Answer:
see below
Step-by-step explanation:
1. 10/16=5/6
2.14/63=2/9
3.6/14= 3/7
4.6/24= 1/3
5.7/70=1/10
6.5/10=1/2
7. 9/27= 1/3
8.6/72=1/12
9.6/27=1/3
10. 14/35= 2/5
11.12/24= 1/2
12.5/40=1/8
13.36/40=9/10
14.28/35=4/5
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
Answer:
c. how late it is in the evening is a function of the length of time the shutter needs to stay open.
The reason you can only compare the numerators is because the denominators are the same- leaving little comparison to really make. The numerators will determine which fraction is greater or smaller.
Ex. 4/5 or 3/5
which is greater? Which is smaller?
It can be seen that the denominators are the same, now finally comparing the numerators will answer both questions.
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