Let width and length be x and y respectively.
Perimeter (32in) =2x+2y=> 16=x+y => y=16-x
Area, A = xy = x(16-x) = 16x-x^2
The function to maximize is area: A=16 x-x^2
For maximum area, the first derivative of A =0 => A'=16-2x =0
Solving for x: 16-2x=0 =>2x=16 => x=8 in
And therefore, y=16-8 = 8 in
Answer:
3/16 or 0.1875
Step-by-step explanation:
Since she remembers the first two digits, she only has to guess the last two digits. If both digits are greater than 5, there are 4 possible alternatives for each digit (6, 7, 8 or 9).
In three tries, the probability that she will get it right is:
The probability she will get access to her account is 3/16 or 0.1875.
Answer:
B. 1,486 metres
Step-by-step explanation:
Find the area of the triangle.
60 x 60 = 3600
3600 ÷ 2 = 1800
Area of triangle = 1800 metres
Area of unshaded circle is approximately 314 metres square using pi
1800 - 314 = 1486
1486 metres square is the approximate area of the shaded region.
Answer:
60-32i
Step-by-step explanation:
(8-2i)^2=8^2-2.8.2i+(2i)^2
=64-32i+4i^2
=64-32i-4
=60-32i
Answer:
a and c
Step-by-step explanation:
a: when you divide 12:14 by 2 itll give you half of each number. that equals 6:7
c: when you multiply 12:14 by 2 itll give you twice the amount which is 24:28
