Answer:
1. 0, 2. -1/2, 3.undefined, 4. -5/3, 5. 6, 6. -2, 7. 23/17
Step-by-step explanation:
y2 - y1 / x2 - x1
1. -18 - -18 / 15 - 6 = 0
2. 16 - 12 / 0 - 8 = -4/8 = -1/2
3. 37 - 2 / -15 - -15 is undefined (can't have 0 as denominator)
4. 30 - 20 / -5 - 1 = 10 / -6 = -5/3
5. -36 - -12 / 4 - 8 = -24 / -4 = 6
6. - 23 - -15 / 11 - 7 = -8 / 4 = -2
7. 100 - 54 / -38 - -72 = 46 / 34 = 23/17
Answer:
Approximately
.
Step-by-step explanation:
Convert the angle of this sector to radians:
.
The formula
relates the arc length
of a sector of angle
(in radians) to the radius
of this sector.
In this question, it is given that the arc length of this sector is
. It was found that
radians. Rearrange the equation
to find the radius
of this sector:
.
The perimeter of this sector would be:
.
Answer:1 is b and 2 is d
Step-by-step explanation:
Answer: 300π
Step-by-step explanation: Volume=(pi)(radius^2)(height)
Volume=(pi)(5^2)(12)
V=(pi)(25)(12)
V=(pi)(300)
Answer:
<em>P=0.0000037</em>
<em>P=0.00037%</em>
Step-by-step explanation:
<u>Probability</u>
A standard deck of 52 playing cards has 4 aces.
The probability of getting one of those aces is

Now we got an ace, there are 3 more aces out of 51 cards.
The probability of getting one of those aces is

Now we have 2 aces out of 50 cards.
The probability of getting one of those aces is

Finally, the probability of getting the remaining ace out of the 49 cards is:

The probability of getting the four consecutive aces is the product of the above-calculated probabilities:


P=0.0000037
P=0.00037%