Answer:
x = 2√5
Step-by-step explanation:
Using the Pythagorean Theorem:
a² + b² = c²
You can identify that x is the hypotenuse, as it is opposite to the right angle.
So:
3² + √11² = x²
9 + [(√11) (√11)] = x²
9 + 11 = x²
20 = x²
√20 = √x²
√4√5 = x
2√5 = x
x = 2√5
Answer:
The given sides does not form a triangle
Step-by-step explanation:
The given sides does not form a triangle
We know the triangle property which states that the sum of any two sides of the triangle should be greater than the third side.
Here given th esides of the triangle are 6x,7x,21x
6x+7x=13x < 21x
for any value of x the above equation does not satisfy.
Given that,
To find,
The domain of f(x).
Solution,
We have,
To find domain,
The term under the square root must be positive or null as follows :
Adding 3 both sides
So, the domain is x-3>0
.
Answer:
V candle ≈ 196.9 cm³
Step-by-step explanation:
Volume of cone = ( π·r²·h)/3
V candle = V big cone -V small cone
V candle = [ π·4²·(8+5) - π·2²·5]/3
V candle = ( π·16·13 - π·4·5)/3
V candle = (π·16·13 - π·4·5)/3
V candle = π·(208 - 20)/3
V candle = π·188/3
V candle = 196.8731396
V candle ≈ 196.9 cm³
