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Keith_Richards [23]
3 years ago
15

This table shows values that represent an exponential function.

Mathematics
1 answer:
Sati [7]3 years ago
3 0

Answer:

y=21

Step-by-step explanation:

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An airplane pilot can see the top of a traffic control tower at a 20 degree angle of depression. the airplane is 5,000 feet away
daser333 [38]

The given question describes a right triangle with with one of the angles as 20 degrees and the side adjacent to the angle 20 degrees is of length 5,000 feet. We are looking for the length of the side opposite the angle 20 degrees.

Let the required length be x, then

\tan{20^o}=\cfrac{opp}{hyp}=\cfrac{x}{5,000}\\ \\ \Rightarrow x=5,000\tan{20^o}=1,819.85

Therefore, the height of the airplane above the tower is 1,819.85 feet.

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3 years ago
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Will give BRAINLEST :)
DiKsa [7]

Answer:

A

Step-by-step explanation:

This explanation mostly depends on what you're learning right now. The first way would be to convert this matrix to a system of equations like this.

g + t + k = 90

g + 2t - k = 55

-g - t + 3k = 30

Then you solve using normal methods of substitution or elimination. It seems to me that elimination is the quickest method.

g + t + k = 90

-g - t + 3k = 30

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0 + 0 + 4k = 120

4k = 120

k = 30

No you can plug this into the first two equations

g + t + (30) = 90

g + t = 60

and

g + 2t - (30) = 55

g + 2t = 85

now use elimination again by multiplying the first equation by -1

g + 2t = 85

-g - t = -60

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0 + t = 25

t = 25

Now plug those both back into one of the equations. I'll just do the first one.

g + (25) + (30) = 90

g = 35

Therefore, we know that Ted spent the least amount of time on the computer.

The second method is using matrix reduction and getting the matrix in the row echelon form, therefore solving using the gauss jordan method. If you would like me to go through this instead, please leave a comment.

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3 years ago
Rudy has 10 white she sells 23 pink seashells and 21 Brown see cells if he divides the cells into equally between three friends
Alex_Xolod [135]

Answer:

Each friend will get 18 sea shells.

Step-by-step explanation:

Given:

Rudy has white sea shells = 10

Rudy has pink sea shells = 23

Rudy has brown sea shells = 21

Number of friends = 3

Rudy divides the sea shells into equally between three friends.

We need to find how many sea shells each friend can get.

Now first we find the total number sea shells.

Total number of sea shells = white sea shells + pink sea shells + brown sea shells = 10 + 23 + 21 = 54

Now to find number of sea shell each friend can get we will divide total number of sea shell with number of friends.

number of sea shell each friend can get = \frac{\textrm{Total number of sea shells}}{\textrm{ Number of friends}} = \frac{54}{3}=18

Hence each friend will get 18 sea shells.

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