Decompose each velocity in its i and j - coordinates.
1) River's velocity
3.5 m/s, west fo east = 3.5i + 0j
2) Luke's velocity
5m/s, 60° east of north
5* sin(60°) i + 5*cos(60°) j = 4.33 i + 2.5 j
3) Resultant velocity
[3.5i + 0j] + [4.33i + 2.5j] = 7.83i + 2.5j
resultant speed = √[ (7.83)^2 + (2.5)^2 ] = 8.22 m/s
angle = arctan(2.5 / 7.83) = 17.7° north of east (equal to 72.3° east of north).
Answer:
Alex is wrong in calculating his dive distance Actual Dive distance is 30 feet.
Step-by-step explanation:
Given:
Distance from where he dive from = 15 feet
Distance he reached after dive = 15 feet
Also Given:
Alex says that the two distances are opposites,
Also Total distance of dive according to Alex = 15 +-15 =0 feet
Solution:
We know that the diving board is 15 feet above the water level, but here it is important to know that even he is above the surface of the water he is diving in the water and then he reached 15 deep in the water.
From above scenario we can say that the two distances are in the same direction.
Total Distance of dive will be = 15 +15 =30 feet.
Hence We can say that Alex is wrong in calculating his dive distance Actual Dive distance is 30 feet.
Answer:
Lateral area =
pi * (radius) * √ [ height ^2 + radius^2 ] =
pi * ( 4 ) * √ [ 4^2 + 3^2 ] =
pi * ( 4 ) * √25 =
pi * ( 4 ) * (5 ) =
20 pi units^2 ≈ 62.8 units^2
Step-by-step explanation:
Step-by-step explanation:
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Add up all the values shown:
64+28+52+56 = 200
This result indicates that there are 200 students total.
Of these 200 total people, there are 28 who are attending both colleges. This is the value shown in the overlapping region of the two circles.
Divide the two values (28 and 200) to get...
28/200 = 0.14 = 14%
The probability as a decimal value is 0.14 which is saying there's a 14% chance of picking someone who goes to both colleges.
