Answer: 0.796 meters
Step-by-step explanation:
Circumference of circle =
, where r=radius
Here, Circumference of loop = 2.5 meters
i.e. 


Diameter = 2r = 2(0.398) = 0.796 meters
Hence, The diameter of Taiga's exercise hoop = 0.796 meters
A) The longest horizontal distance is reached at 45 degrees angle. This is true for any projectile launch.
B) First, calculate fligth time (using the vertical motion) and then calculate the horizontal movement.
Flight time = 2* ascendent time
ascendent time => final vertical velocity, Vy, = 0
sin(45) = Voy / Vo => Voy = Vosin(45) = 25.5 m/s * (√2) / 2 = 18.03 m/s
Vy = Voy - gt = 0 => Voy = gt = t = Voy / g
Use g = 10 m/s^ (it is an aproximation, because the actual value is about 9.81 m/s^2 depending on the latitud)
t = 18.03 m/s / 10 m/s^2 = 1.83 s
This is the ascendant time going upward.
The flight time is 2*1.83 = 3.66 s
Horizontal motion
Horizontal velocity = Vx = constant = Vox = Vo*cos(45) = 18.03 m/s
Vx = x / t => x = Vx*t
Horizontal distance = xmax = 18.03m/s*3.66 s = 65.99 m
c) The time the ballon will be in the air was calculated in the part B, it is 18.03 s
I think it’s 3 not sure tho because i forgot most things about it
Answer with Step-by-step explanation:

So in this sequence,
1st term = 7
2nd term = 10
3rd term = 13
4th term = 16
10th term = 34

In this sequence,
1st term = -1
2nd term = 3
3rd term = 7
4th term = 11
10th term =35
for parallelograms:
area = b(h)
so basically, the length times the height. just like how you would find the area of a square.
perimeter: just add all of the sides together.
for triangles:
area = 1/2(b) x h
so half the length multiplied by the height. for example, if the length was 4, you have to use half of that. so that means 2 times whatever the height is.
perimeter: again, just add all three sides together