1/12
There is 1 side of the die that has a ten on it and 12 sides in total. Therefore, there is a 1/12 chance of rolling a ten on this die.
Answer:
Step-by-step explanation:
lets break down 120 to see what it is divisible by and see if any of those numbers are perfect squares.
120/2=60
120/3=40
120/4=30
we can stop there because 4 is a perfect square and 30 can not be reduced any further to produce a perfect square.
do not forget there is only one x so it must stay in side the radical.
your answer is 2sqrt(30x)
Answer:

Step-by-step explanation:
srry if its wrong but I think it's right :)
btw for the first one
p=19.53
Answer:
k =2.57
Step-by-step explanation:
3.1+k=5.67
Subtract 3.1 from each side
3.1-3.1+k=5.67-3.1
k =2.57
9514 1404 393
Answer:
(x +6)^2 +(y -10)^2 = 225
Step-by-step explanation:
The standard form equation for a circle is ...
(x -h)^2 + (y -k)^2 = r^2
where the center is (h, k) and the radius is r.
The center of a circle is the midpoint of any diameter. The midpoint between two points is the average of their coordinates.
((-15, -2) +(3, 22))/2 = (-15+3, -2+22)/2 = (-6, 10)
The radius can be found using the distance formula, or by simply putting one of the given points in the equation for the circle to see what the constant (r^2) needs to be.
(x -(-6))^2 +(y -10)^2 = (-15-(-6))^2 +(-2-10)^2
(x +6)^2 +(y -10)^2 = 81 +144 = 225
The equation of the circle is ...
(x +6)^2 +(y -10)^2 = 225