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Semenov [28]
3 years ago
9

a man in a boat rowing from light house whose height is 200 meter.he takes 2minutes to change the angle of elevation top of ligh

t house from 60⁰ and 45⁰ find speed of boat​
Mathematics
1 answer:
marshall27 [118]3 years ago
4 0

Answer:

The speed of the boat is approximately 0.704 m/s

Step-by-step explanation:

The time it takes the man in the boat to change the angle of elevation from 60° to 45°, t = 2 minutes = 120 seconds

The height of the light house = 200 m

Given that the angle of elevation is reducing, the direction of the man is away from the lighthouse

The initial distance of the man in the boat from the lighthouse = 200 m/(tan(60°)) = (200/√3) m

The final distance of the man in the boat from the lighthouse = 200 m/(tan(45°)) = 200 m

The distance traveled in 2 minutes, d = 200 m - (200/√3) m ≈ 84.53 m

The speed of the boat, v = d/t

∴ v = 84.53 m/(2 min × 60 s/min) ≈ 0.704 m/s

The speed of the boat, v ≈ 0.704 m/s.

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To answer this you will need to write the ratio of difference in the tides over the amount of time that goes by.

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4 0
3 years ago
________ is the process of associating numerical amounts to the reported in financial statements.
Len [333]

Answer:

Measurement

Step-by-step explanation:

In accounting and finance, measurement is when you assign, through computation, a numerical amount, be it money, hours, or other units to a piece of data. In accounting, measurement usually associates the mayority of the data represented in terms of money.

7 0
3 years ago
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SSSSS [86.1K]

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5 0
3 years ago
Find how many six-digit numbers can be formed from the digits 2, 3, 4, 5, 6 and 7 (with repetitions), if:
Goshia [24]

Answer:

case 1 = 2592

case 2 =  729

case 1 + case 2 =  2916

(this is not a direct adition, because case 1 and case 2 have some shared elements)

Step-by-step explanation:

Case 1)

6 digits numbers that can be divided by 25.

For the first four positions, we can use any of the 6 given numbers.

For the last two positions, we have that the only numbers that can be divided by 25 are numbers that end in 25, 50, 75 or 100.

The only two that we can create with the numbers given are 25 and 75.

So for the fifth position we have 2 options, 2 or 7,

and for the last position we have only one option, 5.

Then the total number of combinations is:

C = 6*6*6*6*2*1 = 2592

case 2)

The even numbers are 2,4 and 6

the odd numbers are 3, 5 and 7.

For the even positions we can only use odd numbers, we have 3 even positions and 3 odd numbers, so the combinations are:

3*3*3

For the odd positions we can only use even numbers, we have 3 even numbers, so the number of combinations is:

3*3*3

we can put those two togheter and get that the total number of combinations is:

C = 3*3*3*3*3*3 = 3^6 = 729

If we want to calculate the combinations togheter, we need to discard the cases where we use 2 in the fourth position and 5 in the sixt position (because those numbers are already counted in case 1) so we have 2 numbers for the fifth position and 2 numbers for the sixt position

Then the number of combinations is

C = 3*3*3*3*2*2 = 324

Case 1 + case 2 = 324 + 2592 = 2916

4 0
3 years ago
Can someone help me find the volume please
umka2103 [35]

Answer:

See below.

Step-by-step explanation:

The figure is a cone. The formula for the volume of a cone is:

V=\frac{1}{3}\pi r^2h

The radius is 4.8 and the height is 2.9. Substitute:

V=\frac{1}{3}\pi (4.8)^2(2.9)

Use a calculator:

V\approx69.97\text{ km}^3

And we're done!

5 0
3 years ago
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