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Umnica [9.8K]
3 years ago
13

The volume of the right prism is 252 ft3. What is the surface area of the prism, in square feet?

Mathematics
2 answers:
Alex73 [517]3 years ago
8 0

Answer:

a) 252 square feet

Surface area of triangular prism = 252 square feet

Step-by-step explanation:

Explanation:-

Given diagram  Base = 3 feet

Height of the triangular = 4 feet

The slant height of triangular prism 'l' =20 feet

The hypotenuse of the triangle 'c' = 5 feet

prism base area 'p' = h+b+c =  = 4 +3+5 =12

Surface area of triangular prism

                        =  

                         = b h + p l

                         = 3 ×4 + 12×20

                        = 252 square feet

Final answer:-

Surface area of triangular prism = 252 square feet

Step-by-step explanation:

Dmitry [639]3 years ago
6 0

Answer:

a) 252 square feet

Surface area of triangular prism = 252 square feet

Step-by-step explanation:

Explanation:-

Given diagram  Base = 3 feet

Height of the triangular = 4 feet

The slant height of triangular prism 'l' =20 feet

The hypotenuse of the triangle 'c' = 5 feet

prism base area 'p' = h+b+c =  = 4 +3+5 =12

Surface area of triangular prism

                         =  

                          = b h + p l

                          = 3 ×4 + 12×20

                         = 252 square feet

Final answer:-

Surface area of triangular prism = 252 square feet

Step-by-step explanation:

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Step-by-step explanation:

1.

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We chose the negative value of the cosine because of the condition where cot y > 0. Otherwise, choosing the positive root will yield a negative cotangent value. Now that we know the sine and cosine of y, we can now solve for the tangent:

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3. Recall that sec x = 1/cos x, therefore cos x = 5/6. Solving for sin x,

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(C) \frac{1}{3} fraction of the marbles now in the bag is blue.

<h3>What is a fraction?</h3>
  • A fraction is a portion of a whole or, more broadly, any number of equal parts.
  • In everyday English, a fraction represents the number of pieces of a specific size, such as one-half, eight-fifths, or three-quarters.
  • A common, vulgar, or simple fraction that consists of a numerator above a line and a non-zero denominator below that line.
  • Numerators and denominators are also employed in uncommon fractions such as compound fractions, complex fractions, and mixed numerals.

To find what fraction of the marbles now in the bag is blue:

  • Important information is that immediately before the last step blue marbles formed \frac{1}{5} from the marble in the bag.
  • That means that there were x blue and 4x other marbles, for some x.
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Therefore, (C) \frac{1}{3} fraction of the marbles now in the bag is blue.

Know more about fractions here:

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Complete question:

A bag initially contains red marbles and blue marbles only, with more blue than red. Red marbles are added to the bag until only 1 / 3 of the marbles in the bag are blue. Then yellow marbles are added to the bag until only 1 / 5 of the marbles in the bag are blue. Finally, the number of blue marbles in the bag is doubled. What fraction of the marbles now in the bag are blue?

(A) 1/5

(B) 1/4

(C) 1/3

(D) 2/5

(E) 1/2

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