Answer:
6. 60°
7. 5.19559
8. 7.96011
Step-by-step explanation:
6. The sum of angles in a triangle is 180°, so the remaining angle is ...
180° -40° -80° = 60°
7. The lengths of sides are proportional to the sine of the opposite angle (Law of Sines).
a = c·sin(A)/sin(C) = 7·sin(40°)/sin(60°) ≈ 5.19559
8. Same explanation as 7.
b = c·sin(B)/sin(C) = 7·sin(80°)/sin(60°) ≈ 7.96011
Answer:
x>3
Step-by-step explanation:
8x-6>12+2x
Subtract 2x from both sides:
6x-6>12
Add 6 to both sides:
6x>18
Divide both sides by 6:
x>3
Hope this helps!
8/ (1 1/2) = 36/x....8 muffins to 1 1/2 tsp = 36 ( 3 doz) muffins to x tsp
this is a proportion, so we cross multiply
(8)(x) = (1 1/2)(36)
8x = 3/2 * 36
8x = 108/2
8x = 54
x = 54/8
x = 6 3/4 <=== 6 3/4 tsps are needed to make 3 doz muffins
Answer:
24x - 103
Step-by-step explanation:
calculate 24x +18- 121
Answer:
x = 75
Step-by-step explanation:
Triangle BDH
The angle must add to 180 degrees
36+ 39 + DHB = 180
75 + DHB = 180
DBH = 180-75
DHB = 105
DBH + x = 180 since it is a straight line
105+ x = 180
x = 75
