A shark is swimming 42 feet below sea level. If the angle of depression from a boat on the water to the shark is 23°, what is the horizontal distance between the boat and the shark? Show your work to receive full credit. Round to the nearest hundredth if necessary. ​

Answer:

 {x,y} = {3/7,-43/7}

Step-by-step explanation:

System of Linear Equations entered :

  [1]    x + 3y = -18

  [2]    -x + 4y = -25

Graphic Representation of the Equations :

   3y + x = -18        4y - x = -25  

Solve by Substitution :

// Solve equation [1] for the variable  x  

 [1]    x = -3y - 18

// Plug this in for variable  x  in equation [2]

  [2]    -(-3y-18) + 4y = -25

  [2]    7y = -43

// Solve equation [2] for the variable  y  

  [2]    7y = - 43  

  [2]    y = - 43/7  

// By now we know this much :

   x = -3y-18

   y = -43/7

// Use the  y  value to solve for  x  

   x = -3(-43/7)-18 = 3/7  

Solution :

{x,y} = {3/7,-43/7}

Answer:

d 5 tan theta

Step-by-step explanation:

5 sin theta x 1/cos theta

5 (sin theta/cos theta)

5 tan theta

Answer:

A store receives a shipment of 5,000 MP3 players. In a previous shipment of 5,000 MP3 players, 300 were defective. A store clerk generates random numbers to simulate a random sample of this shipment. The clerk lets the numbers 1 through 300 represent defective MP3 players, and the numbers 301 through 5,000 represent working MP3 players. The results are given.

948 628 87 4,987 938 468 3,589 298 2,459 2,286

Based on this sample, how many of the MP3 players might the clerk predict would be defective?

The manager would expect

defective players in the shipment.

Option:-

a) f(x) = 4^x is applicable

b) f(x) ={ (1/4)^-x = 4^x }is applicable

c.) f(x) = (2/3)^x is not applicable

d.) f(x) = (2.3)^x is applicable

e.) f(x) = (.8)^x is not applicable

Options (a), (b) and (d) are exponential growth functions.

An exponential decay is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier which is less than 1.

By the Exponential decay form,

An exponential decay is in the form: y = abˣ

(a) f (x)=4ˣ is applicable as 4>1

(b) f (x)=(1/4)⁻ˣ is applicable as (1/4)-1=4>1

(c)  f (x)=(2/3)ˣ is not applicable because 2/3<1

d) f (x)= (2.3)ˣ is applicable as 2.3>1

e) f (x)=(.8)ˣ is not applicable, 0.8<1.

So options (a), (b) and (d) are applicable for exponential growth functions.

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Step-by-step explanation:

3. Between √9 and √16 or 3 nd 4

5. D

6. 7cubic inches

7. 8/45

8. 0.5 m

9. 4/25

Answer:

37% = 0.37 = 37/100

Step-by-step explanation:

hope this helps :)

Answer:

7, √58, 8

Step-by-step explanation:

7 x 7 = 49

8 X 8 = 64

49, 58, 64

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Mathematics.

Applying the simple squares of 7 and 8.

7*7= 49 and 8*8=64

hence square root 58 is more than 7 but less than 8

hence we get as,

[tex]7 < \sqrt{58 } < 8[/tex]

Answer:

DO NOT CARE

Step-by-step explanation:

Answer:

b=-5

Step-by-step explanation:

Divide by -9 to eliminate the -9 on -9b

(Since -9b is the same thing as -9 times b we can use the inverse of multiplication which is division to eliminate the -9 from b but we need to do it on both sides to make it balance)

-9b/-9=45/-9

b=-5

Answer:

3/10a^15b^7c^4

Step-by-step explanation:

sorry its kinna hard to explain

Answer:

$385

Step-by-step explanation:

7x$40=280

3x$35=105

280+105=385

Answer:

$385

Step-by-step explanation:

If for the first seven days Joe has to pay $40, you would multiply that number by seven to get $280. However, he had the car for 3 extra days so you would multiply the additional cost of $35 per day by 3 to get $105. After that all you have to do is add $280+$105 to get a total of $385.

4,610 divided by 16 is 288.125

Work:

Answer:

B = 114

Step-by-step explanation:

and i answered first

Answer:

b = 6

Step-by-step explanation:

Let's solve for b.

(3x−1)2=9x2−bx+1

Step 1: Flip the equation.

−bx+9x2+1=9x2−6x+1

Step 2: Add -9x^2 to both sides.

−bx+9x2+1+−9x2=9x2−6x+1+−9x2

−bx+1=−6x+1

Step 3: Add -1 to both sides.

−bx+1+−1=−6x+1+−1

−bx=−6x

Step 4: Divide both sides by -x.

b = 6

Hope this helpss!!!

Answer: I don’t know sorry

Answer:

find the cordinates of each letter or number then find witch is greater or less than when your answering it

Step-by-step explanation:

Given:

An hour before showtime only 105 people have arrived for a concert.

According to sales 95% of the people have yet to arrive.

To find:

The total number of tickets sold.

Solution:

Let x be the total number of tickets sold.

According to sales 95% of the people have yet to arrive.

[tex]100\%-95\%=5\%[/tex]

It means, only 5% people have arrived.

[tex]\dfrac{5}{100}x=105[/tex]

[tex]\dfrac{1}{20}x=105[/tex]

[tex]x=105\times 20[/tex]

[tex]x=2100[/tex]

Therefore, the total 2100 tickets were sold.

Answer:

Every electric current produces magnetism. ... Since the compass needle is also a magnet, the magnetic field around the wire attracted and repelled the ends of the compass magnet and caused it to move. You have seen that electricity flowing through a wire can cause a magnet to move. This is called the motor effect

Answer: m+8 =

Step-by-step explanation:

Answer:

Step-by-step explanation:

It's with c or d I am confused with those two

Answer:

787.5

Step-by-step explanation:

23×14=322

A=a+b /2h=15+34 /2·19=465.5

322+465.5=787.5

Answer:

what is the rest of the question?

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

subtract 3

input and output always input should be your first one.

So, 6-3=3  7-3=4  8-3=5

9-3=6 10-3=7

Hope this helps u:)

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Answer:

35

Step-by-step explanation:

Please look at the attachment down below.

Hope this helped! :)

The  sum of three number is 35.

A square number is the result when a number has been multiplied by itself.

For example, 25 is a square number because it's 5 lots of 5, or 5 x 5.

Given:

if the number given is 9

9² - (9 - 1)² = 9² - 8²

                 = 81-64

                  = 17.

if the number given is 6.

6² - (6 - 1)² = 6² - 5²

                 = 36-25

                 = 11.

if the number given is 4.

4² - (4 - 1)²= 4² - 3²

                = 16-9

                = 7.

Thus, the sum of three number is

=17 + 11 + 7

= 35

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Answer:

Rotations, Reflections

Step-by-step explanation:

This is going to be our answer because we know that a figure has some kind of rotation.

A rotation is when a shape can be rotated in some way. A reflection is a transformation representing a flip of a figure. Figures may be reflected in a point, a line, or a plane. When reflecting a figure in a line or in a point, the image is congruent to the preimage. A reflection map every point of a figure to an image across a fixed-line.

So our answer would be Rotations, Reflections!

Hope this helps!

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Have a good Day!