The value of 4 in 864 is 4...because it is in the ones place
the value of 4 in 846 is 40...because it is in the tens place
40/4 = 10...so the value of the 4 in 846 is 10 times greater then the value of 4 in 864
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
Learn more:
You can learn more about the triangles in brainly.com/question/1238144
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Answer:
Step-by-step explanation:
The key to answering this is to know that the only time you'll change the direction of the sign is when you multiply or divide by a negative number.
-46 - 8x > 22
-8x > 22 + 46
-8x > 68
x < 68/-8 (we divided by -8 so the inequality changed direction)
x < -17/2
- Center =

- Radius =

<u>Step-by-step explanation:</u>
Here we have following equation : 
We need to find the center & radius of this circle . Let's find out:
We know that , Equation of a circle is given by :
⇒
........(1)
Here , (h,k) are the co-ordinates of center & r is the radius of circle.Collectively called as a circle with radius r and center at (h,k) . Let's frame given equation in question :
⇒ 
⇒ 
On comparing this equation with equation (1) we get :
- Center =

- Radius =

Answer
A. -30 points
B. 60 points
Step-by-step explanation:
20 points for correct answer and 10 points deducted for wrong answer
Each deduction is -10 while each correct answer gives + 20
4 questions correctly and 11 incorrectly
= 4(20) + 11(-10)
= 80-110 = -30 points
Second round
7 correct, 8 incorrect
= 7(20) - 8(10)
= 140-80 = 60 points