10 points
The angle of depression is 30 degrees from the bottom of the boat to a
deep sea diver a the depth of 120 ft. Find the distance x the diver must
swim up to the boat to the nearest foot. (Round, no decimal answers
please). *
x ft
120 ft

Answers

Answer 1

Answer:

x = 240 feet

Step-by-step explanation:

It is given that,

The angle of depression is 30 degrees from the bottom of the boat to a  deep sea diver at the depth of 120 ft.

We need to find the distance x the diver must  swim up to the boat. It can be calculate by applying trigonometry as follows :

[tex]\sin30=\dfrac{120}{x}\\\\x=\dfrac{120}{\sin30}\\\\x=240\ \text{feet}[/tex]

So, the distance the diver must swim up to the boat is 240 feet.

10 PointsThe Angle Of Depression Is 30 Degrees From The Bottom Of The Boat To Adeep Sea Diver A The Depth

Related Questions

Gregory rode his scooter 2 miles in 30 minutes. At this rate, how far would he ride in
45 minutes?

Answers

It would be 3 miles.

dan deposits $4000 into an account that pays simple interest at a rate of 4% per year. how much interest will he be paid in 6 years

Answers

Answer:

$9,600 is what he'll earn in all but the interest that he will earn is $5600

Step-by-step explanation:

To find out the interest earned in all you multiply 4000 times .4 times 6 which is 9600 so if you want to figure out the interest paid it is 9600 - 4000 which is 5600

Solve each system of equations. Equation 1: x+3y=-5 Equation 2: 9x+3y=3

Answers

Answer:

Equation 1: x-3y+5=0

Equation 2: 3x+y-1=0

Step-by-step explanation:

Equation 1: x+3y=-5

                  x+3y+5=-5+5

                  x=3y+5=0

Equation 2: 9x+3y-3=0

                   3x+y-1=0

Carol is going to be away on vacation for a couple of days. She does not know how long she will be gone. Carol, however, knows that $250 will be enough for the caretaker to feed the cats, Rover and Bobo, while she is away.



How many days can the caretaker feed the cats before Carol returns? Explain your reasoning critically.

Answers

Answer:

The answer is "$150".

Step-by-step explanation:

Please find the complete question in the attached file.

In this question first, we include the quantity of food that these cats eat daily.  

[tex]\to \frac{3}{4}= 0.75\\\\\to \frac{1}{2}= 0.5 \\\\ \to 0.75+ 0.5=1.25[/tex]

They are now able to eat the total of meat we consume on a daily basis, that the food we still eat is 1,25 cans each day, and we must have the full 3 cans.  

[tex]\to 1.25 \times 2=2.50[/tex]

2.5 cans and they eat 2.5 cans every 2 years with every other day so we'll have to purchase more meat. So let's go to buy some at our favourite place. 2.5 cans one another day to allow us to give the Bobo leftover .5 a can and open the new Rover can.  

We also left this meal 1.25 cans, so that we can give it to them tomorrow. The feed time would not allow them to purchase food as we have the right quantity of food left. But we went for 6 cans in 4 days. Let's figure out how we're going to divide 60 by 4  =15

So we have 15 times 6 now, because that will provide us with the answer   [tex]\to 15 \times 6=90[/tex]

We finally find out just how much we pay by 90 cans in 60 days so we will find out what it costs us.  

That's the number of cans we get from each purchase and we will divide 90 by 3.  

[tex]\to \frac{90}{3}=30[/tex]

They are going to multiply 30 times 5 now, since that is the sum of money to buy.

[tex]\to 30 \times 5=150[/tex]

sharon pays $78 sales tax on a new camera. If the sales tax rate is 6.5% what was the cost of the camera

Answers

Answer:

83.07

Step-by-step explanation:

If you multiple the original price $78 times the sale tax in decimal form 0.065 you get 5.07, $78 + $5.07 = 83.07.

math need help asap 20 points

Answers

Step-by-step explanation:

Step 1:  List out all of the formulas for the trigonometric functions

sin(x) = opposite/hypotenuse

cos(x) = adjacent/hypotenuse

tan(x) = opposite/adjacent

Step 2:  Find the values for the given numbers

sin(J) = opposite/hypotenuse = 24/25

tan(J) = opposite/adjacent = 24/7

sin(K) = opposite/hypotenuse = 7/25

tan(K) = opposite/adjacent = 7/24

Step 3:  Check if the answers match

24/25 = 24/25 So it is TRUE

24/7 != 7/25 So it is FALSE

7/25 != 24/25 So it is FALSE

7/24 = 7/24 So it is TRUE

Answer: TRUE, FALSE, FALSE, TRUE

De
11/9/2015
00:00
Danielle picks 744 apples at an apple orchard. She divides the apples equally into 40 baskets
Part A
Drag a word to the box to make a true statement
ones
tens
hundreds
When dividing 744 – 40, the first digit of the quotient will be in the
place.
00:00
Part B
How many apples will be in each basket? Enter your answer in the box,
18.6
apples
00:00
Part C
How many apples will be left? Enter your answer in the box.
apples
Back
of 22
Next

Answers

Answer:

Tens

PART B: 18

PART C: 24

Step-by-step explanation:im pretty sure

Larijah is creating a circular board game with a spinner with four regions that players use to determine what happens on their turns.

She wants to meet these requirements:

- Exactly half of the circle should contain the “Lose a Turn” region.

- “Move One Space” should be two times the angle as “Move Two Spaces”.

- “Move Two Spaces” should be four the angle as “Trade Places With Any Opponent”.
Answer choices:
A)14
B)27
c)48
d)66
E)51​

Answers

Answer:

A. 14

Step-by-step explanation:

A circle has 360 degrees. Lose a turn region is half, so 180.   360-180=180

If the answer is A, move two spaces region would be 56 degrees because 14*4=56

56+14=70

Move one space is 2 times move two spaces so 56*2=112

112+70=182

182+180=362

182 is the closest you can get to 180 without having a decimal.

I think it b but ink for sure

Need help asap isnt hard i just dont understand

Answers

Answer:

The answer is b. 35.5

Step-by-step explanation:

angle bisector always bisects an angle in to half amd in the question you have been told to tell the value of one half of the angle abc so the half of 71 would be 35.5

he map shows some geographic features of ancient Egypt.

A map titled Ancient Egypt. It has a scale from 0 to 100 kilometers and 0 to 60 miles. The Mediterranean Sea is at the top of the map. The Nile River flows north through Kush, Upper Egypt, and Lower Egypt. The Nile River Delta is in Lower Egypt next to the Mediterranean Sea. The Red Sea begins south of the Mediterranean Sea.

What does the map demonstrate about the importance of the Nile River to trade in ancient Egypt?

The Nile River allowed ancient Egyptians to export mud bricks across the region.
The Nile River gave ancient Egyptians access to trade opportunities in the Red Sea.
The Nile River allowed the ancient Egyptians to provide for their needs without trade.
The Nile River gave ancient Egyptians access to trade opportunities in the Mediterranean Sea.

Answers

Answer:

i think it is b

Step-by-step explanation:

plz mark brainliest

Answer:

b

Step-by-step explanation:

write the equation of the line in slope-intercept form with slope m=4 through the point (-2,5)

Answers

Answer:

i have no idea\

Step-by-step explanation:

:D:/

please help me!!!!!!!!!!

Answers

The first on is 21 miles . The second is yes . It’s 2 miles closer I believe

Another math question:/

Answers

Answer:

Well to start with, a coefficient is a number that is placed before a variable. In this case we have 10x+8, so the coefficient is well 10.

Step-by-step explanation:

After going through this module, you are expected to:
1. Describe principal roots and tells whether they are rational or irrational
2. Determine between what two integers the square root of a number is.
3. Plot irrational numbers on the number line.
1
Square Root
WEEK
3
6
Count the total number of squares of the
chess board. Prove that it has a total of 204
squares.
D
Recall that a rati

Answers

Answer:

See below

Step-by-step explanation:

Number of squares:

1x1 squares = 8*8 2x2 squares  = 7*73x3 squares  = 6*64x4 squares  = 5*55x5 squares  = 4*46x6 squares  = 3*37x7 squares  = 2*28x8 square  = 1

Total number:

8² + 7² + 6² + 5² + 4² + 3² + 2² + 1 =64 + 49 + 36 + 25 + 16 + 9 + 4 + 1 =204

squares numbers:

1x1 squares = 8*8

2x2 squares  = 7*7

3x3 squares  = 6*6

4x4 squares  = 5*5

5x5 squares  = 4*4

6x6 squares  = 3*3

7x7 squares  = 2*2

8x8 square  = 1

number total:

8² + 7² + 6² + 5² + 4² + 3² + 2² + 1 =

64 + 49 + 36 + 25 + 16 + 9 + 4 + 1 =

204

Brenna needed 8 gallons of gas last week. This week, Brenna ended up needing 50% less. How much gas is that? Please answer quickly.

Answers

Answer:

4

Step-by-step explanation:

Solve the missing tables.

Answers

Answer:

Step-by-step explanation:

1   4(1) + 2   6

3  4(3) + 2   14

6  4(6) + 2   26

0    0 + 3    3

2    2 + 3    5

4    4 + 3   7

1    1 - 1   0

3   3 - 1   2

5   5 - 1   4


Which angle is not supplementary to angle 6?

Answers

Answer:

These two angles (140° and 40°) are Supplementary Angles, because they add up to 180°:

Notice that together they make a straight angle.

supplementary angles 60 and 120

But the angles don't have to be together.

These two are supplementary because

60° + 120° = 180°

Step-by-step explanation:

Help please show your work

Answers

Honestly just use a calculator

HELP ME PLEASEEEEEEE

Answers

Answer:a

Step-by-step explanation:The temperature rose by 80 so up the number line and dropped 20 so down the number line to 60

Answer:

A because there's 2 arrows

A grocery store is making fruit baskets using 144 apples, 108 oranges, and 90 pears. Each basket will be identical. What is the greatest number of fruit baskets the store can make using all the fruit?


⇒ 6

⇒ 9

⇒ 16

⇒ 18

Answers

Answer:

18

Step-by-step explanation:

just divided so ye .........

The number 2A5A0A2 is divisible by 99. What is the digit A

Answers

Answer:

A = 3

2A5A0A2 = 2353032

Step-by-step explanation:

Given:

2A5A0A2 is divisible by 9

2A5A0A2 can be divisible by 99 if the sum of the digits can be divided by 9

Digits A is between 0 to 9

2 + A + 5 + A + 0 + A + 2 = 9x

Where,

x = multiples of 9

9 + 3A = 9x

Make A the subject

A = (9x - 9) / 3

When x = 0

A = {9(0) - 9} / 3

= (0 - 9) /3

= -9/3

= -3

When x = 1

A = (9x - 9) / 3

= 9(1) - 9 /3

= 9-9/3

=0/3

A = 0

When x = 2

A = (9x - 9) / 3

= 9(2) -9 / 3

= 18-9/3

= 9/3

A = 3

When x = 3

A = (9x - 9) / 3

= 9(3) - 9 / 3

=27 - 9 /3

= 18/3

A = 6

When x = 4

A = (9x - 9) / 3

= 9(4) -9 /3

= 36-9/3

= 27/3

= 9

Recall, Digits A is between 0 to 9

Substituting A = 0

2050002 ÷ 99

= 20707.09

Substituting A = 3

2A5A0A2

2353032 ÷ 99

= 23,768

Substituting A = 6

2A5A0A2

2656062 ÷ 99

= 26,838.91

Substituting A = 9

2A5A0A2

2959092 ÷ 99

= 29,889.82

Therefore, the only A digit that will not give a decimal number when divided by 9 is 3

A = 3

A chemist is raising the temperature of a liquid. The temperature is now --8.4 degrees Celsius and is increasing by 1.6 degrees Celsius per minute. How many minutes will it take it for it to take to get to 0 degrees Celsius ​thiz is due 3

Answers

It will take 16 minutes

brainlist asap !!
___________

1) find the simple interest: ____
principal: $6000
interest rate: 5%
time: 6 months

Answers

Answer:

150 dollars in 6 months

Step-by-step explanation:

5% of 6000 is 300 cut a year in half you get half of 300 which is 150

The quality-control manager of a large factory is concerned about the number of defective items produced by workers. Thirty workers at the factory agree to participate in a study of three different incentive plans to help reduce the number of defective items produced. The plans will be randomly assigned to the workers so that 10 workers received each plan. The reduction in the number of defective items produced by each worker will be recorded two weeks after the plans are implemented.

Answers

Answer:

There is no blocking variable, and incentive plans will be randomly assigned to the workers.

Step-by-step explanation:

The options are missing and they are;

A ) There is no blocking variable, and incentive plans will be randomly assigned to the workers.

B ) There is no blocking variable, and the workers were selected at random.

C)  Each incentive plan is a block, and a completely randomized design is not blocked.

D ) Each plan will be randomly assigned to 10 pairs of workers who share a similar characteristic.

E ) The number of workers participating in the study was greater than or equal to 30.

The option that best describes  why a completely randomized design is an appropriate design to use in this situation is;

Option A; There is no blocking variable, and incentive plans will be randomly assigned to the workers.

A blocking variable is a variable used by an experimenter or a researcher to  block out nuisance variables and test the treatments that are of utmost importance to him.

A blocking variable is a continuous variable like weight, age e.t.c. From the question,  the treatments, that are the incentive plans, are being randomly assigned to the 30 workers without consideration of specific treatments via blocking variable and as such a completely randomized design would solve that problem.

Thus, we can conclude that the reason why a completely randomized design is important to use in this case is because there is no blocking variable and as such the treatments are randomly assigned to the workers.

Read more at; https://brainly.com/question/9606278

On Monday, Greg walks the entire length of a trail that is 3 1/2 miles long. On Tuesday he walks the entire length of a trail that is 4.6 miles long. On Wednesday, he starts out on a trail that is 2 1/5 miles long, but he does not walk the final 1.7 miles. How many miles does Greg walk in total on Monday, Tuesday, and Wednesday? *
A. 8 3/5
B. 8 3/50
C. 10 3/10
D. 10 3/100

Answers

C I think I’m not sure because I’m stuck on it too

MY NOTES Two stoves are located 45 feet apart, one giving out]] 4 times as much heat as the other. If you stand at a point on the line between the stoves at a distance x from the less powerful stove, the temperature of the air is given by H(x)=100 + 60 x2 + 240 (45−x)2 . Assume you move back an forth between the two stoves, always at least 4 ft from either stove.

Answers

Missing Part of the question:

a) Assume you wish to determine the maximum and minimum temperatures you would experience. the domain to study for the function H(x) would be?

b)The is one critical number for the function on the domain in part a and it is?

c) The maximum temperature you would experience is ?

d) The minimum temperature you would experience is ?

Answer:

a. Domain : [tex]4 \leq x \leq 41[/tex]

b. Critical point: [tex]x = 12.33[/tex]

c. The maximum is 115.09

d. The minimum is 100.62

Step-by-step explanation:

Given

[tex]H(x) = 100 + \frac{60}{x^2} + \frac{240}{(45 - x)^2}[/tex]

Solving (a): The domain of H(x)

From the question, we understand that the distance between the two stores is 45ft

Let the first stove be at point A (0 ft) and

the second stove be at point B (45ft)

Since you move back and forth within 4ft from either stoves, then

Your maximum distance at A is (0 + 4) ft = 4ft

Your minimum distance at B is (45 - 4) ft = 41ft

Hence, the domain is: [tex]4 \leq x \leq 41[/tex]

Solving (b): Critical Value

First, we have to differentiate H(x) w.r.t x

[tex]H(x) = 100 + \frac{60}{x^2} + \frac{240}{(45 - x)^2}[/tex]

Differentiate

[tex]H'(x) = 0 -\frac{120}{x^3} + \frac{480}{(45- x)^3}[/tex]

[tex]H'(x) = -\frac{120}{x^3} + \frac{480}{(45- x)^3}[/tex]

Equate H'(x) to 0

[tex]0 = -\frac{120}{x^3} + \frac{480}{(45- x)^3}[/tex]

Rewrite as:

[tex]\frac{120}{x^3} = \frac{480}{(45- x)^3}[/tex]

Cross Multiply

[tex]480 * x^3 = 120 * (45 -x)^3[/tex]

[tex]480 * x^3 = 120 * (45 -x)*(45 -x) * (45 -x)[/tex]

[tex]480 * x^3 = 120 * (2025 -90x +x^2) * (45 -x)[/tex]

[tex]480 * x^3 = 120 * (91125 -4050x +45x^2 -2025x - 90x^2 - x^3)[/tex]

[tex]480 * x^3 = 120 * (91125 -4050x -2025x+45x^2 - 90x^2 - x^3)[/tex]

[tex]480 * x^3 = 120 * (91125 -6075x-45x^2 - x^3)[/tex]

Divide both sides by 120

[tex]4x^3 =91125 -6075x-45x^2 - x^3[/tex]

[tex]4x^3 +x^3-91125 +6075x+45x^2= 0[/tex]

[tex]5x^3-91125 +6075x+45x^2= 0[/tex]

[tex]5x^3+45x^2 +6075x-91125= 0[/tex]

Divide through by 5

[tex]x^3+9x^2 +1215x-18225= 0[/tex]

Solving for x, we have that

[tex]x\approx \:12.33067[/tex]

[tex]x = 12.33[/tex]

Hence, the critical point is 12.33

Solving (x): Maximum temperature

Here, we simply substitute the endpoints of the domain in [tex]H(x) = 100 + \frac{60}{x^2} + \frac{240}{(45 - x)^2}[/tex]

Let x = 4

[tex]H(4) = 100 + \frac{60}{4^2} + \frac{240}{(45 - 4)^2}[/tex]

[tex]H(4) = 100 + \frac{60}{16} + \frac{240}{(41)^2}[/tex]

[tex]H(4) = 100 + \frac{60}{16} + \frac{240}{1681}[/tex]

[tex]H(4) = 100 + 3.75+ 0.14277215942[/tex]

[tex]H(4) = 103.892772159[/tex]

[tex]H(4) = 103.89[/tex] --- approximated

Let x = 41

[tex]H(41) = 100 + \frac{60}{41^2} + \frac{240}{(45 - 41)^2}[/tex]

[tex]H(41) = 100 + \frac{60}{41^2} + \frac{240}{4^2}[/tex]

[tex]H(41) = 100 + \frac{60}{1681} + \frac{240}{16}[/tex]

[tex]H(41) = 100 + 0.03569303985 + 15[/tex]

[tex]H(41) = 115.03569304[/tex]

[tex]H(41) = 115.04[/tex] ---- approximated

Compare both values: The maximum is 115.09

Solving (d): The minimum temperature

In (b), we have that:

[tex]x = 12.33[/tex] --- critical point

The minimum occurs at this point

Substitute 12.33 for x in [tex]H(x) = 100 + \frac{60}{x^2} + \frac{240}{(45 - x)^2}[/tex]

[tex]H(12.33) = 100 + \frac{60}{12.33^2} + \frac{240}{(45 - 12.33)^2}[/tex]

[tex]H(12.33) = 100 + \frac{60}{12.33^2} + \frac{240}{32.67^2}[/tex]

[tex]H(12.33) = 100 + \frac{60}{152.0289} + \frac{240}{1067.3289}[/tex]

[tex]H(12.33) = 100 + 0.39466180443 + 0.22486039682[/tex]

[tex]H(12.33) = 100.619522201[/tex]

[tex]H(12.33) = 100.62[/tex] --- approximated

Hence, the minimum is 100.62

Janie has \$3$3dollar sign, 3. She earns \$1.20$1.20dollar sign, 1, point, 20 for each chore she does and can do fractions of chores. She wants to earn enough money to buy a CD for \$13.50$13.50dollar sign, 13, point, 50.
Write an inequality to determine the number of chores, ccc, Janie could do to have enough money to buy the CD.

Answers

Answer:

9

Step-by-step explanation:

13.50 - 3 = 10.50

1.20×8 = 9.60 = not enough

1.20×9= 10.80 = more than enough

She has to do 9 chores to have enough money including the 3 dollar she already has

Answer:

Inequality:

3+1.20c ≥ 13.5

solution = c ≥ 8.75

On the graph, have the dot closed and have it going from the point between 8.5 and 9 going to the right.

 | ------------•---------- | -------------------- | ------------------> |              

8.5                        9                        9.5                   10

The table shows one point from the given graph. How could you find more ordered pairs to create a graph and table of equivalent fractions? Check all that apply. O Include the point (0, 0), which is on every graph of equivalent ratios. Multiply both 2 and 3 by 4. O Multiply 2 by 2 and 3 by 3. O Start at the point on the grid. Move right 2 and up 3 and plot the point. O Multiply 2 by 3 and 3 by 2.​

Answers

Answer:

A,B,D

Step-by-step explanation:

JUST TOOK THE QUIZ

Answer:

ABD :)

Step-by-step explanation:

Given g(x) = f(x) + k. Identify a value of k that transforms finto g. Round your answer to the nearest integer. g 2 X - 14 -2 O 2 2 f k =​

Answers

Answer:

k = -5

Step-by-step explanation:

We can see the lines are parallel

The function f(x) has y-intercept of 2 at point (2, 0) and the function g(x) has y-intercept of -3 at point of (-3, 0)

If f(x) = mx + 2, then g(x) = mx - 3

The value of k is the difference of y-intercepts as slopes are same due to lines being parallel:

g(x) = f(x) + kk = g(x) - f(x) k = (mx - 3) - (mx + 2) k = -3 - 2 k =  -5

So the answer is k = -5

3 1/4 divided by 3 1/2 in simplest form.

Answers

Answer:

3/14

Step-by-step explanation:

First off, we will turn the fractions into a different form. 3 1/4 will be 13/4 and 3 1/2 will be 7/3

Then, you want to turn 7/3 into 3/7 and multiply them

1/2 x 3/7 = 3/14

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