Answer:
There is a group anxiously waiting to start their triathlon. They are in the sand getting ready for the first leg of the race…the swim! They have roped off a rectangle of the beach that is 200 yards long and 10 yards wide. The athletes are packed in trying fighting for the front. If we assume that 10 athletes can occupy 25 square feet, how many triathletes are?
10 yds x 200 yds = 2000 sq yds.
2000 x 9 = 18000 sq ft
18000/25 = 720 sections that are 25 sq ft
720 sections x 10 people/section = 7200 triathletes
Step-by-step explanation:
Answer:
$2
Step by Step:
Four quarters is one dollar
Four quarters is 8 pennies
Multiply 8 by 25 (25 being the value of the quarters)
<em>2</em><em>5</em><em> </em><em>cents </em><em>is </em><em>times </em><em>four </em><em>is </em><em>one </em><em>dollar </em>
<em>.</em><em>2</em><em>5</em><em>x</em><em>4</em><em>=</em><em>1</em><em>,</em><em> </em><em>2</em><em>5</em><em>x</em><em>4</em><em>=</em><em>1</em><em>0</em><em>0</em><em>,</em><em> </em><em>1</em><em>0</em><em>0</em><em>x</em><em>.</em><em>2</em><em>5</em><em>=</em><em>2</em><em>5</em>
<em>2</em><em>x</em><em>4</em><em>=</em><em>8</em><em> </em><em>8</em><em>x</em><em>2</em><em>5</em><em>=</em><em>2</em><em>0</em><em>0</em>
Answer: I=sqrt(P/R)
Step-by-step explanation:
R=p/I^2
Multiple l squared on both sides...
(I^2) R=p/l^2 (l^2)
R(I^2)=p
Separate I by dividing both sides by R...
I^2=p/R
Square root both sides...
I=sqrt(P/R)
Answer:
option 1 both statements are true
Step-by-step explanation:
Prove by PMI -- Principle of Mathematical Induction
1) n³ + 2n
n= 1 , 1³ +2*1 = 1+2 = 3 = 3*1 ---->divisible by 3
n = 2 ; 2³ + 2*2 = 8+4 = 12 = 3*4 ----> is divisible by 3
Assume that It is valid for n = k ;
= 3*m -----(I) , for all m ∈ N
We have to prove for n =k +1 , the statement is true.
n = k+1, 
= k³ + 3k² + 3k + 3 + 2k
= k³ + 2k + 3k² + 3k + 3
= 3m + 3 (k² + k + 1)
= 3(3 + [k² + k + 1] ) is divisible by 3
Therefore, this statement is true
2) 
This statement is also true
