Answer:
<h2>84, 42</h2>Step-by-step explanation:
We have to use proofs
1 answer:
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Answer: see explanation
Step-by-step explanation:
so you have a plane at constant altitudeof 6km (6000m) flying at 800 km/h (222.222 m/s) (see the image)
the plane is moving with constant speed therefore x(t) = 222.222*t => no forces are interacting horizontally with the plane therefore acceleration is 0, then v is constant and x(t) is a linear function which coefficient is v.
now we have a triangle with an angle theta, one side is x(t), and the other is 6000m. we can get theta by tan(theta) = 6000/(222.222*t). 24 minutes are 1440 seconds so if we replace such value, we get the theta angle by solving for theta => theta = arctan(6000/(222.222*1440)) = 0.019 radians or 1.074 degrees. Now if you want to know the exchange rate of theta we have to differentiate the expression with respect to t:
then replace t with 1440 and you will get that theta is changing by -0.000013 (1.3E-5) radians or -7.458E-4 degrees every second which has a lot of sense since the plane is getting out of your line of sight due to the earth's curvature
Answer:
Team's rowing speed in still water: 11.8 miles per hour.
Speed of the current: 3.4 miles per hour.
Step-by-step explanation:
Let r represent team's rowing speed in still water and speed of current be c.
Rowing speed with current would be and rowing speed against current would be
.
We have been given that a rowing team rowed an average of 15.2 miles per hour with the current. We can represent this information in an equation as:
We are also told that rowing team rowed an average of 8.4 miles per hour against the current. We can represent this information in an equation as:
Upon adding equation (1) and (2), we will get:
Therefore, teams's rowing speed in still water was 11.8 miles per hour.
Upon substituting in equation (1), we will get:
Therefore, speed of the current was 3.4 miles per hour.