ANSWER

EXPLANATION
Let R be the radius of the bigger circle and r, be the radius of the smaller circle.
Then their ratio is given as,

We can rewrite it as fractions to get,

We make R the subject to get,

The area of the bigger circle can be found using the formula,

This implies that,


But it was given in the question that, the area of the bigger circle is 27π.

We divide through by 9π to get,

This means that,

The area of the smaller circle is therefore

Answer and Step-by-step explanation:
First, you create an expression that equals the perimeter of the shape.
5r + 2s + 3r + 2s + 5r + 2s + 3r + 2s
<u>Simplify</u>
16r + 8s
Now we look at the students' expressions.
I can see that Brain's expression is equivalent to perimeter of the shape. Do you know why?
It is because his answer is the un-distributive version of our answer.
He simply took out the common number that is in 16 and 8, which 8.
<u>So, Brian is correct.</u>
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<em><u>#teamtrees #PAW (Plant And Water)</u></em>
Answer:
20
Step-by-step explanation:
If 36 boys can conplete a task in 4 hours, then 19.35 boys could do it in 2 and a fourth hours.
You can set up an equation
A fourth of an hour is 15 minutes, so,
36 is to 4 as x is to 2.15, or,
36=4 as X=2.15
Multiply 2.15 by 36 (77.4)
77.4 divided by 4= 19.35.
Of course, you cannot have 19.35 boys, so there must be 20.
Hope this helps!
9514 1404 393
Answer:
a) (x +2)(x +3)
b) x = -2 or -3
Step-by-step explanation:
a) The constants in the binomial factors will be divisors of 6 that have a sum of 5. You know that ...
6 = 1×6 = 2×3
The sums of these factor pairs are 7 and 5. You want the pair 2, 3. The factors are ...
x² +5x +6 = (x +2)(x +3)
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b) The solutions to the equation are the values of x that make the factors zero:
(x +2) = 0 ⇒ x = -2
(x +3) = 0 ⇒ x = -3