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Sveta_85 [38]
3 years ago
14

The school's production of Romeo and Juliet began at 7:30 P.M. The first act lasted 1 hour and 45 minutes. The act was followed

by a 20 minute intermission. What time did the second act begin?
Mathematics
2 answers:
kkurt [141]3 years ago
3 0
The second act began at 9:35.
Harlamova29_29 [7]3 years ago
3 0

Answer:

Step-by-step explanation:

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If the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2:3
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Answer:  The correct option is (B) 24 : 25.

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Let 2x, 3x be the sides of rectangle R and y be the side of square S.

Then, according to the given information, we have

\textup{Perimeter of rectangle R}=\textup{Perimeter of square S}\\\\\Rightarrow2(2x+3x)=2(y+y)\\\\\Rightarrow 5x=2y\\\\\Rightarrow \dfrac{x}{y}=\dfrac{2}{5}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

Therefore, the ratio of the area of R to the area of S is

\dfrac{2x\times3x}{y\times y}\\\\\\=\dfrac{5x^2}{y^2}\\\\\\=6\left(\dfrac{x}{y}\right)^2\\\\\\=6\times\left(\dfrac{2}{5}\right)^2~~~~~~~~~~~[\textup{Using equation (i)}]\\\\\\=\dfrac{24}{25}\\\\=24:25.

Thus, the required ratio of the area of R to the area of S is 24 : 25.

Option (B) is CORRECT.

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Step-by-step explanation:

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О
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b

Step-by-step explanation:

B

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