Answer:
o I = 4 cm, w = 9 cm, h = 3 cm
Step-by-step explanation:
The volume is given by V = l*w*h
w = 6 cm, I = 4,cm, h = 4 cm V= 6*4*4 = 96
o w = 7 cm, h = 3 cm, I = 5 cm V = 7*3*5 =105
o I = 4 cm, w = 9 cm, h = 3 cm V = 4*9*3 =108
o h = 5 cm, w = 6 cm, I = 3 cm V = 5*6*3 =90
The largest volume is
o I = 4 cm, w = 9 cm, h = 3 cm V = 4*9*3 =108
Answer:
The correlation coefficient is -1
Step-by-step explanation:
Here, we want to get the correlation coefficient for the given dataset
from the table, what do we observe?
As x is increasing by 5 units;
y is decreasing by 5 units
What this mean is that there is a negative correlation between both
Thus, what we have here is that, since the rate of increase/decrease on both ends is of equal magnitude but opposite signs, we can conclude that the correlation coefficient is -1
Answer:
The triangle's perimeter is 61.77 inches.
Step-by-step explanation:
Since an altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles, and as a result, the altitude cuts the base into two equal segments, and the length of the altitude is 26 inches, and the length of the base is 9 inches, to find the triangle's perimeter the following calculation must be performed:
Isosceles triangle = 2 equal sides
To obtain the value of the sides, the Pythagorean theorem must be applied on the right triangle formed with the altitude.
(9/2) ^ 2 + 26 ^ 2 = X ^ 2
4.5 ^ 2 + 26 ^ 2 = X ^ 2
20.25 + 676 = X ^ 2
√ (20.25 + 676) = X
√696.25 = X
26.38 = X
26.3865 x 2 + 9 = X
52.77 + 9 = X
61.77 = X
Therefore, the triangle's perimeter is 61.77 inches.
In order to arrive at the answer, take the total (251) and subract it by 148. J = 103