Answer:
(2pi)/5
Step-by-step explanation:
The cosine function cos(x) has a period of 2*pi.
If we change the argument of the cosine, the new argument will have a period of 2*pi. If the new argument is 5x, we have that the period will be:
5x = 2*pi
x = 2*pi/5
The period of this function will be (2pi)/5, because for every (2pi)/5 change in the value of x, the function will have the same value. The value of 5 multiplying the cosine does not interfere in the period.
Firstly expand it: 50k + 5 + 4 + 16k
Collect like terms: (50k + 16K) + (5 + 4)
Simplify: 66k + 9.
Answer:
6/7 = 66/77
9/11 = 63/77
6/7 is greater than 9/11
Step-by-step explanation:
To give fractions a common denominator you must find the LCM(lowest common multiple) of this two denominators.
So, we have 7 and 11. You must find a multiple 7 and 11 share. This means that the number must be divisible by 7 and 11. The LCM for 7 and 11 is 77.
Now we make both the denominators 77.
Now look at the numerators. Look at 6/7. We multipled 7 by 11 to get 77. Therefore, we must also multiply 6 by 11.
Now we have, 66/77
Do the same with the other fraction but other way around:
11 x 7 so
9 x 7 = 63
So,
63/77
So 6/7 is now 66/77 and 9/11 is now 63/77
Now compare:
66 > 63
66 is bigger so 6/7 is greater.
6/7 is greater than 9/11
Answer:
27
Step-by-step explanation:
Givens
b1 = 13
b2 = ?
h = 6
Area = 120
Formula
Area = (b1 + b2) * h/2 Multiply by 2
2Area = (b1 + b2)*h Divide by h
2Area/h = b1 + b2 Subtract b1 from both sides
2Area/h - b1 = b2
Solution
2*120 / 6 - 13 = b2
40 - 13 = b2
b2 = 27
It is always handy to solve an equation in the form that finds the unknown on one side. It makes the solution much easier.
