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elena55 [62]
3 years ago
9

10 points

Mathematics
1 answer:
oee [108]3 years ago
6 0

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 :

\sin30=\dfrac{120}{x}\\\\x=\dfrac{120}{\sin30}\\\\x=240\ \text{feet}

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

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The area of the pencil is 36 inches.

Step-by-step explanation:

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Solve for k.<br>7k - 2 ≥ -9​
Akimi4 [234]

Answer: k ≥ -1

Step-by-step explanation:

7k - 2 ≥ -9

add two to both sides

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A robot can complete 8 tasks in 3/10 hour. Each task takes the same amount of time. How long does it take the robot to complete
Vsevolod [243]

Answer:

Robot will take \frac{3}{80} hour to complete each task.

The robot can complete 26\frac{2}{3} tasks in one hour.

Step-by-step explanation:

We have been given that a robot can complete 8 tasks in 3/10 hour. Each task takes the same amount of time.

To find the time taken by robot to complete each task we will divide total time taken to complete 8 tasks by 8 as:

\text{Time taken by robot to complete each task}=\frac{3}{10}\div 8  

\text{Time taken by robot to complete each task}=\frac{3}{10}\div \frac{8}{1}

Now we will convert division problem into multiplication problem by flipping the 2nd fraction.

\text{Time taken by robot to complete each task}=\frac{3}{10}\times \frac{1}{8}

\text{Time taken by robot to complete each task}=\frac{3}{80}

Therefore, robot will take \frac{3}{80} hour to complete each task.

To find tasks completed by robot in one hour we will use proportions.

\frac{x}{1\text{ hour}}=\frac{8}{\frac{3}{10}}

\frac{x}{1}=\frac{80}{3}

x=\frac{80}{3}

x=26\frac{2}{3}

Therefore, the robot can complete 26\frac{2}{3} tasks in one hour.

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4,158 - 3,500 = 658

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Answer:

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Step-by-step explanation

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