Answer:
Both answers are 3.
Step-by-step explanation:
10^3 = 10 * 10 * 10 = 1000
When you multiply 42.12 by 10^3, you are multiplying 42.12 by 1000.
When you multiply a number by a power of 10, such as 10, 100, 1000, etc., move the decimal point of the number to the right the same number of places as the number of zeros in the power of 10.
42.12 * 1000 = 42,120
*I am assuming that the hexagons in all questions are regular and the triangle in (24) is equilateral*
(21)
Area of a Regular Hexagon:
square units
(22)
Similar to (21)
Area =
square units
(23)
For this case, we will have to consider the relation between the side and inradius of the hexagon. Since, a hexagon is basically a combination of six equilateral triangles, the inradius of the hexagon is basically the altitude of one of the six equilateral triangles. The relation between altitude of an equilateral triangle and its side is given by:


Hence, area of the hexagon will be:
square units
(24)
Given is the inradius of an equilateral triangle.

Substituting the value of inradius and calculating the length of the side of the equilateral triangle:
Side = 16 units
Area of equilateral triangle =
square units
Answer:
-3/5
Step-by-step explanation:
to figure that out you have to do y^2 - y^1/ x^2 - x^1
2-(-1)/ -3 - 2
= 3/-5
=-3/5
Answer:

Step-by-step explanation:
For this case we know that:

And we want to find the value for
, so then we can use the following basic identity:

And if we solve for
we got:


And if we replace the value given we got:

For our case we know that the angle is on the II quadrant, and on this quadrant we know that the sine is positive but the cosine is negative so then the correct answer for this case would be:
