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Slav-nsk [51]
3 years ago
11

Is it possible to have a regular polygon with measure of each exterior angle as 22

Mathematics
2 answers:
harina [27]3 years ago
6 0

Answer:

No

Step-by-step explanation:

Number of sides of a polygon = 360°/measure each exterior angle

= 360°/22

= 16.36°

Since, answer is not a whole number, thus, a regular polygon with measure of each exterior angle as 22⁰ is not possible.

Thus the answer is no.

Sergeeva-Olga [200]3 years ago
6 0

Answer:

No, it is not possible.

Step-by-step explanation:

The sum of the exterior angles = 360

360 divided by 22 = 16.36

As 16.36 is not a whole number an exterior angle of 22 degrees is not possible.

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Kobotan [32]
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3 years ago
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An actor invested some money at 5% simple interest, and $41,000 more than 4 times the amount at 9%. The total annual interest ea
NARA [144]

Answer:

  • The amount invested at 5%=$77,000
  • The amount invested at 9%=$349,000

Step-by-step explanation:

  • Let the amount invested at 5% simple interest =$x

He invested $41,000 more than 4 times the amount at 9%.

  • This amount is: $(4x+41000)

Total Annual Interest Earned = $35,260

Therefore, Time=1 year

Simple Interest=\frac{Principal X Rate X Time}{100}

Therefore, his total interest

=Interest from Investment 1 + Interest from Investment 2

35260=\left(\frac{x*5*1}{100} \right)+\left(\frac{4x+41000*9*1}{100} \right)\\35260=0.05x+(0.36x+3690)\\35260-3690=0.05x+0.36x\\31570=0.41x\\\text{Divide both sides by 0.41}\\x=\$77000

Therefore:

The amount invested at 5%=$77,000

The amount invested at 9%=$(4*77,000+41000)=$349,000

6 0
3 years ago
Y’all I need a lot of help please help me and please show work
Nadya [2.5K]

Answer:

90

Step-by-step explanation:

no of total groups = 2+6+4=12

so in total there are 12 groups

each have equal number of members

so the answer is the number that is not a factor of 12

i hope this help you

this is quite high order thinking question

so don't know about the steps

if you understood then you may write the steps yourself

4 0
3 years ago
Which value for k makes the equation 42 ÷ k = 14 true? Select all that apply. A. 588 B. 62 C. 1452 D. 3 E. 23
Alexus [3.1K]

Answer:

A

Step-by-step explanation:

What divided by 42 equals 14? In other words, you have an unknown number (X), and then if you divide that X by 42 you get 14. Then what is that X? The equation to calculate what divided by 42 equals 14 is as follows: X/42 = 14 Where X is the answer. When we solve the equation by multiplying each side by 42, you get get:

X = 588

3 0
3 years ago
Can someone help me please i need to get this right
mixer [17]

Answer:

If there are 2 quarters for every 3 nickels,

then there are 45*\frac{2}{3} =30 quarters.

If there are 2 dimes for every quarter,

then there are 30*2=60 dimes.

If the number of pennies and nickels together are equal to the number of dimes, then there are 60-45=15 pennies.

6 0
2 years ago
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