A straight line is 180 degrees:
25x + 8 + 9x + 2 = 180
Combine like terms:
34x + 10 = 180
Subtract 10 from both sides:
34x = 170
Divide both sides by 34:
X = 5
Now solve the smaller angle:
9x + 2 = 9(5) + 2 = 45 + 2 = 47
They angle with the y is a vertical angle to 47 so needs to also equal 47:
7y + 5 = 47
Subtract 5 from both sides:
7y = 42
Divide both sides by 7:
Y = 6
Answer: x = 5, y = 6
f(3) is equal to -101.
<u>Step-by-step explanation</u>:
- The sequence is followed by f(0)=4
- The given expression is f(n+1)= -3f(n)+1
Put n=0,
f(0+1)= -3f(0)+1
f(1)= -3(4)+1
f(1)= -12+1 = -11
Put n=1,
f(1+1)= -3f(1)+1
f(2)= -3(-11)+1
f(2)= 33+1 = 34
Put n=2,
f(2+1)= -3f(2)+1
f(3)= -3(34)+1
f(3)= -102+1
f(3)= -101
Since One Radio in Davis Electronics requires 18 working resistors, then 2,145 radios will require
resistors.
Now we know that one out of 22 resistors is defective. This means that the number of non defective or perfect resistors in a set of 22 resistors is 21.
So, obviously, if we pick a set of 40,370 resistors then the set of working resistors we will get is
.
As can be clearly seen from the above calculations the required amount of working resistors is 38610 and the amount of working calculators available to us is 38535.
Thus, since the required amount of working resistors is greater than the amount of working resistors available, 40,370 resistors are not enough to assemble 2,145 radios.
Step-by-step explanation:
The domain would be all real numbers
Imagine a trigonometric circle with radius equal to 1.
We can say that the opposite side of the angle generated by the origin is equal to sen Ф and the adjacent equal to cos Ф
With this we can say that:
h² = c² + c²
If r = 1, then h = 1
1² = cos² + sen²
1 = cos² Ф + sen² Ф
You can use this equation a lot of times because it's the fundamental trigonometric relation
, so, when you something like:
sen Ф = cos Ф + 1
you can take from sen² Ф + cos² Ф = 1 that
and then resolve.