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IgorC [24]
3 years ago
7

What is the constant of proportionality for the relationship between the length of the arc intercepted by a 80 degree angle and

the radius of the circle?
Mathematics
1 answer:
Over [174]3 years ago
3 0
So the length of the arc is given by: l = r*theta, here theta is the intercepted angle in unit radian

So, 80 degrees = 80/360 * 2pi = 4/9 * pi 

So l = r * (4/9 * pi), the constant ratio is 4/9 * pi
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167, 15, -65, -110, -197, -200
4 0
3 years ago
Given: △ABC, m∠C=90° m∠ABC=30°, AL ∠ bisector CL=6 ft. Find: LB
vlada-n [284]

For a better understanding of the solution given here please go through the diagram in the file attached.

To solve this question we will make use of the "Triangle Angle Bisector Theorem", which states that, "An angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle."

Thus, in our question, we will have:

\frac{LB}{CL}= \frac{AB}{AC}

The above equation can be rearranged as:

LB=CL\times \frac{AB}{AC}=\frac{CL}{(\frac{AC}{AB})}...(Equation 1)

If we have a proper look at the denominator which is \frac{AC}{AB}, we note that in \Delta ABC, \frac{AC}{AB}=Sin(\angle ABC)=Sin(30^\circ)

Thus, (Equation 1) wil give us:

LB=\frac{CL}{Sin(30^\circ)} =\frac{6}{0.5}=12

<u>Therefore, LB= 12 feet</u>

3 0
3 years ago
QUICK HELP PLEASE WILL GIVE BRAINLIEST
Free_Kalibri [48]

is it multiple choice


7 0
3 years ago
Somebody’s please help me with this it’s due tomorrow and I don’t have any idea how to do it
svet-max [94.6K]

Answer:

1) They will stop 10 times for a break

2) A baker can make 10 cakes

3) Tammy will distrubute 36 bags with 2 1/2 pounds of candy

Step-by-step explanation:

Let me know if you have any questions !

Hope it helps

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3 years ago
A newspaper reporter wrote an article about a recent football game 8749 people attended the game but the reporter rounded the nu
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Answer:

your answer would be .

Step-by-step explanation:

8750

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