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antoniya [11.8K]
3 years ago
14

A commercial airplane travels 5,000 feet east and then ascends 3,000 feet from its starting point in the sky. Upon noticing a se

vere storm system on the horizon, the pilot decides to return to the starting point. A) how much distance does the plane have to travel to turn back? B) at what angle would the plane need to travel to return to its starting point. (1,000 feet = 1 unit)
Mathematics
1 answer:
svp [43]3 years ago
8 0

Answer:

A) 5830.95 B)59.04

Step-by-step explanation:

Solve for the hypotenuse of 5,000 and 3,000

Use tangent to find the angle

tanx = 5,000/3,000

x=59.04

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Dimas [21]
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3 years ago
Which graph shows the image of the triangle reflected across the line of reflection shown?
olga55 [171]

Answer:

D .points (2,2) (4,4) (0,9)

Step-by-step explanation:

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3 years ago
Question is on picture attached
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8 0
3 years ago
Write a function to represent the set of ordered pairs.
77julia77 [94]

Answer:

Option C   f (x) = x^ 2 - 2

Step-by-step explanation:

Note that the relation describing the set of ordered pairs does not change at a costing rate

y_2 -y_1 = 7-2 = 5\\\\y_3 -y_2 = 14- 7 = 7\\\\y_4 - y_3 = 23- 14 = 9

Therefore the relationship is not linear.

However, the exchange rate y_n- y_{n-1} increases by a factor of 2 units when n increases 1 unit. This allows us to conclude that the relationship is quadratic

Note that the following ordered pairs belong to the function

y = x ^ 2

A = {(2, 4), (3, 9), (4, 16), (5, 25)}

The set of ordered pairs that we have is:

B = {(2, 2), (3, 7), (4, 16), (5, 23)}

Note that there is a similarity between both sets of ordered pairs.

In set B the values of y are always 2 units less than the values in y of the set A.

Then we deduce that since the function that models the set A is y = x ^ 2 then the function that contains the ordered pairs of the B set is:

y = x ^ 2 -2

The correct option is option C) f (x) = x^ 2 - 2

8 0
3 years ago
Compare the values of each 3 in the number 633,248
ipn [44]
633,248.
The difference of each 3 is that they have different place values.
The 3 on the right side is int he 1000s (thousands) place, and the 3 on the left is in the 10,000s (ten thousands) place. :) 

The one in the 10,000s place is 10 times larger than the one in the 1,000s place!
6 0
3 years ago
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