ED = 68
Angle GKH = 31
ABD = 224
Angle AKB = 112
32 + 0.75x = 47
0.75x = 47 - 32
0.75x = 15
x = 15 / 0.75
x = 20 <=== 20 minutes
Answer:
<h2>Step 2</h2>
Step-by-step explanation:
Given the quadratic equation 6x² + 24x + 7 = 0, the following steps must be followed when finding the roots using the completing the square method.
Step 1: Subtract 7 from both sides
6x² + 24x + 7 - 7= 0 -7
6x² + 24x = -7
Step 2: divide through by the coefficient of x²
6x²/6 + 24x/6 = -7/6
x² + 4x = -7/6
Step 3: Add half of the coefficient of x (i.e 4/2 = 2) to both sides of the equation to complete the square of the equation x² + 4x.
x² + 4x + 2= -7/6 + 2
(x+2)² = -7/6 + 2
(x+2)² = 5/6
Step 4: taking the square root of both sides
√(x+2)² = √5/6
x+2 = ±√5/6
x = -2±√5/6
x = -2+√5/6 and -2-√5/6
Based on the conclusion above, it can be seen that Yvonne made the first error in step 2. Yvonne suppose to divide through by the coefficient of x² (i.e 6)
Volume of a cylinder is calculated as pi x radius x radius x height
pi is 3.14
so volume = 3.14 x 6 feet x 6 feet x 12 feet = 1356.48 ft3
so the correct answer is C)1,357 ft3
