Answer:
9.2 ft
Step-by-step explanation:
The shape is a triangle, the 11 ft is your hypotenuse
You need to use the Pythagorean Theorem!
a^2 + b^2 = c^2 (solve for a, the missing length that they ask for)
so --->
a^2 + (6^2) = 11^2
a^2 + 36 = 121
~subtract 36 to the right side~
a^2 = 85
now find the square root of 85:
a = 9.21954
round it to the nearest tenth:
a = 9.2
final answer: 9.2 ft
hope this helpsss
Answer:
option b
Step-by-step explanation:
you can't take out anything, not an x or a 2
Answer:
The population that gives the maximum sustainable yield is 45000 swordfishes.
The maximum sustainable yield is 202500 swordfishes.
Step-by-step explanation:
Let be 
, the maximum sustainable yield can be found by using first and second derivatives of the given function: (First and Second Derivative Tests)
First Derivative Test
Let equalize the resulting expression to zero and solve afterwards:
Second Derivative Test
This means that result on previous part leads to an absolute maximum.
The population that gives the maximum sustainable yield is 45000 swordfishes.
The maximum sustainable yield is:
The maximum sustainable yield is 202500 swordfishes.
Answer:
A -4 ≤ x ≤ -2
Step-by-step explanation:
The graph is constant where there is a flat, horizontal line. The graph is flat in the interval -4 ≤ x ≤ -2. This is where the graph will be constant. In all of the other parts of the graph, the y-values are changing. Since the line is flat, the y-value doesn't change.
Answer:
193 square inches to the nearest WHOLE NUMBER
Step-by-step explanation:
Given:
- perimeter : 53 inches
- apothem: 7.3 inches
As we know that, the formular to find the area of the regular pentagon is:
A = 1/2 × apothem × perimeter
In this situation, the area is:
A = 1/2 × 7.3 × 53
= 193.45
= 193 square inches to the nearest WHOLE NUMBER
