Area of polygon ABCDE will be summation of all the areas of triangle = 7.95 + 9.8 + 8.75 = 26.5 square units.
B. c = ((3)sin45°)/sin40°
Side a is given information: 3cm, and we can find angle A (which is the angle opposite side a) by subtracting the other two angles from 180 because the total interior angle measures of a triangle add to equal 180°.
Angle A = 180 - (95+45) = 40°.
This can be substituted into the equation for the law of sines.
sin(40)°/3 = sin(45)°/c
—Cross multiply
c•sin(40)° = 3•sin(45)°
—divide both sides by sin40 to get the variable c alone and we get:
c = (3)sin(45°)/sin(40°)
this also simplifies to 3.3 cm.
Step-by-step explanation:
-6x + 5 > -1
-6x > -6 (subtract 5 on both sides)
x < 1 (divide -6 on both sides, flip the sign)
Hence the answer is x < 1.
Well you can graph it by plotting 3 points then drawing a line through these 3 points. The graph will be a straight line . By plotting 3 points you can be more sure if you are right, because if you make a mistake then they might not make a straight line.
Put y = 0 in the equation and find the x coordinate:-
x + 5(0) = -20
x = -20
So we have one point to plot:- (-20,0)
Putting x = 0 we get 5y = -20 so y = -4
Second point:- (0, -4)
Putting x = 5 say we get 4 + 5y = -20 so y = -25/5 = -5
so our 3rd point is (5, -5)
Answer:
Step-by-step explanation:
-1+2x=6x+11
-4x=12
X=-3