Answer: BM = 21.4
Step-by-step explanation:
Considering the given triangle BMS, to determine angle BM, we would apply the sine rule. It is expressed as
m/SinM = s/SinS = b/SinB
Where m, s and b are the length of each side of the triangle and angle M, Angle S and angle B are the corresponding angles of the triangle.
From the information given,
Angle M = 102°
Angle B = 35°
Angle S = 180 - (102 + 35) = 43°
b = MS = 18
s = BM
Therefore
18/Sin 35 = BM/Sin 43
Cross multiplying, it becomes
BMSin35 = 18 × Sin 43
BM × 0.5736 = 18 × 0.6820
0.5736BM = 12.276
Dividing the left hand side and the right hand side of the equation by 0.5736, it becomes
0.5736BM/0.5736 = 12.276/0.5736
BM = 21.4
Answer:
(3, 2), (2, 3)
Step-by-step explanation:
x + y = 5
xy = 6
Solve the first equation for x.
x = 5 - y
Substitute 5 - y for x in the second equation.
xy = 6
(5 - y)y = 6
5y - y² = 6
y² - 5y + 6 = 0
Factor.
(y - 2)(y - 3) = 0
y - 2 = 0 or y - 3 = 0
y = 2 or y = 3
Now substitute 2 for y in the first equation and solve for x.
x + y = 5
x + 2 = 5
x = 3
One solution is x = 3; y = 2, or (3, 2).
Now substitute 3 for y in the first equation and solve for x.
x + y = 5
x + 3 = 5
x = 2
Another solution is x = 2; y = 3, or (3, 2).
Answer: (3, 2), (2, 3)
Answer:
i would say C
Step-by-step explanation:
Answer: 0.6
Reason: 3 divide by 5 is 0.6
