You have to use the Pythagorean theorem a squared plus b squared is c squared so 13 squared plus 18 squared equals c squared. 13x13=169 18x18=324 169+324=493 so c squared is 493 to get c you square root 493 which equals 22.2 so the diagonal, c, is 22.2 centimeters long
<span>This is a very nice counting question.
Suggestion / Hint: Count how many ways he can get from (0,0) to (5,7) by going through the point (2,3). Then subtract that from ALL POSSIBLE ways he can get from (0,0) to (5,7).
Hint for the hint: How many ways he can get from (0,0) to (5,7) by going through the point (2,3)? Well, that's the SUM of how many ways he can get from (0,0) to (2,3) and how many ways he get get from (2,3) to (5,7).
Hope this helps! :)</span>
Answer: a = 8
Step-by-step explanation:
Volume of a square based pyramid is given as
.
where a is the length of the side and h is the height.
Substituting into the formula , we have
V = 
128 =
/3
384=
X 6
Divide through by 6
384/6 = 
64 = 
Therefore :
a = 
a = 8
First we divide 102 by 12.75 to get the hours which is 8 hours. So it would take 8 hours
"14,494 rounded to the nearest ten-thousands" would be 10,000.
Because the value of the digit before the ten thousands place (4) is less than the value of 5, the digit in the ten-thousands position does not change.