Answer:
Step-by-step explanation:
This is a permutation problem. There are 5 swimmers in the race, and any combination of 3 will finish in the first 3 places. The formula will look like this:
₅P₃ = 
which will expand to
₅P₃ = 
and when the 2 * 1 cancels out between the numerator and the denominator, you're left with simply:
₅P₃ = 5 * 4 * 3
which is 60
According to my calculations, if they are correct, the answer is A.30%
Move the negative sign to the left
-x/5 = -20
Multiply both sides by 5
-x = -20 × 5
Simplify 20 × 5 to 100
-x = -100
Multiply both sides by -1
<em>x = 100</em>
<u>C. 100</u>
Answer:
$4,160,000
Step-by-step explanation:
First, find the length of the new road in km using Pythagorean Theorem.
According to Pythagorean Theorem:
c² = a² + b²,
Where, c is the longest leg, which is the hypotenuse, a and b are the 2 other legs of the ∆.
Since we are calculating the lenght in km, convert each lenght of the two legs of the ∆ into km.
1 km = 1,000 m
10,000 m = 10 km
24,000 m = 24 km
c² = 24² + 10²
c² = 576 + 100
c² = 676
c = √676
c = 26 km
Lenght of the new road = 26 km
If cost of construction is $160,000 per kilometer, therefore, cost of constructing 26 km road = 160,000*26 = $4,160,000
