Answer:

Step-by-step explanation:
Given



Required
Determine CD
Since, C is a point on BD, the relationship between the given parameters is;

Substitute the values of BD, BC and CD

Collect Like Terms


Divide both sides by -4


To determine the length of CD;
Substitute 3 for x in 
Hence;

Velocity
Formula wise:
1/2 x mass x velocity^2
Answer:

Step-by-step explanation:
The population of a community is known to increase at a rate proportional to the number of people present at time t.
This means that the population growth is modeled by the following differential equation:

Which has the following solution:

In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.
The population has doubled in 10 years
This means that
. We use this to find r.







So the equation that will estimate the population of the community in t years is:

Answer: 41.1
Step-by-step explanation:
To find the value of x, we need to use SOH-CAH-TOA. SOH-CAH-TOA is since, cosine, and tangent. The O, A, H stands for opposite, adjacent, and hypotenuse respectively.
Looking at the figure, we see 47°. The labelled angles are adjacent and the hypotenuse. Therefore, we use CAH or cosine.
[multiply both sides by x]
[divide both sides by cos(47)]

When we plug that into a calculator, we get x=41.1.