Answer:
7
Step-by-step explanation:
Answer:
Not possible
Step-by-step explanation:
Given that
The area of the pen is 150 ft²
Assuming that the length of the pen is x, then the breadth of the pen will be 24 - x
Area = length * breadth
Area = x (24 - x)
Area = 24x - x²
24x - x² = 150
x² - 24x + 150 = 0
Using general quadratic formula, we have
[-b ± √(b² - 4ac)]/ 2a
Where
a = 1
b = -24
c = 150
On solving the equation, we get a number in the complex form of "i", and not a real number. As such, it's not possible for the 24 feet to enclose the area
<h3>
Answer: 7/10</h3>
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Explanation:
There are 30 days in April. Since it rained 9 of those days, the empirical probability of it raining in April is 9/30 = (3*3)/(3*10) = 3/10.
If we assume that the same conditions (ie weather patterns) hold for May, then the empirical probability of it raining in May is also 3/10. By "raining in May", I mean specifically raining on a certain day of that month.
The empirical probability of it not raining on the first of May is therefore...
1 - (probability it rains)
1 - (3/10)
(10/10) - (3/10)
(10-3)/10
7/10
We can think of it like if we had a 10 day period, and 3 of those days it rains while the remaining 7 it does not rain.
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
Because in an equilateral triangle all angles should measure 60 degrees otherwise all sides would not be equal.
