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:
0.40951
Step-by-step explanation:
P(none in five years) = 1 - 0.1 = 0.9
P(at least one) = 1 - P(none in five years)
= 1 - 
= 1 - 0.59049
= 0.40951
So the probability of a hurricane hit at least once in the next 5 years is 0.40951
you first use distributive property for the multiplication
[(2*4x)-(2*11)]+9=19
8x-22+9=19
Then, you need to leave the variable alone moving all the other numbers with the opposite operation (addition to substraction, substraction to addition, multiplication to division, division to multiplication)
8x=19+22-9
8x=(19+22)-9
8x=41-9
8x=32
Then as 8 and x are multiplying you pass it dividing
x=32/8
x=4
To find the answer, you have to make a proportion. 210 out of 700, or 210/700 is equal to x/100. So, 210/700=x/100. Then to solve the proportion, you must cross multiply. 210 times 100 is 21,000. Then, you must divide 21,000 by 700, which is 30. The 30 represents 30/100, which is 30%
The answer is 30%.
