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4 years ago

At the farmer's market, there is a scale that measures the weight of fruit and vegetables. The needle is 16cm long, and it rotat

ed 68º when Danielle placed six oranges on it. How far did the needle travel as it rotated?
A. 272π/45
B. 45π/272
C. 1088π
D. 544π

Mathematics

1 answer:

Rasek [7]4 years ago

4 0

$\bf \textit{arc's length}\\\\
s=\cfrac{\theta \pi r}{180}\quad 
\begin{cases}
r=radius\\
\theta =angle\ in\\
\qquad degrees\\
-------\\
r=16\\
\theta =68
\end{cases}\implies s=\cfrac{68\cdot \pi \cdot 16}{180}\implies \cfrac{272\pi }{45}$

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swat32

Answer:

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2) city A to city B

3) city B to city C

Step-by-step explanation:

step 1

Find the value of x

Remember that

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substitute the given values and solve for x

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Group terms

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step 2

Find the measure of each angle

A=(2x-5)°------> A=2(46)-5=87°

B=(x-1)° -------> B=46-1=45°

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Let

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c -----> travel from city A to city B

we know that

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The greater angle is angle A, the side opposite the greater angle is the side a (travel from city B to city C)

The lesser angle is angle B, the side opposite the greater angle is the side b (travel from city C to city A)

therefore

The lengths of the legs of the trip in order from least to greatest is

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