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Ratling [72]
3 years ago
12

A boat sails for 5 hours at 30 mph in a direction 164°56'. How far south has it sailed (to the nearest mile)?

Mathematics
1 answer:
Valentin [98]3 years ago
5 0
Total distance covered = 5 x 30 = 150 miles
Angle of travel with respect to south pole = 180 - 164°56' = 15°4'

Let the distance southwards covered be x, then
cos 15°4' = x/150
Thus, x = 150 cos 15°4' = 144.84

Therefore, the distance covered southwards = 145 miles to the nearest mile.
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rusak2 [61]

Answer:

7 Hours 12 Minutes

Step-by-step explanation:

So they one of the printer increases at a rate of 1/12 and the other increases at a rate of 1/18. Since you don't know the time it actually takes, you will replace both numerators with and x. (x/12 and x/18). You want to set these up so that they are adding. (x/12 + x/18=1). Since you're adding, you want to change it to the same denominator. The lowest is 36 so you multiply x/12 by 3/3 (so you don't unbalance the equation) and x/18 by 2/2. You'll end up with 3x/36 + 2x/36= 1 which will simplify to 5x/36=1. Multiply each side by 36 to leave the variable by itself. It becomes 5x=36 and when you divide it by 5 you get 7.2. So it's seven and .2 hours, which is equivalent to7 and 1/5 of an hour or 7 hours and 12 minutes.

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3 years ago
Can someone help me with this math problem
san4es73 [151]
30 is the answer
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3 years ago
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I also really need help with this question! <br> g(x)=2x - 3<br> h(x)=2x + 4<br> Find (g/h)(x)
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3 0
3 years ago
An object weighs 1 pound on earth weighs about 1/15 pounds on Pluto. If a man weighs 240 pounds on earth how many pounds would h
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7 0
3 years ago
The surface area of a sphere is 576pi square units. Which choice represents the volume of the sphere?
Leona [35]

Answer:

\large\boxed{V=2304\pi}

Step-by-step explanation:

The formula of a surface area of a sphere:

S.A.=4\pi R^2

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We have

S.A.=576\pi

Substitute and solve for R:

4\pi R^2=576\pi         <em>divide both sides by π</em>

4R^2=576          <em>divide both sides by 4</em>

R^2=144\to R=\sqrt{144}\\\\R=12

The formula of a volume of a sphere:

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Substitute:

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3 0
3 years ago
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