by-step explanation:
See the graph attached.
Here we have to get the range of the graphed function.
The value of y in the graphed function varies in the range of less than or equal to 4.
Because the graph of the function does not move beyond 4 towards +∞.
Therefore, the range of the function will be (- ∞, 4]. (Answer)
Answer:
<h2>B. Division Property of Equality </h2>
Step-by-step explanation:
