<h3>
Answer:</h3>
48
<h3>
Step-by-step explanation:</h3>
Let x represent the distance OC. Then CD = x+2, and DP = 16-x. The radius of circle P is ...
... CD +DP = (x+2) +(16-x) = 18
The radius of circle O is ..
... OC + CD = (x) + (x +2) = 2x+2
The length OP is ...
... OC + CP = (x) + (18) = x+18.
Now, the perimeter of ΔAOP is ...
... radius of circle O + radius of circle P + OP = 80
... = (2x+2) + 18 + (x+18) = 3x+38 = 80
Then x is ...
... x = (80 -38)/3 = 14
and the radius of circle O is
... 2x +2 = 2·14 +2 = 30
The desired sum is ...
... OB + BP = (radius of circle O) + (radius of circle P) = 30 + 18
... OB + BP = 48
Answer:
The distance between the two given points is 5.
Step-by-step explanation:
As we move from (8,13) to (11,9), the change in x is 3 and that in y is -4.
Note that these distances are at right angles to one another. We apply the Pythagorean Theorem to find the length of the diagonal connecting the two points, whose length is the desired distance:
d = √(3² + [-4]²) = √25, or just 5.
The distance between the two given points is 5.
Answer:
Step-by-step explanation:
15*2=30
30/2=10
<u>10 pizzas</u> will evenly divide between 15 ppl and give each 2 slices with no extras.
The expression defines the given series for seven terms, i don't understand the question but i do know the sum which you should know to
15 + 19 + 23 = 57
Sorry