Cos60 degrees=1/2, so AK/AB=1/2. Since AK=KD, AK=1/2AD=1/2AB. Therefore, AB=AD. This is a rhombus, with four equal sides. Triangle ABK is congruent to triangle DBK (SAS), since AK=KD, angle AKB=angle BKD=90, and BK=BK. Therefore, BD=AB. The sum of four side lengths is 24. Each side length is equal to 24/4=6. BD=6.
Answer:
P(FH) =0.00144
Step-by-step explanation:
The total number of possible poker hands (n) is the combination of 5 out of 52 cards:
In order to get a full house, first pick one out of 13 cards (13 choose 1), then pick 3 out of the 4 cards of the chosen type to form three of a kind (4 choose 3), now pick another card from the remaining 12 different numbers or faces (12 choose 1), then pick 2 out of the 4 suits to form a pair (4 choose 2)
The probability of getting a fullhouse, in binomial coefficients is:
Expanding the coefficients and solving:
Answer:
21.2 in²
Step-by-step explanation:
The area of an equilateral triangle is given as :
Area, A = √3/4 * a²
Where, a = side length of the equilateral triangle
a = 7 inches ; Recall that all sides of an equilateral triangle are the same.
Put a = 7 in the equation :
A = √3/4 * a²
A = √3/4 * 7²
A = 0.4330127 * 49
A = 21.217 in²
Area, A = 21.2 in²
Step-by-step explanation:
Hey there!
Given;
Distance (d) = 450 km = 450*1000 = 450000 m
Time(t) = 5 hours = 5*60*60 = 18000s
Now;
Speed (s) = Distance (d) /Time(t)
Or, s = 450000/18000
Or, s = 25m/s.
Therefore, the speed is 25m/s.
<u>Hope</u><u> it</u><u> helps</u><u>!</u>
Answer:
30:1
Step-by-step explanation:
45*12 = 540
540/18 = 30