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Olegator [25]
3 years ago
13

A circle with circumferemce 18 has a arc with a 120 degrees central angle. What is the length of the arc

Mathematics
1 answer:
goldenfox [79]3 years ago
3 0

360°=18

120°=x

x=120*18/360=6

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select the correct answer a staircase of 30 meters. in length is supported on the wall. The foot of the ladder is 18 meters from
serious [3.7K]

Answer:

i think answer is 16m .................

7 0
3 years ago
which complex number has a distance of √17 from the origin on the complex plane?a. 2 15ib. 17 ic. 20 - 3id. 4 - i
Rus_ich [418]
Let z=a+bi. |z| = \sqrt{a^2+b^2}, so:
|z_a| = \sqrt{0+15^2} = 15 \neq \sqrt{17} \\ |z_b| = \sqrt{0+17^2} = 17\neq \sqrt{17} \\ |z_c| = \sqrt{20^2+3^2} \ \textgreater \ \sqrt{20^2} = 20\ \textgreater \ \sqrt{17} \\\\ \boxed{|z_d| = \sqrt{4^2+1^2} = \sqrt{16+1} = \sqrt{17}}
4 0
4 years ago
Find the zeros of 7=x^2-8x-3 by completing the square
enot [183]

Using the completing the square method, for the equation, we have the zeros as <u>x = √26 + 4 and x = 4 - √26</u>

<h3>How can the zeros be found using completing the square method?</h3>

The given equation is presented as follows

7 = \mathbf{ {x}^{2}  - 8x - 3}

Which, by completing the square, gives;

{x}^{2}  - 8x - 3 - 7 = 0

{x}^{2}  - 8x - 10 = 0

{x}^{2}  - 8x  +   {\left(\frac{8}{2} \right) }^{2} - 10  -  {\left(\frac{8}{2} \right) }^{2} = 0

\mathbf{{(x - 4)}^{2} }   =26

The zeros of the equation;

7 =  {x}^{2}  - 8x - 3

are;

\underline{x = \pm \sqrt{26}  + 4}

Learn more about completing the square here:

brainly.com/question/10449635

#SPJ1

4 0
2 years ago
Evaluate the geometric series
JulijaS [17]

Answer:

Option B is correct.

sum of given geometric series is, 255

Step-by-step explanation:

Evaluate the geometric series: \sum_{i=1}^{8} 2^{i-1}

we can write this as:

1+2+4+.......+128

Formula for the sum of the geometric series:

S_n = \frac{a(r^n-1)}{r-1} for r > 1

where

a is the first term

n is the number of terms

r is the common ratio

In the given series:

common ratio (r) = 2>1, n = 8 and first term(a) = 1

Since,

\frac{2}{1} = 2

\frac{4}{2} = 2 and so on...

then substitute the given values in [1] we have;

S_n = \frac{1((2)^8-1)}{2-1}

or

S_n = 256-1 = 255

Therefore, the sum of given geometric series is, 255



6 0
3 years ago
Read 2 more answers
PLEASE HELP LOTS OF POINTS
Cloud [144]

Answer:

Yes

Step-by-step explanation:

they are on the same plane

5 0
3 years ago
Read 2 more answers
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