<u>Answer</u>
748.23 in²
<u>Explanation</u>
Apothem a line from the centre of a regular polygon at right angles to any of its sides. This can be said to be the height of the triangle in a polygon.
The base of the hexagon = 101.8 ÷ 6
= 19.96666..
= 19.9667 inches
Area of the hexagon = 1/2 × height × base length × 6
= 1/2 × 14.7 × 19.9667 × 6
= 748.23 in²
Y+4= x blue bikes
G-2= x yellow bikes
4y+4= 8 blue bikes
4y+2= 6 green bikes
4y= 4 yellow bikes
8 blue bikes
+
6 green bikes
+
4 yellow bikes
=
18 bikes total
I think the answer is 6530 because ask yourself, what amount is in the hundreds section, which is 526. the rule is : if your number is past 5 hundred twenty five you round up to the nearest tenth, which is 5hundred thirty. so your answer is 6,530. I hope I explained it to be understandable...
The y-intercept is the value of y when the graph intersects the y-axis. Graphs intersect the y-axis when x=0, so we just substitute in x=0 to get:
y=2(0+3)(0+4)
y=2(3)(4)
y=24
Therefore, 24 is our answer.
Hope I helped :)
Since
and
, we can rewrite the right side of the equation as

Using the identity
, we can subtract
from either side to obtain the identity 
substituting that into our previous expression, the right side of our equation simply becomes

We can now write our whole equation as

Adding 2 to both sides:

dividing both sides by 3:


When 0 ≤ x ≤ π, tan x can only be equal to 1 when sin x = cos x, which happens at x = π/4, and it can only be equal to -1 when -sin x = cos x, which happens at x = 3π/4