9514 1404 393
Answer:
C. 1
Step-by-step explanation:
The lateral area is given by the formula ...
LA = 2πrh
Filling in the given values, you have ...
8π = 2π·r·4
1 = r . . . . . . . . divide by the coefficient of r
The radius of the cylinder is 1 foot.
Answer:
30 = 2 x 3 x 5
Step-by-step explanation:
The secret number is the least whole number that has three different prime factors. Since, this is the least whole number it should have the 3 smallest prime numbers as its factors.
The 3 smallest prime numbers are: 2, 3 and 5
The number that will have 2, 3 and 5 as its only factors will be the least whole number with 3 different prime factors.
So, the secret number must be = 2 x 3 x 5 = 30
Answer:
See below
Step-by-step explanation:
Let's rewrite all three equations is standard slope-intercept format of y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0).
Line a: -x+2y=3
2y = x + 3
y = (1/2)x + 3
Line b: -6x=3y-1
-3y = 6x - 1
y = -2x + (1/3)
Line c: 4x-8y=5
-8y = -4x + 5
y = (1/2)x - (5/8)
Parallel lines have the same slope (m). Perpendicular lines have slopes that are the negative inverse (-1/m)of each other.
Slopes, m, for the lines are;
The negative inverse of (1/2) is -2.
Lines a and c are parallel (same slope)
Line b is perpendicular since it's slope is the negative inverse of both a and b (-1/(1/2)) = -2
Answer:
1/7
Step-by-step explanation:
The probability that the Captain hits is \dfrac{1}{2}
2
1
start fraction, 1, divided by, 2, end fraction.
The probability that the pirate hits is \dfrac{2}{7}
7
2
start fraction, 2, divided by, 7, end fraction.
1/2 x 2/7 = 1/7
