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Pani-rosa [81]
2 years ago
13

A navy cruiser detects a nuclear submarine that is 2500 feet from the cruiser. The angle between the water level and the submari

ne is 15.5 degrees. How deep is the submarine?
Mathematics
1 answer:
nataly862011 [7]2 years ago
6 0

Answer:

Depth of the submarine = 668.09 feet

Step-by-step explanation:

From the figure attached,

In triangle ABC,

Distance between a navy cruiser and a nuclear submarine = 2500 feet

Angle between the water level and the submarine = 15.5°

By applying sine rule in the given triangle,

sin(∠BAC)° = \frac{BC}{AC}

sin(15.5°) = \frac{BC}{2500}

BC = 2500[sin(15.5)]

BC = 668.09 feet

Therefore, submarine is 668.09 feet deep in the sea.

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densk [106]

Answer:

1) 25%

2) 555.56

3) 10%

4) 700

Step-by-step explanation:

1) 35 is what percent of 140

This is calculated as:

35/140 × 100

= 25%

2) 250 is 45% of what number?

Let the number be represented as x

This is calculated as:

45% of x = 250

45/100 × x = 250

45x /100 = 250

Cross Multiply

45x = 250 × 100

x = 25000/45

x = 555.55555556

x = 555.56

3) 74 is what percent of 740?

Let the percentage be represented by x

x% × 740 = 74

Divide both side by 740

x% = 74/740

x% = 0.1

Converting to percentage

0.1 × 100 = 10%

4) 350 is 50% of what number?

Let the number the represented by x

This is calculated as:

50% of x = 350

50/100 × x = 350

50x /100 = 350

Cross Multiply

50x = 350 × 100

x = 35000/50

x = 700

x = 555.56

5 0
3 years ago
A cone is formed from a 300-degree sector of a circle of radius 18 by aligning the two straight sides. what is the result when t
vampirchik [111]

The radius of the completed cone is

... 18×(300°/360°) = 15

The height of the completed cone is found from the Pythagorean theorem:

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... h = √99 = 3√11

The volume is given by

... V = (1/3)πr²·h = (1/3)π·15²·3√11

Dividing this value by π gives 225√11 cubic units.

7 0
3 years ago
What is three eights plus one eight
kramer

Answer:

3/8 + 1/8

Step-by-step explanation:

so you just need to add the both firsnumber which is 3 and 1 is equal to 4 and second is you add the both second number whick is 8 and 8 is equal to 16 now that you got all the numbers needed to complete the fraction just put the 4 in the top and pu the slach or / and put the 16 in the bottom

Exact Answer:<em>4</em><em>/</em><em>1</em><em>6</em>

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What is 1 2/3 times 4/5 in simplest form
Leviafan [203]

Answer:

Step-by-step explanation:

numerator x numerator

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3 years ago
Write 5 wholes and 9 ; 25 fifths as an improper fraction.
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Answer:

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3 years ago
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