Step-by-step explanation:
step 1. P(0, 1) -> P'(0, -1)
step 2. Q(0, 0) -> Q'(0, 0)
step 3. R(-2, 0) -> R'(2, 0)
The ARC cosine of .28 = 73.74 degrees
the sine of 73.74 degrees = .96
Jenny average swimming speed was 2.5 km/h, her average biking speed was 24 km/h and her average running speed was 12 km/h.
<h3>Speed</h3>
Speed is the ratio of total distance travelled to total time taken. It is given by:
Speed = distance / time
Let a represent the average swimming speed, b the average biking speed and c the average running speed.
Her average biking speed was 2 times her average running speed, hence:
Her average running speed was 8 times her average swimming speed. Hence:
Total distance of the triathlon was 55.5 kilometers. Hence:
a * 1 hour + b * 1.75 hour + c * 1 hour = 55.5 (3)
From equation 1, 2 and 3:
a = 2.5, b = 24, c = 12
Jenny average swimming speed was 2.5 km/h, her average biking speed was 24 km/h and her average running speed was 12 km/h.
Find out more on speed at: brainly.com/question/6504879
Answer:
42°
Step-by-step explanation:
For this problem, it may help you to draw it out to visualize it. You want to find the angle between the stream and road. Based on the description the triangle looks like this.
/ |
Stream(27) / | Road( 20)
/__|
Fence
You know the length of the road is 20, and the stream is 27. The angle can be found by using Cos∅=a/h. Adjacent to where the road and stream meet is the road, 20, and hypotenuse is the stream, 27.
So 20/27 = .74 = Cos∅
To find the angle ∅ use inverse cosine to get 42°.
Hope that helps and let me know if I did anything incorrectly!
For the answer to the question above, I'll provide a computation on my answer to give clarity and understanding to my answer.
<span>P(z> 0.64) = 1- P(z<0.64) </span>
<span>P(z<0.64) = .73891 </span>
<span>P(z> 0.64) = 1- 0.73891 =
So the answer to your question is
0.26109
I hope my answer helped you. Have a nice day!</span>
