Answer:
Pretend that H is the midpoint of AB, connect O and H
=> OH is the median of ΔOAB
Since we know that OA = OB => ΔOAB is an isosceles triangle
=> OH is also the height of ΔOAB
=> ∠OBA = ∠OAB = (180° - ∠AOB)/2 = (180° - 120°)/2 = 60°/2 = 30°
Now look at ΔOHB (that you create by connecting O and H)
We have:
cos30° = BH/OB
=> BH = cos30° · OB = √3/2 · x = (√3 x)/2
Because we have H as the midpoint of AB, we know that:
AB = 2 · BH = 2 · (√3 x)/2 = √3 x
So the answer is B
Answer: 
Step-by-step explanation:
The pool of rats from which the researcher is drawing participants is composed of the following:
23 male albino rats
21 male spotted rats
35 female albino rats
11 female spotted rats
Total rats = 23+21+35+11 =90
After drawing first rat , total rats remained = 89
The probability of choosing a male albino rat and then either a female albino rat or a male spotted rat =
Answer:
34
Step-by-step explanation:
1. Add 6 and 5 and that multiplies with 8 which would be 88
2. Then divide by 4, leaving you with 22.
3. Add that with 6(2), 12, and that gives you 34
4/3 + 3/4
Make the denominator the same: 12
16/12 + 9/12
= 25/12
Turn that into a mixed number:
= 2 1/25
To answer this question you will need to know how many inches the car travels Per minute.
1. To find this out you will first divide 45 miles by 60 to get the number of miles per minute.
The convertible travels 0.75 mi./min.
2. Next you will convert this number of miles to inches.
There are 63,360 inches per mile.
0.75 x 63360 = 47520 inches per minute.
3. You then need to find the distance the wheel travels in one rotation. You will need to find the circumference of the wheel.
C = pi x d
3.14 x 48
C = 150.72 inches
Each rotation is about 150.72 inches.
4. Finally, divide the total distance traveled in a minute by the circumference(distance of one rotation) to get the total number of rotations in a minute.
47520/150.72 is about 315.3 rotations per minute.
