Answer:
see below
Step-by-step explanation:
d = t^2
t =0
d = 0^2 = 0
t =3
d = 3^2 = 9
t =5
d = 5^2 = 25
Answer: 180 degrees
Step-by-step explanation:
A rotation of 180 degrees about the origin maps
.
Answer:
0.6
Step-by-step explanation:
We can get the answer by subtracting the decimal by one.
2/5 = 0.4
1 - 0.4 = 0.6
Answer:
18" X 18" X 36"
Step-by-step explanation:
Given a square base container of height h, let a side of the base =s
The volume of the container,
If the sum of its height and girth (the perimeter of its base) equals 108 in

Substituting h=108-4s into V

We are required to determine the maximum volume of such container, first we take the derivative:

Optimizing:

Recall that: h = 108-4s

The dimensions of the carton are 18" X 18" X 36".
Answer:
x = 31
Step-by-step explanation:
Given:
MN = 20
PQ = x
RS = 42
Required:
Value of x
SOLUTION:
In a trapezoid, the midsegment length equals the sum of both bases divided by 2
This implies that:
PQ = ½(MN + RS)
Plug in the values
x = ½(20 + 42)
x = ½(62)
x = 31