17. Area of triangle: 1/2bh
1/2 * 12 * 15
1/2 * 180
=90 cm^2
18. Area of trapezoid: 1/2 h (b1 + b2)
1/2 * 8 ( 12 + 15.4)
4 * 27.4
= 109.6 cm^2
Answer:
0.02 ; 2%
Step-by-step explanation:
Given :
Cost of item = $480
Tax amount on item = $9.60
The sales tax rate = tax amount on item / cost of item
Sales tax rate = $9.60 / $480 = 0.02
As a percentage :
0.02 * 100% = 2%
Answer:
Line BD is Congruent to Line BD due to the Reflexive property. Angle Bad is congruent to angle BCD because of the third angle theorem therefore triangle ABD is congruent to triangle CBD because all angles and sides are congruent
I don't know if that will satisfy your teacher because some prefer different things but that leaves no ground to be inferred and explains everything word for word.
26 inches. Technically, since this is a perimeter problem, you need to add each length to itself and then the others. If this is confusing, you essentially need to do 5+5+8+8=26 because you have two of the fives and two eights. Perimeter is much easier than area, I promise you that
Answer:
The width and length of rectangle is 12.728 m
Step-by-step explanation:
Let the length of the rectangle = L
let the width of the rectangle = W
The subjective function is given by;
F(p) = 2(L + W)
F = 2L + 2W
Area of the rectangle is given by;
A = LW
LW = 162 ft²
L = 162 / W
Substitute in the value of L into subjective function;
Take the second derivative of the function, to check if it will given a minimum perimeter
Determine the critical points of the first derivative;
df/dw = 0
L = 162 / 12.728
L = 12.728 m
Therefore, the width and length of rectangle is 12.728 m
