Answer-So the dimensions of the rectangle are width is 4 m and length is 11 m
Step-by-step explanation:
Equation for Perimeter of a rectangle: Perimeter = 2W + 2L
Defining the variables, let
Width = x
Length = 2x+3 (3 more than twice the width)
Plugging everything into the equation
30= 2(x) + 2(2x+3) using the distributive property,
30=2x+4x+6 combining like terms
30=6x+6 subtracting 6 from both sides,
24=6x divide both sides by 6
4=x This means that the width is 4 m
To get the length, use the expression L=2x+3 and plug in x = 4 that was already solved for
L=2(4)+3
L=8+3 = 11 m
So the dimensions of the rectangle are width is 4 m and length is 11 m
By the angle bisector theorem, one of the lengths of the third side of the triangle is given by:
1.5 / 1 = x / 2.6
x = 1.5 x 2.6 = 3.9
One of the possible length of the third side is 3.9 cm
The other possible length is given by 1 / 1.5 = x / 2.6
1.5x = 2.6
x = 2.6/1.5 = 1.7
The other possible length of the third side is 1.7 cm.
Answer:
3
Step-by-step explanation:
The surface area of a sphere is π x 4 x radius²
so let the radius be r
π x 4 x r² = 2122.64
r = 13 inches