In order to round a number to the nearest thousandths, we have to check the number in the ten thousandths place:
1- If the number in the ten thousandths is less than 5, then the thousandths number will remain the same and all numbers after it will be converted to zeroes.
2- If the number in the ten thousandths is equal to or greater than 5, then the thousandths number will be incremented by 1 and all numbers after it will be converted to zeroes.
Applying this to the given number:
<span>1.80431
</span>The number in the ten thousandths position is 3 which is less than 5.
Therefore, rounding <span>1.80431 to the nearest thousandths will be:
</span>1.80400 which is equivalent to 1.804
Answer:
26.4 m
Step-by-step explanation:
The sine of an angle is the ratio between the opposite side of the angle and the hypotenuse. Hence,
sin 40° = 
= 
c = 
<u> c = 26.4 m (3 sf)</u>
Given that the two functions are
and 
We need to determine the value of 
<u>The value of </u>
<u>:</u>
The value of
can be determined using the formula,
![(f \circ g)(x)=f[g(x)]](https://tex.z-dn.net/?f=%28f%20%5Ccirc%20g%29%28x%29%3Df%5Bg%28x%29%5D)
Substituting
in the above formula, we get;
![(f \circ g)(x)=f[-9x^2-2x+1]](https://tex.z-dn.net/?f=%28f%20%5Ccirc%20g%29%28x%29%3Df%5B-9x%5E2-2x%2B1%5D)
Now, substituting
in the function
, we get;



Thus, the value of
is 
<u>The value of </u>
<u>:</u>
The value of
can be determined by substituting x = -6 in the function 
Thus, we have;




Thus, the value of
is -2797
Hence, Option B is the correct answer.