Answer:
Pythagorean’s theorem states that if a^2 + b^2 = c^2 where c is the hypotenuse and a and b are the side lengths of the right triangle
Given that we can plug in
a= 6 , b = 8 , c = 10
We get an equation:
6^2 + 8^2 = 10^2
36 + 64 = 100
100 = 100
Answer:
36
Step-by-step explanation:
When you multiply -6 x -6 you get 36.
Hope this helps:)
Answer:
$110
Step-by-step explanation:
Let a, b, and c represent the earnings of Alan, Bob, and Charles. The problem statement tells us ...
a + b + c = 480 . . . . . . the combined total of their earnings
-a + b = 40 . . . . . . . . . . Bob earned 40 more than Alan
2a - c = 0 . . . . . . . . . . . Charles earned twice as much as Alan
Adding the first and third equations, we get ...
(a + b + c) + (2a - c) = (480) + (0)
3a + b = 480
Subtracting the second equation gives ...
(3a +b) - (-a +b) = (480) -(40)
4a = 440 . . . . . . . . simplify
a = 110 . . . . . . . . . . divide by the coefficient of a
Alan earned $110.
_____
<em>Check</em>
Bob earned $40 more, so $150. Charles earned twice as much, so $220.
The total is then $110 +150 +220 = $480 . . . . as required
Answer:
The border will be 18.6 inches wide
Step-by-step explanation:
<em>Let the width be w</em>
<em>The length = 43 inches</em>
<em>Total wood = 800 square inches</em>
Formula for area of rectangle = length x width
<em>800 = 43 x w</em>
<em>w = 800/43</em>
w = 18.6 inches
Therefore, the border will be 18.6 inches wide.
!!
Answer:
5/4
Step-by-step explanation:
hope this helps ;)