Ah yes, good ol’ Pythagorean’s theorem.
The hypotenuse is the opposite of the 90 degree angle, the longest side of the triangle.
The legs are opposite of the acute angles
Formula: a^2 + b^2 = c^2
2:
Let’s plug in some values
(6)^2 + (3)^2 = c^2
C = 6.7
The side will be 6.7 units
3)
Let’s plug in some values
(13.3)^2 = (9.7)^2 + (b)^2
(13.3)^2 - (9.7)^2 = b^2
176.89 - 94.09 = b^2
b = 9.1
The side will be 9.1 units
Check the picture below.
notice the bottom part of the picture, just using the tangent of the angle, we can get the angle itself, and you'd know what "x" and "y" are from the above part.
how much farther would they have to walk up? well, the hypotenuse of the longer triangle is "h", the hypotenuse of the shorter triangle is 122, so, they'd have to walk " h - 122 " more.
1)
evaluate when x = 6
5 + x
so when x = 6 then 5 + 6 = 11
answer
11
2)
2/6
in lowest term = 1/3 (divide top and bottom by 2)
3)
evaluate when x = 1
8 + x
so when x = 1 then 8 + 1 = 9
answer: 9
4)
14/48
lowest term = 7/24 (divide top and bottom by 2)
3.2 × 10^−4 m/hr(100cm/m) = 3.2 x 10^-2 cm/hr
3.2 x 10^-2 cm/hr/(3600 sec/hr) = 8.889 x 10^-6
<span>choice (A)</span>