Answer:
Step-by-step explanation:
1). Coordinates of Art → (1, -5).
Coordinates of Library → (1, 9)
Coordinates of Science → (-5, -5)
Distance between Art and Library = 
= 
= 14 units
Distance between Art and Science = 
= 6 units
Since 14 > 6,
Art is closer to Science than Library.
Answer is False.
2). Coordinates of Cafeteria → (-7, 9)
True.
The best way to go about this questions is to write out a formula in which x represents the original price of the dress: x*0.90=27. To see where the 0.90 came from, if Kate's dress was 10% off, she must have paid 90% of the original price (100%-10%=90%). Then, to convert a percentage to a decimal, move the decimal point twice to the left so 90% becomes 0.90. Then, our formula essentially means that 90% of some number (x) is equal to 27. To solve for x, divide both sides of the formula by 0.90 to get x=$30 which is the final answer.
I hope this helps.
Answer:
The circumference is 24.69 in.
The area is 48.52 in.
Step-by-step explanation:
- Circumference rule => Cf=2πr
So, Cf=2π(3.93)=24.69in
So, A=π(3.93)^2=48.52in
Answer:
Area of shaded region = 28 in^2
Step-by-step explanation:
Area of rectangle = 8 x 5 = 40 in^2
Area of triangle = 1/2 x 8 x 3 = 12 in^2
Area of shaded region = 40 in^2 - 12 in^2 = 28 in^2
