Answer:
AC = 7.12 units
Step-by-step explanation:
A right triangle has two legs and a hypotenuse. The hypotenuse is opposite the right angle. As Angle C is the right angle, then the triangle can be constructed as shown in the picture attached. The sides of the triangle have a relationship known as the Pythagorean Theorem a² + b² = c². In the theorem, the legs of the triangle are a and b while the hypotenuse is c. Substitute a = x, b = x+6, and c = √52. Simplify and solve.
a² + b² = c²
x² + (x+6)² = √52²
x² + x² + 12x + 36 = 52
2x² + 12x - 16 = 0
You can use the quadratic formula to solve by substituting a = 2, b = 12, and c = -16.
The quadratic formula is
.
Substitute and you'll have:


Only 1.12 is a solution since 7.13 will not satisfy the Pythagorean theorem
Side AC is 6 units longer than side BC. This means x = BC and AC = x + 6.
AC = 1.12 + 6 = 7.12
It’s d the minimum value is 1 of the graph
Answer:
3311.36ft^3
Step-by-step explanation:
Given data
Height h= 11.9ft
Radius=16.3ft
The expression for the volume of a cone is given as
Volume= 1/3πr^2h
substitute
Volume=1/3*3.142*16.3^2*11.9
Volume= 1/3*3.142*265.69*11.9
Volume= 1/3*9934.095962
Volume=3311.36ft^3
Hence the volume is 3311.36ft^3
Answer: 14a - b - 3c + 21
The answer fam is .........<span>2,433,400 m3</span>