The length of the rectangle is = 72 cm
The width of the rectangle is = 56 cm
Area of the rectangle is = 
=
cm²
As given, the other rectangle has the same area as this one, but its width is 21 cm.
Let the length here be = x


Hence, length is 192 cm.
We can see that as width decreases, the length increases if area is constant and when length decreases then width increases if area is constant.
So, in the new rectangle,constant of variation=k is given by,
or 
Hence, the constant of variation is 
23 miles per hour is 2024 feet per minute
Alan goes at 1600 and Barry goes at 2024
So, Barry goes faster
Hope this helps!
Answer: option A is correct, we accept the null hypothesis.
Step-by-step explanation:
At a 5% level of significance, p = 0.05, therefore when p < 0.05, accept the null hypothesis (H°) and reject the alternative hypothesis (H¡). When p > 0.05, we reject the null hypothesis (H°) and accept the alternative hypothesis (H¡)
Given the p-value to be 0.008, this is less than the 5% threshold, that is, 0.05, hence we accept the null hypothesis.
Answer:
<C=48 because 90-42=42 as in the other side of the triangle.
<B=42 because vertical angles are always congruent.
<B+<D=90 because <D is 48 because it is vertical to <C