Answer:
A. The magnitudes are 10, and the direction angles are about 18 degrees.
Step-by-step explanation:
Edge 2020
Answer:
4/5
Step-by-step explanation:
Slope
Slope y-intercept of a line: y = mx + b
Where m is the slope and b is the y-intercept.
Answer:
A: an = 6n - 9
Step-by-step explanation:
third term in an arithmetic sequence is 9
a3 = a + 2d
a + 2d = 9
the fifth term is 21
a5 = a + 4d
a + 4d = 21
a + 2d = 9 (1)
a + 4d = 21 (2)
Subtract (1) from (2) to eliminate a
4d - 2d = 21 - 9
2d = 12
d = 12/2
d = 6
Substitute d = 6 into (1)
a + 2d = 9 (1)
a + 2(6) = 9
a + 12 = 9
a = 9 - 12
a = -3
nth term of this sequence = a + (n - 1)d
= -3 + (n - 1)6
= -3 + 6n - 6
= 6n - 9
an = 6n - 9
Answer:
Negative infinity
Step-by-step explanation:
The line points down infinitely in the graph.
Answer:
a) 6080 ft
b) 29.952 mph = 30 mph to 2s.f
c) 15.6 knots
Step-by-step explanation:
Length of an arc is given as (θ/360) × (2πr)
For a nautical mile, θ = 1' = (1/60)° = 0.01667°
Length of a nautical mile = (0.01667/360) × (2π × 3960) = 1.152 miles
1 mile = 5280 ft
1.152 miles = 5280×1.152 = 6082.1 ft = 6080 ft to the nearest 10 feet.
b) 1 knot = 1 nautical mile/hour
1 nautical mile/hour = 1.152 miles/hour (from part (a))
1 knot = 1.152 miles/hour
26 knots = 26 × 1.152 miles/hour = 29.952 mph = 30 mph to 2 s.f
c) 1.152 mph = 1 knot
18 mph = (18×1/1.152) knots = 15.625 knots
