Answer: the integers that is a Pythagorean triple and are the side lengths of a right triangle is
C. 9, 40, 41
Step-by-step explanation:
A Pythagorean triple is a set of three numbers which satisfy the Pythagoras theorem. The Pythagoras theorem is expressed as
Hypotenuse^2 = opposite side^2 + adjacent side^2
Let us try each set of numbers.
A. 20,23,28
28^2 = 20^ + 23^2
784 = 400 + 529 = 929
Since both sides of the equation are not equal, the set of numbers is not a Pythagoras triple.
B. 18, 26, 44
44^2 = 18^ + 26^2
1936 = 324 + 676 = 1000
Since both sides of the equation are not equal, the set of numbers is not a Pythagoras triple.
C. 9, 40, 41
41^2 = 9^ + 40^2
1681 = 81 + 1600 = 1681
Since both sides of the equation are equal, the set of numbers is a Pythagoras triple.
D. 8, 20, 32
32^2 = 20^ + 8^2
1024 = 400 + 64 = 464
Since both sides of the equation are not equal, the set of numbers is not a Pythagoras triple.
Answer:
$28.75
Step-by-step explanation:
you need $40 and you have $11.25, so you subtract 40-11.25 which gives you 28.75. You need $28.75
Answer:
The expression is 4x² and coefficient is 4.
Step-by-step explanation:
All have the same variables, x², so you add up together :


Answer:
The markup rate on each box=41%
Step-by-step explanation:
The markup rate is the additional price that a good is sold at expressed as a percentage. This can be expressed as;
R={(S-C)/C}×100
where;
R=markup rate
S=selling price
C=cost
In our case;
R=unknown
S=$20.50
C=$14.50
replacing;
R={(20.5-14.5)/14.5}×100
R=(6/14.5)×100
R=41.38% rounded off=41%
The markup rate on each box=41%