Answer:
5.3 ft
Step-by-step explanation:
Because CD corresponds to BC, the scale factor from triangle ABC to triangle CDE, is 7/8. Now, DE corresponds to AB, so to get DE, we must multiply the value of AB by 7/8. 6 times 7/8 is 5.25, and rounding to the nearest tenth of a foot, the value of DE is 5.3.
Answer:
Option A
Step-by-step explanation:
Given that in a study of the relationship between geographical mobility (number of times a person has changed residences) and number of friends, Pearson's r^2 is reported as .40.
r square, being the coefficient of determination explains the variablity of one variable due to the variability of the other. Here Mobility explains 40% variation in the number of friends is right answer.
Option B is wrong because r = ±6324, so cannot say positive or negative.
Similarly option c is wrong because we are unsure whether negative correlation. Option d is wrong since 16% is not right .
Answer:
is the line are perpendicular then the product of there slope is -1
the slope of the first equation is 2
Step-by-step explanation:
m1+m2=-1
2+m2=-1
m2=-1-2
m2=-3
so the second equation became y=-3x+C
then insert the point (-1,2)
2=-3*-1+C
2=3+C
C=2-3
C=-1
so y=-3x-1
Answer:
Length=44feet
Width=12feet
Step-by-step explanation:
length:width=11:3
Perimeter=56feet
Sum of ratio=11+3
Sum of ratio=14
Length=11/14 x 56
Length=(11 x 56)/14
Length=616/14
Length=44feet
Width=3/14 x 56
Width=(3 x 56)/14
Width=168/14
Width=12feet
Answer:
Step-by-step explanation:The prism has 9 edges; the bases of the prism are triangles; and the prism has 5 faces.
Step-by-step explanation:
The bases of a prism are the faces that are parallel. In this prism, the only faces that are parallel are the two triangles. This means the bases are triangles.
In addition to the two parallel bases, there is a are three faces that join the sides of the bases. This makes a total of 2+3 = 5 faces.
The edges are where the faces meet. There are 3 edges around each base; this is 6. There are also 3 edges connecting the lateral faces; this makes 6+3 = 9 edges.
