GH: chord
M: point of tangency
MJ: diameter
J: center
MH: radius
GH: secant
Answer:
The rate at which the distance between them is changing at 2:00 p.m. is approximately 1.92 km/h
Step-by-step explanation:
At noon the location of Lan = 300 km north of Makenna
Lan's direction = South
Lan's speed = 60 km/h
Makenna's direction and speed = West at 75 km/h
The distance Lan has traveled at 2:00 PM = 2 h × 60 km/h = 120 km
The distance north between Lan and Makenna at 2:00 p.m = 300 km - 120 km = 180 km
The distance West Makenna has traveled at 2:00 p.m. = 2 h × 75 km/h = 150 km
Let 's' represent the distance between them, let 'y' represent the Lan's position north of Makenna at 2:00 p.m., and let 'x' represent Makenna's position west from Lan at 2:00 p.m.
By Pythagoras' theorem, we have;
s² = x² + y²
The distance between them at 2:00 p.m. s = √(180² + 150²) = 30·√61
ds²/dt = dx²/dt + dy²/dt
2·s·ds/dt = 2·x·dx/dt + 2·y·dy/dt
2×30·√61 × ds/dt = 2×150×75 + 2×180×(-60) = 900
ds/dt = 900/(2×30·√61) ≈ 1.92
The rate at which the distance between them is changing at 2:00 p.m. ds/dt ≈ 1.92 km/h
Answer:
Working memory
Step-by-step explanation:
Working memory is a system the brain uses for temporarily storing and managing the information required to carry out complex cognitive tasks. The central executive part of the prefrontal cortex at the front of the brain is responsible for working memory. It serves as a temporary store for short-term memory, where information is kept available while it is needed for current reasoning processes.
So to be successful in holding the number 2.82 in my head while sorting, one must keep the information maintained in short-term storage by using one's working memory.
Answer:
d it's the cutest.
Step-by-step explanation:
Answer:
C. Table B, Graph B.
Step-by-step explanation:
