The area of any regular polygon can be expressed as:
(ns^2)/(4tan(180/n)) where n is number of sides and s is a side length (no apothem needed :D)
37.2=5s^2/(4tan36)
s^2=(148.8tan36)/5
s≈4.65m
Answer:
Choice B) No.
Step-by-step explanation:
When she starts , she does a sit-up every 222 seconds.
But as she gets tired, each sit-up takes longer and longer to do.
It means, each sit-up takes more time than she did at beginning.
So, it is NOT proportional to the time.
If it is proportional, she should take constant number of sit-ups even she get tired.
The two labeled angles are alternate interior angles, and as such, they are the same.
From this result you can build the equation
and solve it for x: subtract 13x from both sides to get
and add 2 to both sides to get
Check: if we plug the value we found we have
So the angles are actually the same, as requested.
Answer:
8
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 4, 6 ), thus
y = a(x + 4)² + 6
To find a substitute (- 3, 14) into the equation
14 = a(- 3 + 4)² + 6 ( subtract 6 from both sides )
8 = a
Thus the coefficient of the x² term is a = 8
