Length= 40cm
Breadth= 22cm
Perimeter of the rectangle= Length of the wire
=2(l+b)= 2(40cm + 22cm)
=2\times62cm = 124cm
Now, the wire is rebent into a square.
Perimeter= 124cm
4\times side=124
Therefore side= \frac{124}{4}cm= 31cm
So, the measure of each side= 31cm
Area of rectangular shape= l\times b
=40cm\times22cm
=880cm^2
Area of a square shape= \left(Side\right)^2
=\left(31\right)^2=961cm^2
Since 961cm^2\ >\ 880cm^2
Hence, the square encloses more area.
Answer:
Distance between the observer and the red car is 
Step-by-step explanation:
Diameter of field = 500 m
Radius of field =
Let R be the radius and the speed at which the car completes race be w
So,
Car finished 5 laps in minutes = 30
Car finished 1 lap in minutes = 
So, 
Refer the attached figure
Angle between car and observer = wt
So, Distance between the observer and the red car is give as A sin wt
So, Distance between the observer and the red car=
The correct answer's are:
sin(L) = 4/5
cos(L) = 3/5
tan(L) = 4/3
To solve for the confidence interval for the true average
percentage elongation, we use the z statistic. The formula for confidence
interval is given as:
Confidence interval = x ± z σ / sqrt (n)
where,
x = the sample mean = 8.63
σ = sample standard deviation = 0.79
n = number of samples = 56
From the standard distribution tables, the value of z at
95% confidence interval is:
z = 1.96
Therefore substituting the known values into the
equation:
Confidence interval = 8.63 ± (1.96) (0.79) / sqrt (56)
Confidence interval = 8.63 ± 0.207
Confidence interval = 8.42, 8.84
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Step-by-step explanation:
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