The figure is the right triangle DEF.
In it, E is the 90° angle, D is the corner over E (this is, DE is the vertical segment or height from the base) and F is the corner to the right of E (f, is the angle and EF is the horizontal segment or base of the triangle).
Then EF is the adjacent leg to the angle f, DE is the opposite leg to the angle f, and DF is the hypotenuse of the triangle.
Given that the angle f is 45°, you know that the triangle is isosceles (45-45-90) and then the two legs have the same length and you can use Pytagorean theorem:
DF^2 = x^2 + x^2 = 2x^2 => x^2 = (DF)^2 / 2
Taking square roots from both sides:
=> x = DF / √2 = 22 / √2 = [22√2] / [(√2)(√2)] = [22√2] / 2 = 11√2
Remember, both legs have the same length.
Answer: 11√2
Answer: Choice A
Work Shown:
5% of $25 = 0.05*25 = 1.25
Rewrite it as y=6x-7/5
Flip the x and y
x=6y-7/5
Solve
5x=6y-7
5x+7=6y
5/6x+7/6=y
f^-1(x)=5/6x+7/6
Answer:
Answer/Step-by-step explanation: A. If a scatter plot shows an upward trend, it means there is a positive correlation between the x and y variables. That is, as one variable increases, the other also increases. The value of correlation coefficient, r, would be a positive value. Also, when the data points plotted are fairly far apart or moderately spread out along the line if best fit, the value of the correlation coefficient would be far from -1 but also far from 1. Therefore, if a computer software gives us a correlation coefficient of, r = 0.51, it is most likely an accurate value for the given data because it shows a positive correlation with data points moderately spread out and farther apart along the line of best fit. B. A scenario that can be written as a casual relationship for pumpkins picked can be: Number of pumpkins picked versus the amount of nutrient given per kg of fertilizer applied.
Step-b-step explanation:
