The first thing you should know is that by definition:
d = v * t
Where
d: distance
v: speed
t: time
We then have to clear the time:
t = (d) / (v)
Substituting the values:
t = (6000) / (200)
t = 30 minutes
Answer:
It will take a raindrop to travel 6000m about:
t = 30 minutes
Refer to the diagram shown below.
Given:
m∠A = 19°
c = 15
By definition,
sin A = a/c
Therefore
a = c*sin A = 15*sin(19°) = 4.8835
cos A = b/c
Therefore
b = c*cos A = 15*cos(19°) =14.1828
Answer:
The lengths are 4.88, 14.18, and 15.00 (nearest hundredth)
Answer:
D. -2/3
Step-by-step explanation:
Since it is going down, it is negative
Think of this: Rise/Run
In this case, rise is when you are going up or down the graph
Run is when you are going to the right of the graph
Let's use 2 points (0,3) and (3,1)
Since you are going three points to the right we are going to put 3 in for run
You are going 2 places down, so we are going put -2 in for rise
This gives us -2/3
Another way to do this is (1-3)/(3-0) = -2/3
Answer:
The triangles are similar by the AA similarity postulate
Step-by-step explanation:
The only thing we know is that the three angles are the same
70+30 +80 = 180 so the missing angle in each triangle is 80 in the first and 70 in the second
The triangles are similar by the AA similarity postulate
Answer:
a)

b) 0.09
Step-by-step explanation:
We are given the following in the question:

where B(t) gives the brightness of the star at time t, where t is measured in days.
a) rate of change of the brightness after t days.

b) rate of increase after one day.
We put t = 1

The rate of increase after 1 day is 0.09