Answer:
x = 2 cm
y = 2 cm
A(max) = 4 cm²
Step-by-step explanation: See Annex
The right isosceles triangle has two 45° angles and the right angle.
tan 45° = 1 = x / 4 - y or x = 4 - y y = 4 - x
A(r) = x* y
Area of the rectangle as a function of x
A(x) = x * ( 4 - x ) A(x) = 4*x - x²
Tacking derivatives on both sides of the equation:
A´(x) = 4 - 2*x A´(x) = 0 4 - 2*x = 0
2*x = 4
x = 2 cm
And y = 4 - 2 = 2 cm
The rectangle of maximum area result to be a square of side 2 cm
A(max) = 2*2 = 4 cm²
To find out if A(x) has a maximum in the point x = 2
We get the second derivative
A´´(x) = -2 A´´(x) < 0 then A(x) has a maximum at x = 2
Answer:
(a) 
(c) 
Step-by-step explanation:
(a) To find verify the answer we need to multiplying the equation 
Thus, this statement is true.
(b) To find verify the answer we need to multiplying the equation 
Hence, the given statement is false.
(c) To find verify the answer we need to multiplying the equation 
Hence, the given statement is true.
(d) To find verify the answer we need to multiplying the equation
Hence, the given statement is false.
Answer:
Median: 89
Mean: 87.5
Step-by-step explanation:
86, 90, 93, 85, 79, 92
93, 85
93 + 85
178
178/2
89
86 + 90 + 93 + 85 + 79 + 92
525
525/6
87.5
Answer:
find using calculator yourself:))
Step-by-step explanation:
pi x r x r = pi x 88 x 88 = answer
Answer: 0.0064683053
I just used a calculator..
