Log_3(x(x + 24) = 4
log_3(x^2 + 24x) = 4
3^4 = (x^2 + 24x)
81 = x^2 + 24x
x^2 + 24x - 81 = 0
Continue from here.
Answer:
86 cm²
Step-by-step explanation:
Ok, so since 4 circles fit in the square, each circle's diameter must be 10.
Which means the radius of each circle is 5 because 10 ÷ 2 = 5.
Now we can solve for area.
A = πr²
A = 3.14 x 5²
A = 3.14 x 25
A = 78.5 cm²
78.5 cm² is the area of one circle so we multiply that by 4.
78.5 x 4 = 314 cm²
Now we subtract from the area of the square.
20 x 20 = 400 cm²
400 - 314 = 86 cm²
To solve this problem,
we must first imagine out that the sequence of the children is either <span>
GBGBGB.... or BGBGBG....</span>
So there are 2
possible sequence all in all. Now to solve for the total arrangements per
sequence,<span> the
girls can be arranged in n! ways in their alloted spots, and so can the boys n!
in their alternate spots, therefore:
Total arrangements = 2 * n! * n!</span>
If n = 55
Total arrangements = 2
* 55! * 55!
Total arrangements = (The
answer is very big ~almost infinite)
If n = 5
Total arrangements = 2
* 5! * 5!
Total arrangements = 28,800
<span>So I believe the
correct given is 5 boys and 5 girls and there are a total of 28,800
arrangements.</span>