A = velocity / time
b) 40m/s
13m / 3s = 4.33 m/ss
Answer:
m∠A = 30°
m∠B = 80°
m∠C = 70°
Step-by-step explanation:
By applying cosine rule in the given triangle,
b² = a² + c² - 2ac[cos(∠B)]
From the given triangle,
a = 14 m
b = 28 m
c = 24 m
(28)² = (14)² + (24)² - 2(14)(24)cos(B)
784 = 196 + 576 - 672cos(∠B)
cos(∠B) = 0.1786
∠B = ![\text{cos}^{-1}(0.1786)](https://tex.z-dn.net/?f=%5Ctext%7Bcos%7D%5E%7B-1%7D%280.1786%29)
∠B = 79.71°
∠B = 80°
By applying sine rule in the given triangle,
![\frac{\text{sinA}}{a}= \frac{\text{sinB}}{b}= \frac{\text{sinC}}{c}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BsinA%7D%7D%7Ba%7D%3D%20%5Cfrac%7B%5Ctext%7BsinB%7D%7D%7Bb%7D%3D%20%5Cfrac%7B%5Ctext%7BsinC%7D%7D%7Bc%7D)
![\frac{\text{sinA}}{14}= \frac{\text{sin(79.71)}}{28}= \frac{\text{sinC}}{24}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BsinA%7D%7D%7B14%7D%3D%20%5Cfrac%7B%5Ctext%7Bsin%2879.71%29%7D%7D%7B28%7D%3D%20%5Cfrac%7B%5Ctext%7BsinC%7D%7D%7B24%7D)
![\frac{\text{sinA}}{14}= \frac{\text{sin(79.71)}}{28}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BsinA%7D%7D%7B14%7D%3D%20%5Cfrac%7B%5Ctext%7Bsin%2879.71%29%7D%7D%7B28%7D)
![\text{sinA}= \frac{\text{sin(79.71)}\times 14}{28}](https://tex.z-dn.net/?f=%5Ctext%7BsinA%7D%3D%20%5Cfrac%7B%5Ctext%7Bsin%2879.71%29%7D%5Ctimes%2014%7D%7B28%7D)
sinA = 0.491958
A = 29.47°
A ≈ 30°
By applying triangle sum theorem,
m∠A + m∠B + m∠C = 180°
30° + 80° + m∠C = 180°
m∠C = 70°
Answer:
Total number of members in month 34 is 1341 members.
Step-by-step explanation:
We have given,
Number of fans join a club in first month = 1044
And after the first month nine new members are allowed to join each month.
After first month , Let the number of club members in x months will be given as:
Number of members = 1044 + 9x
We need to find number of members in month 34.
So for first month we already had 1044 members, that mean for remaining 33 months we need to calculate members.
i.e total number of members in month 34 = 1044 + (33×9 ) , {Since x = 33 here}
OR total number of members in month 34 = 1044 + 297 = 1341 members
Answer: 4/3
Step-by-step explanation:
First off, we should all get the denominators to be the same.
14 is the LCM of each of the denominators, so:
3x / 7 times 2/2 = 6x/14
-1/2 times 7/7 = -7/14
and 1/14 is 1/14
So now we have
6x/7 + -7/14 = 1/14
We can multiply everything by 14 to get rid of the denominator completely, which leaves us with:
6x - 7 = 1
Then we just solve like a normal equation:
6x = 8
x = 8/6 , or 4/3
Answer:
Well, 60 (minutes in an hour) divided by 12 (from the problem) is 5, so you have to multiply that 5 by the 5 from the problem to find that the train is going 25 (5*5) mph. Just double this for two hours, and you result in 50!
Step-by-step explanation: