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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Check the picture below.
make sure your calculator is in Degree mode, since the angles are in degrees.
Answer:
The probability that an 18-year-old man selected at random is greater than 65 inches tall is 0.8413.
Step-by-step explanation:
We are given that the heights of 18-year-old men are approximately normally distributed with mean 68 inches and a standard deviation of 3 inches.
Let X = <u><em>heights of 18-year-old men.</em></u>
So, X ~ Normal()
The z-score probability distribution for the normal distribution is given by;
Z = ~ N(0,1)
where, = mean height = 68 inches
= standard deviation = 3 inches
Now, the probability that an 18-year-old man selected at random is greater than 65 inches tall is given by = P(X > 65 inches)
P(X > 65 inches) = P( > ) = P(Z > -1) = P(Z < 1)
= <u>0.8413</u>
The above probability is calculated by looking at the value of x = 1 in the z table which has an area of 0.8413.
I hope this helps you
x^2+2x+8=0
x^2+2x+1+7=0
(x+1)^2= -7
(x+1)^2= i^2.7
x+1= i.square root of 7
x=-1+ i.square root of 7
I think you could try adding up all the x and then divided