Answer:
x=18.7
Step-by-step explanation:
x+17+5x+10+4x-34=180
10x-7=180
10x=187
x=18.7
all angles in a trianlge add up to 180 degrees
Volume of a ball = (4/3)πr³
When r = 18cm, V = (4/3)×3.14×18³ =24416.64 cm³
When r = 12cm, V = (4/3)×3.14×12³ =7234.56 cm³
Difference = 24416.64 - 7234.56 = 17182.08 cm³
the volume of air in the larger ball is <span>17182.08 cm³ greater than smaller ball </span>
or 
At the point/angle E:
- the adjacent side(side <u>next to</u> the point/angle) is ED
- the opposite side(side of the triangle <u>across</u> from the point/angle) is DF
- the hypotenuse (the<u> longest side</u> of the triangle) is EF.
sin ∠E = 
sin ∠E = 
(simplified)
Answer:
S = 128πx² + 64πx + 8π
Step-by-step explanation:
Suraface area of a cylinder is given by:
S = 2πrh + 2πr²
We know that the height is 3 times as big as the radius, hence:
h = 3r
so we can plug in the new h value and rewrite the S equation as:
S = 2πrh + 2πr²
S = 2πr(3r) + 2πr²
S = 6πr² + 2πr²
S = 8πr²
We're given in the question that the radius is (4x + 1) inches, so plug that into r.
Given: r = 4x + 1
Therefore,
S = 8πr²
S = 8π(4x + 1)²
S = 8π(16x²+8x+1)
S = 128πx² + 64πx + 8π
