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 
This is a classic math problem, and it is not solved in a normal way.
<span>1+4=5
2+5=12
3+6=21
8+11=?
There is a pattern that can be spotted. 2+5 does not equal twelve, however 2*(2+5) does equal 12. Below is how to solve the rest of the equations:
</span>1+4=5 -> 1*(4+1)=5
2+5=12 -> 2*(5+1)=12
3+6=21 -> <span>3*(6+1)=21 </span>
8+11=? -> <span>8*(11+1)=96
</span>
This is one way to answer the problem, HOWEVER there is another way to answer the problem that gives the SAME answer, but many people mistakenly believes it gives a different answer. If anyone tries to post the other way of doing this problem, but tells you the answer is 40, please comment on this post or message me and let me know. I will explain why the answer is actually 96 either way.
Answer:
Step-by-step explanation:
Given
Required
Evaluate
Start by dividing 15 by 3
Apply the following law of indices on indices x and z
So, the expression becomes:
I think it is 1.5×p.
Because for example:
If there were 99 science problems, then...
99÷3=33
99÷2=49.5
49.5÷33=1.5
33=p
The #of science problems=p×1.5
