Answer:
There are 5 different sized paving stones that can have a volume of 360 in³.
Step-by-step explanation:
Volume = Area x height.
We are given;
volume; V = 360 in³
Height; h = 3 in
Thus, 360 = A x 3
A = 360/3 = 120 in²
This is the area of the base, so we need to find the number of different stones which have a base area of 120 in².
Let's list all the factors of 120 which are;
1,2,3,4,5,6,10,12,20,24,30,40,60,120
The question says we shouldn't use 1 or 2 in inches as length and width.
Leaving us with the remaining listed factors.
So the pair of factors that give and area of 120 are;
Size;
3 x 40
4 x 30
5 x 24
6 x 20
10 x 12
Thus, there are 5 different sized paving stones that can have a volume of 360.
Diagonal of a Rhombus are perpendicular & intersects in their middle point:
Assume the diagonals intersects in H
A(0,-8), B(1,-0), C(8,-4) & D(x, y) are the vertices of the rhombus and we have to calculate D(x, y)
Consider the diagonal AC. Find the coordinate (x₁, y₁) H, the middle of AC
Coordinate (x₁, y₁) of H, middle of A(0,-8), C(8,-4)
x₁ (0+8)/2 & y₁=(-8-4)/2 ==> H(4, -6)
Now let's calculate again the coordinate of H, middle of the diagonal BD
B(1,-0), D(x, y)
x value = (1+x)/2 & y value=(y+0)/2 ==> x= (1+x)/2 & y=y/2
(1+x)/2 & y/2 are the coordinate of the center H, already calculated, then:
H(4, -6) = [(1+x)/2 , y/2]==>(1+x)/2 =4 ==> x=7 & y/2 = -6 ==> y= -12
Hence the coordinates of the 4th vertex D(7, -12)
Answer:0.02miles per hour
Step-by-step explanation:
Multiply 43 by 60 that equals 2580 then divide 49 by 2580
12r-5 Lets multiply everything by 2 since we are given nothing to simplify
24r-10 now we have to make it equivalent to 12r-5
So all we will do is put it in a fraction bar
24r-10 is the numerator and 2 is the denominator
So the final result is: (24r-10)/2
Answer:
1
Step-by-step explanation:
The value of 1, is literaly just one in that number spot
