Answer:
P = 24
A ≈ 41.6
Step-by-step explanation:
The polygon is a regular hexagon, so the triangle shown is a 30-60-90 triangle. So the short leg of the triangle is 2, which makes the side length of the hexagon 4.
That means the perimeter is P = 4 × 6 = 24.
The area of a regular polygon is:
A = ½ aP
where a is the apothem and P is the perimeter.
A = ½ (2√3) (24)
A = 24√3
A ≈ 41.6
The radius of Earth is 6378.1 km,
which is 2981.1 km longer than the radius of Mars.
The radius of Mars is 3397 km.
Answer:
1. The missing value is 9
2. The missing value is 81
Step-by-step explanation:
1. To find the missing value of a perfect square you divide the center term (-6 as is -6x) by two to get 3 then square the three to get 9
To check this write it as the simplified form (x-3)^2 and multiply it out again using foil. x times x is x^2, -3 times x is -3x ( this happens twice adding up to the -6x), and -3 times -3 is 9 making it x^2 -6x +9
2. Follow the steps for the previous problem to get the same answer for this one. Divide 18 (middle term) by 2 making 9. Then square the 9 making 81.
We know in these kind of triangles that have a 90 degrees angle, we can do:
so the first question:
and then:
so , when you want to rationalize , usually you must multiply the irrational factor as 1:
so , now multiply:
in the next question,we know negative numbers in radical don't have any solution so 2 is correct,
