Hello!
Let O be the center of the sphere, A the tangency point and B the location of the satellite.
m<ABO = 1/2m(b) = 1/2 * 138 = 69
m<OAB = 90
m<AOB = 180 - 90 - 69 = 21
21 * 2 = 42
The answer is 42°
Hope this helps!
Answer:
D. Keep track of the number of heads flipped in 50 flips. These represent the number of females born today. Repeat this 200 times.
Answer:
Step-by-step explanation:
x = 20
Answer:
B
Step-by-step explanation:
The number is between 10 and 49
The number is divisible by 3
Let the 10s digit = x
Let the units digit = y
1/3 * (10x + y) = x + y multiply both sides by 3
10x + y = 3(x +y) remove the brackets.
10x +y = 3x + 3y Subtract 3x from both sides
10x - 3x + y = 3y Combine\
7x + y = 3y Subtract y from both sides.
7x = 3y - y Combine
7x = 2y
x can't be very big. Even taking 1/3 will get out of range is you use 6.
Also x should be an even number. The units digit cannot have a fraction in it.
Try making x = 2
7*2 = 2*y
14 = 2y Divide by 2
14/2 = y
y = 7
So the number is possibly 27. Let's check it out.
- The number is between and includes 10 and 49. 27 is between these two endpoints.
- 27 is divisible by 3
- 1/3(27) = sum of digits
- 9 = (2 + 7)
All of the conditions are met. It's B
