Answer:
5 inches
Step-by-step explanation:
A cone's volume can be found using the formula 
. If the cone has a diameter of 3 inches then its radius is half r= 1.5 inches. Substitute r = 1.5 and V = 12 cubic inches.
This means the height of the cone is 5.10 inches or to the nearest inch 5 inches.
The answer is the top answer
A cosine is just a sine shifted to the left by π/2. A cosine of 4x is shifted to the left by only π/8 because of the factor 4. Sketch them.
The region we're looking for is this sausage-shaped part between the cos and the sin.
The x intercepts are at π/8 for the cosine and π/4 for the sine. The midpoint between them is at (π/8 + π/4)/2 = 3/16π.
The region is point symmetric around the x axis, so the y coordinate of the centroid is 0.
So the centroid is at (3/16π, 0)
Answer:
131°
Step-by-step explanation:
Since KNJ is a straight line,
∡KNM +∡MNJ= 180° (adj. ∡s on a str. line)
(8x -5)° +(4x -19)°= 180°
<em>Simplify:</em>
12x -24= 180
<em>+</em><em>2</em><em>4</em><em> </em><em>on </em><em>both </em><em>sides</em><em>:</em>
12x= 180 +24
12x= 204
<em>Divide</em><em> </em><em>both </em><em>sides </em><em>by </em><em>1</em><em>2</em><em>:</em>
x= 204 ÷12
x= 17
∡KNM
= (8x -5)°
= [8(17) -5]°
= (136 -5)°
= 131°
The answer would be c or 35x4 + 17x3-3x2 +41x -8<span />
