Answer:
Step-by-step explanation:
The perimeter of a polygon is equal to the sum of all the sides of the polygon. Quadrilateral PTOS consists of sides TP, SP, TO, and SO.
Since TO and SO are both radii of the circle, they must be equal. Thus, since TO is given as 10 cm, SO will also be 10 cm.
To find TP and SP, we can use the Pythagorean Theorem. Since they are tangents, they intersect the circle at a 
, creating right triangles 
and 
.
The Pythagorean Theorem states that the following is true for any right triangle:
, where 
is the hypotenuse, or the longest side, of the triangle
Thus, we have:
Since both TP and SP are tangents of the circle and extend to the same point P, they will be equal.
What we know:
Thus, the perimeter of the quadrilateral PTOS is equal to 
Answer:
f(x) = -(x+2)(x-1)
Step-by-step explanation:
We know the zeros are at 1 and -2
f(x) = a *(x-b1)(x-b2) where b1 and b2 are the zeros and a is a constant
f(x) =a(x-1)(x- -2)
f(x) =a(x-1)(x+2)
We know that a must be negative since the parabola opens down so
The only choice is choice D where a = -1
f(x) = -(x+2)(x-1)
Tens place is 2
look to teh right
5> or = to 5 so round up:
412,830
Answer:
mean=71
Step-by-step explanation:
Mean x¯¯¯x¯
71
Median x˜x~
72
Mode
64, 83, 79, 38, 81, 90, 59, 93, 70, 73, 71, 51
Range
55
Minimum
38
Maximum
93
Count n
12
Sum
852
Quartiles
Quartiles:
Q1 --> 61.5
Q2 --> 72
Q3 --> 82
Interquartile
Range IQR
20.5
Outliers
none
