Here's how to rewrite cos^4x tan^2x in the first power of cosine.
See the attached image.
First step, find the trigonometric identity of tan^2x.
Then simply everything until you only get cos x.
Remove all the exponents. Simplify.
It have more energy picking up more particles in less time
Answer:
The domain represents the time of motion of the meteor as it falls from 100 km height above the Earth's surface at a speed of 20 km
Step-by-step explanation:
The given parameters from the question are;
The elevation of the meteor above the Earth's surface = 100 km
The rate at which the meteor falls = 20 km per second
The 'x' values represent the time in seconds and the 'y' values represent the meteor's height
Therefore, we have;
y = 100 - 20·x
The domain of a function is the set of inputs to the function
Therefore, the domain represent the time it takes the meteor to reach the given 100 km height above the Earth's surface
At the start x = 0 seconds
On the Earth's surface, y = 0, therefore;
0 = 100 - 20·x
x = 100/20 = 5
When the meteor just touches the Earth's surface x = 5 seconds
Therefore, the domain is 0 ≤ x ≤ 5.
Answer: 29,113.2 km
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Circumference = 2 x π x radius
Replacing with the values given:
Earth's mean circumference = 2 π 6,371.0 = 40,030.2 km
Earth's moon mean circumference = 2 π 1,737,5= 10,917 km
Now, we have to subtract Earth's moon mean circumference to Earth's mean circumference:
40,030.2- 10,917 =29,113.2 km
Feel free to ask for more if needed or if you did not understand something.
