<u>Given </u><u>:</u><u>-</u>
- Radius of cylinder is 7ft.
- Height is 12ft .
<u>To </u><u>Find</u><u> </u><u>:</u><u>-</u>
- The volume of the cylinder .
<u>Solution</u><u> </u><u>:</u><u>-</u>
As we know that the volume of the cylinder is ,
Volume = πr²h
On substituting the respective values ,
Volume = 3.14 * (7ft)²*12ft
Volume = 3.14*49ft²*12ft
Volume = 1846.32 ft.³
<u>Hence </u><u>the</u><u> required</u><u> answer</u><u> is</u><u> </u><u>1</u><u>8</u><u>4</u><u>6</u><u>.</u><u>3</u><u>2</u><u> </u><u>ft³</u><u>.</u>
Answer:
angle A + angle B = 180 degrees is correct
Step-by-step explanation:
9514 1404 393
Answer:
10. (x, y) = (-3/8, 2 9/16)
11. k = -1
Step-by-step explanation:
10. The value of x at the vertex is ...
x = -b/(2a)
x = -(-3)/(2(-4)) = -3/8
The corresponding value of y is ...
y = 2 +(-3/8)(-3 +(-3/8)(-4)) = 2 +(-3/8)(-3/2) = 2 +(9/16)
The vertex is (x, y) = (-3/8, 2 9/16).
__
11. The discriminant is zero when the roots are equal.
b² -4ac = 0
(k-1)² -4(1)(-k) = 0
k² -2k +1 +4k = 0
k² +2k +1 = 0 . . . . . collect terms
(k +1)² = 0 . . . . . . . . write as a square
k = -1 . . . . . . . . . . . . the value of k that satisfies
<em>Check</em>
x² -2x +1 = (x -1)² = 0 . . . . has equal roots: x=1.
Answer:
-11/24
Step-by-step explanation:
i used a fraction calculator, but basically you’ll want to find the least common denominator (lcd) for both of the fractions and then work with them like that. the lcd is 24, so multiply 5/12 by 2/2 and 7/8 by 3/3 and you’ll have 10/24 minus 21/24. then all you gotta do now, is subtract the numerator and you’ll have -11/24