From the law of sines, we have
where 
is the leg we're interested in, 
is the hypothenuse, 
is the angle opposite to , and 
is the angle between and .
So, in the first case, we can use
And in the second excercise, we use
Answer:
(a+b)^2+(a-b)^2=2(a^2+b^2)
expanding:
a² + 2ab + b² + a² -2ab + b² = 2a² + 2b²
2a² + 2b² = 2a² + 2b²
Answer:
They used 6 vans and 3 buses
Step-by-step explanation:
x + y= 9
13x + 40y= 198
x= 9 - y
13(9 - y) + 40y= 198
117 - 13y + 40y= 198
27y= 81
y= 3
9-3= 6
Answer:
3x + 4 = 12 :- x = 8 / 3
Step-by-step explanation:
3x + 4 = 12
Move all terms not containing x to the right side of the equation.
Subtract 4 from both sides of the equation.
3x = 12 - 4
Subtract 4 from 12.
3x = 8
Divide each term by 3 and simplify.
Divide each term in 3x = 8 by 3.
3x / 3 = 8 / 3
Cancel the common factor of 3.
Divide x by 1.
x = 8 / 3
The result can be shown in multiple forms.
Exact Form:
x = 8 / 3
Decimal Form:
x = 2.6
Mixed Number Form:
x = 2 2/3
Answer:
9) 1/48
11) 1/24
13) 5/16
14) 1/8
Step-by-step explanation:
9) P(A and 5) = 1/8 × 1/6
11) P(J and LT 3) = 1/8 x 2/6
13) P (consonant and odd) = 5/8 x 1/2
14) P ('M' or 'T' and GT 3) = [(1/8+1/8) × 1/2] = 2/8 x 1/2
