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
6x-8=8x-10 then 2=2x which means x=1
Hey there!
a = 5 ; b = 2
Option A.
a + b
= 5 + 2
= 7
Option B.
a - b
= 5 - 2
= 3
Option C.
2a + 3b
= 2(5) + 3(2)
= 10 + 6
= 16
Option D.
5a - b
= 5(5) - 2
= 25 - 2
= 23
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Answer:
Imani
Step-by-step explanation:
It izz wat it izzzz!!!
:)
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