50mph
Step-by-step explanation:
The image of the motion of Paul's derive is attached already.
From the line graph we can obtain a lot of information that will help us unravel the average speed of Paul within the given time frame.
What is average speed?
Average speed is the rate of change of total distance covered with time taken .
Average speed =
To find the total distance covered;
Distance at time 1 = 75miles
Distance at time 4 = 225miles
Distance covered between 1 - 4 = 225 - 75 = 150miles
Time taken for the journey = 4 - 1 = 3hrs
Input the values in the equation;
Average speed = = 50mph
learn more:
Speed and motion brainly.com/question/10048445
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Answer:
Angela, a proportion is two equal ratios, kinda like 3/4 = 6/8.
If we call the number of cars c, then our proportion is 3/10 = c/100.
Cross multiplying, we get 10c = 300.
Dividing both sides by 10, c = 30.
Answer:
20
Step-by-step explanation:
I did it before
Just divide 18 by 20 , so its 0.9
Answer:
See below.
Step-by-step explanation:
We make use of the double angle formula :
cos 2θ = 2 cos^2θ - 1.
8cos^4(θ) = 3 + 4cos(2θ) + cos(4θ)
8cos^4(θ) = 3 + 4(2cos^2θ - 1) + cos(4θ)
8cos^4(θ) = 3 + 8cos^2θ - 4 + cos(4θ)
8cos^4(θ) = 8cos^2 θ - 1 + cos(4θ)
8cos^4(θ) = 8cos^2 θ - 1 + 2cos^2 2θ - 1
8cos^4(θ) = 2(4cos^2 θ + cos^2 2θ - 1)
4cos^4(θ) = 4cos^2 θ + cos^2 2θ - 1
4cos^4(θ) = 4cos^2 θ + (2 cos^2 θ - 1)^2- 1
4cos^4(θ) = 4cos^2 θ + 4cos^4 θ - 4cos^2θ + 1 - 1
4 cos^4 θ = 4 cos^4 θ.
- Verified.
Phew!! That was a long one.