3/8+5/16
=3/8+5/16
=6/16+5/16
=6+5/16
=11/16
(Decimal: 0.6875)
Answer: 2.11cm
Step-by-step explanation:
Given the following :
The lengths of the parallel sides are (2z + 3) cm and (6z – 1) cm
The area of trapezoid is calculated using the formula:
1/2(a + b) × h
Where ;
a = Length of side 1
b = length of side 2
h = height
Take a = (2z + 3) and b = (6z – 1), h = z
Therefore ;
1/2 (2z + 3 + 6z - 1) × z
Opening the bracket
(z + 1.5 + 3z - 0.5) × z
(4z + 1 ) × z = 20cm^2
4z^2 + z = 20cm^2
Using Quadratic formula:
4z^2 + z - 20 = 0
a = 4, b = 1, c = - 20
(-b±√b^2 -4ac) / 2a
Z = 2.11 or - 2.364
z cannot be negative, therefore,
Z = 2.11 cm
Mr. chang paid the least because 10% off 25 is more than 20%off 30
Equation of a circle is:
<span>(x−h<span>)2</span>+(y−k<span>)2</span>=<span>r2</span></span>
h is the x-coordinate of the center and k is the y-coordinate of the center. Even though the formula has minus signs, those are positive numbers. If there were plus signs in there, the numbers h and k would actually be negative. Now since you're centered at the origin, that means h and k are 0, so you'd just have this:
<span><span>x2</span>+<span>y2</span>=<span>r2</span></span><span>
Now since your radius is 7, just square it and replace r^2 woth that value :)</span>
900 x 8= 7200 is your answer
