Answer:E
Step-by-step explanation:
Type it all into a calculator
Answer:
Step-by-step explanation:
should be A.
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
4rt33 or 4 times the square root of 33
4 = the square root of sixteen, so the square root of 16 times the square root of 33 = the square root of 628
Answer:
Option A) angle bisector
Step-by-step explanation:
Angle Bisector:
- An angle bisector is a line that divides an angle into two equal parts.
- The angle bisector divide the angle in two equal parts.
- An angle bisector is equidistant from the sides of the angle when measured along a segment perpendicular to the sides of the angle.
- It cuts the angle into half.
- Thus, a sector can be divided into two equal sectors by drawing an angle bisector.
To divide the sector into two congruent sectors we can use the angle bisector construction.
Thus, the correct answer is
Option A) angle bisector
