3600 dollars is placed in an account with an annual interest rate of 5.5%. To the nearest year, how long will it take for the ac
1 answer:
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<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 4th option is correct
Step-by-step explanation:
Original expression
Split up the exponent
The 1/9 of an expression is the same thing is the 9th root of the expression.
<u>Answer:</u>
y = 5x (x+2)
<u>Step-by-step explanation:</u>
We are given the following the quadratic function and we are to rewrite it in intercept or factored form:
We can factorize the given expression so taking the common factors out of it to get:
Therefore, the factored form of the given quadratic function is y = 5x (x+2).