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Vikentia [17]
3 years ago
9

An incoming airplane is x miles due north from the control tower at an airport. A second incoming airplane is y miles due east o

f the same control tower. The shortest distance between the two airplanes is z miles.
Which of the following functions would best model the situation above?
A.
cube root
B.
square root
C.
piecewise
D.
step

Mathematics
2 answers:
anzhelika [568]3 years ago
7 0

Answer:

Option B. square root

Step-by-step explanation:

An incoming airplane is x miles due North at A from the control tower and a second airplane is y miles East at B of the same control tower.

The shortest distance between the two airplanes is z miles.

By Pythagoras Theorem

z² = x² + y²

z = √(x² + y²)

So function which models the situation best is "square root".

Therefore, option B. square root is the answer.

MAVERICK [17]3 years ago
5 0

Answer:

B. Square root

Step-by-step explanation:

using distance formula:

x = √z^2 - y^2

y = √z^2 - x^2

=> z = √x^2 + y^2

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All times. The numbers you are dividing with are quotients.

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3 years ago
Trigonometric identities assignment 4
kykrilka [37]

Answer:

<em>Answer: choice D.</em>

Step-by-step explanation:

<u>Trigonometric Functions</u>

We need to recall some properties and definitions of the trigonometric functions.

\displaystyle \tan \theta=\frac{\sin\theta}{\cos\theta}

\displaystyle \sec \theta=\frac{1}{\cos\theta}

We need to simplify the following expression:

5\sin\theta\sec\theta

Substituting the identity for the secant:

\displaystyle 5\sin\theta\sec\theta=5\sin\theta.\frac{1}{\cos\theta}

Operating:

\displaystyle 5\sin\theta\sec\theta=5\frac{\sin\theta}{\cos\theta}

Substituting the definition of the tangent:

\displaystyle 5\sin\theta\sec\theta=5\tan\theta

Correct choice D.

6 0
3 years ago
If y varies directly as the square of x and y = 12 when x = 2 find the value of x when y = 108
dolphi86 [110]
108/12 = 9 so when y = 108 x = 9×2 which = 18 so when y =108 x = 18
8 0
3 years ago
Find the miing value in the ratio table. Then write the equivalent ratio. Plum 14 42 Grape 7 3 24 The equivalent ratio are 14 :
denis-greek [22]

The equivalent ratio is 8 : 4.

And the missing values are as follows 21, 6 and 48.

Complete table be,

Plum     14   42   6   48

Grape    7    21    3    24

Given, a ratio table

Plum     14   42   __   __

Grape    7    __    3    24

we have to find the missing values and the equivalent ratios.

in the first ratio,

Plum : Grape = 14 : 7 = 2 : 1

Now, in the second ratio,

2 : 1 = 42 : __

x = 21

Now, in the third ratio,

2 : 1 = __ : 3

x = 6

Now, in the forth ratio,

2 : 1 = __ : 24

x = 48

So, the equivalent ratio is 8 : 4.

And the missing values are as follows 21, 6 and 48.

Hence, the equivalent ratio is 8 : 4.

And the missing values are as follows 21, 6 and 48.

Complete table be,

Plum     14   42   6   48

Grape    7    21    3    24

Learn more about Ratios and Proportions here brainly.com/question/26974513

#SPJ4

4 0
1 year ago
Find the distance between the points H and C.<br><br> A) 0 <br> B) 2 <br> C) 4 <br> D) 8
RSB [31]

Answer:

4

Step-by-step explanation:

1.b

2.c

3.d

4.g

6 0
3 years ago
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