V = (1/3) x πr² x h = cm³
Answer:
The fourth option - t = 3, y = 5
Step-by-step explanation:
-8 + t becomes -5, thus t is 3 since -8 + 3 = -5.
-12 becomes -2y - 2, so we can set these equal to each other as -2y - 2 = -12 and solve from there. Add 2 to both sides, -2y = -10, then divide by -2 on both sides, y = 5.
Answer:
x ≈ 1.32, x ≈ - 5.32
Step-by-step explanation:
Given
x² + 4x - 7 = 0 ( add 7 to both sides )
x² + 4x = 7
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(2)x + 4 = 7 + 4
(x + 2)² = 11 ( take the square root of both sides )
x + 2 = ± 
( subtract 2 from both sides )
x = - 2 ± 
Thus
x = - 2 - ≈ - 5.32 ( to 2 dec. places )
x = - 2 + ≈ 1.32 ( to 2 dec. places )
Answer:
x approximately = 11.971, y approximately = 0.837
Step-by-step explanation:
the 12 ft is the hypotenuse of the right angle triangle formed
Cos (theta) = adjacent/hypotenuse
so Cos(4) = x/12, solving for x = 11.971
Sin(theta) = opposite/hypotenuse
so Sin(4) = y/12, solving for y = 0.837
