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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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Five siblings have a combined age of 195 years. The oldest is 13 years older than the youngest Marc the middle child Anne is fiv
lidiya [134]
This is what someone else answered when someone else asked it. I can't explain it better than this.





So five sibbllings ages are repressented as
a,b,c,d,e
let's have a as youngest and e as oldest in that order
total ages are 195 so
a+b+c+d+e=195
oldest is 13 older thatn youngest
e=13+a
middle child anne (c) is 5 years younger than josie who is an unknow position, we know that she could be d or e or oldest or second oldest
the other 2 are 6 years appart
b and d ar e 6 years appart or b and e are 6 years apart? or is josie the oldest, or second oldest?

second oldes is 42 so
d=42

2 scenarios
if josie is oldest, then see AAAA and if josie is second oldest then see BBBB

AAAA
josie is 13 years older than mark
e=13+a
anne is 5 less than josie
c=e-5
the other 2 are 6 years apart
b+6=d
d=42
subsitute and get
b=36
add and get
78+a+c+e=195
a+c+e=117
e-13+e-5+e=117
3e-18=117
add 18 to both sides
3e=135
divided both sides by 3
e=45
subsitute
a=32
b=36
c=40
d=42
e=45


BBBB
oldest is 13 older than youngest
e=13+a
middle is 5 younger than josie (d)
c=d-5
the other 2 are 6 apart
b=e-6
d=42
subsitute
c=37
subsitute
a+b+37+42+e=195
a+b+e+79=195
subtract 79 from both sides
a+b+e=116
subsitute
e-13+e-6+e=116
3e-19=116
add 19 to both sides
3e=135
divide both sides by 3
e=45
subsitute
45-6=39=b
45-13=32=a
c=42-5=37
this is wrong because b cannot be older than c so therefor AAA si the correct answer


THE ANSWER IS
Josie is the oldest=45
Unknown is second oldest=42
Anne is middle=40
Unknown2 is second youngest=36
Mark is the youngest=32
5 0
3 years ago
each unit square of a 3-by-3 unit-square grid is to be colored either blue or red. for each square, either color is equally like
makkiz [27]

The probability of obtaining a grid that does not have a 2-by-2 red square 16 2/3%

probability : The probability of an event can be calculated by means of probability formula via honestly dividing the favorable quantity of outcomes by way of the total variety of viable consequences.

<u>Step-by using-step clarification:</u>

<u>given that:</u>

form are both square or circle with both equally likely :

for this reason,

P(square) = half of ; P(circle) = half of

color are either blue, pink or inexperienced with the 3 equally likely ;

P(purple) = 1/3 ; P(green) = 1/three ; P(blue) = 1/three

chance of creating a inexperienced circle :

independent probability

P(green n circle) = p(inexperienced) * p(circle)

P(green n circle) = 1/3 * half of

P(green n circle) = 1/6

= 0.16666

(0.16666 * 100%) = 16.6666%

= 16 2/3%

To learn more  about probability Visit : brainly.com/question/18920335

#SPJ4

3 0
2 years ago
four-fifths of the senior class went to prom. if 324 seniors went to prom, how many are there in the senior class
romanna [79]

The answer to your question is 405, because look divide 324 by 4 becasue thats how many fifths are being used then multiply the answer which is 81 by 405

3 0
3 years ago
(Geometry)<br> Find the value of X<br> Show work
mash [69]
Answer:
Value of X is ——
1) x = 7
7 0
3 years ago
PLSSS HELLLPPPP
-Dominant- [34]

Answer:

provided an easy explanation to give answer below

Step-by-step explanation:

prime numbers are only divisible by 1 and themselves.

2 - 10 prime numbers are

2 3 5 and 7

full list up to 81

2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 and 79

7 0
3 years ago
Read 2 more answers
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