Pythagorean Theorem:
a^2 + b^2 = c^2
10. 144 + 196 = 340
Yes, it is a right triangle
11. 256 + 361 does not equal 684 so it is not a right triangle
Answer:
3.5 YARD
Step-by-step explanation:
3.5 x 3= 10.5x12= 126
Answer:
Step-by-step explanation:
(f-g)(x) = f(x)- g(x)
= 3x - 1 - ( x + 2)
=3x - 1 - x - 2
= 2x - 3
If x represents the width of the poster (including borders), the area of the finished poster can be written as
.. a = x*(390/(x -10) +8)
.. = 8x +390 +3900/(x -10)
Then the derivative with respect to x is
.. da/dx = 8 -3900/(x -10)^2
This is zero at the minimum area, where
.. x = √(3900/8) +10 ≈ 32.08 . . . . cm
The height is then
.. 390/(x -10) +8 = 8 +2√78 ≈ 25.66 . . . . cm
The poster with the smallest area is 32.08 cm wide by 25.66 cm tall.
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In these "border" problems, the smallest area will have the same overall dimension ratio that the borders have. Here, the poster is 10/8 = 1.25 times as wide as it is high.
The numbers are 15,18
They add to 33 and a difference of 3
