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xz_007 [3.2K]
1 year ago
7

An airplane is flying at 4000 feet above the ground. If the angle of depression from the airplane to the beginning of the runway

is 5.4°, what is the horizontal distance to the nearest tenth of a mile of the airplane to the beginning of the runway?
Mathematics
1 answer:
Art [367]1 year ago
8 0

Answer:

42315.6

Step-by-step explanation:

Let the horizontal distance be x.

\tan 5.4^{\circ}=\frac{4000}{x} \\ \\ x=\frac{4000}{\tan 5.4^{\circ}} \\ \\ x \approx 42315.6

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Whats the slope of the line?
TiliK225 [7]

Answer:

m = rise/run = 4/5.

Step-by-step explanation:

This line goes throught the "exact" grid intersections (-2, 0) and (3, 4).  As we move from the first point to the second, we see that x increases by 5 (this is the 'run') and y increases by 4 (this is the 'rise').  Thus, the slope of this line is m = rise/run = 4/5.

6 0
3 years ago
Is one and one and a half hours more than 100 minutes or less than or equal to.
slavikrds [6]

Answer:

more than

Step-by-step explanation: less than because 60 + 90 = 150 and you said 1 hour plus 1 hour and a half so your answer is more than because 150 is more than 100

6 0
3 years ago
Item 8
ludmilkaskok [199]
So, I didn't quite understand your question clearly, but I'll try my best to answer it.

So, the first question is quite simple: Did the runner have a % decrease in his time or an increase.
Well, 7:45 is minor than 5:51. So, his time decreased.

2nd question:
The percent of change. Well, first things first 7:45 has 2 different units, wich are minutes and seconds, I suppose. Same goes for 5:51.
So let's put everything in seconds. multiply both the 7 and 5 for 60(for every minute has 60 seconds.)

That means:
7*60= 420+45 = 465.
5*60=300+51=351.

Now, let's do the math itself:
465 -> 100%
351 -> x%
 Is equal to about  75,5%
How much did it decrease then?
(75,5-100)%= 24,5%, approximately

8 0
3 years ago
Find the difference.<br> 6 - (-3) =
Anna71 [15]

Answer:

9

Step-by-step explanation:

when 2 negative signs meet or be multiplied the sign became "+" instead of "- -".

4 0
3 years ago
Solve for x in the equation C = 8.5x + 6y. Show all work.
GarryVolchara [31]
C = 8.5x + 6y

Rearrange the equation by making the side with x, be on the Left Hand Side (LHS)

8.5x + 6y = C

Subtract 6y from both sides of the equation

8.5x + 6y - 6y = C - 6y

8.5x = C - 6y

Divide both sides of the equation by 8.5

(8.5x/8.5) = (C - 6y)/8.5

x =  (C - 6y)/8.5

I hope this helped.
7 0
3 years ago
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