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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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schepotkina [342]

Answer:

Let the marked price be x

Discount % = 10%

Discount = 10\% \times x = 0.1x10%×x=0.1x

Cost after discount = x-0.1x = 0.9x

10%vat is charged on it

Cost including VAT = 0.9x+0.1(0.9x)=0.99x0.9x+0.1(0.9x)=0.99x

We are given that  it's price became rs 1672

So, 0.99x = 1672

x=\frac{1672}{0.99}x=0.991672

x=1688.88

Discount = 0.1x=0.1(1688.88)=168.888

Hence The discount

7 0
3 years ago
What’s the probability of getting each card out of a deck?
VMariaS [17]

Answer:

a. 1/13

b. 1/52

c. 2/13

d. 1/2

e. 15/26

f. 17/52

g. 1/2

Step-by-step explanation:

a. In a deck of cards, there are 4 suits and each of them has a 7. Therefore, the probability of drawing a 7 is:

P(7) = 4/52 = 1/13

b. There is only one 6 of clubs, therefore, the probability of drawing a 6 of clubs is:

P(6 of clubs) = 1/52

c. There 4 fives (one for each suit) and 4 queens in a deck of cards. Therefore, the probability of drawing a five or a queen​​​​​​​​​​​ is:

P(5 or Q) = P(5) + P(Q)

= 4/52 + 4/52

= 1/13 + 1/13

P(5 or Q) = 2/13

d. There are 2 suits that are black. Each suit has 13 cards. Therefore, there are 26 black cards. The probability of drawing a black card is:

P(B) = 26/52 = 1/2

e. There are 2 suits that are red. Each suit has 13 cards. Therefore, there are 26 red cards. There are 4 jacks. Therefore:

P(R or J) = P(R) + P(J)

= 26/52 + 4/52

= 30/52

P(R or J) = 15/26

f. There are 13 cards in clubs suit and there are 4 aces, therefore:

P(C or A) = P(C) + P(A)

= 13/52 + 4/52

P(C or A) = 17/52

g. There are 13 cards in the diamonds suit and there are 13 in the spades suit, therefore:

P(D or S) = P(D) + P(S)

= 13/52 + 13/52

= 26/52

P(D or S) = 1/2

6 0
3 years ago
. What is the solution to the equation –3.5(x + 12) = –2x + 18?
kotegsom [21]

Answer:

x=-4.36

     

Step-by-step explanation:

4 0
3 years ago
What is true for f(x)=bx​
kozerog [31]

Answer:

f'(x) = b

Step-by-step explanation:

f(x) = bx

f' (x) = d/dx (bx)

using d/dx ( a * x ) = a

f' (x) = b <-- solution.

4 0
3 years ago
I need help please please
xxTIMURxx [149]

Answer:

reflection then transition

Step-by-step explanation:

because ummm for it to get to one it is reflected then to get to 3 it is transitioned

8 0
3 years ago
Read 2 more answers
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