Which ratios is equivalent to 12 over 2 ?

The rectangular prism has a length of 9 units, a width of 10 units (since width = 90 / length), and a height of 5 units (since height = (5/9) length).

What is the area of a rectangle?

A rectangle is a quadrilateral with four right angles (90-degree angles) and opposite sides that are parallel and congruent (equal in length). The area of a rectangle is defined as the amount of space that is enclosed by its two-dimensional shape, and it can be calculated by multiplying the length of the rectangle by its width. The formula for the area of a rectangle is:

Based on the given information, we can determine the dimensions of the rectangular prism as follows:

Cross section A has an area of 90 square units, which is equal to the area of the base of the prism. Since the base of the prism is a rectangle, we can use the formula for the area of a rectangle to find its dimensions:

90 = length x width

Cross section B has an area of 50 square units, which is equal to the area of one of the sides of the prism. Since the sides of the prism are also rectangles, we can use the formula for the area of a rectangle to find its dimensions:

50 = height x width

Cross section C has an area of 45 square units, which is equal to the area of the front of the prism. Since the front of the prism is also a rectangle, we can use the formula for the area of a rectangle to find its dimensions:

45 = length x height

We now have three equations with three unknowns, which we can solve for to find the dimensions of the prism:

90 = length x width

50 = height x width

45 = length x height

Solving for width in the first equation gives us:

width = 90 / length

Substituting this into the second equation gives us:

50 = height x (90 / length)

Solving for height gives us:

height = 50 x (length / 90) = (5/9) length

Substituting this into the third equation gives us:

45 = length x (5/9) length = (5/9) length²

Solving for length gives us:

length² = (9/5) x 45 = 81

length = √(81) = 9

Therefore, the rectangular prism has a length of 9 units, a width of 10 units (since width = 90 / length), and a height of 5 units (since height = (5/9) length).

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Final answer:

The sentence is about the capacity of an auditorium, stating how many people it can hold. If you're asking for a translation into a different language, it would depend on the specific language.

Explanation:

The sentence 'The auditorium can hold a maximum 150 people.' is an English sentence stating the capacity of an auditorium - the maximum number of people it can safely accommodate. In terms of translation, if you meant translating to another language, the translation would vary based on the language. For example, in Spanish, it would be 'El auditorio puede albergar un máximo de 150 personas.'

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Answer:

0.5

Step-by-step explanation:

9514 1404 393

Answer:

  x = -15

Step-by-step explanation:

It appears the drawing is showing two representations for the distance LK. Of course, they both have the same value.

  10 = LK = x+25

Subtracting 25 from the equation, we have ...

  -15 = x

(This value of x makes KJ = (2(-15)+27) = -3, a nonsense value.)

_____

Alternate (more sensible) interpretation

If the bottom line is intended to represent LJ, then we have ...

  10 +(2x+27) = (x +25) . . . . LK +KJ = LJ

  x +37 = 25 . . . . subtract x

  x = -12 . . . . . . .  subtract 37

With this value of x, the length of KJ is 2(-12)+27 = 3, and the overall length LJ is (-12)+25 = 13. This is consistent: LK=10, KJ = 3, LJ = 13.