The angle measure that would not be applicable as an interior angle of a polygon would 54 degrees. It is because the angle measure when divided by the maximum sum of an interior angle of 360 degrees, would not yield a whole number. The largest measure of an angle inside a polygon should be 120 degrees.
Tan 30 degrees would be equivalent to sin(30)/cos(30).
Sin(30) is 1/2, and cos(30) is (3)^(1/2)/2.
((1/2)/((3^1/2)/2) can be made easier to solve by taking the reciprocal of the denominator, and inverting it.
This leaves (1/2)*(2/(3^(1/2)).
The 2 in the denominator of sin(30) cancels the 2 in the numerator of cos(30).
Leaving (1/1)*(1/(3^1/2)).
Here, you can see that tan(30) equals 1/(3^(1/2)).
In regards to triangles, sin(30) is referring to a 30 degree angle in a 1-(3)^(1/2)-2 triangle, where sin is opposite/hypotenuse, and, so, is opposite the smaller, 1, leg.
As such, cos(30) is adjacent/hypotenuse and would be adjacent to the 3^(1/2), larger, leg. The hypotenuse is the same in both instances, in order to accommodate the Pythagorean theorem.
Well to figure out how to round to the tenth, let's figure out where the tenths place is.
Remember that "Tens" is 2 places to the LEFT of a decimal.
However, we are dealing with "Tenths", so we are actually moving 1 place to the RIGHT of a decimal.
So, with our number, we have 44.9598
44.9598
Remember we are looking for the "Tenths" place, so look 1 place to the RIGHT of a decimal.
44.9 is our number.
To determine if we round up or not, the Hundredths place must be 5 or higher to estimate up. If it does not meet the number 5, we stay at our current Tenths place.
The Hundredths place is 2 places to the RIGHT of a decimal.
We now have 44.95
Since our Hundredths place is 5 or higher, we round up our Tenths place by 1.
9 + 1 = 10
44 + 1.0 = 45.0
Your estimation is 45.0
I hope this helps!
Answer:
Explanation:
1.
f(5) = 5(5^2) - 4(5) + 1
= 125 - 20 + 1
= 106
2. (g + h)(x) = (3x - 2) + (x + 1)
= 3x - 2 + x + 1
= 4x - 1
3. f(1) - h(1) = [5(1^2) - 4(1) + 1] - [(1) + 1]
= (5 - 4 + 1) - (2)
= 2 - 2
= 0