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ad-work [718]
3 years ago
6

Consider the circle with a 4 centimeter radius. If the length of major arc RT is 64 9 π, what is the measure of ∠RST?

Mathematics
2 answers:
grin007 [14]3 years ago
8 0
25 degrees is the correct answer
Drupady [299]3 years ago
6 0

Answer: The answer in 20° in USA TestPrep

Step-by-step explanation:

S=2πr× n°/360°

n°=360s/2πr= 360(64π/9)/2π(4)=320

This,∆H=360-320=40

Then, ∆RST=1/2 ∆H= 1/2(40)=20

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3 years ago
Points P and Q belong to segment AB . If AB = a, AP = 2PQ = 2QB, find the distance: midpoints between AP QB
Digiron [165]

Answer: The distace between midpoints of AP and QB is \frac{a}{8}.

Step-by-step explanation: Points P and Q are between points A and B and the segment AB measures a, then:

AP + PQ + QB = a

According to the question, AP = 2 PQ = 2QB, so:

PQ = \frac{AP}{2}

QB = \frac{AP}{2}

Substituing:

AP + 2*(\frac{AP}{2}) = a

2AP = a

AP = \frac{a}{2}

Since the distance is between midpoints of AP and QB:

2QB = AP

QB = \frac{AP}{2}

QB = \frac{a}{2}*\frac{1}{2}

QB = \frac{a}{4}

MIdpoint is the point that divides the segment in half, so:

<u>Midpoint of AP</u>:

\frac{AP}{2} = \frac{a}{2}*\frac{1}{2}

\frac{AP}{2} = \frac{a}{4}

<u>Midpoint of QB</u>:

\frac{QB}{2} = \frac{a}{4}*\frac{1}{2}

\frac{QB}{2} = \frac{a}{8}

The distance is:

d = \frac{a}{4} - \frac{a}{8}

d = \frac{a}{8}

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3 years ago
Solve for a ab + c = d
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A dinner costs $89.75<br> Your share of the bill is 20%.<br> The best estimate of your share is:
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Answer:

17.95

Step-by-step explanation:

x over 20 89.75 over 100 then cross multiply

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