Answer:
c = 6.1
Step-by-step explanation:
Given that: B = 18°
, C = 152°, and b = 4.
The missing side, c, can be determined by applying the sine rule which states that:
= 
= 
c = 
= 
= 6.0773
c = 6.1
Therefore, the value of the missing side, c, is 6.1
There are 36 possible combinations that can occur when 2 dice are rolled. For the sake of this question, we'll count instances where dice 1 = 3/dice 2 = 2 and dice 1 = 2/dice 2 = 3.
Now, let's think about all of the possible ways a total of 5 could be rolled.
1 + 4
2 + 3
3 + 2
4 + 1
That's 4 possibilities to roll a total of 5 out of 36 possible outcomes.
4 / 36 = ? / 180
---Now, we need to use a proportion in order to figure out the possibilities out of 180.
36x = 720
x = 20
If you rolled a pair of fair dice 180 times, you would expect to roll a total of 5, 20 times.
Hope this helps!
Anything except pi is a rational number. So 9 and 7/10 is one or it could be a whole number
Answer:
Third option: 
Step-by-step explanation:
Given the function:

Since the ball never leaves the ground, you need to substitute
in the function in order to determine the time the soccer ball traveled:

Factorizing, you get:

Then:

Therefore the time the ball traveled was:

Answer:
75 pounds
Step-by-step explanation:
(x) + (x) + (x+20) = 185
3x + 20 = 185
3x = 165
x = 55
Large dog = 55 + 20 = 75