Use the figure to find x.
1 answer:
Answer:
Step-by-step explanation:
The sides of a 30-60-90 triangle are in the ratio 1:√3:2
The side opposite the 30° angle is (12√6)÷2 = 6/√6.
The side opposite the 60° angle is √3×6/√6 = 6/√2 =3√2.
The sides of a 45-45-90 triangle are in the ratio 1:1:√2
The hypotenuse is 3√2, so the side opposite the 45° angle is 3.
x = 3
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We convert 2.3181818 to fraction as follows:
Let x = 2.3181818 . . . . . (1)
as can be seen, the repeating digits are 18
Multiply both sides of equation (1) by 1,000 to get
1,000x = 2318.1818 . . . . . (2)
Also, multiply both sides of equation (1) by 10 to get
10x = 23.181818 . . . . . (3)
Subtract equation (3) from equation (2) to get
990x = 2,295
Thus,
Let x = 2.3181818 . . . . . (1)
as can be seen, the repeating digits are 18
Multiply both sides of equation (1) by 1,000 to get
1,000x = 2318.1818 . . . . . (2)
Also, multiply both sides of equation (1) by 10 to get
10x = 23.181818 . . . . . (3)
Subtract equation (3) from equation (2) to get
990x = 2,295
Thus,