Answer:
☐ -2 < 2x + 4
☐ -3x - 2 > 5
Step-by-step explanation:
-3x - 2 > 5
+ 2 + 2
___________
-3x > 7
___ ___
-3 -3
x < -2⅓ [Anytime you <em>divide</em> or <em>multiply</em> by a negative, reverse the inequality symbol.]
-2 < 2x + 4
-4 - 4
___________
-6 < 2x
__ ___
2 2
-3 < x
If you plug in -3 for <em>x < -2</em><em>⅓</em><em>,</em><em> </em>you will see that it is a genuine statement because the more higher a negative gets, the lesser the integer will be, so in this case, -3 IS <em>less</em><em> </em><em>than</em><em> </em>-2⅓.
I am joyous to assist you anytime.
** If it is not multi-select, then choose <em>-2 < 2x + </em><em>4</em><em>.</em>
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Answer:
(a) cos(55°) = 11/x
Step-by-step explanation:
The marked sides are the hypotenuse (x) and the side adjacent to the given angle (11). Then the relevant trig ratio is ...
Cos = Adjacent/Hypotenuse
cos(55°) = 11/x
To find the area of the shaded region, you can split it up into simpler shapes, like a rectangle and trapezoid, or even further into two rectangles and a triangle (see attachment).
The total area of the shaded region is then
The total area of the entire rectangle is
, which means the area of the unshaded region is