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The first one
Basically, we need to find the diagonal of the square. Once we have the diagonal, we need to find if it's more or less than 11 cm, which is diameter of the circle.
This is the formula we'll use:
a²+b²=c²
Since it's a square, a and b are the same.
7²+7²=c²
49+49=c²
98=c²
√98=c
c=9.8995
So, the diagonal is 9.8995
9.8995<11
So, since the diagonal of the square is 9.8995 cm, it is less than the circumference of the circle meaning that it will fit in to the circle without touch the circle's circumference.
Let us say that:
a = black kittens
b = white kittens
We know that:
a = 5 b
a + b = 25
Therefore:
5 b + b = 25
6 b = 25
b = 4.17
But we cannot have a fraction value for the number of
kittens, so round off:
b = 4
So a is:
a = 25 – 4 = 21
<span>Hence Zoe counts additional 1 black kitten.</span>
Answer:
The simplest form is 1/r^7 + 1/s^12
Step-by-step explanation:
The given expression is r^-7+s^-12.
Notice that the exponents of both the base are negative
So, we will apply the rule which is:
a^-b = 1/a^b
Which means that to change the exponent into positive we will write it as a fraction:
r^-7+s^-12.
= 1/r^7 + 1/s^12..
Therefore the simplest form is 1/r^7 + 1/s^12....
Answer:
The increase is 1150.
11.5 times the original value, or 1150% of it. That's a big increase, and I would not buy that thing, whatever it is.
