Area is equal to length x height. Let us say that the height of the book is x, and then the length would be x-2.
Area = length x height
15 = (x-2)x
15= x^2 - 2x
0= x^2 -2x -15
x = 5
So the length would be (5-2)=3, and the height would be 5.
The overall perimeter would be 2xlength +2xheight so 6+10=16.
Answer:
Step-by-step explanation:
1) When the sector is cut out, the remaining sector would be used to form the cone. The angle subtended by this sector would be
360 - 60 = 300°
The length of the arc of this sector would represent the circumference of the circular base of the conical hat.
Radius of the circle = diameter/2 = 20/2 = 10 inches
Formula for length of arc = #/360 × 2πr
Where
# is the subtended angle
Therefore,
Length of arc = 300/360 × 2 × 3.14 × 10 = 52.3 inches
circumference of the circular base of the conical hat = 52.3 inches
2) the surface area = πrl
Where
l represents the slant height
the radius of the circle would become l.
To determine the radius of the cone, we would apply, we would make use of the circumference of the circular base.
Circumference = 2πr
52.3 = 2 × 3.14 × r
r = 52.3/6.28 = 8.33 inches
Surface area = 3.14 × 8.33 × 10 = 262 inches²
Answer:
7+8=15
Step-by-step explanation:
5.3 is one rational number between 5.2 and 5.5.
It is a rational because it can be written as a fraction a/b where a and b are integers ( not = 0):-
5.3 = 53/100.
