We know that
[perimeter of rectangle]=2*(<span>length+width)
</span>
Let
x-----------> length
y-----------> width
so
P=2*(x+y)-----------> 244=2*(x+y)-----> x+y=122-------> y=122-x
Area=x*y-------> x*(122-x)----> 122x-x²
find the derivative function and equals to zero
122-2x=0-----> 122=2x----------> x=61 m
y=122-x------> y=122-61---------> y=61 m
<span>the maximum area is given by a square
</span>
the answer is
is a square of side 61 m
From the question, we know the population standard deviation, σ = 1.63, the sample standard deviation, s = 3.07, the sample mean,
and the sample size, n = 38.
The question illustrates a hypothesis chi-square test of variance.
The test statistics for a Chi-squared test of variance is given by
AAS is your answer because you have 30 and 70 degrees next to each other and they are both angels and then 10 which is a side
You would use AAS because that’s the pattern or your triangle
I’m pretty sure it’s B and C but I might be wrong, hope this helps!
Answer:
Option A. ∠C and ∠C'' are congruent after both the translation and the dilation
Step-by-step explanation:
we know that
The translation is a rigid transformation. After the translation the image and the pre-image are congruent
The dilation is a non rigid transformation. After the dilation the image and the pre-image are similar
Remember that
If two figures are similar, then its corresponding angles are congruent and the ratio of its corresponding sides is proportional
If two figures are congruent, then its corresponding angles and corresponding sides are congruent
therefore
∠C and ∠C'' are congruent after both the translation and the dilation
