Ok, so we know one point is (4,2) and the other is (-4, 0)
Slope: -2/-8 = 1/4
y ? 1/4x + b
0 = -1 + b
b = 1
y < 1/4x + 1
Step-by-step explanation:
Distance = rate × time
If b is the speed of the boat in still water, and c is the speed of the current, then:
60 = (b + c) × 4
35 = (b − c) × 3.5
Simplifying:
15 = b + c
10 = b − c
Add the equations together:
25 = 2b
b = 12.5
Plug into either equation to find c:
c = 2.5
The speed of the boat is 12.5 km/h, and the speed of the current is 2.5 km/h.
Answer:
63.4°
Step-by-step explanation:
Pole height = 1
shadow = 1/2
tan ∠CAB = 1 / (1/2) = 2
∠CAB = 63.4°
Answer:
B and D
Step-by-step explanation:
A 20 degree intercepted arc will correspond with two angles: the inscribed angle and the central angle.
The central angle always has the same degree measure as the intercepted arc, so we want a central angle with degree 20. So, that's B.
The inscribed angle is the angle whose vertex is on the circle, not the center. This angle always has half the measure of the intercepted arc, so we want an angle with degree 20/2 = 10. So, that's D.
Thus, the answers are B and D.
Hope this helps!
Least common multiple of 4 and 12 is 12.
