Answer: 169.26 feet.
Step-by-step explanation:
Here, The distance of pitcher's mound from the home plate = 60.5 feet
And, the distance covered by ball when it was hit by the bat = 216 feet
Let the outfielder throw the ball from the distance x feet.
Thus, by the below diagram,
Hence, the outfielder throw the ball from the distance of 169.26 feet Approximately.
The turtle population will be 486 after 5 years.
<u>Step-by-step explanation</u>:
The general form of a geometric progression or geometric sequence is a, ar, ar², ar³ and so on.
where,
- a = first term
- r = common ratio
<u>The formula to find the nth term in GP is :</u>
nth term = 
The given sequence 6,18,54.
In this sequence,
- The first term, a = 6
- The common ratio, r = 18/6 = 3
5th term = 
⇒ 
⇒ 6
81
⇒ 486
Therefore, after 5 years the population will be 486.
Step-by-step explanation:
no, no, you use the equation to identify a, b and c.
then you use the formula with these values to get the solutions to the equation (the values of x for which the equation delivers 0).
always remember, a quadratic equation always has 2 solutions. sometimes at least one of them are not a real number, sometimes the 2 springs are equal, ...
x² - 4x - 2 = 0
a, b, c are the factors of the terms in x and the constant term.
so,
a = 1
b = -4
c = -2
x = (-b ± sqrt(b² - 4ac))/(2a)
x = (4 ± sqrt((-4)² - 4×1×-2))/(2×1) =
= (4 ± sqrt(16 + 8))/2 = (4 ± sqrt(24))/2 =
= (4 ± sqrt(4×6))/2 = (4 ± 2×sqrt(6)) / 2 =
= 2 ± sqrt(6)
x1 = 2 + sqrt(6)
x2 = 2 - sqrt(6)
Answer:
81
Step-by-step explanation:
We need to know the sides of the square so 36÷4=9
Area of a square = Side x side
Area of square = 9x9=81
