The set of side lengths that form a right triangle is 7, 24, 25
Explanation:
We can solve this using the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, a^2 + b^2 = c^2. We can plug each set of numbers into the equation, one by one, to see if the set of numbers is true in the equation. One thing to note is that the largest number out of the set is always the hypotenuse, or c. The other numbers are the legs (a and b.)
5, 11, 13
a^2 + b^2 = c^2
(5)^2 + (11)^2 = (13)^2
25 + 121 = 169
146 ≠ 169
Since 146 doesn't equal 169, this is NOT a right triangle
9, 24, 25
a^2 + b^2 = c^2
(9)^2 + (24)^2 = (25)^2
81 + 576 = 625
657 ≠ 625
Since 657 doesn't equal 625, this is NOT a right triangle
7, 24, 25
a^2 + b^2 = c^2
(7)^2 + (24)^2 = (25)^2
49 + 576 = 625
625 = 625
This equation is true, because 625 = 625. Therefore this IS a right triangle.
Answer:
$360.
Step-by-step explanation:
First we need to find how much it costs for a single case of printer paper.
48 ÷ 2 = 24
It costs $24 to buy one case of 12 packages.
Now we have to figure out how many cases we will need to buy for the total amount of 180 packages.
I will divide 12 from 180.
180/12 = 15.
You will need to buy 15 cases to get 180 packages.
Now to find the cost, we have to multiply.
x = 15 (amount of cases)
y = $24 (price of case)
z = How much it costs.
Substitute:
Multiply:
If the price does not change, the total cost of next month's order will be $360.
Answer:
a) y= 8x+90 b) 154 pounds
Step-by-step explanation:
a) 90 will be the initial value (b) and 8 will be the slope (m)
this gives the linear function :
y = 8x + 90
b) to find his weight after 8 weeks plug in x=8
y= 64+90
y=154
154 pounds
Answer:
1: 5/20 2: 1 2/20
Step-by-step explanation:
multiply ti to get 20 and multiply the numerator with it
Answer:
126
Step-by-step explanation:
2=1³+1
9=2³+1
28=3³+1
65=4³+1
=>5³+1=126
The rule is: n³+1
