Answer:
a) Figure attached
b)
Step-by-step explanation:
Part a
See the figure attached.
Part b
For this case first we need to find the vectors of velocity for the boat and the wind like this:
And now if we want to find the resulting velocity we just need to add the vector:
And the resultant magnitude would be:
And if we want the resultant angle we can do this:
<h2>
Answer:</h2>
<em> The side of the triangle is either 38.63ft or 10.35ft</em>
<h2>
Step-by-step explanation:</h2>
This problem can be translated as an image as shown in the Figure below. We know that:
- The side of the square is 10 ft.
- One of the vertices of an equilateral triangle is on the vertex of a square.
- Two other vertices are on the not adjacent sides of the same square.
Let's call:
Since the given triangle is equilateral, each side measures the same length. So:
x: The side of the equilateral triangle (Triangle 1)
y: A side of another triangle called Triangle 2.
That length is the hypotenuse of other triangle called Triangle 2. Therefore, by Pythagorean theorem:
We have another triangle, called Triangle 3, and given that the side of the square is 10ft, then it is true that:
Therefore, for Triangle 3, we have that by Pythagorean theorem:
Matching equations (1) and (2):
Using quadratic formula:
Finding x from (1):
<em>Finally, the side of the triangle is either 38.63ft or 10.35ft</em>
Answer:
The perfect square ( x -1 )² = 2
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given equation x² - 2 x = 1
⇒ x² - 2 x + 1 -1 = 1
⇒ x² - 2x + 1² = 1 +1
⇒ ( x -1 )² = 2
0.7 / 100 = 0.007 or 0.007 x 100 = 0.7 hope this helps