Answer and Explanation:
If the rectangle is dilated by a scale factor of 2, that means that all of its sides are doubled.
(a) Originally, AB = CD = 15
So, we just multiply 15 by 2: 15 * 2 = 30. Now, A'B' = C'D' = 30 cm
Originally, AC = BD = 8
We just multiply 8 by 2: 8 * 2 = 16. Now, A'C' = B'D' = 16 cm
(b) Basically, the drawing will be of a new rectangle with dimensions of 30 cm by 16 cm.
Answer:
We need to find length and width. To find two unknowns we need two equations.
P = 2L + 2W = 34
L = W + 3
34 = 2(W + 3) + 2W
34 = 2W + 6 + 2W
28 = 4W
W = 7
L = 7 + 3 = 10
The length is 10 inches and the width is 7 inches.
Step-by-step explanation:
Answer:
The Tasty Beans Coffee House being planned for the corner of SE 12th and Main will ruin a perfectly nice neighborhood. Besides the fact that Tasty Beans already has coffee shops all over the city, it will pull business away from local coffee houses that have been here for decades. In addition, there is already a parking problem on that street, and the new business will just add to the congestion. They're planning a drive-up window, too, and that will mean a steady stream of traffic in a very high-volume area. Ask anyone walking down the street, and they'll tell you this is a bad idea. I speak for my whole neighborhood when I say, "Go away, Tasty Beans!"
Step-by-step explanation:
The Tasty Beans Coffee House being planned for the corner of SE 12th and Main will ruin a perfectly nice neighborhood. Besides the fact that Tasty Beans already has coffee shops all over the city, it will pull business away from local coffee houses that have been here for decades. In addition, there is already a parking problem on that street, and the new business will just add to the congestion. They're planning a drive-up window, too, and that will mean a steady stream of traffic in a very high-volume area. Ask anyone walking down the street, and they'll tell you this is a bad idea. I speak for my whole neighborhood when I say, "Go away, Tasty Beans!"
A=100°
as 180-140= 40 , 40 x 2 = 80 & 180-80 = 100° = a
Answer: Lucy pays $ 492.58 back altogether.
Step-by-step explanation:
Formula : Interest = Principal x Rate x Time
Given: Principal = $425 , rate = 5.3% = 0.053 , time = 3 years
Interest = 425 x 0.053 x 3 ≈ $ 67.58
Total amount need to pay back = Principal + Interest
= $ (425+67.58)
= $ 492.58
Hence, Lucy pays $ 492.58 back altogether.
