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ss7ja [257]
3 years ago
14

3. A submarine dives at an

Mathematics
1 answer:
Vesna [10]3 years ago
8 0

Answer:

The height of deepness of submarine is 424.1 feet  

Step-by-step explanation:

Given as :

The angle at which submarine drives of the surface of water = Ф = 13°

The speed at which submarine travel = s = 760 feet per minute

Let The height of deepness of submarine = h feet

The time taken to reach that deepness = t = 5 minutes

<u>According to question</u>

The height of deepness of submarine = \dfrac{\textrm speed}{\textrm time}

i.e h × cos(90 - Ф) = \dfrac{s}{t}

Or,  h × Sin(Ф) = \dfrac{\textrm 760 feet per min}{8 min}

Or,  h × Sin(13°) = 95 feet

Or,   h × 0.224 = 95 feet

∴  h = \dfrac{95}{0.224}

i.e h = 424.10 feet

So, The height of deepness of submarine = h = 424.10 feet

Hence, The height of deepness of submarine is 424.1 feet  Answer

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Andrei [34K]

Answer:Simplifying

(5x + -6)(5x + -3) = 0

Reorder the terms:

(-6 + 5x)(5x + -3) = 0

Reorder the terms:

(-6 + 5x)(-3 + 5x) = 0

Multiply (-6 + 5x) * (-3 + 5x)

(-6(-3 + 5x) + 5x * (-3 + 5x)) = 0

((-3 * -6 + 5x * -6) + 5x * (-3 + 5x)) = 0

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(18 + -30x + (-3 * 5x + 5x * 5x)) = 0

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Subproblem 1

Set the factor '(3 + -5x)' equal to zero and attempt to solve:

Simplifying

3 + -5x = 0

Solving

3 + -5x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + -5x = 0 + -3

Combine like terms: 3 + -3 = 0

0 + -5x = 0 + -3

-5x = 0 + -3

Combine like terms: 0 + -3 = -3

-5x = -3

Divide each side by '-5'.

x = 0.6

Simplifying

x = 0.6

Subproblem 2

Set the factor '(6 + -5x)' equal to zero and attempt to solve:

Simplifying

6 + -5x = 0

Solving

6 + -5x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.

6 + -6 + -5x = 0 + -6

Combine like terms: 6 + -6 = 0

0 + -5x = 0 + -6

-5x = 0 + -6

Combine like terms: 0 + -6 = -6

-5x = -6

Divide each side by '-5'.

x = 1.2

Simplifying

x = 1.2

Solution

x = {0.6, 1.2}

Step-by-step explanation:

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