Answer:
4x=8
Step-by-step explanation:
divide 4x÷4=8÷4
x=2
Answer:
<h2>a)
483.6cm²</h2><h2>b)
850.1 cm³</h2>
Step-by-step explanation:
Given the slant height 's' and its radius 'r' to be 15cm and 8cm respectively.
the total surface of the cone A = πrs+πr² and the volume is expressed as
V = 1/3πr²h
For the surface area of the cone;
Given parameters
radius = 8 cm and slant height s = 15 cm
Total surface area A = π(8)(15) + π(8)²
A = 90π+64π
A = 154π
If π = 3.14
A = 154(3.14)
A = 483.56cm²
A = 483.6cm²
Hence the total surface area of the cone to the nearest tenth is 483.6cm²
For the volume of the cone;
V = 1/3πr²h
Using pythagoras theorem to get the height of the cone;
l² = h²+r²
h² = l²-r²
h² = 15²-8²
h² = 225-64
h² = 161
h = √161
h = 12.69cm
V = 1/3π* (8)² * 12.69
V = 1/3π* 64 * 12.69
V = 1/3*3.14* 64 * 12.69
V = 2550.1824/3
V = 850.06 cm³
V = 850.1 cm³
Hence, the volume of the cone is 850.1 cm³ to the nearest tenth.
Answer: A
Step-by-step explanation:
This is because...
1st. Simplify both sides of the equation (distribute the 4 and combine like terms)
6 + -x = 20 + 4x + -4 (distributed 4)
-x + 6 = 4x + 16 (combined like terms)
2nd. Subtract 4x from both sides.
3rd. Subtract 6 from both sides.
4th. Divide both sides by -5.
Answer:
angle 3=83(vertically opposite angles are equal)
angle 5=angle 3(alternate interior angles) so = 83
angle 7 =angle 5 ( vertically opposite angles)
angle 2 +angle 1=180 (linear pair ) so angle 1 + 180-83=97
angle 4 = angle 2 (VOA)=97
angle 6 =angle 4 (AIA)=97
angle 8 =angle 6(VOA)=97
hope it helped plz mark me as brailiest
Step-by-step explanation:
