Answer:
Step-by-step explanation:
For A you can use angles in a triangle adding to 180 degrees.
For a you can use the sine rule.
From there you can use Pythagoras to work out c.
Hope this helps :)
Step-by-step explanation:
1/49 because 1 ticket got removed so the total of remaining tickets is 49
Answer:
(x +3)^2 + (y -3)^2 = 3^2
Step-by-step explanation:
Your first task is to find the center.
The longest possible line of the circle goes from (-3,0) to (-3,6)
So the center is at the midpoint of these two points.
The midpoint is at (-3 - 3)/2 , (6+ 0)/2 or (-3,3)
That gives you the center of the circle.
So far what you have is
(x +3)^2 + (y -3)^2 = r^2
Now the distance of the center to the bottom point is (-3,3) to (-3,0)
r^2 = (x2 - x1)^2 + (y2 - y1)^2
x2 = - 3
x1 = - 3
y2 = 3
y1 = 0
r^2 = (-3 - -3)^2 + (3 - 0)^2
r^2 = 3^2
The entire answer is
(x +3)^2 + (y -3)^2 = 3^2
Answer:
53.3 degrees
Step-by-step explanation:
∆DEF and ∆RSQ are similar. We know this, because the ratio of their corresponding sides are equal. That is:
DE corresponds to RS
EF corresponds to SQ
DF corresponds to RQ.
Also <D corresponds to <R, <E corresponds to <S, and <F corresponds to <Q.
The ratio of their corresponding sides = DE/RS = 6/3 = 2
EG/SQ = 8/4 = 2
DF/RQ = 4/2 = 2.
Since the ratio of their corresponding sides are equal, it means ∆DEF and ∆RSQ are similar.
Therefore, their corresponding angles would be equal.
Thus, m<Q = m<F
Let's find angle F
m<F = 180 - (98 + 28.7)
m<F = 53.3°
Since <F corresponds to <Q, therefore,
m<Q = 53.3°
Answer:
Step-by-step explanation:
It is not a function. (1,1) and (1,-4) are both points on the graph.
