Answer:
The length of side BC is 2.8 units
Step-by-step explanation:
* Lets revise how to find the distance between two points
- If there are two points their coordinates are (x1 , y1) and (x2 , y2),
then we can find the distance between them by this rule:
d = √[(x2 - x1)² + (y2 - y1)²]
- Now lets solve the problem
∵ B = (3 , 3)
∵ C = (5 , 1)
- To find the length of BC use the rule of the distance above
- Let point B is (x1 , y1) and point C is (x2 , y2)
∵ x1 = 3 and x2 = 5
∵ y1 = 3 and y2 = 1
∴ BC = √[(5 - 3)² + (1 - 3)²]
∴ BC = √[(2)² + (-2)²]
∴ BC = √[4 + 4] = √8 = 2.8 units
* The length of side BC is 2.8 units
Answer:
y(t) = 494 (1.03)^t
y(10) = 663,89
Step-by-step explanation:
An increase in population by 3% each year means that at the end of each year, the population is 1.03 times what it was at the start of the year
This increase in population continues for t years
Exponential growth model that represents the population y (in thousands) t years after the beginning of the decade is
y(t) = 494 (1.03)^t
Where,
y = population
t = number of years
Find y when t = 10
y(t) = 494 (1.03)^t
y(10) = 494 (1.03)^10
= 494 ( 1.3439)
= 663.8866
Approximately y(10) = 663.89
This means that after 10 years from when the population was 494,000, it increased to 663,89.
She would end up with:
1) A total of 15 inches of dowel (or 1' 3" - A foot and 3 inches)
2) Pieces that are 2 1/2" (inches) long.
