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kolbaska11 [484]
3 years ago
6

In a circle with a radius of 3635 cm, an arc is intercepted by a central angle of 2π7 radians. What is the arc length? Use 3.14

for π and round your final answer to the nearest hundredth.
Mathematics
1 answer:
Romashka [77]3 years ago
4 0
The arc length will be found using the formula:
C=θ/360πd
θ=2/7π=2/7*180=51 3/7°
d=2r=2×3635=7270 cm
hence the arc length will be:
C=(51 3/7)/360×π×7270
C=(1038+4/7)π cm
C=3,262.78 cm (to the nearest hundreth)

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Somebody help me ASAP
xeze [42]

Answer:

10.5

Step-by-step explanation:

14/4 = 3.5

7/2 = 3.5

N/3 = 3.5

N = 10.5

Pls mark Brainiest :)

8 0
3 years ago
Please help, this is geometry
maw [93]

Answer:

4  2/9π   or   4.22 (repeating)π

Step-by-step explanation:

<em>I changed my mind. I'll attempt it.</em>

The formula for finding the arc length: 2\pi (r)(\frac{theta}{360} )

2π(4)(190/360) = 4 2/9π

82% certain the answer you're looking for is 4  2/9π (<em>pi symbol because it asks for it in terms of pi)</em>

3 0
3 years ago
Laura babysat 8 nights during the month of July. She earned $22, $30, $35, $25, $25, $20, and $27 for seven nights. How much did
Svet_ta [14]

Answer:

$28

Step-by-step explanation:

Given:

data = [22,30,35,25,25,20,27]

For eight night, the new list is:

new_data = [22,30,35,25,25,20,27,x]

Mean = 26.50

Mean Formula:

\displaystyle \large{m=\dfrac{x_1+x_2+x_3+...+x_n}{n} }

Therefore:

\displaystyle \large{26.50=\dfrac{22+30+35+25+25+20+27+x}{8}}

Multiply both sides by 8:

\displaystyle \large{26.50\cdot 8=\dfrac{22+30+35+25+25+20+27+x}{8} \cdot 8}\\\displaystyle \large{212=22+30+35+25+25+20+27+x}

Solve for x:

\displaystyle \large{212=22+30+35+25+25+20+27+x}\\\displaystyle \large{212=184+x}

Subtract 184 both sides:

\displaystyle \large{212-184=184+x-184}\\\displaystyle \large{28=x}

Therefore, she will earn $28 in eighth night

The attachment below is the result of combining all eighth data as we get 26.5 through python language with numpy package.

7 0
2 years ago
Read 2 more answers
Francis deposits $11,000 in an IRA. What will be the value of his investment in 9 years if the investment is earning 4.1% per ye
elena-s [515]

Answer:

$15,059

Step-by-step explanation:

4.1 x 9 = 36.9

36.9% of 11,000 = 4059

11,000 + 4,059 = 15,059

6 0
3 years ago
Read 2 more answers
A certain animated movie earned $1.1*10^9 in revenues at the box office. The movie lasts 9.1*10^1 minutes. How much revenue was
Vadim26 [7]

Answer:

$12,087,912.1

Step-by-step explanation:

1.1*10^9  is in scientific notation, to get this into normal number, we take the decimal point and move it "9" times to the right [whatever power of 10 we have, we move to right (if positive).] Then we fillup the rest with zeros.

So we have:

1.1*10^9=1,100,000,000

This is the revenue.

We do similar process for time:

9.1*10^1=91

This is the time , in minutes.

We want revenue PER minute, that means we divide the total revenue by total time, that would be:

\frac{1,100,000,000}{91}=12,087,912.1

The revenue earned per minute is  $12,087,912.1

6 0
3 years ago
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