Of your numbers listed, 29 and 41 are the lengths of the hypotenuse of a Pythagorean triple.
Those triples are
(20, 21, 29)
(9, 40, 41)
_____
The On-Line Encyclopedia of Integer Sequences (OEIS) lists the hypotenuses of primitive triples as sequence number A020882.
if we convert 6/8 to a smaller fraction it became 3/4. then, if we convert 27/36, it became 3/4. so, 6/8 os equivalent with 27/36. so the answer is 216=216
We will want to multiply .45 ( the decimal form of 45%) by 350
.45 * 350 = 157.5
Answer:
The height of the mast is 8√2 feet
Step-by-step explanation:
In this question, we are asked to calculate the height of the mast given the information in the question.
Please check the attachment for diagrammatic representation.
From the diagrammatic representation, we can conclude that we are asked to calculate the value of the third side of a right angled triangle, given the length of the two other sides.
Using the pythagoras’s theorem;
Square of hypotenuse = square of opposite + square of adjacent
From the diagram, we can see that the length of the cable represents the hypotenuse.
Hence;
AB^2= BC^2 + AC^2
12^2 = 4^2 + AC^2
144 = 16 + AC^2
AC^2 = 144 - 16
AC^2 = 128
AC = √128
AC = 8√2 feet
Answer:
$461.15
Step-by-step explanation:
Total amount of items:
Add all the prices together
399.99+24.99+5=429.98
Sales tax:
Convert 7.25% to a decimal
7.25/100=0.0725
Multiply the total by the decimal
429.98*0.0725=31.17355
Final cost:
Add the sales tax and total amount
429.98+31.17355=461.15355
Round to the nearest cent/hundreth
$461.15
Hope this helps! :)