Answer:
2.1
Step-by-step explanation:
This involves trigonometry. Since we need to find the value of a, we need to find a trig equation with a as the numerator. Luckily, we have one, tan. So, tan(20) is equal to a/6, right. So, using a calculator, tan(20) is approximately equal to 0.363. This times 6 should equal a. This is approximately around 2.1. Thus our answer is 2.1
Answer:
Yes, the average speed for the entire trip from A to C is equal to 
Step-by-step explanation:
The average speed of an object is defined as the distance traveled divided by the time elapsed. Velocity is a vector quantity, and average velocity can be defined as the displacement divided by the time. For the special case of straight line motion in the x direction, the average velocity takes the form:

If the beginning and ending velocities for the motion are known, and the acceleration is constant, the average velocity can also be expressed as:

We Know that:

Replacing the values:

Answer: $244.83
Step-by-step explanation:
First find the original amount spent on dvds:
$12.95 * 4 = $51.80
Then, the sales tax (6.5% is converted to decimal form by dividing by 100):
$51.80 * 0.065 = $3.367
Add the sales tax to the original amount to get the total amount spent:
$51.80 + $3.367 = $55.167
Round to the nearest hundredth:
$55.167 -> $55.17
Subtract the total amount from the money received for his birthday:
$300 - $55.17 = $244.83