a)-5c2d2
b)-5cd
c)5cd
Answer:
5cd is the answer!!
Triangles ABC and DEF are similar, which means corresponding sides are proportional to one another. Here, side AB corresponds to DE, BC to EF, and AC to DF.
We know the length of AB and AC, and we can figure out the length of BC using the Pythagorean theorem:
Sides BC and EF correspond to one another, and EF is 2 times longer than BC. This means DF is 2 times longer than 17, so that .
Answer:
87,120 ft²
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Surface area of the Empire State building replica = 45 square feet
Scale factor = 44
2. What is the surface area of the actual Empire State Building in square feet?
For answering the question, we will make the following calculations:
45 square feet = 9 feet * 5 feet or,
45 square feet = 10 feet * 4.5 feet, or,
45 square feet = 20 feet * 2.25 feet.
Now, let's apply the scale factor to all of these probable lengths of the sides of the surface area of the replica, as follows:
(9 *44) * (5 * 44) = 396 * 220 = 87,120 ft²
(10 * 44) * (4.5 * 44) = 440 * 198 = 87,120 ft²
(20 * 44) * (2.25 * 44) = 880 * 99 = 87,120 ft²
As we proved, no matter what are the lengths of the sides of the surface area of the replica. after applying the scale factor, the result is the same: 87,120 ft²