Answer:
<u>The correct answer is that the average speed of Usain Bolt in 2009 was 10.42 meters per second.</u>
Step-by-step explanation:
<u>1. Let's check the information given to resolve the question:
</u>
World Record time of Usain Bolt = 9 seconds 3/5
Distance = 100 meters
Find his average speed in meters per second
<u>2. Let's find the average speed of Usain Bolt in 2009:</u>
World Record time of Usain Bolt = 9 seconds 3/5 = 9.6 seconds (3/5 = 0.6)
World Record time of Usain Bolt = Distance / World Record time
World Record time of Usain Bolt = 100 meters /9.6 seconds
World Record time of Usain Bolt = 10.416666 meters per second
World Record time of Usain Bolt = 10.42 meters per second (Rounding to two decimal places)
<u>The correct answer is that the average speed of Usain Bolt in 2009 was 10.42 meters per second.</u>
With this problem, we have two right triangles meaning we will end up using the Pythagorean Theorem. For the sake of the problem, let's say the boat is at point D. The two triangles we have are ΔACD and ΔABD. Let's first go through and define the lines.
Let's start with ΔACD:
Port A is 24 miles from Port C so AC = 24mi. We will represent this as line a
Port C is 25 miles from Boat D so CD (the hypotenuse) = 25mi. We will represent this as line c
We do not know the distance between Port A and Boat D (AD also known as line b) so let's calculate that since we will need it at the end.
We can calculate line b's length using the theorem: a² + b² = c²
a = 24mi
b = ?
c = 25mi
So
(24)² + b² = (25)²
576 + b² = 625
Subtract 576 from both sides to isolate b²
576 + b² - 576 = 625 - 576
b² = 49
Now take the square root of both sides
√b² = √49
b = 7 miles.
Now we know that the distance between Port A and Boat D is 7 miles.
Now let's move on to ΔABD
Port B is 15 miles from Port A so AB = 15mi. We will represent this as line a
Boat D is 7 miles from Port A so AD = 7mi. This will still be line b
We do not know the distance between Port B and Boat D (BD also known as line c).
Time to use the Pythagorean Theorem once more!
a² + b² = c²
15² + 7² = c²
225 + 49 = c²
274 = c²
Take the square root of both sides
√274 = √c²
c ≈ 16.6mi when we round to the nearest tenth
So the distance between Port B and the boat is 16.6 miles
You can draw 12 apples. Then for every 6 apples, draw a circle around it. The answer is the number of circles you draw which in this case is 2.
Answer:
25.5 is the answer!!!!!!!!!!!!!