<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:
D or the 4th answer choice.
Step-by-step explanation:
Put simply, id f(x) equals x, and g(x) is shown three points above f(x) the answer is D or the 4th answer choice.
Answer:
$6.16
Step-by-step explanation:
Total amount paid = $107.78
Total time worked = 3 and half hours for 5 days
Amount earned per hour
Answer:
x=0 x=4
Step-by-step explanation:
5x^2 – 20x = 0
Factor out 5x
5x( x-4) =0
Using the zero product property
5x =0 x-4 =0
x=0 x=4