Answer: Average speed of boat = 32mph
Step-by-step explanation: Full question: 5 hours 20mins. Find the average speed of the boat
Let average speed of boat be mph
Let time to travel downstream = 80/(x + 8 )
Let time to travel upstream = 80/( x - 8)
Total time = 51/3 hrs=16/3 hrs
80/(x +8) +80/(x-8) = 16/3
Multiply both sides with3(×+8)(x-8)
(X+8)(x-8) = (x+8)(x-8)/16
15(2x)=x^2-64
X^2 -30x - 64 =0
Factorizing,you get
(x - 32)(x + 2) => ×=32 or x= -2
x = 32mph
Answer:
T = 20
min = 1
max = 0
Step-by-step explanation:
In the first image, the period is calculated by measuring the distance on the x-axis that it takes for the function to complete a cycle.
The attached image shows a way to measure the period, marking the distance from x = 0 until the wave completes the rise and fall cycle at x = 20.
Therefore the period is 20.
In the second image it can be seen that the lowest peak of the function is y = 1. The function is never less than y = 1. Therefore, that value is the minimum.
In the third image it can be seen that the maximum value of the function is y = 0. Since it is the maximum value that reaches the top peak
The value of x in the given diagram is 10
<h3>Similar triangles </h3>
From the question, we are to determine the value of the side labeled x
First, we will find the value of side |BC|
By the <em>Pythagorean theorem</em>, we can write that
|BC|² = 12² + 16²
|BC|² = 144 + 256
|BC|² = 400
|BC| = √400
|BC| = 20
Now,
Since ΔABC and ΔDEF are similar, we can write that
|BC| / |EF| = P ΔABC / P ΔDEF
But,
P ΔABC = 12 + 16 + 20 = 48
Thus,
|BC| / |EF| = P ΔABC / P ΔDEF becomes
20/ |EF| = 48/24
20/x = 2
x = 20/2
x = 10
Hence, the value of x in the given diagram is 10
Learn more on Similar triangles here: brainly.com/question/24085502
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