Step-by-step explanation:
The shaded area shows the region where it is enclosed in sample space S but does not include the subset B.
Hence it is the complement of B. (A)
Volume of the cone: 1/3 of area of the circle * the height
(1/3)π5²*5=(125/3)π
volume of the cylinder: area of the circle *the height: π5²*10=250π
add up: (125/3)π+(125/3)π+250π≈1047.2
D is the correct answer
Answer:
The answer is 2
Step-by-step explanation:
Answer:
Step-by-step explanation:
#22
<h3>Given </h3>
- Equation x² -4x + 1 = k(x - 4) with equal roots
<h3>To find</h3>
<h3>Solution</h3>
<u>The equation in standard form is:</u>
- x² -4x + 1 = k(x - 4)
- x² - 4x - kx + 1 + 4 = 0
- x² - (k + 4)x + 5 = 0
<u>When the quadratic equation has equal roots its discriminant is zero</u>
- D = 0
- b² - 4ac = 0
- (k + 4)² - 4*5 = 0
- (k + 4)² = 20
- k + 4 = ± √20
- k = - 4 ± √20
- or
- k = -4 ± 2√5
