Answer:
Step-by-step explanation:
Set this up as a proportion, with inches on the top and feet on the bottom for our scale. We will find the actual length first, then we'll find the width.

Cross multiply to get that the actual length is 5(2.5) = 12.5 feet. Now for the width:

Cross multiply to get that the actual width is 5(3) = 15 feet.
If you want the area of the room, multiply the length times the width to get
A = 15(12.5)
A = 187.5 feet squared
Step-by-step explanation:
If you want the "root" of the equation...
First get y by itself on one side. You should get y = - x - 8.
Notice that this is the equation of a straight line.
Then let y = 0, and solve for x. You should get x = -8.
So the solution or "root" of the equation is at the point (-8,0)
I solved this using a scientific calculator and in radians mode since the given x's is between 0 to 2π. After substitution, the correct pairs
are:
cos(x)tan(x) – ½ = 0
→ π/6 and 5π/6
cos(π/6)tan(π/6) – ½ = 0
cos(5π/6)tan(5π/6) – ½ = 0
sec(x)cot(x) + 2 =
0 → 7π/6 and 11π/6
sec(7π/6)cot(7π/6) + 2 = 0
sec(11π/6)cot(11π/6) + 2 = 0
sin(x)cot(x) +
1/sqrt2 = 0 → 3π/4 and 5π/4
sin(3π/4)cot(3π/4) + 1/sqrt2 = 0
sin(5π/4)cot(5π/4) + 1/sqrt2 = 0
csc(x)tan(x) – 2 = 0 → π/3 and 5π/3
csc(π/3)tan(π/3) – 2 = 0
csc(5π/3)tan(5π/3) – 2 = 0
Answer:
The volume of the figure is 905 cubic units.
Step-by-step explanation:
Rotation is a method of solid transformation which involve turning a given line, or object about a reference point. In the given question, rotating segment AB completely about the y-axis would form a 3 dimensional figure of a sphere.
volume of a sphere = 


where r is the radius of the sphere.
Given that AB = 6, then the radius of the sphere = 6
volume of sphere =
x
x 
=
x 216
= 905.14
volume of sphere = 905 cubic units
The volume of the figure is 905 cubic units.
Answer:
D
Step-by-step explanation:
D has a repeating x value. Functions are only supposed to have one input for everyone output. ( no repeating x values)