A) The cosine rule can be used to find the value of x in the triangle below.
1 answer:
Answer:
see explanation
Step-by-step explanation:
(a)
(the side required )² = sum of squares of other 2 sides - ( 2 × product of other 2 sides and cos(angle opposite side required ) )
x² = 12² + 15² - (2 × 12 × 15 × cos71°)
(b)
x² = 144 + 225 - 360cos71°
= 369 - 360cos71° ( take square root of both sides )
x =
≈ 16 cm ( to the nearest integer )
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Answer: (b) exactly one plane contains a given line and a point not on the line.
Step-by-step explanation: The basic postulates of geometry are very-well known to all of us. For example-
(i) The intersection of two lines determines a point,
(ii) Two parallel lines give result to a plane,
(iii) A line and a point not on the line determines a plane, etc...
Thus, with the help of the third point, we can easily arrive at the conclusion that a given line and a point not lying on the line is contained in a plane. For example- see the attached figure, AB is a line and P is any point not on the line. They both contained in the plane ABC.
Hence, the correct option is (b).
Answer:
Approximately 9 units.
Step-by-step explanation:
To find the distance between two ordered pairs, we can use the distance formula. The distance formula is:
Let (2,-3) be x₁ and y₁ respectively, and let (-4,4) be x₂ and y₂, respectively.
To solve the equation:
Therefore, the answer is u=19.
Hope it helps!
Therefore, the answer is u=19.
Hope it helps!