Since the altitude meets the triangle at a right angle it divides it into Similar triangles
Answer:
200.96 ft²
Step-by-step explanation:
The question is on surface area of a closed cylinder
Formulae= SA=2 ×pi× r² + 2×pi×r×h
Where pi=3.14
SA= 2×3.14×2² + 2×3.14×2×14
SA=25.12+175.84
SA=200.96 ft²
Answer:
x either equals to 4 of 9 so you can write it like x=4, 9
Step-by-step explanation:
Start by simplifying each sides of the equation.
x^2-13x+36=0
Then factor the left side of the equation.
(x-4)(x-9)=0
Set factors equal to 0
x-4=0 or x-9=0
x=4 or x=9
Answer:
C 1099
Step-by-step explanation:
The volume of a cylinder is given by
V = pi * r^2 *h
We know the radius is 5 and the height is 14
Substitute in what we know
V = 3.14 * 5^2 *14
V = 3.14 *25*14
V =1099 in^3
Answer:
The probability is 0.0052
Step-by-step explanation:
Let's call A the event that the four cards are aces, B the event that at least three are aces. So, the probability P(A/B) that all four are aces given that at least three are aces is calculated as:
P(A/B) = P(A∩B)/P(B)
The probability P(B) that at least three are aces is the sum of the following probabilities:
- The four card are aces: This is one hand from the 270,725 differents sets of four cards, so the probability is 1/270,725
- There are exactly 3 aces: we need to calculated how many hands have exactly 3 aces, so we are going to calculate de number of combinations or ways in which we can select k elements from a group of n elements. This can be calculated as:

So, the number of ways to select exactly 3 aces is:

Because we are going to select 3 aces from the 4 in the poker deck and we are going to select 1 card from the 48 that aren't aces. So the probability in this case is 192/270,725
Then, the probability P(B) that at least three are aces is:

On the other hand the probability P(A∩B) that the four cards are aces and at least three are aces is equal to the probability that the four card are aces, so:
P(A∩B) = 1/270,725
Finally, the probability P(A/B) that all four are aces given that at least three are aces is:
