The Solution to the problem of the rectangle is given below
For Part A:
- equation model: (14 + w) * (w +8) = 132
- Length = 15
For Part B
Meaning of Perimeter
The perimeter of any shape can be defined as the total sum of the sides of the shape.
<h3>Analysis</h3>
For Part A
equation model= (14 + w) * (w +8) = 135
14w + 112 + 8w +
= 135
+ 22w - 23 = 0
solving the quadratic equation
w = -23 or 1
Because we are dealing with a physical quantity we will make use of the value 1
lenght of original rectangle = 10 + 1 = 11
Part B
Perimeter= 2(length) * 2 (breadth) = 2(11 + 4) * 2 (1 + 8)
Perimeter = 48
In conclusion, The Solution to the problem of the rectangle is given above.
Learn more about Perimeter: brainly.com/question/19819849
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Answer:
Step-by-step explanation:
Given y = coskt
y' = -ksinkt
y'' = -k²coskt
Substitute this y'' into the expression 25y'' = −16y
25(-k²coskt) = -16(coskt)
25k²coskt = 16(coskt)
25k² = 16
k² = 16/25
k = ±√16/25
k = ±4/5
b) from the DE 25y'' = −16y
Rearrange
25y''+16y = 0
Expressing using auxiliary equation
25m² + 16 = 0
25m² = -16
m² = -16/25
m = ±4/5 I
m = 0+4/5 I
Since the auxiliary root is complex number
The solution to the DE will be expressed as;
y = Asinmt + Bsinmt
Since k = m
y = Asinkt+Bsinkt where A and B are constants
C because the line is going down, defending, but it has not hit the bottom line, which is 0 height.
Answer:
3.6
Step-by-step explanation:
Divide 2/5 by 1/9 which is the same as multiplying 2/5 by 9/1
we then get 18/5 = 3.6
So, Joe has eaten 3.6 times more pizza than Jane
Hope that is the right answer !?
Answer:
b. Because the probability of being 15 or more correct is 0.0207, it is likely that she is just guessing at the questions.
Step-by-step explanation:
-This is a binomial probability distribution with p=0.5, n=20 and x=15.
The function is expressed as:

We calculate the probability of guessing 15 or more correctly:

The probability of passing, guessing 15+ correctly, is 0.0207. This probability is very low and it is it is likely that she is just guessing at the questions