Answer:
The percent increase in the perimeter is 337.5%
Step-by-step explanation:
The easiest way to approach this problem is by using consecutively the simple rule of three.
If the first triangle has sides of length two then, we can compute the second triangle's sides length as follows:
2 units------100%
X units------150%
this way
.
Now for the third triangle we repeat the same process
3 units------100%
X units------150%
getting that the length of the sides for the third triangle is
.
Now for the last triangle we repeat the same process
4.5 units------100%
X units------150%
getting that the length of the sides for the last triangle is
.
Now, we need to know the perimeter of the first and last triangle. This can be calculated as the sum of the length of the sides of the triangle.
For the first triangle

and for the last triangle
.
To compute the percent increase in the perimeter from the first to the fourth triangle we will use one last simple rule of three (this time the percentage will be the variable)
6 units------100%
20.25 units------X%
so
.
It will take 3 laps. 90*35=3150 1000 m = 1 km
Answer: The value of c would be 26.514 lb.
Step-by-step explanation:
Since we have given that
Mean = 17 lb
Standard deviation = 3.3 lb
At 99% level of significance, z = 2.58
So, it becomes,

So, the weight c would be

Hence, the value of c would be 26.514 lb.
Answer:
(1) The sum of the lengths of the edges of the cube is 36.
A cube has 12 equal edges. Sum = 36. Length of each edge = 36/12 = 3
Volume = 3*3*3 = 27
(2) The surface area of the cube is 54.
A cube has 6 identical faces. Area of each face = s^2 (s is the length of the side)
6s^2 = 54
s = 3
Volume = 3*3*3 = 27
Step-by-step explanation:
All you need to uniquely define a cube is any one measurement - length of a side/edge, area of a surface, volume etc. If you have any one of them, you can uniquely determine the others. So each statement alone is sufficient here.
To show how,
(1) The sum of the lengths of the edges of the cube is 36.
A cube has 12 equal edges. Sum = 36. Length of each edge = 36/12 = 3
Volume = 3*3*3 = 27
(2) The surface area of the cube is 54.
A cube has 6 identical faces. Area of each face = s^2 (s is the length of the side)
6s^2 = 54
s = 3
Volume = 3*3*3 = 27