The slope of the red line that is perpendicular to the green line is: -5/2.
<h3>What are the Slope Values of Perpendicular Lines?</h3>
When one line lies perpendicular to another line, the slope of one must be the negative reciprocal of the other line.
<h3>What is the Negative Reciprocal of a Number?</h3>
If given a number, i.e. a/b, the negative reciprocal of a/b would the opposite value of the reciprocal of a/b.
Reciprocal of a/b is b/a. Negative reciprocal of a/b would therefore be: -b/a.
Given that the slope of the green line is: 2/5. And it is perpendicular to the red line. The slope of the red line would be the negative reciprocal of 2/5.
Negative reciprocal of 2/5 is -5/2.
Therefore, the slope of the red line is: -5/2.
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The answer is 7/5. I attached the work below.
Answer: 1,811 square foot
Step-by-step explanation:
Hi, to answer this question we have to solve the equation given, by substituting P = 4,148 and f=190 in the equation.
P = 1.85s + 4.2f
4,148 = 1.85s +4.2 (190)
Solving for s:
4,148 = 1.85s +798
4,148-798 =1.85s
3,350 = 1.85s
3,350/1.85 =s
s = 1,810.81 = 1,811 square foot (rounded)
Feel free to ask for more if needed or if you did not understand something.
Answer:
14,1 cm
Step-by-step explanation:
If a circle passes through the vertices of a square then the diagonal of a square is a circle diameter.
We use Pytagoras Theorem to find out the length (L) of the diagonal given that:
L² = (20)² + (20)²
L² = 2* (20)²
L = √2 * 20
L = 1,4142* 20
L = 28,28 cm
L diagonal in the square is a diameter of the circle then radius of a circle is:
r = L/2 ⇒ r = 28,28 /2 ⇒ r = 14,14 cm
Just Half it down the middle.
