Answer:
2^6
Step-by-step explanation:
2 is being multiplied 6 times meaning it would be 2 to the 6th power.
9514 1404 393
Answer:
(b) 10.5 in
Step-by-step explanation:
The formula for the volume of a cone is ...
V = 1/3πr²h . . . . . . for radius r and height h
Then the height is ...
h = 3V/(πr²)
Your cone has a volume V = 199 in³ and radius r = 4.25 in, so the height is ...
h = 3(199 in³)/(π(4.25 in)²) ≈ 10.52 in
The height of the cone is about 10.5 inches.
Answer:
y = 2x-5
Step-by-step explanation:
y = 2x+2
We know the slope of this line is 2 because it is in the form y =mx +b where m is the slope
We want a parallel line so it has the same slope
We can use the point slope form of the equation
y-y1 = m(x-x1)
y--1 = 2(x-2)
y+1 = 2(x-2)
Distribute
y+1 = 2x-4
Subtract 1 from each side
y+1-1 = 2x-4-1
y = 2x-5
This is in slope intercept form
Answer:
5
Step-by-step explanation:
Slope (m) =
ΔY
ΔX
=
5
1
= 5
θ =
arctan( ΔY )
ΔX
= 78.69006752598°
ΔX = 1 – -3 = 4
ΔY = 2 – -18 = 20
Distance (d) = √ΔX2 + ΔY2 = √416 = 20.396078054371
Equation of the line:
y = 5x – 3
When x=0, y = -3
When y=0, x = 0.6
Answer:
The formula for the volume of a sphere is V = 4/3 πr³
Step-by-step explanation:
