Yes - they have to be similar. Since they are using the same line as the hypotenuse, the ratio of the other two sides are in the same ratio (ie, the slope of the line), the 3 inner angles will be the same. Thus, the triangles will be similar.
Answer:
We are given the correlation between height and weight for adults is 0.40.
We need to find the proportion of the variability in weight that can be explained by the relationship with height.
We know that coefficient of determination or R-square measures the proportion or percent of variability in dependent variable that can be explained by the relationship with independent variable. There the coefficient of determination is given below:

Therefore, the 0.16 or 16% of the variability in weight can be explained by the relationship with height
Answer:

Step-by-step explanation:
We have the cone and the half-sphere.
The formula of a volume of a cone:

r - radius
H - height
We have r = 7cm and H = (22-7)cm=15cm. Substitute:

The formula of a volume of a sphere:

R - radius
Therefore the formula of a volume of a half-sphere:

We have R = 7cm. Substitute:

The volume of the given shape:

Substitute:

10) 7(2m+3)
11) 3(3r-1)
12) 2p(5q+4)
The volume of the shaded region is 1650 cubic feet.