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3 years ago

A circle has the radius of 4 cm. Find the length s of the arc intercepted by a central angle of pie/4 radians.

Mathematics

1 answer:

alexgriva [62]3 years ago

3 0

Answer:

3.1 cm

Step-by-step explanation:

S = r × theta

S = 4 × pi/4

S = pi

S = 3.14 cm

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What is the sum of the arithmetic series

docker41 [41]

Answer:

$S_ {12} = 192$

Step-by-step explanation:

The nth term of the given arithmetic sequence is

$U_n = 3 + 2n$

The first term of this series is:

$U_1 = 3 + 2(1) = 5$

The last term of this series is when

$n = 12$

$U_ {12}= 3 + 2(12)$

$U_ {12}= 3 + 24 = 27$

The sum of the first n terms of an arithmetic series when the first an last term is known is given by:

$S_n = \frac{n}{2}(a + l)$

Where a=5 is the first term and l=27 is the last term.

$S_ {12} = \frac{12}{2}(5 + 27)$

$S_ {12} =6(32) =19 2$

6 0

3 years ago

Divide 5 in a ratio of 1:2:3

anastassius [24]

In plain and short, we simply divide 5 by (1+2+3) and then distribute the pieces likewise

$\bf 5\qquad 1:2:3\qquad \cfrac{5}{1+2+3}\implies \cfrac{5}{6}
\\\\\\
\stackrel{\textit{ratio of 1}}{1\left( \frac{5}{6} \right)}\qquad \stackrel{\textit{ratio of 2}}{2\left( \frac{5}{6} \right)}\qquad \stackrel{\textit{ratio of 3}}{3\left( \frac{5}{6} \right)}\qquad \implies \qquad \frac{5}{6}~:~\frac{5}{3}~:~\frac{5}{2}$

add the ratios up, and you'll get 5.

4 0

2 years ago

I really dont get this:( i need some answers!

scZoUnD [109]

The answer would be the first option.

3 0

3 years ago

There are 20 percent more goblins than wizards in magic club. There are 120 goblins in magic club.

sineoko [7]

Answer:

144

Step-by-step explanation:

120 x 1.20 = 144

.20 is 20% and adding the 1 adds it to the original value

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2 years ago

Can sum kne s help I need it

Reika [66]

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2 years ago

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