Step-by-step explanation:
2 things to remember for problems like this :
the sum of all angles in a triangle is always 180 degrees.
the law of sines :
a/sin(A) = b/sin(B) = c/sin(C) or upside-down (whatever fuss the situation better), with the sides being always opposite of the angles.
so, now for the given problems :
4.
x/sin(90) = 12/sin(29)
x/1 = x = 12/sin(29) = 24.75198408...
rounded x = 24.8
5.
the opposite angle of x is
180 - 90 - 16 = 74 degrees.
x/sin(74) = 37/sin(90) = 37
x = 37×sin(74) = 35.56668275...
rounded x = 35.6
6.
the opposite angle of x is
180 - 90 - 58 = 32 degrees.
x/sin(32) = 22/sin(58)
x = 22×sin(32)/sin(58) = 13.74712574...
rounded x = 13.7
7.
the opposite angle of 15 is
180 - 90 - 51 = 39 degrees.
x/sin(51) = 15/sin(39)
x = 15×sin(51)/sin(39) = 18.52345735...
rounded x = 18.5
Answer:
$0.45
Step-by-step explanation:
ratio is 2:4:3
total is 9
270 ÷ 9 = 30
smoll
60 × 0.25 = $15
med
120 × 0.30 = $36
Big
91.50 - 15 - 36 = 40.5
40.5 ÷ 90 = $0.45
Answer:
n = 6
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin30° = 
, then
sin30° = 
= 
= ( cross- multiply )
2n = 12 ( divide both sides by 2 )
n = 6
Step-by-step explanation:
X-coordinate : (-18+0)/2 = -9.
Y-coordinate = (-2+6)/2 = 2.
Hence M(-9,2).
