A box contains 288 sugar cubes. You open the top of the box and count 12 cubes across the front and 6 cubes along a side. How ma
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Hi there! Use the following identities below to help with your problem.
What we know is our tangent value. We are going to use the tan²θ+1 = sec²θ to find the value of cosθ. Substitute tanθ = 4 in the second identity.
As we know, sec²θ = 1/cos²θ.
And thus,
Since the given domain is 180° < θ < 360°. Thus, the cosθ < 0.
Then use the Identity of sinθ = tanθcosθ to find the sinθ.
Answer
- sinθ = -4sqrt(17)/17 or A choice.
The height of squared pyramid is unit.
A cube is a solid three-dimensional object with six square faces or sides, three of which meet at each vertex. One of the five Platonic solids, the cube is the only regular hexahedron. It contains 8 vertices, 6 faces, and 12 edges.
Volume of cube
Given the height of cube is unit.
Volume of cube is
Let the height of squared pyramid is unit
Volume of squared pyramid is
According to the question, we have
Volume of cube = volume of squared pyramid
Therefore, the height of squared pyramid is unit.
To learn more about squared pyramid from the given link
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