9x + 4= 5x + 20 (alternate interior angles)
9x-5x =20-4
4x = 16
x= 16/4
x= 4
A tetrahedron is a triangular pyramid. It has four triangular faces and four vertices.
In the question, we are told that the length of the edges are all equal = 20m and the length from one corner to the center of the base = 11.5m
We sketch a diagram of a tetrahedron with the given measurement as shown below
To find the height, we will use the Pythagoras theorem
20² = h² + 11.5²
h² = 20² - 11.5²
h² = 267.75
h = √267.75
h = 16.36 (rounded to two decimal places)
Answer:
90
Step-by-step explanation:
The sum of squares of the deviation from mean=sum(x-xbar)²=?
x
12
6
15
9
18
12
xbar=sumx/n
xbar=(12+6+15+9+18+12)/6=72/6=12
x x-xbar (x-xbar)²
12 12-12=0 0
6 6-12=-6 36
15 15-12=3 9
9 9-12=-3 9
18 18-12=6 36
12 12-12=0 0
sum(x-xbar)²=0+36+9+9+36+0=90
So, the sum of squares of the deviations from the mean is 90.
Since the only change is a plus 4 in side the parenthesis, the transformation is horizontal (since it is in the parenthesis). And we have to change the sign to get -4 which means the transformation is 4 units to the left.
Hope this helps
Answer:
-9
Step-by-step explanation:
Four consecutive odd integers be (2x - 3),(2x -1),(2x + 1),(2x + 3)
2x-3 + 2x - 1 +2x+1 + 2x+3 = -48
2x + 2x + 2x +2x - 3 - 1 + 3 + 1 = -48
8x = -48
x = -48/8
x = -6
Least of these integer = 2x + 3 = 2*(-6) + 3 = -12 + 3 = -9