Answer:

Step-by-step explanation:
Hello there!
The first thing we want to do is find the measure of the large leg
To do so we use the Pythagorean theorem which says 
where a and b are legs and c is the hypotenuse
we want to find b given the hypotenuse and short leg
so 
all we have to do is plug in a ( a = short leg so a would equal 12) and c ( c = hypotenuse so c would equal 37)
so

so the longer leg is equal to 35
35=5x
divide each side by 5
5x/5=x
35/5=7
we're left with x=7
It would be 1/4 because there are 12 inches on a ruler. And if it lands between 3 and 5 there are 3 chances out of 12 that it will land between 3 and 5. 3/12 simplifies to 1/4
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
#LearnwithBrainly
19200 all you have to do to figure this out is multiply 100 times 8 since the is 8 halfs in 4 hours.
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