Step-by-step explanation:
ok so first you can split the object into 2 different shapes like the first picture.
next you can start with shape labeled 1
and the perimeter of that would be 5+5+4+4 =14
so the perimeter is shape 1 is 14
the area would be5×4 which is 20
now shape 2 the perimeter of that would be 8+8+2+2 which is 20
the area would be 8×2 which would be 16
so then you add the are and perimeter of each shape together
p= 14+20=<em><u>3</u></em><em><u>4</u></em>
a= 20+16= <em><u>3</u></em><em><u>6</u></em>
Answer:
120/99 is the answer.
Step-by-step explanation:
It has a line over it means that after the point there are infinite numbers of 21.
•Multiply 1.212121... with 100
we get 121.212121...
•Subtract it with the original one
121.212121.. - 1.212121... = 120.000.. = 120
Write it as an equation :-
Let the fraction be x.
(100×x) - x = 120
100x-x = 120
or, 99x = 120
so, x = 120/99
Answer: x =
Step-by-step explanation:
-3x -2y = 10 Get x alone by add 2y to both sides
+2y +2y
-3x = 10 + 2y Divide both sides by -3
x = -10/3 - 2y/3
Answer:
Square base dimension = 15 inches
Maximum volume = 7200 inches^3
Step-by-step explanation:
V = x^2y ..... eq 1
Let the square base be x and the height y
Oversize formular is given by
Y + 4x = 92
Y= 92 - 4x .....eq 2
Put eq 2 into eq 1
V = x^2 ( 92 - 4x^3)
V= 92x^2 - 4x^3
Using derivatives
V= 184x - 12x^2
V'= 0 = 184x - 12x^2
X(184 -12x)
X=0
X = 184/12 = 15.33 approximately 15 inches
Maximum Volume = V= 92(15)^2 -5(15)^3
V= 92(225) - 4(3475)
V= 20700 - 13500
V= 7200 inches^3