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Tems11 [23]
3 years ago
9

What is the length of radius to the nearest tenth of an inch?

Mathematics
2 answers:
laila [671]3 years ago
4 0

Answer:

3.1 in

Step-by-step explanation:

In any circle the following ratios are equal

\frac{arc}{circumference} = \frac{angleatcentre}{2\pi }

\frac{4}{2r\pi } = \frac{\frac{5\pi }{12} }{2\pi }

\frac{4}{2r\pi } = \frac{5}{24} ( cross- multiply )

10πr = 96 ( divide both sides by 10π )

r = \frac{96}{10\pi } = 3.1 in ( nearest tenth )


mixas84 [53]3 years ago
3 0

Answer:

radius = arc length / central angle in radians

radius = 4 inches / 5*PI / 12

radius = 4 / 1.308996939 radians

radius = 3.0557749074

radius = 3.0557749074 inches



Step-by-step explanation:


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given two terms in a geometric sequence find the 8th term and the recursive formula . a4=-12 and a5=-6
Crazy boy [7]

A geometric sequence is defined by a starting point, a, and a common ratio r

The first term is a, and you get every next term by multiplying the previous one by r.

So, our terms are

\left[\begin{array}{c|c}a_1&a\\a_2&ar\\a_3&ar^2\\a_4&ar^3=-12\\a_5&ar^4=-6\end{array}\right]

We can see that when we pass from a_4 to a_5 the number gets halved (-12 \mapsto -6)

This implies that the common ratio is r = \frac{1}{2}

So, the table becomes

\left[\begin{array}{c|c}a_1&a\\a_2&\frac{1}{2}a\\a_3&\frac{1}{4}a\\a_4&\frac{1}{8}a=-12\\a_5&\frac{1}{16}a=-6\end{array}\right]

So, we can derive the starting point from either a_4 or a_5:

\dfrac{1}{8}a = -12 \iff a = -12\cdot 8 = -96

The sequence is thus

\left[\begin{array}{c|c}a_1&-96\\a_2&-48\\a_3&-24\\a_4&-12\\a_5&-6\\a_6&-3\\\vdots&\vdots\end{array}\right]

And the recursive formula is

a_n = -\dfrac{96}{2^{n-1}}

7 0
4 years ago
What is one tenth of .5
malfutka [58]
0.05 would be 1/10 of 0.5
8 0
4 years ago
For isosceles triangles with a = ????, show the law of cosines can be written as cos(????) = 1 − c2 / 2a2.
Law Incorporation [45]

cant help when you put question marks!

please do this better!

4 0
4 years ago
Brand A scooter has a top speed that goes 4 miles per hour faster than Brand B. If after 5 hours, Brand A scooter traveled 75 mi
Travka [436]

Answer:

11MPH

Step-by-step explanation:

I DIVIDED 75 AND 5 =11  HOPE THIS HELP

5 0
3 years ago
Savannah got her hair done. If it costs $120 and she tips her hairdresser 18%, how much tip will her hairdresser receive
frozen [14]

Answer:

21.6

Step-by-step explanation:

Do  0.18 (18%) times 120

4 0
3 years ago
Read 2 more answers
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