<u>Answer:</u>
Option(b) = 10
The Number 6 in the thousands place is 10 times bigger than the Number 6 in the hundreds place
<u>Explanation:</u>
We are given the value recorded = 16,652
Now the Number 6 in hundreds place means it is equal to 600 and the Number 6 in thousands place means that it is = 6000
from the given value 6 in hundreds place = 652 and
that in thousands place = 6520 ,
so the six in thousands place is obtained by multiplying 10 with the 6 in hundreds place hence the latter is 10 times bigger than the former.
To look for the area of a sector of a circle, the following formula is used:
Area = ( n / 360 ) * pi * r^2
Where: n = measure of arc in degrees
pi = 3.1416
r = radius
Since we are already given all of the needed parts of the formula, direct substitution is done, as shown below:
Area = ( n / 360 <span>) * pi * r^2
</span>Area = ( 45 / 360 ) *3.1416 * (8)^2
Area = 25.133 in^2
Therefore, the area of the sector of the circle is 25.133 sq. in.
Answer:
see explanation
Step-by-step explanation:
Using the trig identity
sin²x + cos²x = 1 , then
sin²x = 1 - cos²x
cos²x = 1 - sin²x
Consider the left side
sin²A - cos²B
= (1 - cos²A) - (1 - sin²B) ← distribute parenthesis
= 1 - cos²A - 1 + sin²B
= sin²B - cos²A
= right side , thus verified