Answer:
The correct option is 1.
Step-by-step explanation:
Given information: The coordinates of a right angled triangle ABC are A(0, 0), B(0, 4a – 5) and C(2a + 1, 2a + 6). Angle ABC = 90°.
It means AB and BC are legs of the right angled triangle ABC.
Side AB lies on the y-axis because the x-coordinate of both A and B is 0.
Two legs are perpendicular to each other. So, BC must be parallel to x-axis and the y-coordinate of both B and C is must be same.
Divide both sides by 2.
The value of a is 2. So the coordinates of triangle ABC are
The area of a triangle is
The area of triangle ABC is
The area of triangle ABC is 102. Therefore the correct option is 1.
Subtract the sale price from the original price then divide the difference by the original price.
Guitar 1: 160 -100 = 60
60/160 = 0.375 x 100 = 37.5%
Guitar 2: 250 - 150 = 100
100/250 = 0.4 x 100 = 40%
The answer is the second guitar has a greater percent change of approximately 40%
Answer:
9/4<x≤4 or all real numbers
Step-by-step explanation:
I'm not sure what you are asking
Answer:
Step-by-step explanation:
The better buy is the one where you get more area of pizza per dollar (area/price).
Since the problem gives diameter, we assume the pizzas are circle-shaped.
Circle Area = pi x (radius)², and radius r = 1/2 of diameter d.
*************************************************************************************
Pizza 1: d = 8 and price is $10
r = 1/2 x d = 4
Area of Pizza 1 = πr² = π(4)² = 16π
*** area/price for Pizza 1 = 16π/$10 = 1.6π area per dollar
**********************************************************************************
Pizza 2: d = 14 and price is $16
r = 1/2 x d = 7
Area of Pizza 2 = πr² = π(7)² = 49π
*** area/price for Pizza 2 = 49π/16 = 3.0625π area per dollar
***********************************************************************************
Pizza 2 is the better buy, with more pizza per dollar.
Answer: True
Step-by-step explanation:
We try to keep the number greater than 1 and lower than 10, so between 1, and 9.
For example: 3545346 would be 3.5x10^6
you can see 3.5 is between 1 and 9
