Answer:
Step-by-step explanation:
Let us assume that both prisms are similar, so we can use proportions to solve for the volume of prism made by triangle XYZ.
Let us find the proportion between the sides of both triangles.
Since for volume of triangular prism we multiply base area and height of the prism, this means we will have to multiply the proportion of each side length 3 times to find the proportion of volumes between our both prism.
So we can set proportion for volume of both prisms as:
Upon substituting volume of prism made by triangle PQR we will get,
Let us multiply both sides of our equation by 7776 cubic inches.
Therefore, the volume of prism made by triangle XYZ is 2304 cubic inches.
Answer:
Its D
Step-by-step explanation:
x = 1
x = -1
x= 0.0000 - 3.0000 i
x= 0.0000 + 3.0000 i
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2". 4 more similar replacement(s).
Step by step solution :
Step 1 :
Equation at the end of step 1 :
((((((x6)-(2•(x5)))+(9•(x4)))-24x3)-x2)+18x)-9 = 0
Step 2 :
Equation at the end of step 2 :
(x6)-(2•(x5)+(32x4)-24x3)-x2)+18x)-9 = 0
Step 3 :
Equation at the end of step 3 :
(x6)-2x5)+32x4)-24x3)-x2)+18x)-9 = 0
Answer:
V1 = 60 km/h
V2 = 40 Km/h
Step-by-step explanation:
The speed of an object is defined as
Speed = distance / time
Let
V1 be the speed of the faster car
V2 be the speed of the other car
t1 the time it took for the first car to arrive
t2 the time it took for the second car to arrive
d1 the distance traveled by first car
d2 the distance traveled by second car
We know thanks to the problem that
V1 = V2 + 20 Km/h
t1 = t2 - 1 hour
d1 = d2 = 120 Km
d1 = V1 * t1
d2 = V2* t2
V1 * t1 = V2* t2
V1* t1 = (V1 -20)*(t1 +1)
The system of equations
(V1 -20)*(t1 +1) = 120
V1 * t1 = 120
120 + (120/t1) -20*t1 = 140
(120/t1) -20*t1 = 20
Which gives,
t1 = 2
This means
V1 = 60 km/h
V2 = V1 - 20 Km/h = 40 Km/h
Answer:
In case of data set given with the question, the word that best describes the degree of overlap between the two data sets is low.
Step-by-step explanation:
Overlapping of two data sets means they contain common data or they have common elements in them.
In case of given data set, the elements are represented by 'x'.
If we compare both, the elements at line 30 and 35 overlap.
We conclude that out of 15 elements in each data set, only two of them overlaps. Hence the degree of overlap is low.
