What is the first term of the geometric sequence presented in the table below?

1 answer:

8 0

176 = a1 * r^4
704 = a1 * r^6

dividing:-

r^2 = 706/174 = 4 so r = +/- 2

a1 = 176 / 2^4 = 176/16 = 11

So 11 is the first term

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How far does the tip of the minute hand of a clock move in 1 hour and 27 minutes if the hand is 2 inches long?

Nesterboy [21]

So, a full circle has 360°, thus when the minute hand does one hour, it does a full circle, therefore 360°.

now, how many degrees are there in 1 minute? well, there are 60 minutes in 360°, therefore there are 360/60 degrees in 1 minute, or 6°.

now, we know in 1 hour there are 360°, how many in 27 minutes? well, 27 * 6, or 162°. So after 1hr and 27min, the minute hand has done 360+162 or 522°.

we also know the minute hand is 2 inches long, thus

$\bf \textit{arc's length}\\\\
s=\cfrac{\pi \theta r}{180}\quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
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3 years ago

Simplify: <img src="https://tex.z-dn.net/?f=4%5Csqrt%7B320%7D%20-%203%5Csqrt%7B80%7D" id="TexFormula1" title="4\sqrt{320} - 3\sq

aleksandrvk [35]

Answer:

20 √ 5

Step-by-step explanation:

1. You'll need to simplify each term. You'll get 32 √ 5-12 √ 5.

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3 years ago

Please help #12 10 points

eimsori [14]

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2. now you have
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vaieri [72.5K]

Answer:

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Step-by-step explanation:

a standard form is ax+by=c

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7 0

3 years ago

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