Answer:
the roots are n = 1 + √15 and n = 1 - √15
Step-by-step explanation:
In this case I would immediately rewrite n² - 2n - 5 = 10 as
n² - 2n = 10 + 5 = 15.
To complete the square: Identify the coefficient of n (it is -2). Halve that, obtaining -1, square this result, and then add the outcome (1) to and subtract the outcome (1) to n² - 2n:
n² - 2n <em>+ 1 - 1 </em> = 15
Next, rewrite n² - 2n + 1 as the square of a binomial:
(n - 1)² = 15
Finally, take the square root of both sides:
n - 1 = ±√15
so that the roots are n = 1 + √15 and n = 1 - √15
Answer: The area of circle V is 196π ft² (196Pi feet squared)
Step-by-step explanation:
From the equation for area of a circle,
A = πr²
Where A is the area of the circle
r is the radius of the circle
In Circle V, the radius, r of the circle is 14 feet
That is,
r = 14ft
Hence, Area is
A = π × (14ft)²
A = π × 14ft × 14ft
A = 196π ft²
Hence, the area of circle V is 196π ft² (196Pi feet squared)
Answer: 56
Step-by-step explanation:
Given : A bag contains five red marbles, three green ones, one transparent one, three yellow ones, and three orange ones .
Red marbles = 5
Green marbles = 3
Total marbles red or green = 5+3=8
The number of combinations of n things taking r at a time is given by :-
Then, the number of possible sets of five marbles are there in which all of them red or green is given by :-
Now, the number of possible sets of five marbles are there in which all of them red or green = 56
Answer:
area of the triangle= 1/2 × base × height
24 = 1/2 × 4 × height
height. = 24/2
= 12 inches
answer is third option
Answer:
Step-by-step explanation:
To find what percentage a certain value is of another value, simply divide the first value by the second, respectively.
We want to find want percentage that 7,562.5 is of 275,000. Therefore, we will divide 7,562.5 by 275,000 to obtain a decimal:
To convert from a decimal to a percentage, multiply by 100: