in the diagram below which is not drawn to scale a b is perpendicular to a d if the measurement of CAD is three times measuremen
t of BAC determine the measurement of CAD
1 answer:
Answer:
67.5°
Step-by-step explanation:
From the diagram attached, it can be seen that <BAD = 90° (right angled). Also <BAD = <CAD + <BAC
From the question, we are told that the measurement of CAD is three times measurement of BAC, this means <CAD = 3<BAC
substituting this condition into the formula above:
<BAD = 3<BAC + <BAC
<BAD = 4<BAC
4<BAC = 90
<BAC = 90/4
<BAC = 22.5°
Next is to get <CAD:
<CAD = 3<BAC
<CAD = 3(22.5)
<CAD = 67.5°
Hence the measurement of <CAD is 67.5°
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Answer:
Option (1)
Step-by-step explanation:
In a geometric series,
Here r =
For |r| < 1, series will converge.
For |r| > 1, series will diverge.
Option (1)
Given geometric series is,
Common ratio =
=
Since,
Series will converge.
Option (2)
r =
Since, 2 > 1,
Series will diverge.
Option (3)
Common ratio 'r' =
Since, 3 > 1,
Series will diverge.
Option (4)
Common ratio 'r' =
Since, 6 > 1
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Therefore, Option (1) will be the correct option.
There must be minus sign with 4.9 .
The given equation is the equation of parabola , which is maximum at its vertex, and the formula of vertex is
So the height is maximum at t=2.55 seconds and to find the maximum height , we need to plug 2.55 for t , that is
So the maximum height is 112 m .