(05.01)a poster is shown below: a rectangle is shown. the length of the rectangle is labeled 12 feet. the width of the rectangle is labeled 3 feet. what are the dimensions if the poster is enlarged by a factor of five over two ? 7.5 ft by 30 ft 15 ft by 60 ft 1.5 ft by 6 ft 15 ft by 6 ft

The correct answer is the first option: 7.5 ft by 30 ft.

Step-by-step explanation:

If a rectangle is enlarged by a certain factor, that means that its height and width are both enlarged by such a factor. The new dimensions of the rectangle are obtained by multiplying the old dimensions by the enlarging factor, therefor we can compute the new dimensions as:

Where is the new width, is the old width, is the new height, is the old height, and is the enlarging factor.

From the above we can finally get that:

Option A) 7.5 ft by 30 ft

Step-by-step explanation:

We are given the following information:

Dimension of rectangle:

Length = 12 feet

Width = 3 feet

The poster is enlarged by a factor of

After enlargement, we can write

The dimension of poster is 7.5 feet by 30 feet

Option A) 7.5 ft by 30 ft

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

3+x

step-by-step explanation: