A right triangular prism is constructed so that its height is equal to the leg length of the base.
1 answer:
Answer:
V = cubic units
Step-by-step explanation:
Given the information
- A right triangular prism has the height is equal to the leg length of the base.
- The right triangles have 2 sides with a length of x
=> the height = x
As we know, the formula used to determine the volume of a right triangular prism is:
V = The base area * the height
In this situation, we have
V =
<=> V = cubic units
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Answer:
1.84
Step-by-step explanation:
The given arc is a part of a unit circle centered at origin.
The x-coordinate on the unit circle represent the cosine value and y-coordinate on the unit circle represent sine value.
So, for angle equal to °, the x coordinate represents
°.
So, ° = 0.86
Similarly, the y-coordinate of angle y represent °.
So, ° = 0.98
Therefore, the value of ° +
° = 0.86 + 0.98 = 1.84.
Answer:
-4
+3
12
-0.5, 12.25
x = -0.5
Step-by-step explanation:
The x intercepts are the values of x when y = 0 ie the roots of the equation
or
We can re-write the above as:
(x+4) (x-3) = 0
This gives the two roots as x = -4 and x = +3. Leftmost (smallest) root is -4 and rightmost(largest) root is +3
y intercept is when x = 0. Plugging into the original equation, y value at x = 0 is 12
Vertex x value is given by the formula -b/2a where a is the coefficient of x^2 and b the coefficient of x
Here a = -1, b= -1 so vertex x value = - (-1)/(-1).2 = - 1/2 = -0.5
Plugging this value of x into the original function gives the vertex y value
The line of symmetry is the vertical line corresponding to the vertex x value so line of symmetry is at x = -0.5
The graph of the quadratic function shows these values
