Answer:
87.73 inches
Step-by-step explanation:
We are given that the dimensions of the rectangular doorway are,
Length = 6 ft 8 inches = 80 inches and Width = 3 feet = 36 inches.
Using Pythagoras Theorem, we will find the diagonal of the rectangular doorway.
i.e. 
i.e. 
i.e. 
i.e. 
i.e. Hypotenuse = ±87.73 inches
Since, the length cannot be negative.
So, the length of the diagonal is 87.73 inches.
As, the largest side of a rectangle is represented by the diagonal.
So, the largest dimension that will fit through the doorway without bending is 87.73 inches.
You would have to find a common denominator
Answer:
f(x) = x^3 - 2x^2 - x + 2
Step-by-step explanation:
since the zeroes are 1,-1, and 2. we can write the function like
f(x) = (x-1)(x+1)(x-2)
f(x) = (x^2-1)(x-2)
f(x) = x^3 -2x^2 -x +2
and it is true that f(0)=2
Answer:
8.2+/-0.25
= ( 7.95, 8.45) years
the 95% confidence interval (a,b) = (7.95, 8.45) years
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = 8.2 years
Standard deviation r = 1.1 years
Number of samples n = 75
Confidence interval = 95%
z value(at 95% confidence) = 1.96
Substituting the values we have;
8.2+/-1.96(1.1/√75)
8.2+/-1.96(0.127017059221)
8.2+/-0.248953436074
8.2+/-0.25
= ( 7.95, 8.45)
Therefore the 95% confidence interval (a,b) = (7.95, 8.45) years
The two options that are the possible first step to begin to simplify the equation are (c) Multiply both sides of the equation by –2. and (d). Distribute Negative one-half over (x + 4).
<h3>How to determine which two options are the possible first step to begin to simplify the equation?</h3>
The equation is given as:
Negative one-half (x + 4) = 6
Rewrite the above equation properly
So, we have
-1/2(x + 4) = 6
A possible first step is to multiply both sides of the equation -1/2(x + 4) = 6 by -2
So, we have
x + 4 = -12
Another possible first step is to distribute the expression -1/2(x + 4) in the equation
So, we have
-1/2x - 1/2 * 4 = 6
Hence, the two options that are the possible first step to begin to simplify the equation are (c) Multiply both sides of the equation by –2. and (d). Distribute Negative one-half over (x + 4).
Read more about equations at:
brainly.com/question/2972832
#SPJ1