Answer:
B) Hypotenuse = Leg ∙ √2
Step-by-step explanation:
This is a well-known ratio in the 45-45-90 right triangle, but we can derive it.
An isosceles right triangle has two congruent legs forming the right angle and the hypotenuse opposite the right angle. The Pythagorean theorem works since it is a right angle.
Normally, the legs are a and b, and the hypotenuse is c, and we have
a^2 + b^2 = c^2
Here the legs are congruent, so we have a = b.
Substituting a for b, we have
a^2 + a^2 = c^2
2a^2 = c^2
c^2 = 2a^2
c = a√2
Answer: B) Hypotenuse = Leg ∙ √2
80x3/8=10 common factor. 10x5. And 10x3
50/30
30 boys
50 girls
Answer:
The correct option is C) r=-0.80
Step-by-step explanation:
Consider the provided information.
Properties of r in a scatter plot:
The value of r is between -1 and +1.
If the value of r is positive then it associated with positive relationship if the value of r is negative it associated with negative value.
The greater value of r would be closely around a straight line(Regardless of sign).
Now consider the provided relation.
The use of regression line is to minimize the distance between projections and real values.
Correlation is inversely proportional to difference between predicted values and actual values.
So for good fit we just need to look for the highest value of r regardless of the sign.
From the provided options the highest value of r=-0.80
Thus, the correct option is C) r=-0.80
He needs to measure out 8 times because there are 2 scoops in each batch and 4 times 2 is 8.
Hope this helps!!
Multiplying the first equation and multiplying it by -8/3 (to get rid of the x), we get -8y/9+7y= -64+8=-56. Therefore, -56/(-8/9+7)=y and 8- 7(-56/(-8/9+7))=x by plugging it into the second equation
