Answer:
Step-by-step explanation:
hello :
yn = 12n-1
the 15th term is :y15 when x= 15
y15 = 12(15)-1
y15 = 179
Answer:
f = 10, g = 4.8 cm
Step-by-step explanation:
Area of ABCE = 60 cm²
Area of ABCD = 48 cm²
So,
Area of ADE = 60-48
=> 12 cm²
Area of ADE = 
<u><em>Where Area = 12 cm², Base = 4 cm</em></u>
12 = 
Height = 12-2
Height = 10 cm
Where Height is AD
So, AD = 10 cm
Also, <u><em>AD is parallel and equal to BC</em></u>
<u><em></em></u>
So,
f = 10 cm
<u><em>Now, Finding g</em></u>
Area of ABCD = 
<u><em>Where Area = 48 cm², Base = 10 cm</em></u>
48 = 10 * Height
Height = 48/10
Height = 4.8 cm
Whereas, Height is g
So, g = 4.8 cm
Let the lengths of the sides of the rectangle be x and y. Then A(Area) = xy and 2(x+y)=300. You can use substitution to make one equation that gives A in terms of either x or y instead of both.
2(x+y) = 300
x+y = 150
y = 150-x
A=x(150-x) <--(substitution)
The resulting equation is a quadratic equation that is concave down, so it has an absolute maximum. The x value of this maximum is going to be halfway between the zeroes of the function. The zeroes of the function can be found by setting A equal to 0:
0=x(150-x)
x=0, 150
So halfway between the zeroes is 75. Plug this into the quadratic equation to find the maximum area.
A=75(150-75)
A=75*75
A=5625
So the maximum area that can be enclosed is 5625 square feet.
Answer:
(a)i. Area=72 square feet
ii. Perimeter =34 feet
(b) Baseboard - perimeter
Carpet - area
Step-by-step explanation:
The room is 9ft x 8ft, therefore it is rectangular shaped.
Length=9ft; Breadth=8ft
(a)i. Area of a Rectangle= Length X Breadth
Area of the room=8X9=72 square feet
ii. Perimeter of a Rectangle=2(Length+Breadth)
Perimeter of the room=2(8+9)=2 X 17 =34 feet
(b) A baseboard goes around the edge or boundary of the room, so it has to do with perimeter
A carpet covers the entire floor so it has to do with the area of the room.
