The dot plot shows the height, in feet, of a group of trees being studied. How many trees are being studied? Enter the answer in
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Answer:
The distance between the hands is √(3)cm ≈ 1.73cm.
Step-by-step explanation:
In a standard clock, the angle between every number is 30°, therefore the angle between 12 and 2 will be 30° x 2 = 60°.
Looking at the diagram, to find c we can make use of our cosine formula
c² = a² + b² –2abCos(C°)
a = 2, b = 1 and C° = 60°
Therefore we have:
c² = 2² + 1² –2 x 2 x 1 x cos(60°) =
c² = 4 + 1 – 4 x 0.5 =
c² = 5 – 2 =
c² = 3
c = √(3) ≈ 1.73
Therefore, the distance between the hands is √(3)cm ≈ 1.73cm.
Answer:
AM = 25, AC = 15, CM = 20
Step-by-step explanation:
The given parameters are;
In ΔACM, ∠C = 90°, ⊥
, AP = 9, and PM = 16
² +
² =
²
=
+ PM = 9 + 16 = 25
= 25
² =
² +
² = 9² +
²
∴ ² = 9² +
²
Similarly we get;
² = 16² +
²
Therefore, we get;
² +
² = 9² +
² + 16² +
² =
² = 25²
2·² = 25² - (9² + 16²) = 288
² = 288/2 = 144
= √144 = 12
From ² = 9² +
², we get
= √(9² + 12²) = 15
= 15
From, ² = 16² +
², we get;
= √(16² + 12²) = 20
= 20.
Answer: