Answer:
3.44 cm
Step-by-step explanation:
When the pendulum is at its lowest point, the vertical length of the pendulum is L.
When the pendulum is at its highest point, the vertical length of the pendulum is L cos θ.
So the height difference of the pendulum between its lowest and highest points is h = L − L cos θ.
The pendulum swings 72° from right to left, or 36° from the vertical.
The length of the pendulum is 18 cm.
So the height is:
h = L − L cos θ
h = 18 − 18 cos 36°
h = 3.44
Standard form: Ax + By = C
slope intercept form: y = mx + b
point slope form: y - y1 = m(x - x1)
lets use this equation as an example:
8x + 4y = 16 first subtract 8x
4y = -8x +16 then divide every number by 4
y = -2x + 4 this equation is now in slope intercept form
Answer: a=225 adult, s=200 student
Explanation: We need a system of equations to find how many of each ticket Marc sold and we can use 4s+5a=1925 and s+a=425.
If we isolate a, we will have a=425-s
If we plug this into the first equation, we will get 4s+2125-5s=1925
Solving for s gives us s=200.
To find a, we can do 425-200 to find that a=225.
Answer:
1: draw a line across the circle, but not through point O
2: place the two points on the edge of the circle so that the space in between is about 1/3 of the circle. Label C and D.
3: draw two lines out from point O to the edge of the circle. 45 is half of 90. this means you can draw a 90 degree angle and divide it in half and remove the extra line. Label these E and F.
The answer would be 28/240, but if you were to simplify it would be 7/60