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3 years ago

6. A ship is on the surface of the water, and its radar detects a submarine at a distance of

Mathematics

1 answer:

Minchanka [31]3 years ago

7 0

Answer:

the submarine is 92.994 feet ≈ 93 feet deep from the surface of the water

Step-by-step explanation:

We can think in a triangle where the hypotenuse is the detection distance and the angle with the horizontal surface of water is the depression angle, then the underwater distance is the vertical side of the triangle.

If we denote Ф as the angle of depression ,d as the detection distance and x as the unknown depth of the submarine, using trigonometry:

x = d* sin Ф

thus

x= d * sin Ф = 238 feet * sin 23° = 92.994 feet ≈ 93 feet

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Solve the systems by the addition method 2x + y = - 1x - 2y = - 4

inna [77]

Answer:

x = -6/5

y =7/5

Step-by-step explanation:

2x + y = - 1

x - 2y = - 4

Multiply the first equation by 2 so we can eliminate y

2(2x + y = - 1)

4x + 2y = -2

Add this to the second equation

4x + 2y = -2

x - 2y = - 4

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5x + 0y = -6

Divide by 5

5x/5 = -6/5

x = -6/5

Multiply the second equation by -2 so we can eliminate x

-2(x - 2y = - 4)

-2x+4y = 8

Add this to the first equation

2x + y = - 1

-2x+4y = 8

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0x + 5y = 7

Divide by 5

5y/5 = 7/5

y =7/5

6 0

2 years ago

Transform the equation to isolate x: ax=bx+1. How is the value of x related to the difference of a and b

nasty-shy [4]

Answer:

x is the reciprocal of the difference of a and b.

Step-by-step explanation:

ax=bx+1

Subtract by bx on both sides

ax-bx=1

x(a-b)=1

x= 1/(a-b)

8 0

2 years ago

Read 2 more answers

How who I complete the table?

Natalka [10]

Answer:

Step-by-step explanation:

you have to remove // to calculate

5 0

3 years ago

What is the answer???<br> P-6+2=-4+10

miskamm [114]

Answer:p=6-2-4+10

P=4-4+10

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Step-by-step explanation:

3 0

3 years ago

In ¾ pound of a banana bread, there is ½ cup of cinnamon. How much cinnamon does the bread contain per pound?

Shkiper50 [21]

1 pound of bread contains $\frac{2}{3}$ cups of cinnamon.

<h3><u>Solution:</u></h3>

Given that , In $\frac{3}{4}$ pound of a banana bread, there is $\frac{1}{2}$ cup of cinnamon

Amount of cinnamon per pound in bread

Let "n" be the cinnamon per pound present in bread

$\frac{3}{4}$ pound of banana bread ⇒ $\frac{1}{2}$ cup of cinnamon

Then, 1 pound of bread ⇒ n cups of cinnamon

Now, let us use criss cross method (i.e. multiplying the diagonal ordered terms and equating them)

$\begin{array}{l}{\rightarrow n \times \frac{3}{4}=\frac{1}{2} \times 1} \\\\ {\rightarrow n \times \frac{3}{4}=\frac{1}{2}} \\\\ {\rightarrow n=\frac{1}{2} \times \frac{4}{3}} \\\\ {\rightarrow n=\frac{2}{3}}\end{array}$

Hence, 1 pound of bread contains $\frac{2}{3}$ cups of cinnamon.

3 0

3 years ago