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Digiron [165]
3 years ago
5

Find an equation of the tangent line to y = 2 sin x at x = _/6

Mathematics
1 answer:
lys-0071 [83]3 years ago
5 0
Y o = 2 sin ( π/6 ) = 2 * 1/2 = 1
x o = π / 6
y ` = 2 cos x = 2 cos (π/6) = 2 * √3 / 2 = √ 3;
m = √3
An equation of the tangent line is:
y - y o = m ( x - x o )
Answer:
y - 1 = √3 ( x - π/6 )
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Numbers 4,5,6 !! Please help
aleksandrvk [35]

Answer:

4) VW= 23

5) VW= 12

6) VW= 75

Step-by-step explanation:

4)

VU= 31

WU= 8

subtract 8 from 31

VW= 23

5)

UW= 18

UV= 6

subtract 6 from 18

VW= 12

6)

UV= 30

WU=45

add 30 and 45

VW= 75

7 0
3 years ago
he Statue of Liberty is approximately 305 feet tall. If the angle of elevation of a ship to the top of the statue is 22.9 degree
Andru [333]

Answer:

is at a distance of 722 feet

Step-by-step explanation:

we have the angle that forms between the water and the imaginary line between the ship and the tip of the statue

we have the statue height that would be the opposite leg to our angle and we want to know the distance of the ship to the statue that would be the adjacent leg

we see that it has (angle, adjacent, opposite)

well to start we have to know the relationship between angles, legas and the hypotenuse

a: adjacent

o: opposite

h: hypotenuse

sin α = o/h

cos α= a/h

tan α = o/a

it's the tangent

tan α = o/a

we replace the values ​​and solve

tan α = o/a

tan 22.9 = 305/a

a = 305/tan22.9

a = 305/0.4224

a = 722

is at a distance of 722 feet

7 0
3 years ago
Read 2 more answers
Write the wod sentence as an equations. you don't need to solve it.
Aleksandr-060686 [28]

Answer:

b-5=16

Step-by-step explanation:

well, it says 5 is LESS THAN b so we do b minus 5 than it says is 16 and is means equal so we do b minus 5 equals 16.  super easy once you get the hang of it.

3 0
3 years ago
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What is the median value of the data set shown on the line plot? Enter your answer in the box.
frozen [14]
1/2 of 14 is 7 so 7th x plus 8th x = 30+30 / 2 = the median is 30
3 0
3 years ago
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A wind turbine is located at the top of a hill where the wind blows steadily at 12 m/s, and stands 37 m tall. The air then exits
marta [7]

Answer:

Power generated = 4.315 kW

Step-by-step explanation:

Given,

  • speed of wind when enters into the turbine, V = 12 m/s
  • speed of wind when exits from the turbine, U = 9 m/s
  • mass flow rate of the wind, m = 137 kg/s

According to the law of conservation of energy

Energy generated = change in kinetic energy

Since, the air is exiting at same elevation. So, we will consider only kinetic energy.

Energy generated in one second will be given by,

E\ =\ \dfrac{1}{2}.mV^2-\dfrac{1}{2}.m.U^2

   =\ \dfrac{1}{2}\times 137\times (12)^2-\dfrac{1}{2}\times 137\times (9)^2

   =4315.5 J

   = 4.315 kJ

So, energy is generated in one second = 4.315 kJ

Power generated can be given by,

P\ =\ \dfrac{\textrm{energy generated}}{time}

And the energy is generated is already in per second so power generated will be 4.315 kW.

   

   

   

   

   

8 0
3 years ago
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