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Sophie [7]
3 years ago
9

A submarine is at the surface of the ocean, preparing to dive. it submerges and dives -993 ft. then it ascends 308 ft to avoid h

itting an undersea cliff. what integer represents the submarines position in ft after it ascends to avoid the cliff?
A. 1,301
B. 685
C. -1,301
D. -685​
Mathematics
1 answer:
Sonbull [250]3 years ago
6 0

Answer:

\text{D. -685}

Step-by-step explanation:

Let the submarine's initial position be 0. After diving 993 feet, its position will be -993 ft. The submarine then ascends 308 feet, meaning its final position will be -993+308=\boxed{-685}.

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How can I solve this problem
jolli1 [7]

Answer:

x = 27

Step-by-step explanation:

I'm going to use letters to label the parts of the triangle while explaining how to solve for x:

Angle A = x (bottom left angle of the triangle)

Angle B = 4x (top angle of the triangle)

Angle C = empty angle (bottom right angle of the triangle)

Angle D = 3x + 54 (angle outside of the triangle)

A line has a angle measurement of 180 degrees.

Angle C & D make up the line, meaning Angle C + Angle D = 180 degrees.

To find Angle C, we would subtract Angle D's equation from 180 like this:

180 - (3x + 54)

Now Angle C equals 180 - (3x + 54)

Now we have all the angles inside the triangle. To find x, we are going to sum up  Angle A, B, & C and set it equal to 180.

We set the equation to 180 because a the sum of the interior angles for a triangle is 180.

The equation looks like this:

(180 - (3x + 54)) + 4x + x = 180

Now we use basic algebra to solve it:

(180 - (3x + 54)) + 4x + x = 180

(distribute the - to (3x + 54))

180 - 3x - 54 + 4x + x = 180

(add like terms on the left side of the equation)

126 + 2x = 180

(subtract 126 from both sides)

2x = 54

(divide both sides by 2)

x = 27

To prove this answer is correct, plug it back in the original equation and you'll see that it ends up equaling 180, which is the sum of interior angles for triangle.

Hope it helps (●'◡'●)

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3 years ago
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Step-by-step explanation:

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