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1 year ago

If a position on the ocean floor is 12 kilometers below the sea level, which value describes the elevation of the ocean floor

Mathematics

1 answer:

LenKa [72]1 year ago

4 0

Answer:

- 12

Step-by-step explanation:

The sea level serves as a reference point and may be used to describe objacetsvir positions above or below it. Therefore, the sea level is regarded as a zero point or level. Hence, objects below are describes to be at a negative distance while those above are assigned the positive sign. Hence, for a position which is 12 km below sea level, then the object is said to be at a distance of - 12 km (below sea level takes the negative sign.)

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In a quiz contest, 4 marks were awarded for a correct answer and -2 marks were given for an incorrect answer. If James gave 5 in

Zina [86]

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Answer:

Step-by-step explanation:

For c correct answers and 5 incorrect answers, James's score is ...

4c -2(5) = 30

4c = 40 . . . . . . add 10

c = 10 . . . . . . . . divide by 4

James gave 10 correct answers.

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2 years ago

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Angie will now have 100 stuffed animals

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2 years ago

Write the sentence as an equation. Then solve 2 less than one-sixth of a number n is 5

lakkis [162]

Answer:

n=42

Step-by-step explanation:

n/6-2=5

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2 years ago

Find the dimensions of an open rectangular box with a square base that holds 2000 cubic cm and is constructed with the least bui

Vesnalui [34]

<h3>The dimensions of the given rectangular box are:</h3><h3>L = 15.874 cm , B = 15.874 cm , H = 7.8937 cm</h3>

Step-by-step explanation:

Let us assume that the dimension of the square base = S x S

Let us assume the height of the rectangular base = H

So, the total area of the open rectangular box

= Area of the base + 4 x ( Area of the adjacent faces)

= S x S + 4 ( S x H) = S² + 4 SH ..... (1)

Also, Area of the box = S x S x H = S²H

⇒ S²H = 2000

$\implies H = \frac{2000}{S^2}$

Substituting the value of H in (1), we get:

$A = S^2 + 4 SH = S^2 + 4 S(\frac{2000}{S^2}) = S^2 + (\frac{8000}{S})\\\implies A = S^2 + (\frac{8000}{S})$

Now, to minimize the area put :

$(\frac{dA}{dS} ) = 0 \implies 2S - \frac{8000}{S^2} = 0\\\implies S^3 = 4000\\\implies S = 15.874 \approx 16 cm$

Putting the value of S = 15.874 cm in the value of H , we get:

$\implies H = \frac{2000}{S^2} = \frac{2000}{(15.874)^2} = 7.8937 cm$

Hence, the dimensions of the given rectangular box are:

L = 15.874 cm

B = 15.874 cm

H = 7.8937 cm

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2 years ago

In the xy-coordinate plane shown, line L passes through point C and has a slope of -2. A dilation of line {with center A and a s

masya89 [10]

Answer:

C' (-4 , 2)

slope of new line = line "L" = -2

Step-by-step explanation:

C (x₀,y₀): (0,2) dilation center (h,k): (2,2) scale factor (sf): 3

C' (x,y)

x = 2 + 3*(0-2) = -4 x = h + sf*(x₀ - h)

y = 2 + 3*(2-2) = 2 y = k + sf*(y₀ - k)

C' (-4 , 2)

slope of new line = line "L" = -2

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1 year ago