Write the equation in standard form. Then factor the left side of the equation.
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Refer to the diagram shown below.
Let the coordinates of the rotated vector be (a,b).
From the Pythagorean theorem,
d = √(5² + 7²) = 8.6023
The angle θ is given by
tan θ = 7/5 = 1.4
θ = tan⁻¹ 1.4 = 54.46°
φ = 180 - (90 + 54.46) = 35.54°
The coordinates of the rotated vector are
a = - d cos φ = - 8.6023*cos(35.54) = 7
b = d sin φ = 8.6023*sin(35.54) = 5
Answer: (-7, 5)
Let the coordinates of the rotated vector be (a,b).
From the Pythagorean theorem,
d = √(5² + 7²) = 8.6023
The angle θ is given by
tan θ = 7/5 = 1.4
θ = tan⁻¹ 1.4 = 54.46°
φ = 180 - (90 + 54.46) = 35.54°
The coordinates of the rotated vector are
a = - d cos φ = - 8.6023*cos(35.54) = 7
b = d sin φ = 8.6023*sin(35.54) = 5
Answer: (-7, 5)
Answer:
See explanation
Step-by-step explanation:
<em>The question is incomplete, as the required figure is not attached to the question.</em>
<em>From the question, we can deduce that the telescope is a composite figure made from a cone and a cylinder.</em>
<em>To get the volume of the materials used, you have to calculate the volume of the cone and that of the cylinder.</em>
<em>The sum of these volumes, is your answer.</em>
<em />
Assume the following dimensions:
Cone
--- radius
--- height
Cylinder
--- radius
--- height
The volume of the cone is:
The volume of the cylinder is:
The total is:
Take LCM