C = 2πr or C = πd
Diameter d = 57 cm
C = πd
C = π*57 = 57π
C ≈ 57 * 3.14159 = 179.07063
Exact circumference is 57π cm or
≈ 179.07 cm.
Answer:
x ≈ 4.1 cm
Step-by-step explanation:
The side (z) opposite the 42° triangle can be found from the relation ...
z/(3.6 cm) = tan(42°)
z = (3.6 cm)·tan(42°) ≈ 3.2415 cm
The relationship between z and x is ...
z/x = cos(38°)
x = z/cos(38°) ≈ 4.1135 cm
x ≈ 4.1 cm
Answer:
-5x -12
Step-by-step explanation:
BRAINLIEST PLEASE
3) x² - 121 = 0
x² = 121
x' = +√121
x' = 11
_______________
x'' = - √121
x'' = -11
Solution ⇒ S{-11 ; 11 } or (x-11)(x+11)
4) 4x² + 144 = 0
4x² = -144
x² = -144 / 4
x² = -36
x = √-36
No solution ⇒ S = ∅
5) z²+10z+21 = 0
Δ = 10² - 4(1)(21)
Δ = 100 - 84
Δ = 16
x' = (-10+4) / 2 = -6/2 = -3
x'' = (-10-4) / 2 = -14/2 = -7
Solution ⇒ S{ -7 ; -3} or (x+3)(x+7)
Answer:
Step-by-step explanation:
The function f(x) represents the amount of money in dollars Raul earns per ticket, where x is the number of tickets he sells. This is represented by the function,
f(x) = 3x2 + 16 - - - - - - -1
The function g(x) represents the number of tickets Raul sells per hour, where x is the number of hours he works. The function is represented by
g(x) = the square root of five times x cubed
g(x) = √(5x^3)
To find f(g(x)), we substitute g(x) into f(x).
f(g(x))= 3[√(5x^3)]^2 + 16
