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3 years ago

10

Help asap!!!

1 answer:

dangina [55]3 years ago

3 0

$\bf \textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ r=6.5\\ s=5.7 \end{cases}\implies 5.7=\cfrac{\theta \pi (6.5)}{180}\implies 1026=6.5\pi \theta \\\\\\ \cfrac{1026}{6.5\pi }=\theta \implies \stackrel{\textit{rounded up, using }\pi =3.14}{50.27=\theta }$

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A large bag contains 5/12 pounds of nails. How many 1/8 pounds bags can be filled with this amount of nails?

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so, three bags can be filled and 0.33 or 0.33*(1/3) =11/100 nails will be left

Step-by-step explanation:

We will get the number of bags that can be filled from 5/12 by dividing the total amount by the 1/8

Given

Total nails in bag = 5/12 pounds

The capacity of small bag = 1/8 pounds

So,

$Number\ of\ bags = \frac{\frac{5}{12}}{\frac{1}{8}}\\Simplifying\\=\frac{5}{12}*\frac{8}{1}\\=\frac{40}{12}\\=3.33\ bags$

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Keywords: Division, Quotient

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3 years ago

V=pir2h. Solve for pi

Fynjy0 [20]

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3 years ago

Which is the measure of the reference angle for 227 degrees ?

Levart [38]

Answer:

C. 47°

Step-by-step explanation:

The angle between the terminal ray of 227° and the nearest x-axis (the negative x-axis) is ...

227° -180° = 47°

The reference angle is 47°.

_____

In mathematical terms the reference angle is the minimum of the angle modulo 180° and the supplement of that angle.

227° modulo 180° = 47°

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3 years ago