Answer:
-3.52
Step-by-step explanation:
-2.2 x (-2) / (- 1/4) x 5 PEMDAS
4.4 / -1.25
-3.52
To get the volume of the cylinder you'll need your formula, which is:
Volume = radius^2 • π • height
So we are trying to find the volume of the water in the cylinder, not the whole cylinder itself.
Let's find the radius. Our radius is half of the diameter, which in this case is 1, because 2 / 2 = 1
Now we need to find the height. So we need to find what 3/4 of 4 is.
If 1/4 of 4 is 1, then 3/4 of 4 equates to 3.
So our equation is:
Volume = 1^2 • π • 3
Volume = 9.42 (if you are rounding to the nearest hundredth.)
The first term in our arithmetic sequence = 13
The common difference of our arithmetic sequence = 17 - 13 = 4
The formula for finding an equation for any arithmetic sequence is a(n) = A + B(n - 1)
A = the first term
B = the common difference.
Let's plug our numbers in.
a(n) = 13 + 4(n - 1)
Let's check to make sure we're correct.
a(1) = 13 + 4(1 - 1) = 13 + 4(0) = 13 + 0 = 13
a(2) = 13 + 4(2 - 1) = 13 + 4(1) = 13 + 4 = 17
That verifies that our formula is correct.
In conclusion,
a(n) = 13 + 4(n - 1)
Answer:
Step-by-step explanation:
General equation for a circle (x - a)² + (y - b)² = r² with (a,b) represents the center, (x,y) represents one of the points lie on the circle, and r represents the radius Determine r² by substituting the points into the general equation (x - a)² + (y - b)² = r² (5 - (-1))² + (-4 - 2)² = r² (5 + 1)² + (-6)² = r² 6² + 36 = r² 36 + 36 = r² 72 = r² Determine the equation of the circle (x - a)² + (y - b)² = r² (x - (-1))² + (y - 2)² = 72 (x + 1)² + (y - 2)² = 72 (This is the equation of the circle)