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:
4.
Step-by-step explanation:
Since Eve has already knitted nine scarves we just need to add of few more. Our equation is this: 9 + _ + _ = ?
If you do 9 + 4 + 4, you get 17. Therefor, Eve must knit four scarves per day to meet her goal.
Answer:
9 inches.
Step-by-step explanation:
The formula for the volume of a rectangular prism is base x height. So if the volume is 378, and the base is 42, you would use the equation 378/42 to find the height. 378/42 is 9. Therefore, the height is 9 inches.
Answer:
Approximately 12.04 units.
Step-by-step explanation:
The find the distance between any two points, we can use the distance formula, which is:
We have the points (2,7) and (-6,-2). Let's let (2,7) be (x₁, y₁) and let's let (-6, -2) be (x₂, y₂). Substitute:
Subtract:
Square:
Add:
Approximate
So, the distance between (2,7) and (-6,-2) is approximately 12.04 units.
And we're done!
Kenny is taller then lamest
