Answer: Kate = 40/3 Her father = 50
Step-by-step explanation:
Let Kate's age in the present be K
And Kate's father's age in the present be F
3(K+5) = F+5
6(K-6) = F-6
Rearrange the first equation to get
3K+15 = F+5
3K+10 = F
Substitute that into the second question
6K-36 = 3K+10-6
3K = 40
K = 40/3
So F = 3*40/3+10 = 50
72 I am guessing because you divide by 3
49 is your answer
Explanation: Multiply both sides of the inequality by and flip the inequality sign. Multiplying two negatives equals a positive. Therefore, r>49
Hope this helps :)
We know that 50/200 of the counters have white paint. That is equal to 1/4 of the counters. Since there is an even distribution of the counters, we can guess that 1/4 of the counters taken out have white paint. 1/4 of 80 = 20
We could expect about 20 of the counters taken out to have white paint
Answer:
cos Ф = 11/12
Step-by-step explanation:
Given that:
sinФ = ![\sqrt{23}/12](https://tex.z-dn.net/?f=%5Csqrt%7B23%7D%2F12)
Putting in Pythagoras theorem:
(
)^2 + cos^2 Ф = 1
23/144 + cos^2 Ф = 1
Subtracting 23/144 on both sides:
cos^2 Ф = 1 - 23/144
By taking LCM
cos^2 Ф = (144 - 23)/144
cos^2 Ф = 121/144
Taking square root on both sides we get:
cos Ф = 11/12
I hope it will help you!