Answer:
184.43in².
Step-by-step explanation:
Total surface area of the solid = volume of the cube - the volume of the cone
For the CUBE;
Volume of the cube = L³ where L is the length of one side of the cube.
Since a cone of diameter of 6in is cut into a cube, then the length of the cube will be 6in.
Volume of the cube = 6³ = 216in³
For the CONE;
Volume of the cone = 1/3 πr²h
r is the radius of the cone = diameter/2
r = 6/2 = 3in
slant height l = 4.5in
the height h of the cone will be derived using the Pythagoras theorem.
l² = h²+r²
4.5² = h²+3²
h² = 4.5²-3²
h² = 11.25
h=√11.25
h = 3.35in
Volume of the cone = 1/3 × π × 3²× 3.35
= 31.57in³
Total surface area of the solid = 216in³-31.57in³
= 184.43in²
Y=mx+b is equation form.
Step 1: Calculate slope
Slope= y2-y1/x2-x1
Choose 2 points (8,7) and (0,1)
Apply slope formula: 1-7/0-8=-6/-8=3/4(simplified)
M=Slope
Y=3/4x+B
B=Y intercept: 1
Equation: Y=3/4x+1
(I can give a more thorough explanation if you have any questions).
Creo que la respuesta es C. No soy bueno con el inglés, pero eso es lo que pienso. Lo siento si está mal.
Answer:
1110
Step-by-step explanation:
Step-by-step explanation:
lim(n→∞) (2ⁿ / 2ⁿ⁺¹)
lim(n→∞) (2ⁿ / (2ⁿ × 2¹))
lim(n→∞) (1 / 2)
1/2
