A line includes the points (-7, -3) and (10, -6). What is it’s equation in slope-intercept form?
1 answer:
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Answer: The correct option is (C) Packages x 3 = Pens
Step-by-step explanation: Given that each package of pens contains 3 pens.
We are to choose the correct mathematical relation between number of pens and number of packages.
Let, n represents the number of pens and N represents the number of packages.
Then, according to the given information, we have
Thus, the correct relation is
Packages x 3 = Pens.
Option (C) is CORRECT.
Answer:
The angle between [A_F] and the base of the cone = 68.2°
The area of the base of the cone ≈ 12.57 m²
Step-by-step explanation:
The given parameters are;
The height of the cone = 5 m
The base radius of the cone = 2 m
The angle which the AC = 120°
Therefore, we have;
The angle between [A_F] and the base of the cone = The angle between [CF] and the base of the cone
The angle between [CF] and the base of the cone = tan⁻¹(5/2) = tan⁻¹(2.5) ≈ 68.2°
∴ The angle between [A_F] and the base of the cone = The angle between [CF] and the base of the cone = 68.2°
The angle between [A_F] and the base of the cone = 68.2°
The area of the base of the cone = π × r² = π × 2² = 4·π ≈ 12.57
The area of the base of the cone ≈ 12.57 m².