An irrational number is a type of number, not a specific number itself
Yes, the two rectangles are similar, because rectangle 2 is a dilation of rectangle 1.
<h3>
Are the two rectangles similar?</h3>
We know that rectangle 1 has dimensions L and W.
And rectangle 2 is made by multiplying the dimensions of rectangle 1 by a factor k > 0.
Then, rectangle 2 is just a dilation of rectangle 1, this means that in fact, the two rectangles are similar by definition.
Then:
Dimensions of rectangle 1:
- Length = L
- Width = W.
- Perimeter = 2*(W + L)
- Area = W*L
For rectangle 2:
- Length = k*L
- Width = k*W
- Perimeter = 2*(k*L + k*W) = k*(2*(L + W))
- Area = (k*L)*(k*W) = k²(L*W)
Above we can see that the perimeter of rectangle 2 is k times the perimeter of rectangle 1, and the area of rectangle 2 is k squared times the area of the rectangle 1.
If you want to learn more about similar figures:
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Answer:
3/10
Step-by-step explanation:
Answer:
11.2 i think so but you will write 11.2
We have that
[3/2,3/8,3/32,3/128,3/512]
the sum of the geometric sequence is [3/2+3/8+3/32+3/128+3/512]
=(1/512)*[256*3+64*3+16*3+4*3]
=(3/512)*[256+64+16+4]
=(3/512)*[340]
=(1020/512)
=255/128---------> 1.9922
the answer is
1.9922
another way to calculate it
<span>is through the following formula
</span>∑=ao*[(1-r<span>^n)/(1-r)]
</span>
where
ao---------> is the first term
r----------> is the common ratio<span> between terms
n----------> </span><span>is the number of terms
ao=1.5
r=1/4-----> 0.25
n=5
so
</span>∑=1.5*[(1-0.25^5)/(1-0.25)]-------------> 1.99