Answer:
Step-by-step explanation:
V = 1/3 * pi * r^2 * h
r = ?
pi = 3.14
h = 17 cm
3*V = pi * r^2 h = r^2 Divide by pi
3*V/pi = r^2 h = r^2 Divide by h
3*V/(pi*h) =r^2 Take the square root of the left to get just r
sqrt(3*V/(pi*h)) = r Now solve the equation.
sqrt(3*538.25 /(3.14*17)) = r
sqrt(1614 / 53.38) =
r = sqrt(30.24)
r = 5.493
Answer:
The answer is 35.
Step-by-step explanation:
Prime numbers that are less than 50 are --> 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47
The largest prime number in here that is less than 50 is 47, right?
Lastly, the smallest composite number which is greater than 10 is what? It is 12, okay?
So, 47 - 12 = 35
Answer:
Alternate Exterior Angles
Step-by-step explanation:
The alternate exterior angle theorem is when two different lines are corssed by a transversal. Essentially alternate exterior angles are when two different angles are on opposite sides of the transversal. In the given photo, 6 and 12 are on opposite sides of one transversal which makes them alternate exterior angles.
Best of Luck!
Answer:
3x+y=2
Step-by-step explanation:
Just remember that standard form is expressed as Ax+By=C. I also attached a picture to prove that 3x+y=2 is the standard form equation that makes up the line.
Hope this helps and answers your question :)
Answer:
Step-by-step explanation:
Standard form of a circle is given by,
(x - a)² + (y - b)² = r²
Here, (a, b) is the center and 'r' is the radius of the circle.
For a circle having center (8, -4) and radius r = 1
Equation of the circle will be,
(x - 8)² + (y + 4)² = 1²
(x - 8)² + (y + 4)² = 1
Option (1) is the answer.
Question (2)
Circle with the center (-1, 0) and a point (2, -4) on it,
Radius of the circle = Distance between the center and the given point on circumference
= 
= 
= 
= 5
Therefore, equation of the circle will be,
(x + 1)² + (y - 0)² = 5²
(x + 1)² + y² = 25