Answer:
<h2>Length is 17m and Breadth is also 17m</h2>
Step-by-step explanation:
The perimeter of a rectangle is expressed as 2(L+B) where;
L is the length and B is the breadth of the triangle.
P = 2(L+B)
68 = 2(L+B)
L+B = 68/2
L+B = 34
L = 34 - B ... 1
Area of the rectangle A = LB... 2
Substituting equation 1 into 2 will give;
A = (34-B)B
A = 34B-B²
To maximize the area of the triangle, dA/dB must be equal to zero i.e
dA/dB = 0
dA/dB = 34 - 2B = 0
34-2B = 0
2B = 34
Dividing both sides of the equation by 2 we will have;
B = 34/2
B = 17
Substituting B = 17 into equation 1 to get the length L
L = 34-17
L = 17m
This shows that the rectangle with maximum area is a square since L = B = 17m
The dimension of the rectangle is Length = 17m and Breadth = 17m
Answer: option C. Emily got 12 text messages, adn 5 were from Jasmine. The probability a text message is from Jasmine is 5/12.
Explanation:
All the other options are theoretical probabilities because they were determined using the equation:
probablity = number of positive events / total number of possible events.
While, experimental probabilities are determined from actual results of an experiment (test). That is what the option C. describes. It compares the number of times that she actually got a message (5) with the number of trials (12). It is not determined theoretically.
Answer:
see explanation
Step-by-step explanation:
since y is inversely proportional to x the equation relating them is
y = 
← k is the constant of proportionality
to find k use the given condition when y = 7, x = 9
k = yx = 7 × 9 = 63
y = 
← is the equation connecting them
when x = 21, then
y = 
= 3
Answer:
1. 9/16
2. 39/250
3. 12/15
Step-by-step explanation:
Last one: Use employee identification numbers to randomly select 200 employees.
It's the most random.
