Answer:

Step-by-step explanation:
The volume of cone is given by:

where
is the radius of the base and
is the height of the cone.
We need to solve for 
we have 
Multiplying both sides by 3 to remove 
⇒ 
⇒ 
dividing both sides by 
⇒ 
⇒ 
Taking square root both sides:
⇒ 
⇒ 
∴ 
Answer:
L = P/2 - W
Explanation:
Step 1 - Start by factoring out the two
P = 2L + 2W
P = 2(L + W)
Step 2 - Divide both sides of the equation by two
P = 2(L + W)
P/ 2 = 2(L + W)/ 2
P/ 2 = L + W
Step 3 - Subtract W from both sides of the equation
P/ 2 = L + W
P/ 2 - W = L + W - W
P/ 2 - W = L
9514 1404 393
Answer:
sin(θ) ≈ -0.92
cos(θ) ≈ 0.38
tan(θ) = -2.40
Step-by-step explanation:
Let r represent the distance of the point from the origin. The Pythagorean theorem tells us ...
r² = (5)² + (-12)²
r² = 169
r = √169 = 13
The trig relations for a point on the terminal ray are ...
(x, y) = (r·cos(θ), r·sin(θ))
Then ...
sin(θ) = y/r = -12/13 ≈ -0.92
cos(θ) = x/r = 5/13 ≈ 0.38
tan(θ) = y/x = -12/5 = -2.40
To determine the perimeter of the pentagon, you must first calculate a side length of it. Let's name the coordinates A(-1,4) and B(2,3).
To figure out how far the points are from each other, you have to use the distance formula:



D_{AB}= \sqrt{(2--1)^2+{(3-4)^2}




Now, the formula for the perimeter of a pentagon is
P = 5×side length
So...
Perimeter = 5×

The answer is (2)