There exist a similar question where b = 68 instead of 6. First, determine the measure of the third angle, angle C,
m∠c = 180 - (55° + 44°) = 81°
Let x be the side AB, that which is opposite to angle C. Through the Sine Law,
68 / sin 44° = x / sin 81°
From the equation, the value of x is equal to 96.68. Thus, the answer is letter B.
8.5 is the same as 8.50, right? So just take the digit in the hundredth place of both decimals and subtract. You'd be doing 0-4 so you can go ahead and borrow a number to make 10-4, which equals 6. So without subtracting 8.5 and 4.64, you can determine that 6 will be in the hundredth place. Hope this helps!
Answer:
perimeters of the rectangle=p=46.014 metres
Step-by-step explanation:
Given that:
Length (l) = 21 m
Area of rectangle(A) = 42.15 meter-square
Width (w)=?
Required data:
Perimater of Rectangle=p=?
Calculation:
As we know that Area of rectangle=A=l*w
Putting the value we get
42.15 m(square)=(21 m)*w
or w=42.15/21
or w=2.007 m
Now to find perimters of rectangle we know that
p=2(l + w) metres
putting the values
p=2(21+2.007) metres
p=2(23.007) metres
p=46.014 metres
You can just put the 10 over 1 and multiply across. Then simplify! Hope this helps (:
Answer:
The probability is 
Step-by-step explanation:
The game of roulette wheel consists in spinning a wheel with 38 slots : 18 red, 18 black and 2 green.
If we suppose that the roulette is a fair roulette, then each slot has an equal chance of capturing the ball and given that the ball lands in a red, black or green slot this event doesn't give us information about the following spin. Meaning that exists independence between each spin of the roulette wheel.
In our exercise, we spin the roulette wheel 3 consecutive times and each time the ball lands in a red slot. This doesn't give us information about the fourth spin (because of the independence).
Given that each slot has an equal chance of capturing the ball we can calculate the probability of the ball landing on a red slot on the next spin as :

We divide the favourable cases (18 red slots) by the total cases (38 slots) in order to calculate the probability.
The probability is 