The length of the side BC is 6√3 inches
Step-by-step explanation:
Let us revise the sine rule
In Δ XYZ
- The side XY is opposite to angle Z
- The side YZ is opposite to angle X
- The side XZ is opposite to angle Y
- The sine rule is
In Δ ABC
∵ m∠A = 60°
∵ m∠C = 30°
∵ AB = 6 inches
- By using the sine rule
∵ AB is opposite to ∠C
∵ BC is opposite to ∠A
∵
∴
- By using cross multiplication
∴ BC × sin(30) = 6 × sin(60)
∵ sin(30) =
and sin(60) =
∴
BC = 6(
)
∴
BC = 
- Multiply both sides by 2
∴ BC = 6√3
The length of the side BC is 6√3 inches
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Answer:
A program at a community college can be completed in no fewer than 8 months, but must be completed in less than 11 months.
Step-by-step explanation:
1. The closed dot means the number is equal to and the open dot means the number is less/ greater than
2. The line goes right from the 8 with a closed dot, making x greater than or equal to 8
3. The line goes left from the 11 with an open dot, making x less than ll
4. This means the number must be equal to or greater than 8, and less than 11
B is a times b
C is also a times b
sorry im stuck on the rest
A. 2/5
B.2/5
C. The slope of ABC and AGH are equal
Answer:
(3, 3 )
Step-by-step explanation:
Under a translation < 8, 0 > then
A(- 5, - 3 ) → (- 5 + 8, - 3 + 0 ) → (3, - 3 )
The line with equation y = 0 is the x- axis
Under a reflection in the x- axis
a point (x, y ) → (x, - y ), thus
(3, - 3 ) → (3, 3 )