Answer:
Step-by-step explanation:
Let the one of the side lengths of the rectangle be 
and the other be 
.
We can write the following equations, where will be the side opposite to the wall:
From the first equation, we can isolate 
and substitute into the second equation:
Therefore, the parabola 
denotes the area of this rectangular enclosure. The maximum area possible will occur at the vertex of this parabola.
The x-coordinate of the vertex of a parabola in standard form 
is given by 
.
Therefore, the vertex is:
Plug in 
to the equation to get the y-coordinate:
Thus the vertex of the parabola is at 
. This tells us the following:
- The maximum area occurs when one side (y) of the rectangle is equal to 25
- The maximum area of the enclosure is 1,250 square meters
- The other dimension, from
, must be 
And therefore, the desired answers are:
Answer:
the answer is 30 dollars
Step-by-step explanation:
3x8 is 24 and 24 plus 6 is 30.
Vertical angles are equal
4x = 45 + 15
4x = 60
x = 60/4
x = 15
Answer:
13.5 inches
Step-by-step explanation:
3inches:10 miles
x inches: 45 miles
do cross multiply:
3*45=135
10*x=10x
so 135=10x
x=13.5 inches
Answer:
If a polygon is convex, then the sum of the measures of the exterior angles, one at each vertex, is 360° .
Consider the sum of the measures of the exterior angles for an n -gon.
N=180n−180(n−2)
Distribute 180 .
N=180n−180n+360 =360.
Step-by-step explanation:
