Answer:
The answer to your question is Volume = 27.5 ft³
Step-by-step explanation:
Data
Volume = ?
height = 3.9 ft
Circumference = 16.3 ft
Process
1.- Calculate the radius of the Cone
Circumference = 2πr = 16.3 ft
-Solve for r
r = 16.3/2π
r = 16.3/6.28
r = 2.5955 ft
2.- Calculate the volume
Volume = 1/3πr²h
-Substitution
Volume = 1/3(3.14)(2.5955)²(3.9)
-Simplification
Volume = 1/3(82.4966)
-Result
Volume = 27.5 ft³
Answer: ( -0.731, 0.682)
Step-by-step explanation:
The unit vector is defined as a vector that points in the same direction as our vector (137 degrees from the x-axis) and has a magnitude of 1.
Knowing the angle, is really simple to do it.
First, we know that for a radius R and an angle A, the rectangular coordinates can be written as:
x = R*cos(A)
y = R*sin(A)
And if we want that the magnitude/modulus of our vector to be 1, then R = 1, and we know that A = 137°
x = 1*cos(137°) = -0.731
y = 1*sin(137°) = 0.682
Then the unit vector is: ( -0.731, 0.682)
Answer:
56
Step-by-step explanation:
We know that every triangle no matter will equal 180 degrees. So we will make an algebreic expression.
2x+8+60=180
When doing algebreic expression we want to simply as much as possible to find our answer. First we will do 60-180. Since the expression is adding 60 we want to do the opposite and subtract is by 60 on both sides. SO now we have 2x+8=120. We do the same thing with 8. Subtract it on both sides since its adding in the expression. Now we have 2x=112. FInally, we will divide by two on both sides since its multiplying on the other side of the equation. So now we are left with x=56.
1/8 is a fraction to represent 12.5%
Answer:
C
Step-by-step explanation:
